Finite Group Databasebeta

← C22×D4×#518 #72324185

Subgroups — C22×D4×#518 #72324185

Order 2048.

2101200 conjugacy classes of subgroups.

The subgroup lattice has 2151 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#34204C214yesmaximal, complemented
2C22×C4×#518C211yesmaximal, characteristic, complemented
3C22×#34181C211yesmaximal, characteristic, complemented
4C22×#34205C214yesmaximal, complemented
5C22×#34210C212yesmaximal, complemented
6C22×#34310C218yesmaximal, complemented
7C24×#518C212yesmaximal, complemented
8C22×D4×#117C212yesmaximal, complemented
9C23×D4×C22⋊C4C214yesmaximal, complemented
10C22×#34198C218yesmaximal, complemented
11C22×C4×D42C218yesmaximal, complemented
12C22×#34171C212yesmaximal, complemented
13C2×D4×#518C21192yesmaximal, direct product factor
14C22×#34290C2116yesmaximal, complemented
15C24×D42C211yesmaximal, characteristic
16C26×D4C2212yes—
17C26×D4C2212yes—
18C23×D42C41128yescomplemented
19C23×D42C22196yes—
20C23×D42C2218yes—
21C23×D42C2214yes—
22C23×D42C2214yes—
23C24×#127C2211yescharacteristic
24C24×#121C2212yes—
25C24×#121C2212yes—
26C24×#120C2214yes—
27C23×#518—2128no—
28C23×#518C2211yescharacteristic
29C23×#518C2212yes—
30C23×#518C2211yescharacteristic
31C23×#518C2218yescomplemented
32C23×#518C2214yescomplemented
33C23×#518C22116yescomplemented
34C23×#518C221192yescomplemented
35C24×C4×D4C2211yescharacteristic
36C24×C4×D4C2211yescharacteristic
37C24×C4×D4C22116yescomplemented
38C24×C4×D4C2218yescomplemented
39C24×#117C2214yescomplemented
40C25×C22⋊C4C2218yescomplemented
41D4×#518C2214096yesdirect product factor
42C2×#34310C221768yescomplemented
43C2×#34290C2211536yescomplemented
44C2×#34210C221192yescomplemented
45C2×#34204C221384yescomplemented
46C2×#34205C221384yescomplemented
47C2×#34198C221768yescomplemented
48C2×#34181C22196yescomplemented
49C2×#34171C221192yescomplemented
50C2×C4×D42C221768yescomplemented
51C22×#2366C2218yescomplemented
52C22×#2366C2218yescomplemented
53C22×#2364C22116yescomplemented
54C22×#2363C22116yescomplemented
55C22×#2361C22116yescomplemented
56C22×#2361C22116yescomplemented
57C22×#2358C22132yescomplemented
58C22×#2358C22132yescomplemented
59C22×#2349C2218yescomplemented
60C2×D4×#117C221192yescomplemented
61C22×#2354C2214yescomplemented
62C22×#2344C2214yescomplemented
63C22×#2352C2218yescomplemented
64C22×#2342C22116yescomplemented
65C22×#2342C2218yescomplemented
66C22×D4×C4⋊C4C2214yescomplemented
67C22×D4×C4⋊C4C2218yescomplemented
68C22×D4×C22⋊C4C2214yes—
69C22×D4×C22⋊C4C221384yescomplemented
70C22×D4×C22⋊C4C2218yescomplemented
71C22×D4×C22⋊C4C22116yescomplemented
72C22×D4×C22⋊C4C2218yescomplemented
73C22×D4×C22⋊C4C2218yescomplemented
74C22×D4×C22⋊C4C22116yescomplemented
75C22×D4×C22⋊C4C22116yescomplemented
76C22×D4×C22⋊C4C22116yescomplemented
77C22×D4×C22⋊C4C2218yescomplemented
78C22×#2328C2218yescomplemented
79C22×#2324C22116yescomplemented
80C22×#2325C22116yescomplemented
81C22×#2321C22132yescomplemented
82C22×#2316C2212yescomplemented
83C22×#2309C2214yescomplemented
84C22×#2315C2214yescomplemented
85C22×#2308C2218yescomplemented
86C22×C4×#127C2218yescomplemented
87C22×C4×#121C22116yescomplemented
88C22×C4×#121C22116yescomplemented
89C22×C4×#120C22132yescomplemented
90C22×#2293C2214yescomplemented
91C23×#390C2218yescomplemented
92C22×#2290C2218yescomplemented
93C23×#386C22116yescomplemented
94C22×#2285C2212yescomplemented
95C22×#2280C2214yescomplemented
96C23×#380C2214yescomplemented
97C23×#379C2218yescomplemented
98C2×C4×#518C22196yescomplemented
99C22×#2275C2218yescomplemented
100C22×#2274C2212yescomplemented
101C22×#2273C2214yescomplemented
102C22×C42×D4C2214yescomplemented
103C22×C42×D4C2218yescomplemented
104C22×C4×#117C2212yescomplemented
105C23×C4×C22⋊C4C2214yescomplemented
106C28C2314yes—
107C25×D4—264no—
108C25×D4—264no—
109C25×D4—464no—
110C25×D4C2×C41128yescomplemented
111C25×D4C2×C41128yescomplemented
112C25×D4C2311yescharacteristic
113C25×D4C2314yes—
114C25×D4C2318yes—
115C25×D4C2314yes—
116C25×D4C2312yes—
117C25×D4C2318yes—
118C25×D4C23196yes—
119C25×D4C2318yes—
120C25×D4C2314yes—
121C25×D4C2314yes—
122C25×D4C2312yes—
123C25×D4C23196yes—
124C25×D4C2312yes—
125C25×D4C2311yescharacteristic
126C26×C4C2312yes—
127C26×C4C2312yes—
128C26×C4C23116yescomplemented
129C22×D42C2×C41256yescomplemented
130C22×D42C2×C41512yescomplemented
131C22×D42C2×C41256yescomplemented
132C22×D42C2×C416144yescomplemented
133C22×D42C231384yes—
134C22×D42C231192yes—
135C22×D42C2311024yes—
136C22×D42C231192yes—
137C23×#127C2×C4164yescomplemented
138C23×#127C2314yes—
139C23×#127C23148yes—
140C23×#127C2314yes—
141C23×#121C2×C41128yescomplemented
142C23×#121C2×C41128yescomplemented
143C23×#121C23196yes—
144C23×#121C2318yes—
145C23×#121C2318yes—
146C23×#121C23196yes—
147C23×#121C2318yes—
148C23×#121C2318yes—
149C23×#120C2×C41256yescomplemented
150C23×#120C23116yes—
151C23×#120C23116yes—
152C23×#120C231192yes—
153C22×#518—26144no—
154C22×#518—2512no—
155C22×#518—2128no—
156C22×#518—2256no—
157C22×#518—264no—
158C22×#518—232no—
159C22×#518D4164yesdirect product factor
160C22×#518C23196yes—
161C22×#518C23148yes—
162C22×#518C23148yes—
163C22×#518C231384yescomplemented
164C22×#518C231192yescomplemented
165C22×#518C231768yescomplemented
166C22×#518C2312048yescomplemented
167C23×C4×D4—2512no—
168C23×C4×D4—4128no—
169C23×C4×D4C2×C4164yescomplemented
170C23×C4×D4C2×C4164yescomplemented
171C23×C4×D4C2318yes—
172C23×C4×D4C23116yes—
173C23×C4×D4C2318yes—
174C23×C4×D4C2312yes—
175C23×C4×D4C2314yes—
176C23×C4×D4C2312yes—
177C23×C4×D4C2314yes—
178C23×C4×D4C23148yes—
179C23×C4×D4C2314yes—
180C23×C4×D4C23148yes—
181C23×C4×D4C2318yes—
182C23×C4×D4C23132yescomplemented
183C23×C4×D4C23116yescomplemented
184C23×C4×D4C23132yescomplemented
185C23×C4×D4C23116yescomplemented
186C23×C4×D4C23132yescomplemented
187C23×C4×D4C23116yescomplemented
188C23×C4×D4C23116yescomplemented
189C23×C4×D4C231768yescomplemented
190C23×C4×D4C231384yescomplemented
191C23×#117—2128no—
192C23×#117C2312yes—
193C23×#117C2314yes—
194C23×#117C2318yes—
195C23×#117C2312yes—
196C23×#117C2318yescomplemented
197C23×#117C2318yescomplemented
198C23×#117C231192yescomplemented
199C24×C4⋊C4C2311yescharacteristic
200C24×C4⋊C4C2311yescharacteristic
201C24×C4⋊C4C2318yescomplemented
202C24×C4⋊C4C2318yescomplemented
203C24×C22⋊C4—2256no—
204C24×C22⋊C4C2314yes—
205C24×C22⋊C4C2318yes—
206C24×C22⋊C4C2318yes—
207C24×C22⋊C4C23116yes—
208C24×C22⋊C4C2312yes—
209C24×C22⋊C4C2312yes—
210C24×C22⋊C4C2314yes—
211C24×C22⋊C4C2314yes—
212C24×C22⋊C4C23116yescomplemented
213C24×C22⋊C4C23116yescomplemented
214C24×C22⋊C4C23116yescomplemented
215C24×C22⋊C4C23116yescomplemented
216C24×C22⋊C4C23116yescomplemented
217C24×C22⋊C4C231384yescomplemented
218C24×C42C2311yescharacteristic
219C24×C42C2318yescomplemented
220C24×C42C2318yescomplemented
221#34310C2318192yescomplemented
222#34290C23116384yescomplemented
223#34210C2312048yescomplemented
224#34205C2314096yescomplemented
225#34204C2314096yescomplemented
226#34198C2318192yescomplemented
227#34181C2311024yescomplemented
228#34171C2312048yescomplemented
229C4×D42C2318192yescomplemented
230C2×#2366C231384yescomplemented
231C2×#2366C231384yescomplemented
232C2×#2364C231768yescomplemented
233C2×#2363C231768yescomplemented
234C2×#2361C231768yescomplemented
235C2×#2361C231768yescomplemented
236C2×#2358C2311536yescomplemented
237C2×#2358C2311536yescomplemented
238D4×#117C2312048yescomplemented
239C2×#2354C231192yescomplemented
240C2×#2352C231384yescomplemented
241C2×#2349C231384yescomplemented
242C2×D4×C4⋊C4C231192yescomplemented
243C2×D4×C4⋊C4C231384yescomplemented
244C2×#2344C231192yescomplemented
245C2×#2342C231768yescomplemented
246C2×#2342C231384yescomplemented
247C2×D4×C22⋊C4C231192yes—
248C2×D4×C22⋊C4C2314096yescomplemented
249C2×D4×C22⋊C4C231384yescomplemented
250C2×D4×C22⋊C4C231768yescomplemented
251C2×D4×C22⋊C4C231384yescomplemented
252C2×D4×C22⋊C4C231384yescomplemented
253C2×D4×C22⋊C4C231768yescomplemented
254C2×D4×C22⋊C4C231768yescomplemented
255C2×D4×C22⋊C4C231768yescomplemented
256C2×D4×C22⋊C4C231384yescomplemented
257C2×#2328C231384yescomplemented
258C2×#2325C231768yescomplemented
259C2×#2324C231768yescomplemented
260C2×#2321C2311536yescomplemented
261C2×#2316C23196yescomplemented
262C2×#2315C231192yescomplemented
263C2×#2309C231192yescomplemented
264C2×#2308C231384yescomplemented
265C2×C4×#127C231384yescomplemented
266C2×C4×#121C231768yescomplemented
267C2×C4×#121C231768yescomplemented
268C2×C4×#120C2311536yescomplemented
269C2×#2293C231192yescomplemented
270C22×#390C2318yes—
271C22×#390C23116yescomplemented
272C22×#390C23132yescomplemented
273C22×#390C23116yescomplemented
274C22×#390C23116yescomplemented
275C22×#390C23116yescomplemented
276C22×#390C231384yescomplemented
277C22×#389C2318yescomplemented
278C22×#389C23116yescomplemented
279C2×#2290C231384yescomplemented
280C22×#388C23116yescomplemented
281C22×#388C23116yescomplemented
282C22×#388C23132yescomplemented
283C22×#388C23132yescomplemented
284C22×#387C23116yescomplemented
285C22×#386C23116yes—
286C22×#386C23132yescomplemented
287C22×#386C23132yescomplemented
288C22×#386C23132yescomplemented
289C22×#386C23132yescomplemented
290C22×#386C23132yescomplemented
291C22×#386C23132yescomplemented
292C22×#386C231768yescomplemented
293C22×#385C23116yescomplemented
294C22×#385C23132yescomplemented
295C22×#385C23132yescomplemented
296C2×#2285C23196yescomplemented
297C22×#384C2314yescomplemented
298C22×#382C2314yescomplemented
299C2×#2280C231192yescomplemented
300C22×#381C2318yes—
301C22×#380C2314yes—
302C22×#380C2318yes—
303C22×#380C2314yes—
304C22×#380C2318yescomplemented
305C22×#380C2318yescomplemented
306C22×#380C2318yescomplemented
307C22×#380C2318yescomplemented
308C22×#380C231192yescomplemented
309C22×#379C2318yes—
310C22×#379C23116yes—
311C22×#379C23116yescomplemented
312C22×#379C23116yescomplemented
313C22×#379C231384yescomplemented
314C4×#518C2311024yescomplemented
315C2×#2275C231384yescomplemented
316C2×#2274C23196yescomplemented
317C2×#2273C231192yescomplemented
318C2×C42×D4C231192yescomplemented
319C2×C42×D4C231384yescomplemented
320C2×C4×#117C23196yescomplemented
321C22×C4×C4⋊C4C2314yescomplemented
322C22×C4×C4⋊C4C2314yescomplemented
323C22×C4×C4⋊C4C2318yescomplemented
324C22×C4×C4⋊C4C2318yescomplemented
325C22×C4×C4⋊C4C2314yescomplemented
326C22×C4×C4⋊C4C2314yescomplemented
327C22×C4×C4⋊C4C2318yescomplemented
328C22×C4×C22⋊C4C2314yes—
329C22×C4×C22⋊C4C2318yes—
330C22×C4×C22⋊C4C2314yes—
331C22×C4×C22⋊C4C2318yescomplemented
332C22×C4×C22⋊C4C2318yescomplemented
333C22×C4×C22⋊C4C23116yescomplemented
334C22×C4×C22⋊C4C23116yescomplemented
335C22×C4×C22⋊C4C23132yescomplemented
336C22×C4×C22⋊C4C2318yescomplemented
337C22×C4×C22⋊C4C2318yescomplemented
338C22×C4×C22⋊C4C23116yescomplemented
339C22×C4×C22⋊C4C231192yescomplemented
340C22×#376C2314yescomplemented
341C23×#95C2318yescomplemented
342C23×#95C2318yescomplemented
343C22×C43C2314yescomplemented
344C27—264no—
345C27—264no—
346C27—464no—
347C27—832no—
348C27C22×C41128yescomplemented
349C27C2412yes—
350C27C2418yes—
351C27C2414yes—
352C27C2418yes—
353C27C24196yes—
354C27C2412yes—
355C24×D4—264no—
356C24×D4—264no—
357C24×D4—24096no—
358C24×D4—2128no—
359C24×D4—2128no—
360C24×D4—21536no—
361C24×D4—2128no—
362C24×D4—2128no—
363C24×D4—21536no—
364C24×D4—232no—
365C24×D4—2128no—
366C24×D4—232no—
367C24×D4—232no—
368C24×D4—432no—
369C24×D4—464no—
370C24×D4—42048no—
371C24×D4—41536no—
372C24×D4—4128no—
373C24×D4—464no—
374C24×D4—816no—
375C24×D4C22×C4132yes—
376C24×D4C22×C41128yes—
377C24×D4C22×C4132yes—
378C24×D4C22×C41128yescomplemented
379C24×D4C22×C4164yescomplemented
380C24×D4C22×C41256yescomplemented
381C24×D4C22×C41256yescomplemented
382C24×D4C22×C41128yescomplemented
383C24×D4C22×C4164yescomplemented
384C24×D4C22×C41128yescomplemented
385C24×D4C22×C41256yescomplemented
386C24×D4C22×C4164yescomplemented
387C24×D4C22×C413072yescomplemented
388C24×D4C22×C413072yescomplemented
389C24×D4C2×D4132yes—
390C24×D4#41132yes—
391C24×D4C24124yes—
392C24×D4C24196yes—
393C24×D4C2412yes—
394C24×D4C2411yescharacteristic
395C24×D4C24116yes—
396C24×D4C2418yes—
397C24×D4C2418yes—
398C24×D4C2414yes—
399C24×D4C241192yes—
400C24×D4C241192yes—
401C24×D4C241512yes—
402C24×D4C24196yes—
403C24×D4C24148yes—
404C24×D4C2418yes—
405C24×D4C2414yes—
406C24×D4C2418yes—
407C24×D4C24196yes—
408C24×D4C24148yes—
409C24×D4C241512yes—
410C24×D4C241192yes—
411C24×D4C24196yes—
412C24×D4C24148yes—
413C24×D4C2414yes—
414C24×D4C24124yes—
415C24×D4C2411yescharacteristic
416C25×C4—232no—
417C25×C4—232no—
418C25×C4—2256no—
419C25×C4—432no—
420C25×C4—4128no—
421C25×C4—864no—
422C25×C4C22×C4164yescomplemented
423C25×C4C22×C4164yescomplemented
424C25×C4C24116yes—
425C25×C4C2411yescharacteristic
426C25×C4C2414yes—
427C25×C4C2414yes—
428C25×C4C2412yes—
429C25×C4C2414yes—
430C25×C4C24148yes—
431C25×C4C24116yes—
432C25×C4C24132yes—
433C25×C4C2418yes—
434C25×C4C2412yes—
435C25×C4C2414yes—
436C25×C4C2411yescharacteristic
437C25×C4C24148yes—
438C25×C4C2418yes—
439C25×C4C2411yescharacteristic
440C25×C4C241384yescomplemented
441C2×D42C22×C416144yescomplemented
442C2×D42C22×C4112288yescomplemented
443C2×D42C22×C416144yescomplemented
444C2×D42C22×C4132768yescomplemented
445C2×D42C2411024yes—
446C2×D42C2411024yes—
447C2×D42C2412048yes—
448C22×#127C22×C41128yescomplemented
449C22×#127C22×C41128yescomplemented
450C22×#127C22×C411536yescomplemented
451C22×#127C24196yes—
452C22×#127C24196yes—
453C22×#127C241256yes—
454C22×#121C22×C41256yescomplemented
455C22×#121C22×C41256yescomplemented
456C22×#121C22×C41256yescomplemented
457C22×#121C22×C41256yescomplemented
458C22×#121C22×C413072yescomplemented
459C22×#121C22×C413072yescomplemented
460C22×#121C241192yes—
461C22×#121C241192yes—
462C22×#121C241192yes—
463C22×#121C241192yes—
464C22×#121C241512yes—
465C22×#121C241512yes—
466C22×#120C22×C41512yescomplemented
467C22×#120C22×C41512yescomplemented
468C22×#120C22×C416144yescomplemented
469C22×#120C241384yes—
470C22×#120C241384yes—
471C22×#120C2411024yes—
472C2×#518—21536no—
473C2×#518—2768no—
474C2×#518—232768no—
475C2×#518—212288no—
476C2×#518—23072no—
477C2×#518—26144no—
478C2×#518C2×D411536yesdirect product factor
479C2×#518C241256yes—
480C2×#518C241512yes—
481C2×#518C241256yes—
482C2×#518C2412048yescomplemented
483C2×#518C2411024yescomplemented
484C2×#518C2414096yescomplemented
485C22×C4×D4—2256no—
486C22×C4×D4—2256no—
487C22×C4×D4—2128no—
488C22×C4×D4—2128no—
489C22×C4×D4—2512no—
490C22×C4×D4—212288no—
491C22×C4×D4—2256no—
492C22×C4×D4—2512no—
493C22×C4×D4—4256no—
494C22×C4×D4—4128no—
495C22×C4×D4—43072no—
496C22×C4×D4—864no—
497C22×C4×D4C22×C4164yes—
498C22×C4×D4C22×C41128yescomplemented
499C22×C4×D4C22×C4164yescomplemented
500C22×C4×D4C22×C41128yescomplemented
501C22×C4×D4C22×C41128yescomplemented
502C22×C4×D4C22×C411536yescomplemented
503C22×C4×D4C22×C411536yescomplemented
504C22×C4×D4C2×D41256yescomplemented
505C22×C4×D4C241192yes—
506C22×C4×D4C241192yes—
507C22×C4×D4C241384yes—
508C22×C4×D4C24148yes—
509C22×C4×D4C24196yes—
510C22×C4×D4C24196yes—
511C22×C4×D4C24196yes—
512C22×C4×D4C24148yes—
513C22×C4×D4C241256yes—
514C22×C4×D4C241256yes—
515C22×C4×D4C241192yes—
516C22×C4×D4C241768yescomplemented
517C22×C4×D4C241384yescomplemented
518C22×C4×D4C241768yescomplemented
519C22×C4×D4C241384yescomplemented
520C22×C4×D4C241768yescomplemented
521C22×C4×D4C241384yescomplemented
522C22×C4×D4C241384yescomplemented
523C22×C4×D4C2414096yescomplemented
524C22×C4×D4C2412048yescomplemented
525C22×#117—2128no—
526C22×#117—264no—
527C22×#117—232no—
528C22×#117—23072no—
529C22×#117—2128no—
530C22×#117—2128no—
531C22×#117C2×D4164yescomplemented
532C22×#117C24196yes—
533C22×#117C241192yes—
534C22×#117C24148yes—
535C22×#117C24148yes—
536C22×#117C241192yescomplemented
537C22×#117C241192yescomplemented
538C22×#117C2411024yescomplemented
539C23×C4⋊C4—2128no—
540C23×C4⋊C4—464no—
541C23×C4⋊C4C22×C4132yescomplemented
542C23×C4⋊C4C22×C4132yescomplemented
543C23×C4⋊C4C2418yes—
544C23×C4⋊C4C2418yes—
545C23×C4⋊C4C24116yes—
546C23×C4⋊C4C2414yes—
547C23×C4⋊C4C24116yes—
548C23×C4⋊C4C2418yes—
549C23×C4⋊C4C2412yes—
550C23×C4⋊C4C2414yes—
551C23×C4⋊C4C2412yes—
552C23×C4⋊C4C24124yes—
553C23×C4⋊C4C24124yes—
554C23×C4⋊C4C2414yes—
555C23×C4⋊C4C241192yescomplemented
556C23×C4⋊C4C241192yescomplemented
557C23×C22⋊C4—2128no—
558C23×C22⋊C4—264no—
559C23×C22⋊C4—2256no—
560C23×C22⋊C4—2128no—
561C23×C22⋊C4—2256no—
562C23×C22⋊C4—2256no—
563C23×C22⋊C4—2256no—
564C23×C22⋊C4—26144no—
565C23×C22⋊C4—4128no—
566C23×C22⋊C4—864no—
567C23×C22⋊C4C22×C4164yescomplemented
568C23×C22⋊C4C22×C4164yescomplemented
569C23×C22⋊C4C22×C41128yescomplemented
570C23×C22⋊C4C2×D41128yescomplemented
571C23×C22⋊C4C241192yes—
572C23×C22⋊C4C241192yes—
573C23×C22⋊C4C241384yes—
574C23×C22⋊C4C2418yes—
575C23×C22⋊C4C2414yes—
576C23×C22⋊C4C24116yes—
577C23×C22⋊C4C24116yes—
578C23×C22⋊C4C24132yes—
579C23×C22⋊C4C2418yes—
580C23×C22⋊C4C24196yes—
581C23×C22⋊C4C24116yes—
582C23×C22⋊C4C24116yes—
583C23×C22⋊C4C24132yes—
584C23×C22⋊C4C24132yes—
585C23×C22⋊C4C2414yes—
586C23×C22⋊C4C2418yes—
587C23×C22⋊C4C2414yes—
588C23×C22⋊C4C24116yes—
589C23×C22⋊C4C24148yes—
590C23×C22⋊C4C24148yes—
591C23×C22⋊C4C24196yes—
592C23×C22⋊C4C2414yes—
593C23×C22⋊C4C2418yes—
594C23×C22⋊C4C24196yes—
595C23×C22⋊C4C2412048yescomplemented
596C23×C22⋊C4C241384yescomplemented
597C23×C22⋊C4C241384yescomplemented
598C23×C22⋊C4C241384yescomplemented
599C23×C22⋊C4C241384yescomplemented
600C23×C22⋊C4C241384yescomplemented
601C23×C42—2128no—
602C23×C42—464no—
603C23×C42C22×C4132yescomplemented
604C23×C42C2418yes—
605C23×C42C2418yes—
606C23×C42C24116yes—
607C23×C42C2414yes—
608C23×C42C24116yes—
609C23×C42C2418yes—
610C23×C42C2412yes—
611C23×C42C2412yes—
612C23×C42C24124yes—
613C23×C42C2414yes—
614C23×C42C241192yescomplemented
615C23×C42C241192yescomplemented
616#2366C2412048yescomplemented
617#2366C2412048yescomplemented
618#2364C2414096yescomplemented
619#2363C2414096yescomplemented
620#2361C2414096yescomplemented
621#2361C2414096yescomplemented
622#2358C2418192yescomplemented
623#2358C2418192yescomplemented
624#2354C2411024yescomplemented
625#2352C2412048yescomplemented
626#2349C2412048yescomplemented
627D4×C4⋊C4C2412048yescomplemented
628D4×C4⋊C4C2411024yescomplemented
629#2344C2411024yescomplemented
630#2342C2412048yescomplemented
631#2342C2414096yescomplemented
632D4×C22⋊C4C2411024yes—
633D4×C22⋊C4C2414096yescomplemented
634D4×C22⋊C4C2412048yescomplemented
635D4×C22⋊C4C2412048yescomplemented
636D4×C22⋊C4C2414096yescomplemented
637D4×C22⋊C4C2412048yescomplemented
638D4×C22⋊C4C2414096yescomplemented
639D4×C22⋊C4C2414096yescomplemented
640D4×C22⋊C4C2412048yescomplemented
641#2328C2412048yescomplemented
642#2325C2414096yescomplemented
643#2324C2414096yescomplemented
644#2321C2418192yescomplemented
645#2316C241512yescomplemented
646#2315C2411024yescomplemented
647#2309C2411024yescomplemented
648#2308C2412048yescomplemented
649C4×#127C2412048yescomplemented
650C4×#121C2414096yescomplemented
651C4×#121C2414096yescomplemented
652C4×#120C2418192yescomplemented
653#2293C2411024yescomplemented
654C2×#390C241192yes—
655C2×#390C241384yescomplemented
656C2×#390C241768yescomplemented
657C2×#390C241384yescomplemented
658C2×#390C241384yescomplemented
659C2×#390C241384yescomplemented
660C2×#390C2412048yescomplemented
661C2×#389C241384yescomplemented
662C2×#389C241192yescomplemented
663#2290C2412048yescomplemented
664C2×#388C241384yescomplemented
665C2×#388C241384yescomplemented
666C2×#388C241768yescomplemented
667C2×#388C241768yescomplemented
668C2×#387C241384yescomplemented
669C2×#386C241384yes—
670C2×#386C241768yescomplemented
671C2×#386C241768yescomplemented
672C2×#386C241768yescomplemented
673C2×#386C241768yescomplemented
674C2×#386C241768yescomplemented
675C2×#386C241768yescomplemented
676C2×#386C2414096yescomplemented
677C2×#385C241768yescomplemented
678C2×#385C241768yescomplemented
679C2×#385C241384yescomplemented
680#2285C241512yescomplemented
681C2×#384C24196yescomplemented
682C2×#382C24196yescomplemented
683#2280C2411024yescomplemented
684C2×#381C241192yes—
685C2×#380C24196yes—
686C2×#380C241192yes—
687C2×#380C24196yes—
688C2×#380C241192yescomplemented
689C2×#380C241192yescomplemented
690C2×#380C241192yescomplemented
691C2×#380C241192yescomplemented
692C2×#380C2411024yescomplemented
693C2×#379C241192yes—
694C2×#379C241384yes—
695C2×#379C241384yescomplemented
696C2×#379C241384yescomplemented
697C2×#379C2412048yescomplemented
698#2275C2412048yescomplemented
699#2274C241512yescomplemented
700#2273C2411024yescomplemented
701C42×D4C2412048yescomplemented
702C42×D4C2411024yescomplemented
703C4×#117C241512yescomplemented
704C2×C4×C4⋊C4C241192yescomplemented
705C2×C4×C4⋊C4C241192yescomplemented
706C2×C4×C4⋊C4C24196yescomplemented
707C2×C4×C4⋊C4C24196yescomplemented
708C2×C4×C4⋊C4C24196yescomplemented
709C2×C4×C4⋊C4C24196yescomplemented
710C2×C4×C4⋊C4C241192yescomplemented
711C2×C4×C22⋊C4C24196yes—
712C2×C4×C22⋊C4C241192yes—
713C2×C4×C22⋊C4C24196yes—
714C2×C4×C22⋊C4C241384yescomplemented
715C2×C4×C22⋊C4C241192yescomplemented
716C2×C4×C22⋊C4C241192yescomplemented
717C2×C4×C22⋊C4C241192yescomplemented
718C2×C4×C22⋊C4C241192yescomplemented
719C2×C4×C22⋊C4C241384yescomplemented
720C2×C4×C22⋊C4C241768yescomplemented
721C2×C4×C22⋊C4C241384yescomplemented
722C2×C4×C22⋊C4C2411024yescomplemented
723C2×#376C24196yescomplemented
724C22×#95C2418yes—
725C22×#95C2418yes—
726C22×#95C24116yes—
727C22×#95C24116yes—
728C22×#95C2418yes—
729C22×#95C24116yes—
730C22×#95C2418yes—
731C22×#95C24116yes—
732C22×#95C241192yescomplemented
733C22×#95C241192yescomplemented
734C2×C43C24196yescomplemented
735C26—264no—
736C26—216no—
737C26—216no—
738C26—264no—
739C26—2128no—
740C26—232no—
741C26—22048no—
742C26—2768no—
743C26—264no—
744C26—232no—
745C26—2768no—
746C26—264no—
747C26—232no—
748C26—416no—
749C26—464no—
750C26—416no—
751C26—416no—
752C26—41024no—
753C26—464no—
754C26—432no—
755C26—4768no—
756C26—432no—
757C26—464no—
758C26—8512no—
759C26—8384no—
760C26—81024no—
761C26—81024no—
762C26C23×C4132yes—
763C26C23×C41128yes—
764C26C23×C4164yes—
765C26C23×C41128yes—
766C26C23×C4132yes—
767C26C23×C411536yescomplemented
768C26C22×D4132yes—
769C26C2×#41132yes—
770C26C2518yes—
771C26C2512yes—
772C26C25124yes—
773C26C25196yes—
774C26C2514yes—
775C26C2511yescharacteristic
776C26C2512yes—
777C26C25148yes—
778C26C25196yes—
779C26C251256yes—
780C26C25124yes—
781C23×D4—22048no—
782C23×D4—2128no—
783C23×D4—2768no—
784C23×D4—2128no—
785C23×D4—2768no—
786C23×D4—232no—
787C23×D4—2128no—
788C23×D4—24096no—
789C23×D4—24096no—
790C23×D4—249152no—
791C23×D4—2512no—
792C23×D4—22048no—
793C23×D4—21536no—
794C23×D4—21536no—
795C23×D4—24096no—
796C23×D4—21536no—
797C23×D4—21536no—
798C23×D4—24096no—
799C23×D4—2384no—
800C23×D4—21536no—
801C23×D4—21024no—
802C23×D4—264no—
803C23×D4—2384no—
804C23×D4—264no—
805C23×D4—2384no—
806C23×D4—216no—
807C23×D4—264no—
808C23×D4—4512no—
809C23×D4—41024no—
810C23×D4—4768no—
811C23×D4—4384no—
812C23×D4—464no—
813C23×D4—432no—
814C23×D4—464no—
815C23×D4—424576no—
816C23×D4—44096no—
817C23×D4—42048no—
818C23×D4—41024no—
819C23×D4—4768no—
820C23×D4—41536no—
821C23×D4—8256no—
822C23×D4—8192no—
823C23×D4C4×D411024yescomplemented
824C23×D4C23×C4132yes—
825C23×D4C23×C41384yes—
826C23×D4C23×C4116yes—
827C23×D4C23×C41128yes—
828C23×D4C23×C4164yes—
829C23×D4C23×C411536yes—
830C23×D4C23×C41256yes—
831C23×D4C23×C41128yes—
832C23×D4C23×C41128yes—
833C23×D4C23×C4164yes—
834C23×D4C23×C41128yes—
835C23×D4C23×C4164yes—
836C23×D4C23×C41384yes—
837C23×D4C23×C4116yes—
838C23×D4C23×C411536yescomplemented
839C23×D4C23×C41768yescomplemented
840C23×D4C23×C413072yescomplemented
841C23×D4C23×C413072yescomplemented
842C23×D4C23×C411536yescomplemented
843C23×D4C23×C41768yescomplemented
844C23×D4C23×C411536yescomplemented
845C23×D4C23×C413072yescomplemented
846C23×D4C23×C41768yescomplemented
847C23×D4C23×C418192yescomplemented
848C23×D4C23×C418192yescomplemented
849C23×D4C22×D4164yes—
850C23×D4C22×D41384yes—
851C23×D4C2×#41164yes—
852C23×D4C2×#411384yes—
853C23×D4H(5,𝔽2)132yes—
854C23×D4C25164yes—
855C23×D4C25124yes—
856C23×D4C25112yes—
857C23×D4C251256yes—
858C23×D4C251192yes—
859C23×D4C25196yes—
860C23×D4C25196yes—
861C23×D4C25148yes—
862C23×D4C251256yes—
863C23×D4C251128yes—
864C23×D4C251512yes—
865C23×D4C251512yes—
866C23×D4C25196yes—
867C23×D4C25148yes—
868C23×D4C25196yes—
869C23×D4C251256yes—
870C23×D4C251128yes—
871C23×D4C251512yes—
872C23×D4C251256yes—
873C23×D4C251128yes—
874C23×D4C25148yes—
875C23×D4C25164yes—
876C23×D4C25112yes—
877C24×C4—216no—
878C24×C4—216no—
879C24×C4—21024no—
880C24×C4—232no—
881C24×C4—232no—
882C24×C4—2384no—
883C24×C4—232no—
884C24×C4—232no—
885C24×C4—2384no—
886C24×C4—216no—
887C24×C4—264no—
888C24×C4—2128no—
889C24×C4—2128no—
890C24×C4—264no—
891C24×C4—2128no—
892C24×C4—2256no—
893C24×C4—23072no—
894C24×C4—4512no—
895C24×C4—4384no—
896C24×C4—432no—
897C24×C4—416no—
898C24×C4—432no—
899C24×C4—432no—
900C24×C4—464no—
901C24×C4—48no—
902C24×C4—464no—
903C24×C4—4128no—
904C24×C4—41536no—
905C24×C4—464no—
906C24×C4—4128no—
907C24×C4—432no—
908C24×C4—432no—
909C24×C4—8768no—
910C24×C4—82048no—
911C24×C4C23×C4116yes—
912C24×C4C23×C4164yes—
913C24×C4C23×C4132yes—
914C24×C4C23×C4164yes—
915C24×C4C23×C4164yes—
916C24×C4C23×C4132yes—
917C24×C4C23×C4164yes—
918C24×C4C23×C4116yes—
919C24×C4C23×C4116yes—
920C24×C4C23×C41768yescomplemented
921C24×C4C23×C41768yescomplemented
922C24×C4C22×D4116yes—
923C24×C4C22×D41128yescomplemented
924C24×C4C2×#41116yes—
925C24×C4C25116yes—
926C24×C4C2518yes—
927C24×C4C251192yes—
928C24×C4C25112yes—
929C24×C4C25148yes—
930C24×C4C25148yes—
931C24×C4C25124yes—
932C24×C4C25148yes—
933C24×C4C2511yescharacteristic
934C24×C4C2514yes—
935C24×C4C2514yes—
936C24×C4C2512yes—
937C24×C4C251128yes—
938C24×C4C2518yes—
939C24×C4C251192yes—
940C24×C4C251384yes—
941C24×C4C25196yes—
942C24×C4C25124yes—
943C24×C4C25148yes—
944C24×C4C25112yes—
945C24×C4C251128yes—
946C24×C4C25196yes—
947C24×C4C25112yes—
948C24×C4C2512yes—
949C24×C4C2511yescharacteristic
950C24×C4C2511024yescomplemented
951D42C23×C4116384yescomplemented
952D42C23×C4116384yescomplemented
953D42C23×C4132768yescomplemented
954C2×#127C23×C411536yescomplemented
955C2×#127C23×C411536yescomplemented
956C2×#127C23×C414096yescomplemented
957C2×#127C251256yes—
958C2×#127C251256yes—
959C2×#121C23×C413072yescomplemented
960C2×#121C23×C413072yescomplemented
961C2×#121C23×C413072yescomplemented
962C2×#121C23×C413072yescomplemented
963C2×#121C23×C418192yescomplemented
964C2×#121C23×C418192yescomplemented
965C2×#121C251512yes—
966C2×#121C251512yes—
967C2×#121C251512yes—
968C2×#121C251512yes—
969C2×#120C23×C416144yescomplemented
970C2×#120C23×C416144yescomplemented
971C2×#120C23×C4116384yescomplemented
972C2×#120C2511024yes—
973C2×#120C2511024yes—
974#518—24096no—
975#518—22048no—
976#518—232768no—
977#518—28192no—
978#518—216384no—
979#518C22×D414096yesdirect product factor
980C2×C4×D4—23072no—
981C2×C4×D4—21536no—
982C2×C4×D4—21536no—
983C2×C4×D4—26144no—
984C2×C4×D4—232768no—
985C2×C4×D4—23072no—
986C2×C4×D4—26144no—
987C2×C4×D4—23072no—
988C2×C4×D4—41536no—
989C2×C4×D4—43072no—
990C2×C4×D4—48192no—
991C2×C4×D4—8768no—
992C2×C4×D4C23×C41768yes—
993C2×C4×D4C23×C41768yescomplemented
994C2×C4×D4C23×C411536yescomplemented
995C2×C4×D4C23×C411536yescomplemented
996C2×C4×D4C23×C411536yescomplemented
997C2×C4×D4C23×C414096yescomplemented
998C2×C4×D4C23×C414096yescomplemented
999C2×C4×D4C22×D413072yescomplemented
1000C2×C4×D4C251512yes—
1001C2×C4×D4C251512yes—
1002C2×C4×D4C2511024yes—
1003C2×C4×D4C251128yes—
1004C2×C4×D4C251256yes—
1005C2×C4×D4C251256yes—
1006C2×C4×D4C251256yes—
1007C2×C4×D4C251128yes—
1008C2×C4×D4C251512yes—
1009C2×C4×D4C2511024yescomplemented
1010C2×C4×D4C2512048yescomplemented
1011C2×C4×D4C2512048yescomplemented
1012C2×C4×D4C2511024yescomplemented
1013C2×C4×D4C2511024yescomplemented
1014C2×C4×D4C2512048yescomplemented
1015C2×C4×D4C2511024yescomplemented
1016C2×#117—2768no—
1017C2×#117—2384no—
1018C2×#117—28192no—
1019C2×#117—21536no—
1020C2×#117—21536no—
1021C2×#117—21536no—
1022C2×#117C22×D41768yescomplemented
1023C2×#117C251128yes—
1024C2×#117C251256yes—
1025C2×#117C251512yes—
1026C2×#117C251128yes—
1027C2×#117C251512yescomplemented
1028C2×#117C251512yescomplemented
1029C22×C4⋊C4—2128no—
1030C22×C4⋊C4—264no—
1031C22×C4⋊C4—232no—
1032C22×C4⋊C4—264no—
1033C22×C4⋊C4—21536no—
1034C22×C4⋊C4—4768no—
1035C22×C4⋊C4—464no—
1036C22×C4⋊C4—432no—
1037C22×C4⋊C4C23×C4132yes—
1038C22×C4⋊C4C23×C4132yes—
1039C22×C4⋊C4C23×C4164yes—
1040C22×C4⋊C4C23×C41384yescomplemented
1041C22×C4⋊C4C23×C41384yescomplemented
1042C22×C4⋊C4C22×D4164yescomplemented
1043C22×C4⋊C4C25196yes—
1044C22×C4⋊C4C25196yes—
1045C22×C4⋊C4C251192yes—
1046C22×C4⋊C4C25148yes—
1047C22×C4⋊C4C251192yes—
1048C22×C4⋊C4C25196yes—
1049C22×C4⋊C4C25124yes—
1050C22×C4⋊C4C25148yes—
1051C22×C4⋊C4C25124yes—
1052C22×C4⋊C4C25164yes—
1053C22×C4⋊C4C25164yes—
1054C22×C4⋊C4C25148yes—
1055C22×C4⋊C4C251512yescomplemented
1056C22×C4⋊C4C251512yescomplemented
1057C22×C22⋊C4—264no—
1058C22×C22⋊C4—2128no—
1059C22×C22⋊C4—21536no—
1060C22×C22⋊C4—232no—
1061C22×C22⋊C4—264no—
1062C22×C22⋊C4—2768no—
1063C22×C22⋊C4—2128no—
1064C22×C22⋊C4—2128no—
1065C22×C22⋊C4—2256no—
1066C22×C22⋊C4—23072no—
1067C22×C22⋊C4—21536no—
1068C22×C22⋊C4—23072no—
1069C22×C22⋊C4—23072no—
1070C22×C22⋊C4—23072no—
1071C22×C22⋊C4—216384no—
1072C22×C22⋊C4—41536no—
1073C22×C22⋊C4—4128no—
1074C22×C22⋊C4—464no—
1075C22×C22⋊C4—4128no—
1076C22×C22⋊C4—8768no—
1077C22×C22⋊C4C23×C4164yes—
1078C22×C22⋊C4C23×C4164yes—
1079C22×C22⋊C4C23×C41128yes—
1080C22×C22⋊C4C23×C41256yes—
1081C22×C22⋊C4C23×C41768yescomplemented
1082C22×C22⋊C4C23×C41768yescomplemented
1083C22×C22⋊C4C23×C411536yescomplemented
1084C22×C22⋊C4C22×D4164yes—
1085C22×C22⋊C4C22×D411536yescomplemented
1086C22×C22⋊C4C22×D41128yescomplemented
1087C22×C22⋊C4C251256yes—
1088C22×C22⋊C4C251512yes—
1089C22×C22⋊C4C251512yes—
1090C22×C22⋊C4C2511024yes—
1091C22×C22⋊C4C25196yes—
1092C22×C22⋊C4C25148yes—
1093C22×C22⋊C4C251192yes—
1094C22×C22⋊C4C251192yes—
1095C22×C22⋊C4C251384yes—
1096C22×C22⋊C4C25196yes—
1097C22×C22⋊C4C251192yes—
1098C22×C22⋊C4C251192yes—
1099C22×C22⋊C4C251384yes—
1100C22×C22⋊C4C251384yes—
1101C22×C22⋊C4C25148yes—
1102C22×C22⋊C4C25196yes—
1103C22×C22⋊C4C25148yes—
1104C22×C22⋊C4C251192yes—
1105C22×C22⋊C4C251128yes—
1106C22×C22⋊C4C251128yes—
1107C22×C22⋊C4C251256yes—
1108C22×C22⋊C4C25148yes—
1109C22×C22⋊C4C25196yes—
1110C22×C22⋊C4C251256yes—
1111C22×C22⋊C4C2511024yescomplemented
1112C22×C22⋊C4C2511024yescomplemented
1113C22×C22⋊C4C2511024yescomplemented
1114C22×C22⋊C4C2511024yescomplemented
1115C22×C22⋊C4C2511024yescomplemented
1116C22×C42—2128no—
1117C22×C42—264no—
1118C22×C42—232no—
1119C22×C42—264no—
1120C22×C42—21536no—
1121C22×C42—4768no—
1122C22×C42—464no—
1123C22×C42—432no—
1124C22×C42C23×C4132yes—
1125C22×C42C23×C4132yes—
1126C22×C42C23×C41384yescomplemented
1127C22×C42C22×D4164yescomplemented
1128C22×C42C25196yes—
1129C22×C42C25196yes—
1130C22×C42C251192yes—
1131C22×C42C25148yes—
1132C22×C42C251192yes—
1133C22×C42C25196yes—
1134C22×C42C25124yes—
1135C22×C42C25124yes—
1136C22×C42C25164yes—
1137C22×C42C25148yes—
1138C22×C42C251512yescomplemented
1139C22×C42C251512yescomplemented
1140#390C251512yes—
1141#390C2511024yescomplemented
1142#390C2511024yescomplemented
1143#390C2511024yescomplemented
1144#390C2511024yescomplemented
1145#390C2512048yescomplemented
1146#389C2511024yescomplemented
1147#389C251512yescomplemented
1148#388C2511024yescomplemented
1149#388C2511024yescomplemented
1150#388C2512048yescomplemented
1151#388C2512048yescomplemented
1152#387C2511024yescomplemented
1153#386C2511024yes—
1154#386C2512048yescomplemented
1155#386C2512048yescomplemented
1156#386C2512048yescomplemented
1157#386C2512048yescomplemented
1158#386C2512048yescomplemented
1159#386C2512048yescomplemented
1160#385C2512048yescomplemented
1161#385C2512048yescomplemented
1162#385C2511024yescomplemented
1163#384C251256yescomplemented
1164#382C251256yescomplemented
1165#381C251512yes—
1166#380C251256yes—
1167#380C251512yes—
1168#380C251256yes—
1169#380C251512yescomplemented
1170#380C251512yescomplemented
1171#380C251512yescomplemented
1172#380C251512yescomplemented
1173#379C2511024yes—
1174#379C251512yes—
1175#379C2511024yescomplemented
1176#379C2511024yescomplemented
1177C4×C4⋊C4C251512yescomplemented
1178C4×C4⋊C4C251512yescomplemented
1179C4×C4⋊C4C251256yescomplemented
1180C4×C4⋊C4C251256yescomplemented
1181C4×C4⋊C4C251256yescomplemented
1182C4×C4⋊C4C251256yescomplemented
1183C4×C4⋊C4C251512yescomplemented
1184C4×C22⋊C4C251256yes—
1185C4×C22⋊C4C251512yes—
1186C4×C22⋊C4C251256yes—
1187C4×C22⋊C4C2511024yescomplemented
1188C4×C22⋊C4C251512yescomplemented
1189C4×C22⋊C4C251512yescomplemented
1190C4×C22⋊C4C251512yescomplemented
1191C4×C22⋊C4C251512yescomplemented
1192C4×C22⋊C4C2511024yescomplemented
1193C4×C22⋊C4C2512048yescomplemented
1194C4×C22⋊C4C2511024yescomplemented
1195#376C251256yescomplemented
1196C2×#95C25196yes—
1197C2×#95C25196yes—
1198C2×#95C251192yes—
1199C2×#95C251192yes—
1200C2×#95C25196yes—
1201C2×#95C251192yes—
1202C2×#95C25196yes—
1203C2×#95C251192yes—
1204C2×#95C251512yescomplemented
1205C2×#95C251512yescomplemented
1206C43C251256yescomplemented
1207C25—28no—
1208C25—28no—
1209C25—232no—
1210C25—28no—
1211C25—216no—
1212C25—232no—
1213C25—28no—
1214C25—296no—
1215C25—28no—
1216C25—2384no—
1217C25—232no—
1218C25—296no—
1219C25—28no—
1220C25—2384no—
1221C25—232no—
1222C25—2768no—
1223C25—264no—
1224C25—2192no—
1225C25—216no—
1226C25—216no—
1227C25—264no—
1228C25—2256no—
1229C25—21024no—
1230C25—2256no—
1231C25—21024no—
1232C25—21024no—
1233C25—2384no—
1234C25—2192no—
1235C25—21024no—
1236C25—2384no—
1237C25—2192no—
1238C25—21024no—
1239C25—2512no—
1240C25—212288no—
1241C25—4128no—
1242C25—496no—
1243C25—4384no—
1244C25—4128no—
1245C25—4128no—
1246C25—4256no—
1247C25—4256no—
1248C25—496no—
1249C25—496no—
1250C25—4512no—
1251C25—4384no—
1252C25—4256no—
1253C25—4512no—
1254C25—46144no—
1255C25—4384no—
1256C25—4192no—
1257C25—41024no—
1258C25—4256no—
1259C25—4192no—
1260C25—4512no—
1261C25—41024no—
1262C25—41024no—
1263C25—4256no—
1264C25—4256no—
1265C25—8512no—
1266C25—8256no—
1267C25—8512no—
1268C25—8256no—
1269C25—83072no—
1270C25—8512no—
1271C25—816384no—
1272C25—86144no—
1273C25—86144no—
1274C25C2×C4×D41512yescomplemented
1275C25C24×C4116yes—
1276C25C24×C4164yes—
1277C25C24×C41192yes—
1278C25C24×C41768yes—
1279C25C24×C4132yes—
1280C25C24×C418yes—
1281C25C24×C4116yes—
1282C25C24×C41384yes—
1283C25C24×C41768yes—
1284C25C24×C41192yes—
1285C25C24×C412048yescomplemented
1286C25C23×D418yes—
1287C25C23×D4132yes—
1288C25C23×D41192yes—
1289C25C22×#4118yes—
1290C25C22×#41132yes—
1291C25C22×#411192yes—
1292C25C2×H(5,𝔽2)132yes—
1293C25C26112yes—
1294C25C26148yes—
1295C25C26132yes—
1296C25C261128yes—
1297C25C2616yes—
1298C25C26124yes—
1299C25C26112yes—
1300C25C26164yes—
1301C25C261128yes—
1302C25C26132yes—
1303C25C2611yescharacteristic
1304C22×D4—2768no—
1305C22×D4—21024no—
1306C22×D4—2768no—
1307C22×D4—21024no—
1308C22×D4—2768no—
1309C22×D4—2192no—
1310C22×D4—22048no—
1311C22×D4—212288no—
1312C22×D4—2256no—
1313C22×D4—21024no—
1314C22×D4—22048no—
1315C22×D4—22048no—
1316C22×D4—22048no—
1317C22×D4—22048no—
1318C22×D4—22048no—
1319C22×D4—2512no—
1320C22×D4—224576no—
1321C22×D4—224576no—
1322C22×D4—265536no—
1323C22×D4—23072no—
1324C22×D4—212288no—
1325C22×D4—2384no—
1326C22×D4—2512no—
1327C22×D4—2384no—
1328C22×D4—2512no—
1329C22×D4—2384no—
1330C22×D4—296no—
1331C22×D4—21024no—
1332C22×D4—26144no—
1333C22×D4—2128no—
1334C22×D4—2512no—
1335C22×D4—43072no—
1336C22×D4—46144no—
1337C22×D4—41024no—
1338C22×D4—4512no—
1339C22×D4—4384no—
1340C22×D4—4256no—
1341C22×D4—4512no—
1342C22×D4—4384no—
1343C22×D4—4192no—
1344C22×D4—4512no—
1345C22×D4—432768no—
1346C22×D4—412288no—
1347C22×D4—46144no—
1348C22×D4—41024no—
1349C22×D4—42048no—
1350C22×D4—81536no—
1351C22×D4—8256no—
1352C22×D4C2×C4×D411024yescomplemented
1353C22×D4C2×C4×D416144yescomplemented
1354C22×D4#5181256yesdirect product factor
1355C22×D4C24×C41192yes—
1356C22×D4C24×C41512yes—
1357C22×D4C24×C4196yes—
1358C22×D4C24×C41768yes—
1359C22×D4C24×C411536yes—
1360C22×D4C24×C41384yes—
1361C22×D4C24×C41768yes—
1362C22×D4C24×C412048yes—
1363C22×D4C24×C41768yes—
1364C22×D4C24×C41768yes—
1365C22×D4C24×C41384yes—
1366C22×D4C24×C41384yes—
1367C22×D4C24×C41512yes—
1368C22×D4C24×C4196yes—
1369C22×D4C24×C412048yescomplemented
1370C22×D4C24×C411024yescomplemented
1371C22×D4C24×C414096yescomplemented
1372C22×D4C24×C414096yescomplemented
1373C22×D4C24×C412048yescomplemented
1374C22×D4C24×C411024yescomplemented
1375C22×D4C24×C412048yescomplemented
1376C22×D4C24×C414096yescomplemented
1377C22×D4C24×C411024yescomplemented
1378C22×D4C23×D41384yes—
1379C22×D4C23×D41512yes—
1380C22×D4C22×#411384yes—
1381C22×D4C22×#411512yes—
1382C22×D4C2×H(5,𝔽2)1192yes—
1383C22×D4C26132yes—
1384C22×D4C26116yes—
1385C22×D4C261256yes—
1386C22×D4C261128yes—
1387C22×D4C261128yes—
1388C22×D4C26164yes—
1389C22×D4C261128yes—
1390C22×D4C261128yes—
1391C22×D4C26164yes—
1392C22×D4C26164yes—
1393C22×D4C26116yes—
1394C23×C4—216no—
1395C23×C4—296no—
1396C23×C4—296no—
1397C23×C4—216no—
1398C23×C4—232no—
1399C23×C4—232no—
1400C23×C4—28no—
1401C23×C4—216no—
1402C23×C4—232no—
1403C23×C4—2256no—
1404C23×C4—2192no—
1405C23×C4—2192no—
1406C23×C4—2512no—
1407C23×C4—2192no—
1408C23×C4—2192no—
1409C23×C4—2512no—
1410C23×C4—2384no—
1411C23×C4—296no—
1412C23×C4—2512no—
1413C23×C4—2512no—
1414C23×C4—26144no—
1415C23×C4—2128no—
1416C23×C4—2512no—
1417C23×C4—264no—
1418C23×C4—232no—
1419C23×C4—232no—
1420C23×C4—264no—
1421C23×C4—2768no—
1422C23×C4—232no—
1423C23×C4—264no—
1424C23×C4—2768no—
1425C23×C4—2384no—
1426C23×C4—2768no—
1427C23×C4—21536no—
1428C23×C4—24096no—
1429C23×C4—43072no—
1430C23×C4—4512no—
1431C23×C4—4192no—
1432C23×C4—4256no—
1433C23×C4—4128no—
1434C23×C4—496no—
1435C23×C4—4192no—
1436C23×C4—4512no—
1437C23×C4—4192no—
1438C23×C4—4384no—
1439C23×C4—464no—
1440C23×C4—448no—
1441C23×C4—4192no—
1442C23×C4—4384no—
1443C23×C4—4192no—
1444C23×C4—4384no—
1445C23×C4—4768no—
1446C23×C4—42048no—
1447C23×C4—4768no—
1448C23×C4—41024no—
1449C23×C4—81024no—
1450C23×C4—81024no—
1451C23×C4—812288no—
1452C23×C4—8256no—
1453C23×C4—8512no—
1454C23×C4C2×C4×D41256yescomplemented
1455C23×C4C24×C4116yes—
1456C23×C4C24×C4132yes—
1457C23×C4C24×C4132yes—
1458C23×C4C24×C41192yes—
1459C23×C4C24×C418yes—
1460C23×C4C24×C4196yes—
1461C23×C4C24×C41384yes—
1462C23×C4C24×C41384yes—
1463C23×C4C24×C41384yes—
1464C23×C4C24×C4196yes—
1465C23×C4C24×C41192yes—
1466C23×C4C24×C41384yes—
1467C23×C4C24×C4116yes—
1468C23×C4C24×C4196yes—
1469C23×C4C24×C418yes—
1470C23×C4C24×C411024yescomplemented
1471C23×C4C24×C411024yescomplemented
1472C23×C4C23×D4164yes—
1473C23×C4C23×D4116yes—
1474C23×C4C23×D4196yes—
1475C23×C4C23×D41768yescomplemented
1476C23×C4C22×#41116yes—
1477C23×C4C22×#41196yes—
1478C23×C4C2×H(5,𝔽2)116yes—
1479C23×C4C26148yes—
1480C23×C4C26196yes—
1481C23×C4C261256yes—
1482C23×C4C26112yes—
1483C23×C4C26124yes—
1484C23×C4C26124yes—
1485C23×C4C26132yes—
1486C23×C4C2616yes—
1487C23×C4C26116yes—
1488C23×C4C26164yes—
1489C23×C4C26164yes—
1490C23×C4C26164yes—
1491C23×C4C26148yes—
1492C23×C4C261128yes—
1493C23×C4C261256yes—
1494C23×C4C261512yes—
1495C23×C4C26116yes—
1496C23×C4C26132yes—
1497C23×C4C26164yes—
1498C23×C4C261128yes—
1499C23×C4C26112yes—
1500C23×C4C26116yes—
1501C23×C4C2616yes—
1502#127C24×C412048yescomplemented
1503#127C24×C412048yescomplemented
1504#121C24×C414096yescomplemented
1505#121C24×C414096yescomplemented
1506#121C24×C414096yescomplemented
1507#121C24×C414096yescomplemented
1508#120C24×C418192yescomplemented
1509#120C24×C418192yescomplemented
1510C4×D4—24096no—
1511C4×D4—22048no—
1512C4×D4—22048no—
1513C4×D4—28192no—
1514C4×D4—24096no—
1515C4×D4—28192no—
1516C4×D4—24096no—
1517C4×D4—42048no—
1518C4×D4—44096no—
1519C4×D4—81024no—
1520C4×D4C24×C411024yes—
1521C4×D4C24×C411024yescomplemented
1522C4×D4C24×C412048yescomplemented
1523C4×D4C24×C412048yescomplemented
1524C4×D4C24×C412048yescomplemented
1525C4×D4C23×D414096yescomplemented
1526#117—21024no—
1527#117—2512no—
1528#117—22048no—
1529#117—22048no—
1530#117—22048no—
1531#117C23×D411024yescomplemented
1532C2×C4⋊C4—2768no—
1533C2×C4⋊C4—2384no—
1534C2×C4⋊C4—2192no—
1535C2×C4⋊C4—2384no—
1536C2×C4⋊C4—22048no—
1537C2×C4⋊C4—41024no—
1538C2×C4⋊C4—4384no—
1539C2×C4⋊C4—4192no—
1540C2×C4⋊C4C24×C41192yes—
1541C2×C4⋊C4C24×C41192yes—
1542C2×C4⋊C4C24×C41384yes—
1543C2×C4⋊C4C24×C41512yescomplemented
1544C2×C4⋊C4C24×C41512yescomplemented
1545C2×C4⋊C4C23×D41384yescomplemented
1546C2×C4⋊C4C261128yes—
1547C2×C4⋊C4C261128yes—
1548C2×C4⋊C4C261256yes—
1549C2×C4⋊C4C26164yes—
1550C2×C4⋊C4C261256yes—
1551C2×C4⋊C4C261128yes—
1552C2×C4⋊C4C26132yes—
1553C2×C4⋊C4C26164yes—
1554C2×C4⋊C4C26132yes—
1555C2×C4⋊C4C26164yes—
1556C2×C22⋊C4—2384no—
1557C2×C22⋊C4—2768no—
1558C2×C22⋊C4—22048no—
1559C2×C22⋊C4—2192no—
1560C2×C22⋊C4—2384no—
1561C2×C22⋊C4—21024no—
1562C2×C22⋊C4—2768no—
1563C2×C22⋊C4—2768no—
1564C2×C22⋊C4—21536no—
1565C2×C22⋊C4—24096no—
1566C2×C22⋊C4—22048no—
1567C2×C22⋊C4—24096no—
1568C2×C22⋊C4—24096no—
1569C2×C22⋊C4—24096no—
1570C2×C22⋊C4—42048no—
1571C2×C22⋊C4—4768no—
1572C2×C22⋊C4—4384no—
1573C2×C22⋊C4—4768no—
1574C2×C22⋊C4—81024no—
1575C2×C22⋊C4C24×C41384yes—
1576C2×C22⋊C4C24×C41384yes—
1577C2×C22⋊C4C24×C41768yes—
1578C2×C22⋊C4C24×C411536yes—
1579C2×C22⋊C4C24×C411024yescomplemented
1580C2×C22⋊C4C24×C411024yescomplemented
1581C2×C22⋊C4C24×C412048yescomplemented
1582C2×C22⋊C4C23×D41384yes—
1583C2×C22⋊C4C23×D412048yescomplemented
1584C2×C22⋊C4C23×D41768yescomplemented
1585C2×C22⋊C4C261128yes—
1586C2×C22⋊C4C26164yes—
1587C2×C22⋊C4C261256yes—
1588C2×C22⋊C4C261256yes—
1589C2×C22⋊C4C261512yes—
1590C2×C22⋊C4C261128yes—
1591C2×C22⋊C4C261256yes—
1592C2×C22⋊C4C261256yes—
1593C2×C22⋊C4C261512yes—
1594C2×C22⋊C4C261512yes—
1595C2×C22⋊C4C26164yes—
1596C2×C22⋊C4C261128yes—
1597C2×C22⋊C4C26164yes—
1598C2×C22⋊C4C261256yes—
1599C2×C22⋊C4C26164yes—
1600C2×C22⋊C4C261128yes—
1601C2×C42—2768no—
1602C2×C42—2384no—
1603C2×C42—2192no—
1604C2×C42—2384no—
1605C2×C42—22048no—
1606C2×C42—41024no—
1607C2×C42—4384no—
1608C2×C42—4192no—
1609C2×C42C24×C41192yes—
1610C2×C42C24×C41192yes—
1611C2×C42C24×C41512yescomplemented
1612C2×C42C23×D41384yescomplemented
1613C2×C42C261128yes—
1614C2×C42C261256yes—
1615C2×C42C26164yes—
1616C2×C42C261128yes—
1617C2×C42C261128yes—
1618C2×C42C261256yes—
1619C2×C42C26132yes—
1620C2×C42C26132yes—
1621C2×C42C26164yes—
1622#95C261128yes—
1623#95C261128yes—
1624#95C261256yes—
1625#95C261256yes—
1626#95C261128yes—
1627#95C261256yes—
1628#95C261128yes—
1629#95C261256yes—
1630C24—2128no—
1631C24—2256no—
1632C24—264no—
1633C24—2256no—
1634C24—2128no—
1635C24—264no—
1636C24—224no—
1637C24—224no—
1638C24—296no—
1639C24—224no—
1640C24—248no—
1641C24—296no—
1642C24—224no—
1643C24—264no—
1644C24—232no—
1645C24—2128no—
1646C24—232no—
1647C24—264no—
1648C24—2128no—
1649C24—264no—
1650C24—224no—
1651C24—2256no—
1652C24—296no—
1653C24—264no—
1654C24—224no—
1655C24—2256no—
1656C24—296no—
1657C24—2512no—
1658C24—2192no—
1659C24—2128no—
1660C24—248no—
1661C24—248no—
1662C24—2192no—
1663C24—2768no—
1664C24—264no—
1665C24—23072no—
1666C24—2256no—
1667C24—264no—
1668C24—2256no—
1669C24—2768no—
1670C24—23072no—
1671C24—2256no—
1672C24—264no—
1673C24—2256no—
1674C24—2128no—
1675C24—2256no—
1676C24—2128no—
1677C24—23072no—
1678C24—21536no—
1679C24—28192no—
1680C24—4384no—
1681C24—464no—
1682C24—4256no—
1683C24—42048no—
1684C24—4384no—
1685C24—4384no—
1686C24—4768no—
1687C24—4768no—
1688C24—464no—
1689C24—464no—
1690C24—41536no—
1691C24—4256no—
1692C24—4768no—
1693C24—41536no—
1694C24—44096no—
1695C24—4256no—
1696C24—4128no—
1697C24—4768no—
1698C24—4128no—
1699C24—41536no—
1700C24—43072no—
1701C24—48192no—
1702C24—43072no—
1703C24—42048no—
1704C24—4768no—
1705C24—4768no—
1706C24—4256no—
1707C24—464no—
1708C24—4256no—
1709C24—464no—
1710C24—82048no—
1711C24—84096no—
1712C24—81536no—
1713C24—8768no—
1714C24—81536no—
1715C24—8768no—
1716C24—82048no—
1717C24—84096no—
1718C24—84096no—
1719C24—849152no—
1720C24C22×C4×D4164yes—
1721C24C22×C4×D41256yes—
1722C24C22×C4×D411536yescomplemented
1723C24C2×#5181128yescomplemented
1724C24C25×C4148yes—
1725C24C25×C41192yes—
1726C24C25×C41128yes—
1727C24C25×C41512yes—
1728C24C25×C4196yes—
1729C24C25×C4124yes—
1730C24C25×C4148yes—
1731C24C25×C41256yes—
1732C24C25×C41512yes—
1733C24C25×C41128yes—
1734C24C25×C414yes—
1735C24C24×D4124yes—
1736C24C24×D4196yes—
1737C24C24×D41128yes—
1738C24C24×D414yes—
1739C24C23×#41124yes—
1740C24C23×#41196yes—
1741C24C23×#411128yes—
1742C24C23×#4114yes—
1743C24C22×H(5,𝔽2)196yes—
1744C24C22×H(5,𝔽2)18yes—
1745C24H(7,𝔽2)18yes—
1746C24C2718yes—
1747C24C27132yes—
1748C24C2714yes—
1749C24C27116yes—
1750C24C2718yes—
1751C24C2713yes—
1752C2×D4—2512no—
1753C2×D4—2512no—
1754C2×D4—2512no—
1755C2×D4—2128no—
1756C2×D4—26144no—
1757C2×D4—28192no—
1758C2×D4—2768no—
1759C2×D4—23072no—
1760C2×D4—216384no—
1761C2×D4—216384no—
1762C2×D4—22048no—
1763C2×D4—28192no—
1764C2×D4—2256no—
1765C2×D4—2256no—
1766C2×D4—2256no—
1767C2×D4—264no—
1768C2×D4—23072no—
1769C2×D4—24096no—
1770C2×D4—2384no—
1771C2×D4—21536no—
1772C2×D4—42048no—
1773C2×D4—44096no—
1774C2×D4—4256no—
1775C2×D4—4768no—
1776C2×D4—41536no—
1777C2×D4—4256no—
1778C2×D4—4128no—
1779C2×D4—41536no—
1780C2×D4—48192no—
1781C2×D4—44096no—
1782C2×D4—81024no—
1783C2×D4C22×C4×D413072yescomplemented
1784C2×D4C22×C4×D414096yescomplemented
1785C2×D4C2×#5181768yesdirect product factor
1786C2×D4C25×C41128yes—
1787C2×D4C25×C4164yes—
1788C2×D4C25×C41512yes—
1789C2×D4C25×C411024yes—
1790C2×D4C25×C41256yes—
1791C2×D4C25×C41512yes—
1792C2×D4C25×C41512yes—
1793C2×D4C25×C41512yes—
1794C2×D4C25×C41256yes—
1795C2×D4C25×C41256yes—
1796C2×D4C25×C4164yes—
1797C2×D4C24×D41256yes—
1798C2×D4C23×#411256yes—
1799C2×D4C22×H(5,𝔽2)1128yes—
1800C22×C4—2256no—
1801C22×C4—248no—
1802C22×C4—264no—
1803C22×C4—264no—
1804C22×C4—248no—
1805C22×C4—296no—
1806C22×C4—296no—
1807C22×C4—224no—
1808C22×C4—248no—
1809C22×C4—296no—
1810C22×C4—2768no—
1811C22×C4—2128no—
1812C22×C4—232no—
1813C22×C4—2128no—
1814C22×C4—264no—
1815C22×C4—2128no—
1816C22×C4—2128no—
1817C22×C4—2128no—
1818C22×C4—2128no—
1819C22×C4—2256no—
1820C22×C4—264no—
1821C22×C4—21536no—
1822C22×C4—21536no—
1823C22×C4—24096no—
1824C22×C4—2384no—
1825C22×C4—21536no—
1826C22×C4—2192no—
1827C22×C4—296no—
1828C22×C4—296no—
1829C22×C4—2192no—
1830C22×C4—2512no—
1831C22×C4—296no—
1832C22×C4—2192no—
1833C22×C4—2512no—
1834C22×C4—2256no—
1835C22×C4—2512no—
1836C22×C4—21024no—
1837C22×C4—42048no—
1838C22×C4—4128no—
1839C22×C4—4768no—
1840C22×C4—4384no—
1841C22×C4—464no—
1842C22×C4—4128no—
1843C22×C4—41536no—
1844C22×C4—4128no—
1845C22×C4—4256no—
1846C22×C4—4192no—
1847C22×C4—432no—
1848C22×C4—4128no—
1849C22×C4—4256no—
1850C22×C4—4128no—
1851C22×C4—4256no—
1852C22×C4—4512no—
1853C22×C4—4512no—
1854C22×C4—43072no—
1855C22×C4—4256no—
1856C22×C4—4128no—
1857C22×C4—83072no—
1858C22×C4—88192no—
1859C22×C4—8768no—
1860C22×C4—81536no—
1861C22×C4C22×C4×D41128yes—
1862C22×C4C22×C4×D41768yescomplemented
1863C22×C4C2×#518164yescomplemented
1864C22×C4C25×C4148yes—
1865C22×C4C25×C4124yes—
1866C22×C4C25×C4164yes—
1867C22×C4C25×C4196yes—
1868C22×C4C25×C4196yes—
1869C22×C4C25×C41128yes—
1870C22×C4C25×C41256yes—
1871C22×C4C25×C41256yes—
1872C22×C4C25×C41256yes—
1873C22×C4C25×C4164yes—
1874C22×C4C25×C41128yes—
1875C22×C4C25×C41256yes—
1876C22×C4C25×C4148yes—
1877C22×C4C25×C4164yes—
1878C22×C4C25×C4124yes—
1879C22×C4C24×D41192yes—
1880C22×C4C24×D4148yes—
1881C22×C4C24×D4164yes—
1882C22×C4C24×D41512yescomplemented
1883C22×C4C23×#41148yes—
1884C22×C4C23×#41164yes—
1885C22×C4C22×H(5,𝔽2)148yes—
1886C22×C4C27132yes—
1887C22×C4C27164yes—
1888C22×C4C2714yes—
1889C22×C4C2718yes—
1890C22×C4C27116yes—
1891C22×C4C27116yes—
1892C22×C4C27132yes—
1893C22×C4C2718yes—
1894C22×C4C2714yes—
1895C4⋊C4—2512no—
1896C4⋊C4—2256no—
1897C4⋊C4—2128no—
1898C4⋊C4—2256no—
1899C4⋊C4—4256no—
1900C4⋊C4—4128no—
1901C4⋊C4C25×C41128yes—
1902C4⋊C4C25×C41128yes—
1903C4⋊C4C25×C41256yes—
1904C4⋊C4C24×D41256yescomplemented
1905C22⋊C4—2256no—
1906C22⋊C4—2512no—
1907C22⋊C4—2128no—
1908C22⋊C4—2256no—
1909C22⋊C4—2512no—
1910C22⋊C4—2512no—
1911C22⋊C4—21024no—
1912C22⋊C4—4512no—
1913C22⋊C4—4256no—
1914C22⋊C4—4512no—
1915C22⋊C4C25×C41256yes—
1916C22⋊C4C25×C41256yes—
1917C22⋊C4C25×C41512yes—
1918C22⋊C4C25×C411024yes—
1919C22⋊C4C24×D41256yes—
1920C22⋊C4C24×D41512yescomplemented
1921C42—2512no—
1922C42—2256no—
1923C42—2128no—
1924C42—2256no—
1925C42—4256no—
1926C42—4128no—
1927C42C25×C41128yes—
1928C42C25×C41128yes—
1929C42C24×D41256yescomplemented
1930C23—296no—
1931C23—248no—
1932C23—2192no—
1933C23—248no—
1934C23—296no—
1935C23—2192no—
1936C23—28no—
1937C23—28no—
1938C23—232no—
1939C23—28no—
1940C23—216no—
1941C23—232no—
1942C23—28no—
1943C23—2512no—
1944C23—2256no—
1945C23—21024no—
1946C23—2192no—
1947C23—2384no—
1948C23—296no—
1949C23—2384no—
1950C23—2192no—
1951C23—296no—
1952C23—2256no—
1953C23—296no—
1954C23—21024no—
1955C23—2384no—
1956C23—296no—
1957C23—2384no—
1958C23—2256no—
1959C23—21024no—
1960C23—2384no—
1961C23—296no—
1962C23—28no—
1963C23—232no—
1964C23—28no—
1965C23—232no—
1966C23—264no—
1967C23—216no—
1968C23—216no—
1969C23—264no—
1970C23—21024no—
1971C23—2512no—
1972C23—4128no—
1973C23—4128no—
1974C23—4128no—
1975C23—4256no—
1976C23—4256no—
1977C23—43072no—
1978C23—4512no—
1979C23—4256no—
1980C23—4512no—
1981C23—4256no—
1982C23—4512no—
1983C23—41024no—
1984C23—412288no—
1985C23—41024no—
1986C23—4256no—
1987C23—43072no—
1988C23—4256no—
1989C23—41024no—
1990C23—4256no—
1991C23—4384no—
1992C23—496no—
1993C23—4384no—
1994C23—496no—
1995C23—8512no—
1996C23—8256no—
1997C23—83072no—
1998C23—86144no—
1999C23—8512no—
2000C23—8256no—
2001C23—816384no—
2002C23C23×C4×D4196yes—
2003C23C23×C4×D41384yes—
2004C23C23×C4×D4116yes—
2005C23C23×C4×D41512yescomplemented
2006C23C22×#518116yes—
2007C23C22×#5181192yescomplemented
2008C23#62652116yes—
2009C23D4×H(5,𝔽2)132yes—
2010C23#62983132yes—
2011C23C26×C4116yes—
2012C23C26×C4164yes—
2013C23C26×C4132yes—
2014C23C26×C418yes—
2015C23C26×C4116yes—
2016C23C26×C416yes—
2017C23C25×D418yes—
2018C23C25×D4132yes—
2019C23C25×D416yes—
2020C23C24×#4118yes—
2021C23C24×#41132yes—
2022C23C24×#4116yes—
2023C23C23×H(5,𝔽2)132yes—
2024C23C23×H(5,𝔽2)112yes—
2025C23C2×H(7,𝔽2)112yes—
2026C23C2811yescharacteristic
2027D4—22048no—
2028D4—2256no—
2029D4—21024no—
2030D4—21024no—
2031D4—2128no—
2032D4—2512no—
2033D4—4256no—
2034D4—4512no—
2035D4—4512no—
2036D4C23×C4×D411024yescomplemented
2037D4C22×#5181256yesdirect product factor
2038C2×C4—2256no—
2039C2×C4—2192no—
2040C2×C4—248no—
2041C2×C4—2192no—
2042C2×C4—296no—
2043C2×C4—216no—
2044C2×C4—216no—
2045C2×C4—232no—
2046C2×C4—232no—
2047C2×C4—28no—
2048C2×C4—216no—
2049C2×C4—232no—
2050C2×C4—2384no—
2051C2×C4—2512no—
2052C2×C4—2512no—
2053C2×C4—2128no—
2054C2×C4—2512no—
2055C2×C4—264no—
2056C2×C4—232no—
2057C2×C4—232no—
2058C2×C4—264no—
2059C2×C4—232no—
2060C2×C4—264no—
2061C2×C4—4256no—
2062C2×C4—4128no—
2063C2×C4—4512no—
2064C2×C4—464no—
2065C2×C4—41024no—
2066C2×C4—4384no—
2067C2×C4—4192no—
2068C2×C4—81024no—
2069C2×C4—8256no—
2070C2×C4—8512no—
2071C2×C4C23×C4×D41192yes—
2072C2×C4C23×C4×D41256yescomplemented
2073C2×C4C22×#518196yescomplemented
2074C2×C4C26×C4116yes—
2075C2×C4C26×C418yes—
2076C2×C4C26×C4132yes—
2077C2×C4C26×C4132yes—
2078C2×C4C26×C4116yes—
2079C2×C4C26×C418yes—
2080C2×C4C25×D4164yes—
2081C2×C4C25×D4116yes—
2082C2×C4C24×#41116yes—
2083C2×C4C23×H(5,𝔽2)116yes—
2084C22—232no—
2085C22—264no—
2086C22—216no—
2087C22—2384no—
2088C22—2192no—
2089C22—2768no—
2090C22—28no—
2091C22—232no—
2092C22—216no—
2093C22—264no—
2094C22—232no—
2095C22—216no—
2096C22—28no—
2097C22—216no—
2098C22—232no—
2099C22—216no—
2100C22—264no—
2101C22—216no—
2102C22—264no—
2103C22—264no—
2104C22—216no—
2105C22—4512no—
2106C22—42048no—
2107C22—4512no—
2108C22—464no—
2109C22—416no—
2110C22—4768no—
2111C22—4192no—
2112C22—464no—
2113C22—416no—
2114C22—8512no—
2115C22—81024no—
2116C22D4×#518164yesdirect product factor
2117C22C24×C4×D4116yes—
2118C22C24×C4×D4164yes—
2119C22C24×C4×D4112yes—
2120C22C23×#518112yes—
2121C22C23×#518132yescomplemented
2122C22C2×#62652112yes—
2123C22C2×D4×H(5,𝔽2)124yes—
2124C22C2×#62983124yes—
2125C22C27×C411yescharacteristic
2126C22C26×D411yescharacteristic
2127C22C25×#4111yescharacteristic
2128C22C24×H(5,𝔽2)12yes—
2129C22C22×H(7,𝔽2)12yes—
2130C4—264no—
2131C4—28no—
2132C4—232no—
2133C4—232no—
2134C4—216no—
2135C4—464no—
2136C4—432no—
2137C4C24×C4×D4132yes—
2138C4C23×#518116yescomplemented
2139C2—232no—
2140C2—216no—
2141C2—264no—
2142C2—464no—
2143C2—416no—
2144C2C22×D4×H(5,𝔽2)12yes—
2145C2C2×D4×#518124yesdirect product factor
2146C2C25×C4×D411yescharacteristic
2147C2C24×#51811yescharacteristic
2148C2C22×#6298312yes—
2149C2C22×#6265211yescharacteristic
subgroupG/H
center, socleC25C26
commutatorC22C27×C4
Frattini, cosocleC23C28
prime radicalC24×D42C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×#34204C2semidirect
2. C22×C4×#518C2semidirect
3. C22×#34181C2semidirect
4. C22×#34205C2semidirect
5. C22×#34210C2semidirect
6. C22×#34310C2semidirect
7. C24×#518C2semidirect
8. C22×D4×#117C2semidirect
9. C23×D4×C22⋊C4C2semidirect
10. C22×#34198C2semidirect
11. C22×C4×D42C2semidirect
12. C22×#34171C2semidirect
13. C2×D4×#518C2direct (N × H)
14. C22×#34290C2semidirect
18. C23×D42C4semidirect
31. C23×#518C22semidirect
32. C23×#518C22semidirect
33. C23×#518C22semidirect
34. C23×#518C22semidirect
37. C24×C4×D4C22semidirect
38. C24×C4×D4C22semidirect
39. C24×#117C22semidirect
40. C25×C22⋊C4C22semidirect
41. D4×#518C22direct (N × H)
42. C2×#34310C22semidirect
43. C2×#34290C22semidirect
44. C2×#34210C22semidirect
45. C2×#34204C22semidirect
46. C2×#34205C22semidirect
47. C2×#34198C22semidirect
48. C2×#34181C22semidirect
49. C2×#34171C22semidirect
50. C2×C4×D42C22semidirect
51. C22×#2366C22semidirect
52. C22×#2366C22semidirect
53. C22×#2364C22semidirect
54. C22×#2363C22semidirect
55. C22×#2361C22semidirect
56. C22×#2361C22semidirect
57. C22×#2358C22semidirect
58. C22×#2358C22semidirect
59. C22×#2349C22semidirect
60. C2×D4×#117C22semidirect
61. C22×#2354C22semidirect
62. C22×#2344C22semidirect
63. C22×#2352C22semidirect
64. C22×#2342C22semidirect
65. C22×#2342C22semidirect
66. C22×D4×C4⋊C4C22semidirect
67. C22×D4×C4⋊C4C22semidirect
69. C22×D4×C22⋊C4C22semidirect
70. C22×D4×C22⋊C4C22semidirect
71. C22×D4×C22⋊C4C22semidirect
72. C22×D4×C22⋊C4C22semidirect
73. C22×D4×C22⋊C4C22semidirect
74. C22×D4×C22⋊C4C22semidirect
75. C22×D4×C22⋊C4C22semidirect
76. C22×D4×C22⋊C4C22semidirect
77. C22×D4×C22⋊C4C22semidirect
78. C22×#2328C22semidirect
79. C22×#2324C22semidirect
80. C22×#2325C22semidirect
81. C22×#2321C22semidirect
82. C22×#2316C22semidirect
83. C22×#2309C22semidirect
84. C22×#2315C22semidirect
85. C22×#2308C22semidirect
86. C22×C4×#127C22semidirect
87. C22×C4×#121C22semidirect
88. C22×C4×#121C22semidirect
89. C22×C4×#120C22semidirect
90. C22×#2293C22semidirect
91. C23×#390C22semidirect
92. C22×#2290C22semidirect
93. C23×#386C22semidirect
94. C22×#2285C22semidirect
95. C22×#2280C22semidirect
96. C23×#380C22semidirect
97. C23×#379C22semidirect
98. C2×C4×#518C22semidirect
99. C22×#2275C22semidirect
100. C22×#2274C22semidirect
101. C22×#2273C22semidirect
102. C22×C42×D4C22semidirect
103. C22×C42×D4C22semidirect
104. C22×C4×#117C22semidirect
105. C23×C4×C22⋊C4C22semidirect
110. C25×D4C2×C4semidirect
111. C25×D4C2×C4semidirect
128. C26×C4C23semidirect
129. C22×D42C2×C4semidirect
130. C22×D42C2×C4semidirect
131. C22×D42C2×C4semidirect
132. C22×D42C2×C4semidirect
137. C23×#127C2×C4semidirect
141. C23×#121C2×C4semidirect
142. C23×#121C2×C4semidirect
149. C23×#120C2×C4semidirect
159. C22×#518D4direct (N × H)
163. C22×#518C23semidirect
164. C22×#518C23semidirect
165. C22×#518C23semidirect
166. C22×#518C23semidirect
169. C23×C4×D4C2×C4semidirect
170. C23×C4×D4C2×C4semidirect
182. C23×C4×D4C23semidirect
183. C23×C4×D4C23semidirect
184. C23×C4×D4C23semidirect
185. C23×C4×D4C23semidirect
186. C23×C4×D4C23semidirect
187. C23×C4×D4C23semidirect
188. C23×C4×D4C23semidirect
189. C23×C4×D4C23semidirect
190. C23×C4×D4C23semidirect
196. C23×#117C23semidirect
197. C23×#117C23semidirect
198. C23×#117C23semidirect
201. C24×C4⋊C4C23semidirect
202. C24×C4⋊C4C23semidirect
212. C24×C22⋊C4C23semidirect
213. C24×C22⋊C4C23semidirect
214. C24×C22⋊C4C23semidirect
215. C24×C22⋊C4C23semidirect
216. C24×C22⋊C4C23semidirect
217. C24×C22⋊C4C23semidirect
219. C24×C42C23semidirect
220. C24×C42C23semidirect
221. #34310C23semidirect
222. #34290C23semidirect
223. #34210C23semidirect
224. #34205C23semidirect
225. #34204C23semidirect
226. #34198C23semidirect
227. #34181C23semidirect
228. #34171C23semidirect
229. C4×D42C23semidirect
230. C2×#2366C23semidirect
231. C2×#2366C23semidirect
232. C2×#2364C23semidirect
233. C2×#2363C23semidirect
234. C2×#2361C23semidirect
235. C2×#2361C23semidirect
236. C2×#2358C23semidirect
237. C2×#2358C23semidirect
238. D4×#117C23semidirect
239. C2×#2354C23semidirect
240. C2×#2352C23semidirect
241. C2×#2349C23semidirect
242. C2×D4×C4⋊C4C23semidirect
243. C2×D4×C4⋊C4C23semidirect
244. C2×#2344C23semidirect
245. C2×#2342C23semidirect
246. C2×#2342C23semidirect
248. C2×D4×C22⋊C4C23semidirect
249. C2×D4×C22⋊C4C23semidirect
250. C2×D4×C22⋊C4C23semidirect
251. C2×D4×C22⋊C4C23semidirect
252. C2×D4×C22⋊C4C23semidirect
253. C2×D4×C22⋊C4C23semidirect
254. C2×D4×C22⋊C4C23semidirect
255. C2×D4×C22⋊C4C23semidirect
256. C2×D4×C22⋊C4C23semidirect
257. C2×#2328C23semidirect
258. C2×#2325C23semidirect
259. C2×#2324C23semidirect
260. C2×#2321C23semidirect
261. C2×#2316C23semidirect
262. C2×#2315C23semidirect
263. C2×#2309C23semidirect
264. C2×#2308C23semidirect
265. C2×C4×#127C23semidirect
266. C2×C4×#121C23semidirect
267. C2×C4×#121C23semidirect
268. C2×C4×#120C23semidirect
269. C2×#2293C23semidirect
271. C22×#390C23semidirect
272. C22×#390C23semidirect
273. C22×#390C23semidirect
274. C22×#390C23semidirect
275. C22×#390C23semidirect
276. C22×#390C23semidirect
277. C22×#389C23semidirect
278. C22×#389C23semidirect
279. C2×#2290C23semidirect
280. C22×#388C23semidirect
281. C22×#388C23semidirect
282. C22×#388C23semidirect
283. C22×#388C23semidirect
284. C22×#387C23semidirect
286. C22×#386C23semidirect
287. C22×#386C23semidirect
288. C22×#386C23semidirect
289. C22×#386C23semidirect
290. C22×#386C23semidirect
291. C22×#386C23semidirect
292. C22×#386C23semidirect
293. C22×#385C23semidirect
294. C22×#385C23semidirect
295. C22×#385C23semidirect
296. C2×#2285C23semidirect
297. C22×#384C23semidirect
298. C22×#382C23semidirect
299. C2×#2280C23semidirect
304. C22×#380C23semidirect
305. C22×#380C23semidirect
306. C22×#380C23semidirect
307. C22×#380C23semidirect
308. C22×#380C23semidirect
311. C22×#379C23semidirect
312. C22×#379C23semidirect
313. C22×#379C23semidirect
314. C4×#518C23semidirect
315. C2×#2275C23semidirect
316. C2×#2274C23semidirect
317. C2×#2273C23semidirect
318. C2×C42×D4C23semidirect
319. C2×C42×D4C23semidirect
320. C2×C4×#117C23semidirect
321. C22×C4×C4⋊C4C23semidirect
322. C22×C4×C4⋊C4C23semidirect
323. C22×C4×C4⋊C4C23semidirect
324. C22×C4×C4⋊C4C23semidirect
325. C22×C4×C4⋊C4C23semidirect
326. C22×C4×C4⋊C4C23semidirect
327. C22×C4×C4⋊C4C23semidirect
331. C22×C4×C22⋊C4C23semidirect
332. C22×C4×C22⋊C4C23semidirect
333. C22×C4×C22⋊C4C23semidirect
334. C22×C4×C22⋊C4C23semidirect
335. C22×C4×C22⋊C4C23semidirect
336. C22×C4×C22⋊C4C23semidirect
337. C22×C4×C22⋊C4C23semidirect
338. C22×C4×C22⋊C4C23semidirect
339. C22×C4×C22⋊C4C23semidirect
340. C22×#376C23semidirect
341. C23×#95C23semidirect
342. C23×#95C23semidirect
343. C22×C43C23semidirect
348. C27C22×C4semidirect
378. C24×D4C22×C4semidirect
379. C24×D4C22×C4semidirect
380. C24×D4C22×C4semidirect
381. C24×D4C22×C4semidirect
382. C24×D4C22×C4semidirect
383. C24×D4C22×C4semidirect
384. C24×D4C22×C4semidirect
385. C24×D4C22×C4semidirect
386. C24×D4C22×C4semidirect
387. C24×D4C22×C4semidirect
388. C24×D4C22×C4semidirect
422. C25×C4C22×C4semidirect
423. C25×C4C22×C4semidirect
440. C25×C4C24semidirect
441. C2×D42C22×C4semidirect
442. C2×D42C22×C4semidirect
443. C2×D42C22×C4semidirect
444. C2×D42C22×C4semidirect
448. C22×#127C22×C4semidirect
449. C22×#127C22×C4semidirect
450. C22×#127C22×C4semidirect
454. C22×#121C22×C4semidirect
455. C22×#121C22×C4semidirect
456. C22×#121C22×C4semidirect
457. C22×#121C22×C4semidirect
458. C22×#121C22×C4semidirect
459. C22×#121C22×C4semidirect
466. C22×#120C22×C4semidirect
467. C22×#120C22×C4semidirect
468. C22×#120C22×C4semidirect
478. C2×#518C2×D4direct (N × H)
482. C2×#518C24semidirect
483. C2×#518C24semidirect
484. C2×#518C24semidirect
498. C22×C4×D4C22×C4semidirect
499. C22×C4×D4C22×C4semidirect
500. C22×C4×D4C22×C4semidirect
501. C22×C4×D4C22×C4semidirect
502. C22×C4×D4C22×C4semidirect
503. C22×C4×D4C22×C4semidirect
504. C22×C4×D4C2×D4semidirect
516. C22×C4×D4C24semidirect
517. C22×C4×D4C24semidirect
518. C22×C4×D4C24semidirect
519. C22×C4×D4C24semidirect
520. C22×C4×D4C24semidirect
521. C22×C4×D4C24semidirect
522. C22×C4×D4C24semidirect
523. C22×C4×D4C24semidirect
524. C22×C4×D4C24semidirect
531. C22×#117C2×D4semidirect
536. C22×#117C24semidirect
537. C22×#117C24semidirect
538. C22×#117C24semidirect
541. C23×C4⋊C4C22×C4semidirect
542. C23×C4⋊C4C22×C4semidirect
555. C23×C4⋊C4C24semidirect
556. C23×C4⋊C4C24semidirect
567. C23×C22⋊C4C22×C4semidirect
568. C23×C22⋊C4C22×C4semidirect
569. C23×C22⋊C4C22×C4semidirect
570. C23×C22⋊C4C2×D4semidirect
595. C23×C22⋊C4C24semidirect
596. C23×C22⋊C4C24semidirect
597. C23×C22⋊C4C24semidirect
598. C23×C22⋊C4C24semidirect
599. C23×C22⋊C4C24semidirect
600. C23×C22⋊C4C24semidirect
603. C23×C42C22×C4semidirect
614. C23×C42C24semidirect
615. C23×C42C24semidirect
616. #2366C24semidirect
617. #2366C24semidirect
618. #2364C24semidirect
619. #2363C24semidirect
620. #2361C24semidirect
621. #2361C24semidirect
622. #2358C24semidirect
623. #2358C24semidirect
624. #2354C24semidirect
625. #2352C24semidirect
626. #2349C24semidirect
627. D4×C4⋊C4C24semidirect
628. D4×C4⋊C4C24semidirect
629. #2344C24semidirect
630. #2342C24semidirect
631. #2342C24semidirect
633. D4×C22⋊C4C24semidirect
634. D4×C22⋊C4C24semidirect
635. D4×C22⋊C4C24semidirect
636. D4×C22⋊C4C24semidirect
637. D4×C22⋊C4C24semidirect
638. D4×C22⋊C4C24semidirect
639. D4×C22⋊C4C24semidirect
640. D4×C22⋊C4C24semidirect
641. #2328C24semidirect
642. #2325C24semidirect
643. #2324C24semidirect
644. #2321C24semidirect
645. #2316C24semidirect
646. #2315C24semidirect
647. #2309C24semidirect
648. #2308C24semidirect
649. C4×#127C24semidirect
650. C4×#121C24semidirect
651. C4×#121C24semidirect
652. C4×#120C24semidirect
653. #2293C24semidirect
655. C2×#390C24semidirect
656. C2×#390C24semidirect
657. C2×#390C24semidirect
658. C2×#390C24semidirect
659. C2×#390C24semidirect
660. C2×#390C24semidirect
661. C2×#389C24semidirect
662. C2×#389C24semidirect
663. #2290C24semidirect
664. C2×#388C24semidirect
665. C2×#388C24semidirect
666. C2×#388C24semidirect
667. C2×#388C24semidirect
668. C2×#387C24semidirect
670. C2×#386C24semidirect
671. C2×#386C24semidirect
672. C2×#386C24semidirect
673. C2×#386C24semidirect
674. C2×#386C24semidirect
675. C2×#386C24semidirect
676. C2×#386C24semidirect
677. C2×#385C24semidirect
678. C2×#385C24semidirect
679. C2×#385C24semidirect
680. #2285C24semidirect
681. C2×#384C24semidirect
682. C2×#382C24semidirect
683. #2280C24semidirect
688. C2×#380C24semidirect
689. C2×#380C24semidirect
690. C2×#380C24semidirect
691. C2×#380C24semidirect
692. C2×#380C24semidirect
695. C2×#379C24semidirect
696. C2×#379C24semidirect
697. C2×#379C24semidirect
698. #2275C24semidirect
699. #2274C24semidirect
700. #2273C24semidirect
701. C42×D4C24semidirect
702. C42×D4C24semidirect
703. C4×#117C24semidirect
704. C2×C4×C4⋊C4C24semidirect
705. C2×C4×C4⋊C4C24semidirect
706. C2×C4×C4⋊C4C24semidirect
707. C2×C4×C4⋊C4C24semidirect
708. C2×C4×C4⋊C4C24semidirect
709. C2×C4×C4⋊C4C24semidirect
710. C2×C4×C4⋊C4C24semidirect
714. C2×C4×C22⋊C4C24semidirect
715. C2×C4×C22⋊C4C24semidirect
716. C2×C4×C22⋊C4C24semidirect
717. C2×C4×C22⋊C4C24semidirect
718. C2×C4×C22⋊C4C24semidirect
719. C2×C4×C22⋊C4C24semidirect
720. C2×C4×C22⋊C4C24semidirect
721. C2×C4×C22⋊C4C24semidirect
722. C2×C4×C22⋊C4C24semidirect
723. C2×#376C24semidirect
732. C22×#95C24semidirect
733. C22×#95C24semidirect
734. C2×C43C24semidirect
767. C26C23×C4semidirect
823. C23×D4C4×D4semidirect
838. C23×D4C23×C4semidirect
839. C23×D4C23×C4semidirect
840. C23×D4C23×C4semidirect
841. C23×D4C23×C4semidirect
842. C23×D4C23×C4semidirect
843. C23×D4C23×C4semidirect
844. C23×D4C23×C4semidirect
845. C23×D4C23×C4semidirect
846. C23×D4C23×C4semidirect
847. C23×D4C23×C4semidirect
848. C23×D4C23×C4semidirect
920. C24×C4C23×C4semidirect
921. C24×C4C23×C4semidirect
923. C24×C4C22×D4semidirect
950. C24×C4C25semidirect
951. D42C23×C4semidirect
952. D42C23×C4semidirect
953. D42C23×C4semidirect
954. C2×#127C23×C4semidirect
955. C2×#127C23×C4semidirect
956. C2×#127C23×C4semidirect
959. C2×#121C23×C4semidirect
960. C2×#121C23×C4semidirect
961. C2×#121C23×C4semidirect
962. C2×#121C23×C4semidirect
963. C2×#121C23×C4semidirect
964. C2×#121C23×C4semidirect
969. C2×#120C23×C4semidirect
970. C2×#120C23×C4semidirect
971. C2×#120C23×C4semidirect
979. #518C22×D4direct (N × H)
993. C2×C4×D4C23×C4semidirect
994. C2×C4×D4C23×C4semidirect
995. C2×C4×D4C23×C4semidirect
996. C2×C4×D4C23×C4semidirect
997. C2×C4×D4C23×C4semidirect
998. C2×C4×D4C23×C4semidirect
999. C2×C4×D4C22×D4semidirect
1009. C2×C4×D4C25semidirect
1010. C2×C4×D4C25semidirect
1011. C2×C4×D4C25semidirect
1012. C2×C4×D4C25semidirect
1013. C2×C4×D4C25semidirect
1014. C2×C4×D4C25semidirect
1015. C2×C4×D4C25semidirect
1022. C2×#117C22×D4semidirect
1027. C2×#117C25semidirect
1028. C2×#117C25semidirect
1040. C22×C4⋊C4C23×C4semidirect
1041. C22×C4⋊C4C23×C4semidirect
1042. C22×C4⋊C4C22×D4semidirect
1055. C22×C4⋊C4C25semidirect
1056. C22×C4⋊C4C25semidirect
1081. C22×C22⋊C4C23×C4semidirect
1082. C22×C22⋊C4C23×C4semidirect
1083. C22×C22⋊C4C23×C4semidirect
1085. C22×C22⋊C4C22×D4semidirect
1086. C22×C22⋊C4C22×D4semidirect
1111. C22×C22⋊C4C25semidirect
1112. C22×C22⋊C4C25semidirect
1113. C22×C22⋊C4C25semidirect
1114. C22×C22⋊C4C25semidirect
1115. C22×C22⋊C4C25semidirect
1126. C22×C42C23×C4semidirect
1127. C22×C42C22×D4semidirect
1138. C22×C42C25semidirect
1139. C22×C42C25semidirect
1141. #390C25semidirect
1142. #390C25semidirect
1143. #390C25semidirect
1144. #390C25semidirect
1145. #390C25semidirect
1146. #389C25semidirect
1147. #389C25semidirect
1148. #388C25semidirect
1149. #388C25semidirect
1150. #388C25semidirect
1151. #388C25semidirect
1152. #387C25semidirect
1154. #386C25semidirect
1155. #386C25semidirect
1156. #386C25semidirect
1157. #386C25semidirect
1158. #386C25semidirect
1159. #386C25semidirect
1160. #385C25semidirect
1161. #385C25semidirect
1162. #385C25semidirect
1163. #384C25semidirect
1164. #382C25semidirect
1169. #380C25semidirect
1170. #380C25semidirect
1171. #380C25semidirect
1172. #380C25semidirect
1175. #379C25semidirect
1176. #379C25semidirect
1177. C4×C4⋊C4C25semidirect
1178. C4×C4⋊C4C25semidirect
1179. C4×C4⋊C4C25semidirect
1180. C4×C4⋊C4C25semidirect
1181. C4×C4⋊C4C25semidirect
1182. C4×C4⋊C4C25semidirect
1183. C4×C4⋊C4C25semidirect
1187. C4×C22⋊C4C25semidirect
1188. C4×C22⋊C4C25semidirect
1189. C4×C22⋊C4C25semidirect
1190. C4×C22⋊C4C25semidirect
1191. C4×C22⋊C4C25semidirect
1192. C4×C22⋊C4C25semidirect
1193. C4×C22⋊C4C25semidirect
1194. C4×C22⋊C4C25semidirect
1195. #376C25semidirect
1204. C2×#95C25semidirect
1205. C2×#95C25semidirect
1206. C43C25semidirect
1274. C25C2×C4×D4semidirect
1285. C25C24×C4semidirect
1352. C22×D4C2×C4×D4semidirect
1353. C22×D4C2×C4×D4semidirect
1354. C22×D4#518direct (N × H)
1369. C22×D4C24×C4semidirect
1370. C22×D4C24×C4semidirect
1371. C22×D4C24×C4semidirect
1372. C22×D4C24×C4semidirect
1373. C22×D4C24×C4semidirect
1374. C22×D4C24×C4semidirect
1375. C22×D4C24×C4semidirect
1376. C22×D4C24×C4semidirect
1377. C22×D4C24×C4semidirect
1454. C23×C4C2×C4×D4semidirect
1470. C23×C4C24×C4semidirect
1471. C23×C4C24×C4semidirect
1475. C23×C4C23×D4semidirect
1502. #127C24×C4semidirect
1503. #127C24×C4semidirect
1504. #121C24×C4semidirect
1505. #121C24×C4semidirect
1506. #121C24×C4semidirect
1507. #121C24×C4semidirect
1508. #120C24×C4semidirect
1509. #120C24×C4semidirect
1521. C4×D4C24×C4semidirect
1522. C4×D4C24×C4semidirect
1523. C4×D4C24×C4semidirect
1524. C4×D4C24×C4semidirect
1525. C4×D4C23×D4semidirect
1531. #117C23×D4semidirect
1543. C2×C4⋊C4C24×C4semidirect
1544. C2×C4⋊C4C24×C4semidirect
1545. C2×C4⋊C4C23×D4semidirect
1579. C2×C22⋊C4C24×C4semidirect
1580. C2×C22⋊C4C24×C4semidirect
1581. C2×C22⋊C4C24×C4semidirect
1583. C2×C22⋊C4C23×D4semidirect
1584. C2×C22⋊C4C23×D4semidirect
1611. C2×C42C24×C4semidirect
1612. C2×C42C23×D4semidirect
1722. C24C22×C4×D4semidirect
1723. C24C2×#518semidirect
1783. C2×D4C22×C4×D4semidirect
1784. C2×D4C22×C4×D4semidirect
1785. C2×D4C2×#518direct (N × H)
1862. C22×C4C22×C4×D4semidirect
1863. C22×C4C2×#518semidirect
1882. C22×C4C24×D4semidirect
1904. C4⋊C4C24×D4semidirect
1920. C22⋊C4C24×D4semidirect
1929. C42C24×D4semidirect
2005. C23C23×C4×D4semidirect
2007. C23C22×#518semidirect
2036. D4C23×C4×D4semidirect
2037. D4C22×#518direct (N × H)
2072. C2×C4C23×C4×D4semidirect
2073. C2×C4C22×#518semidirect
2116. C22D4×#518direct (N × H)
2121. C22C23×#518semidirect
2138. C4C23×#518semidirect
2145. C2C2×D4×#518direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×#342042
C22×C4×#5182
C22×#341812
C22×#342052
C22×#342102
C22×#343102
C24×#5182
C22×D4×#1172
C23×D4×C22⋊C42
C22×#341982
C22×C4×D422
C22×#341712
C2×D4×#5182
C22×#342902
C24×D422