Finite Group Databasebeta

← C22×#1260050 #72337099

Subgroups — C22×#1260050 #72337099

Order 2048.

At least 8544 conjugacy classes of subgroups; only the 44880 normal subgroups are shown.

The subgroup lattice has 1557 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14173C211yesmaximal, characteristic, complemented
2C22×#15338C211yesmaximal, characteristic, complemented
3C22×#14996C211yesmaximal, characteristic, complemented
4C22×#14721C211yesmaximal, characteristic, complemented
5C22×#15281C211yesmaximal, characteristic, complemented
6C2×#1260050C2196yesmaximal, direct product factor
7C22×#14730C211yesmaximal, characteristic, complemented
8C22×#14363C211yesmaximal, characteristic, complemented
9C23×#2673C211yesmaximal, characteristic, complemented
10C22×#15278C211yesmaximal, characteristic, complemented
11C22×#15310C211yesmaximal, characteristic, complemented
12C22×#15310C211yesmaximal, characteristic, complemented
13C22×#15310C211yesmaximal, characteristic, complemented
14C22×#16252C211yesmaximal, characteristic, complemented
15C22×#15273C211yesmaximal, characteristic, complemented
16C22×#14722C211yesmaximal, characteristic, complemented
17C22×#16249C211yesmaximal, characteristic, complemented
18C22×#16249C211yesmaximal, characteristic, complemented
19C22×#16249C211yesmaximal, characteristic, complemented
20C23×#2613C211yesmaximal, characteristic, complemented
21C23×#2669C211yesmaximal, characteristic, complemented
22C22×#15258C211yesmaximal, characteristic, complemented
23C23×#2433C211yesmaximal, characteristic, complemented
24C23×#2410C211yesmaximal, characteristic, complemented
25C22×#14716C211yesmaximal, characteristic, complemented
26C22×#14357C211yesmaximal, characteristic, complemented
27C22×#13867C211yesmaximal, characteristic, complemented
28C22×#14715C211yesmaximal, characteristic, complemented
29C22×#14715C211yesmaximal, characteristic, complemented
30C22×#14715C211yesmaximal, characteristic, complemented
31C22×#14715C211yesmaximal, characteristic, complemented
32C24×D42C211yesmaximal, characteristic, complemented
33C26×D4C2211yescharacteristic
34C26×D4C2211yescharacteristic
35C26×D4C2211yescharacteristic
36C26×D4C2211yescharacteristic
37C23×D42C22148yescomplemented
38C24×#127C2211yescharacteristic
39C24×#127C2211yescharacteristic, complemented
40C24×#127C2211yescharacteristic, complemented
41C24×#123C2211yescharacteristic, complemented
42C24×#121C2211yescharacteristic
43C24×#121C2211yescharacteristic
44C24×#121C2211yescharacteristic
45C24×#121C2211yescharacteristic
46C24×#121C2211yescharacteristic, complemented
47C24×#121C2211yescharacteristic, complemented
48C24×#121C2211yescharacteristic, complemented
49C24×#121C2211yescharacteristic, complemented
50C24×#120C2211yescharacteristic
51C24×#120C2211yescharacteristic
52C24×#120C2211yescharacteristic
53C24×#120C2211yescharacteristic
54C24×#120C2211yescharacteristic, complemented
55C24×#120C2211yescharacteristic, complemented
56C24×#120C2211yescharacteristic, complemented
57C24×#120C2211yescharacteristic, complemented
58C24×#120C2211yescharacteristic, complemented
59C24×#120C2211yescharacteristic, complemented
60C24×#120C2211yescharacteristic, complemented
61C24×#120C2211yescharacteristic, complemented
62C24×C4×D4C2211yescharacteristic
63C24×C4×D4C2211yescharacteristic
64C25×C22⋊C4C2211yescharacteristic, complemented
65C22×#2673C22148yescomplemented
66C22×#2669C22148yescomplemented
67C22×#2433C22148yescomplemented
68C22×#2410C22148yescomplemented
69C22×#2613C22148yescomplemented
70C23×#394C2211yescharacteristic
71C23×#394C2211yescharacteristic, complemented
72C23×#394C2211yescharacteristic, complemented
73C23×#394C2211yescharacteristic, complemented
74C23×#394C2211yescharacteristic, complemented
75C23×#394C2211yescharacteristic, complemented
76C23×#394C2211yescharacteristic, complemented
77C23×#394C2211yescharacteristic, complemented
78C23×#394C2211yescharacteristic, complemented
79C23×#394C2211yescharacteristic, complemented
80C23×#392C2211yescharacteristic
81C23×#392C2211yescharacteristic
82C23×#392C2211yescharacteristic
83C23×#392C2211yescharacteristic
84C23×#392C2211yescharacteristic, complemented
85C23×#392C2211yescharacteristic, complemented
86C23×#392C2211yescharacteristic, complemented
87C23×#392C2211yescharacteristic, complemented
88C23×#392C2211yescharacteristic, complemented
89C23×#392C2211yescharacteristic, complemented
90C23×#392C2211yescharacteristic, complemented
91C23×#392C2211yescharacteristic, complemented
92C23×#392C2211yescharacteristic, complemented
93C23×#392C2211yescharacteristic, complemented
94C23×#392C2211yescharacteristic, complemented
95C23×#392C2211yescharacteristic, complemented
96C23×#392C2211yescharacteristic, complemented
97C23×#392C2211yescharacteristic, complemented
98C23×#392C2211yescharacteristic, complemented
99C23×#392C2211yescharacteristic, complemented
100C23×#392C2211yescharacteristic, complemented
101C23×#392C2211yescharacteristic, complemented
102C23×#392C2211yescharacteristic, complemented
103C23×#392C2211yescharacteristic, complemented
104C23×#392C2211yescharacteristic, complemented
105C23×#392C2211yescharacteristic, complemented
106C23×#392C2211yescharacteristic, complemented
107C23×#392C2211yescharacteristic, complemented
108C23×#390C2211yescharacteristic, complemented
109C23×#390C2211yescharacteristic, complemented
110C23×#388C2211yescharacteristic, complemented
111C23×#388C2211yescharacteristic, complemented
112C23×#388C2211yescharacteristic, complemented
113C23×#387C2211yescharacteristic, complemented
114C23×#386C2211yescharacteristic, complemented
115C23×#386C2211yescharacteristic, complemented
116C23×#386C2211yescharacteristic, complemented
117C23×#386C2211yescharacteristic, complemented
118C23×#386C2211yescharacteristic, complemented
119C23×#386C2211yescharacteristic, complemented
120C23×#386C2211yescharacteristic, complemented
121C23×#386C2211yescharacteristic, complemented
122C23×#386C2211yescharacteristic, complemented
123C23×#386C2211yescharacteristic, complemented
124C23×#386C2211yescharacteristic, complemented
125C23×#386C2211yescharacteristic, complemented
126C23×#386C2211yescharacteristic, complemented
127C23×#385C2211yescharacteristic, complemented
128C23×#381C2211yescharacteristic, complemented
129C23×#379C2211yescharacteristic, complemented
130C23×#379C2211yescharacteristic, complemented
131C23×#379C2211yescharacteristic, complemented
132C23×#379C2211yescharacteristic, complemented
133C23×#379C2211yescharacteristic, complemented
134C23×#379C2211yescharacteristic, complemented
135C23×#379C2211yescharacteristic, complemented
136C23×C4×C22⋊C4C2211yescharacteristic, complemented
137#1260050C2211024yesdirect product factor
138C2×#16252C22148yescomplemented
139C2×#16249C22148yescomplemented
140C2×#16249C22148yescomplemented
141C2×#16249C22148yescomplemented
142C2×#15338C22148yescomplemented
143C2×#15310C22148yescomplemented
144C2×#15310C22148yescomplemented
145C2×#15310C22148yescomplemented
146C2×#15281C22148yescomplemented
147C2×#15278C22148yescomplemented
148C2×#15273C22148yescomplemented
149C2×#15258C22148yescomplemented
150C2×#14996C22148yescomplemented
151C2×#14730C22148yescomplemented
152C2×#14722C22148yescomplemented
153C2×#14721C22148yescomplemented
154C2×#14716C22148yescomplemented
155C2×#14715C22148yescomplemented
156C2×#14715C22148yescomplemented
157C2×#14715C22148yescomplemented
158C2×#14715C22148yescomplemented
159C2×#14363C22148yescomplemented
160C2×#14357C22148yescomplemented
161C2×#14173C22148yescomplemented
162C2×#13867C22148yescomplemented
163C22×#1444C2211yescharacteristic, complemented
164C22×#1442C2211yescharacteristic, complemented
165C22×#1441C2211yescharacteristic, complemented
166C22×#1440C2211yescharacteristic, complemented
167C22×#1440C2211yescharacteristic, complemented
168C22×#1440C2211yescharacteristic, complemented
169C22×#1440C2211yescharacteristic, complemented
170C22×#1440C2211yescharacteristic, complemented
171C22×#1439C2211yescharacteristic, complemented
172C22×#1439C2211yescharacteristic, complemented
173C22×#1439C2211yescharacteristic, complemented
174C22×#1439C2211yescharacteristic, complemented
175C22×#1439C2211yescharacteristic, complemented
176C22×#1439C2211yescharacteristic, complemented
177C22×#1439C2211yescharacteristic, complemented
178C22×#1439C2211yescharacteristic, complemented
179C22×#1439C2211yescharacteristic, complemented
180C22×#1438C2211yescharacteristic
181C22×#1438C2211yescharacteristic
182C22×#1438C2211yescharacteristic
183C22×#1438C2211yescharacteristic, complemented
184C22×#1438C2211yescharacteristic, complemented
185C22×#1438C2211yescharacteristic, complemented
186C22×#1438C2211yescharacteristic, complemented
187C22×#1438C2211yescharacteristic, complemented
188C22×#1438C2211yescharacteristic, complemented
189C22×#1438C2211yescharacteristic, complemented
190C22×#1438C2211yescharacteristic, complemented
191C22×#1438C2211yescharacteristic, complemented
192C22×#1438C2211yescharacteristic, complemented
193C22×#1438C2211yescharacteristic, complemented
194C22×#1438C2211yescharacteristic, complemented
195C22×#1438C2211yescharacteristic, complemented
196C22×#1438C2211yescharacteristic, complemented
197C22×#1438C2211yescharacteristic, complemented
198C22×#1438C2211yescharacteristic, complemented
199C22×#1438C2211yescharacteristic, complemented
200C22×#1438C2211yescharacteristic, complemented
201C22×#1438C2211yescharacteristic, complemented
202C22×#1438C2211yescharacteristic, complemented
203C22×#1438C2211yescharacteristic, complemented
204C22×#1438C2211yescharacteristic, complemented
205C22×#1437C2211yescharacteristic, complemented
206C22×#1437C2211yescharacteristic, complemented
207C22×#1437C2211yescharacteristic, complemented
208C22×#1437C2211yescharacteristic, complemented
209C22×#1437C2211yescharacteristic, complemented
210C22×#1436C2211yescharacteristic, complemented
211C22×#1436C2211yescharacteristic, complemented
212C22×#1436C2211yescharacteristic, complemented
213C22×C22⋊#95C2211yescharacteristic, complemented
214C22×C22⋊#95C2211yescharacteristic, complemented
215C22×C22⋊#95C2211yescharacteristic, complemented
216C22×C22⋊#95C2211yescharacteristic, complemented
217C22×C22⋊#95C2211yescharacteristic, complemented
218C22×C22⋊#95C2211yescharacteristic, complemented
219C22×C22⋊#95C2211yescharacteristic, complemented
220C28C2311yescharacteristic
221C28C2311yescharacteristic
222C28C2311yescharacteristic
223C28C2311yescharacteristic
224C25×D4D4132yescomplemented
225C25×D4C2311yescharacteristic
226C25×D4C2311yescharacteristic
227C25×D4C2311yescharacteristic
228C25×D4C2311yescharacteristic
229C25×D4C2311yescharacteristic
230C25×D4C2311yescharacteristic
231C25×D4C2311yescharacteristic
232C25×D4C2311yescharacteristic
233C25×D4C2311yescharacteristic
234C25×D4C2311yescharacteristic
235C25×D4C2311yescharacteristic
236C25×D4C2311yescharacteristic
237C25×D4C2311yescharacteristic
238C25×D4C2311yescharacteristic
239C25×D4C2311yescharacteristic
240C25×D4C23124yes—
241C25×D4C23124yes—
242C25×D4C2311yescharacteristic
243C25×D4C2311yescharacteristic
244C25×D4C2311yescharacteristic
245C25×D4C2311yescharacteristic
246C25×D4C2311yescharacteristic
247C25×D4C2311yescharacteristic
248C25×D4C2311yescharacteristic
249C25×D4C2311yescharacteristic
250C25×D4C2311yescharacteristic
251C25×D4C23124yes—
252C25×D4C2311yescharacteristic
253C25×D4C2311yescharacteristic
254C25×D4C2311yescharacteristic
255C25×D4C2311yescharacteristic
256C25×D4C2311yescharacteristic
257C25×D4C2311yescharacteristic
258C25×D4C23124yes—
259C25×D4C2311yescharacteristic
260C25×D4C2311yescharacteristic
261C25×D4C2311yescharacteristic
262C26×C4C2311yescharacteristic
263C26×C4C2311yescharacteristic
264C26×C4C2311yescharacteristic
265C26×C4C2311yescharacteristic
266C26×C4C2311yescharacteristic
267C26×C4C2311yescharacteristic
268C22×D42C231256yescomplemented
269C23×#127C23124yes—
270C23×#127C23124yescomplemented
271C23×#127C23124yescomplemented
272C23×#123C23124yescomplemented
273C23×#121D4132yescomplemented
274C23×#121C23124yes—
275C23×#121C23124yes—
276C23×#121C23124yes—
277C23×#121C23124yes—
278C23×#121C23124yescomplemented
279C23×#121C23124yescomplemented
280C23×#121C23124yescomplemented
281C23×#121C23124yescomplemented
282C23×#120D4132yescomplemented
283C23×#120C23124yes—
284C23×#120C23124yes—
285C23×#120C23124yes—
286C23×#120C23124yes—
287C23×#120C23124yescomplemented
288C23×#120C23124yescomplemented
289C23×#120C23124yescomplemented
290C23×#120C23124yescomplemented
291C23×#120C23124yescomplemented
292C23×#120C23124yescomplemented
293C23×#120C23124yescomplemented
294C23×#120C23124yescomplemented
295C23×C4×D4C23124yes—
296C23×C4×D4C23124yes—
297C24×C4⋊C4C2311yescharacteristic
298C24×C4⋊C4C2311yescharacteristic
299C24×C4⋊C4C2311yescharacteristic
300C24×C4⋊C4C2311yescharacteristic
301C24×C4⋊C4C2311yescharacteristic
302C24×C4⋊C4C2311yescharacteristic
303C24×C4⋊C4C2311yescharacteristic
304C24×C22⋊C4C2311yescharacteristic
305C24×C22⋊C4C2311yescharacteristic
306C24×C22⋊C4C2311yescharacteristic
307C24×C22⋊C4C2311yescharacteristic
308C24×C22⋊C4C2311yescharacteristic
309C24×C22⋊C4C2311yescharacteristic
310C24×C22⋊C4C2311yescharacteristic
311C24×C22⋊C4C2311yescharacteristic
312C24×C22⋊C4C2311yescharacteristic
313C24×C22⋊C4C2311yescharacteristic
314C24×C22⋊C4C2311yescharacteristic
315C24×C22⋊C4C2311yescharacteristic
316C24×C22⋊C4C2311yescharacteristic
317C24×C22⋊C4C2311yescharacteristic
318C24×C22⋊C4C2311yescharacteristic
319C24×C22⋊C4C2311yescharacteristic
320C24×C22⋊C4C2311yescharacteristic
321C24×C22⋊C4C2311yescharacteristic
322C24×C22⋊C4C2311yescharacteristic
323C24×C22⋊C4C2311yescharacteristic
324C24×C22⋊C4C2311yescharacteristic
325C24×C22⋊C4C2311yescharacteristic
326C24×C22⋊C4C2311yescharacteristic
327C24×C22⋊C4C2311yescharacteristic
328C24×C22⋊C4C2311yescharacteristic
329C24×C22⋊C4C2311yescharacteristic
330C24×C22⋊C4C2311yescharacteristic
331C24×C22⋊C4C2311yescharacteristic
332C24×C22⋊C4C2311yescharacteristic
333C24×C22⋊C4C2311yescharacteristic
334C24×C22⋊C4C2311yescharacteristic
335C24×C22⋊C4C2311yescharacteristic
336C24×C22⋊C4C2311yescharacteristic
337C24×C22⋊C4C2311yescharacteristic
338C24×C22⋊C4C2311yescharacteristic
339C24×C22⋊C4C2311yescharacteristic
340C24×C22⋊C4C2311yescharacteristic
341C24×C22⋊C4C2311yescharacteristic
342C24×C22⋊C4C2311yescharacteristic
343C24×C22⋊C4C2311yescharacteristic
344C24×C22⋊C4C2311yescharacteristic
345C24×C22⋊C4C2311yescharacteristic
346C24×C22⋊C4C2311yescharacteristic
347C24×C22⋊C4C2311yescharacteristic
348C24×C22⋊C4C2311yescharacteristic
349C24×C22⋊C4C2311yescharacteristic
350C24×C22⋊C4C2311yescharacteristic
351C24×C22⋊C4C2311yescharacteristic
352C24×C22⋊C4C2311yescharacteristic
353C24×C22⋊C4C2311yescharacteristic
354C24×C22⋊C4C2311yescharacteristic
355C24×C22⋊C4C2311yescharacteristic
356C24×C22⋊C4C2311yescharacteristic
357C24×C22⋊C4C2311yescharacteristic
358C24×C22⋊C4C2311yescharacteristic
359C24×C22⋊C4C2311yescharacteristic
360C24×C22⋊C4C2311yescharacteristic
361C24×C22⋊C4C2311yescharacteristic
362C24×C22⋊C4C2311yescharacteristic
363C24×C22⋊C4C2311yescharacteristic
364C24×C22⋊C4C2311yescharacteristic
365C24×C22⋊C4C2311yescharacteristic
366C24×C22⋊C4C2311yescharacteristic
367C24×C22⋊C4C2311yescharacteristic
368C24×C22⋊C4C2311yescharacteristic
369C24×C22⋊C4C2311yescharacteristic
370C24×C22⋊C4C23124yescomplemented
371C24×C42C2311yescharacteristic
372C24×C42C2311yescharacteristic
373C24×C42C2311yescharacteristic
374C2×#2673C231256yescomplemented
375C2×#2669C231256yescomplemented
376C2×#2433C231256yescomplemented
377C2×#2410C231256yescomplemented
378C2×#2613C231256yescomplemented
379C22×#394D4132yescomplemented
380C22×#394C23124yes—
381C22×#394C23124yescomplemented
382C22×#394C23124yescomplemented
383C22×#394C23124yescomplemented
384C22×#394C23124yescomplemented
385C22×#394C23124yescomplemented
386C22×#394C23124yescomplemented
387C22×#394C23124yescomplemented
388C22×#394C23124yescomplemented
389C22×#394C23124yescomplemented
390C22×#392C23124yes—
391C22×#392C23124yes—
392C22×#392C23124yes—
393C22×#392C23124yes—
394C22×#392C23124yescomplemented
395C22×#392C23124yescomplemented
396C22×#392C23124yescomplemented
397C22×#392C23124yescomplemented
398C22×#392C23124yescomplemented
399C22×#392C23124yescomplemented
400C22×#392C23124yescomplemented
401C22×#392C23124yescomplemented
402C22×#392C23124yescomplemented
403C22×#392C23124yescomplemented
404C22×#392C23124yescomplemented
405C22×#392C23124yescomplemented
406C22×#392C23124yescomplemented
407C22×#392C23124yescomplemented
408C22×#392C23124yescomplemented
409C22×#392C23124yescomplemented
410C22×#392C23124yescomplemented
411C22×#392C23124yescomplemented
412C22×#392C23124yescomplemented
413C22×#392C23124yescomplemented
414C22×#392C23124yescomplemented
415C22×#392C23124yescomplemented
416C22×#392C23124yescomplemented
417C22×#392C23124yescomplemented
418C22×#390C23124yescomplemented
419C22×#390C23124yescomplemented
420C22×#388C23124yescomplemented
421C22×#388C23124yescomplemented
422C22×#388C23124yescomplemented
423C22×#387C23124yescomplemented
424C22×#386C23124yescomplemented
425C22×#386C23124yescomplemented
426C22×#386C23124yescomplemented
427C22×#386C23124yescomplemented
428C22×#386C23124yescomplemented
429C22×#386C23124yescomplemented
430C22×#386C23124yescomplemented
431C22×#386C23124yescomplemented
432C22×#386C23124yescomplemented
433C22×#386C23124yescomplemented
434C22×#386C23124yescomplemented
435C22×#386C23124yescomplemented
436C22×#386C23124yescomplemented
437C22×#385C23124yescomplemented
438C22×#381C23124yescomplemented
439C22×#379C23124yescomplemented
440C22×#379C23124yescomplemented
441C22×#379C23124yescomplemented
442C22×#379C23124yescomplemented
443C22×#379C23124yescomplemented
444C22×#379C23124yescomplemented
445C22×#379C23124yescomplemented
446C22×C4×C22⋊C4C23124yescomplemented
447C23×#95C2311yescharacteristic
448C23×#95C2311yescharacteristic
449C23×#95C2311yescharacteristic
450C23×#95C2311yescharacteristic
451C23×#95C2311yescharacteristic
452C23×#95C2311yescharacteristic
453C23×#95C2311yescharacteristic
454C23×#95C2311yescharacteristic
455C23×#95C2311yescharacteristic
456C23×#95C2311yescharacteristic
457C23×#95C2311yescharacteristic
458C23×#95C2311yescharacteristic
459C23×#95C2311yescharacteristic
460C23×#95C2311yescharacteristic
461C23×#95C2311yescharacteristic
462C23×#95C2311yescharacteristic
463C23×#95C2311yescharacteristic
464C23×#95C2311yescharacteristic
465C23×#95C2311yescharacteristic
466C23×#95C2311yescharacteristic
467C23×#95C2311yescharacteristic
468C23×#95C2311yescharacteristic
469C23×#95C2311yescharacteristic
470C23×#95C2311yescharacteristic
471C23×#95C2311yescharacteristic
472C23×#95C2311yescharacteristic
473C23×#95C2311yescharacteristic
474C23×#95C2311yescharacteristic
475C23×#95C2311yescharacteristic
476C23×#95C2311yescharacteristic
477C23×#95C2311yescharacteristic
478C23×#95C2311yescharacteristic
479C23×#95C2311yescharacteristic
480C23×#95C2311yescharacteristic
481C23×#95C2311yescharacteristic
482C23×#95C2311yescharacteristic
483#16252C231256yescomplemented
484#16249C231256yescomplemented
485#16249C231256yescomplemented
486#16249C231256yescomplemented
487#15338C231256yescomplemented
488#15310C231256yescomplemented
489#15310C231256yescomplemented
490#15310C231256yescomplemented
491#15281C231256yescomplemented
492#15278C231256yescomplemented
493#15273C231256yescomplemented
494#15258C231256yescomplemented
495#14996C231256yescomplemented
496#14730C231256yescomplemented
497#14722C231256yescomplemented
498#14721C231256yescomplemented
499#14716C231256yescomplemented
500#14715C231256yescomplemented
501#14715C231256yescomplemented
502#14715C231256yescomplemented
503#14715C231256yescomplemented
504#14363C231256yescomplemented
505#14357C231256yescomplemented
506#14173C231256yescomplemented
507#13867C231256yescomplemented
508C2×#1444C23124yescomplemented
509C2×#1442C23124yescomplemented
510C2×#1441C23124yescomplemented
511C2×#1440C23124yescomplemented
512C2×#1440C23124yescomplemented
513C2×#1440C23124yescomplemented
514C2×#1440C23124yescomplemented
515C2×#1440C23124yescomplemented
516C2×#1439C23124yescomplemented
517C2×#1439C23124yescomplemented
518C2×#1439C23124yescomplemented
519C2×#1439C23124yescomplemented
520C2×#1439C23124yescomplemented
521C2×#1439C23124yescomplemented
522C2×#1439C23124yescomplemented
523C2×#1439C23124yescomplemented
524C2×#1439C23124yescomplemented
525C2×#1438C23124yes—
526C2×#1438C23124yes—
527C2×#1438C23124yes—
528C2×#1438C23124yescomplemented
529C2×#1438C23124yescomplemented
530C2×#1438C23124yescomplemented
531C2×#1438C23124yescomplemented
532C2×#1438C23124yescomplemented
533C2×#1438C23124yescomplemented
534C2×#1438C23124yescomplemented
535C2×#1438C23124yescomplemented
536C2×#1438C23124yescomplemented
537C2×#1438C23124yescomplemented
538C2×#1438C23124yescomplemented
539C2×#1438C23124yescomplemented
540C2×#1438C23124yescomplemented
541C2×#1438C23124yescomplemented
542C2×#1438C23124yescomplemented
543C2×#1438C23124yescomplemented
544C2×#1438C23124yescomplemented
545C2×#1438C23124yescomplemented
546C2×#1438C23124yescomplemented
547C2×#1438C23124yescomplemented
548C2×#1438C23124yescomplemented
549C2×#1438C23124yescomplemented
550C2×#1437C23124yescomplemented
551C2×#1437C23124yescomplemented
552C2×#1437C23124yescomplemented
553C2×#1437C23124yescomplemented
554C2×#1437C23124yescomplemented
555C2×#1436C23124yescomplemented
556C2×#1436C23124yescomplemented
557C2×#1436C23124yescomplemented
558C2×C22⋊#95C23124yescomplemented
559C2×C22⋊#95C23124yescomplemented
560C2×C22⋊#95C23124yescomplemented
561C2×C22⋊#95C23124yescomplemented
562C2×C22⋊#95C23124yescomplemented
563C2×C22⋊#95C23124yescomplemented
564C2×C22⋊#95C23124yescomplemented
565C27C2×D4116yes—
566C27C2×D4116yes—
567C27C2×D4116yes—
568C27C2411yescharacteristic
569C27C2411yescharacteristic
570C27C2411yescharacteristic
571C27C2411yescharacteristic
572C27C2411yescharacteristic
573C27C2411yescharacteristic
574C27C2411yescharacteristic
575C27C2411yescharacteristic
576C27C2411yescharacteristic
577C27C2411yescharacteristic
578C27C24112yes—
579C27C24112yes—
580C27C24112yes—
581C27C24112yes—
582C24×D4C2×D4116yes—
583C24×D4C2×D4116yes—
584C24×D4C2×D4116yes—
585C24×D4C2×D4116yes—
586C24×D4C2×D4116yes—
587C24×D4C2×D4116yes—
588C24×D4C2×D4116yes—
589C24×D4C2×D4116yes—
590C24×D4C2×D4116yes—
591C24×D4C2×D4116yes—
592C24×D4C2×D4116yes—
593C24×D4C2×D41384yescomplemented
594C24×D4C24112yes—
595C24×D4C24112yes—
596C24×D4C24112yes—
597C24×D4C24112yes—
598C24×D4C24112yes—
599C24×D4C24112yes—
600C24×D4C24112yes—
601C24×D4C24112yes—
602C24×D4C24112yes—
603C24×D4C24112yes—
604C24×D4C24164yes—
605C24×D4C24164yes—
606C24×D4C24112yes—
607C24×D4C24112yes—
608C24×D4C24112yes—
609C24×D4C24112yes—
610C24×D4C24112yes—
611C24×D4C24112yes—
612C24×D4C24112yes—
613C24×D4C24112yes—
614C24×D4C24112yes—
615C24×D4C24112yes—
616C24×D4C24112yes—
617C24×D4C24112yes—
618C24×D4C24164yes—
619C24×D4C24112yes—
620C24×D4C24112yes—
621C24×D4C24112yes—
622C24×D4C24112yes—
623C24×D4C24112yes—
624C24×D4C24112yes—
625C24×D4C24112yes—
626C24×D4C24112yes—
627C24×D4C24164yes—
628C24×D4C24112yes—
629C24×D4C24112yes—
630C24×D4C24112yes—
631C25×C4C2×D4116yes—
632C25×C4C2×D4116yes—
633C25×C4C2411yescharacteristic
634C25×C4C2411yescharacteristic
635C25×C4C2411yescharacteristic
636C25×C4C2411yescharacteristic
637C25×C4C2411yescharacteristic
638C25×C4C2411yescharacteristic
639C25×C4C2411yescharacteristic
640C25×C4C2411yescharacteristic
641C25×C4C2411yescharacteristic
642C25×C4C2411yescharacteristic
643C25×C4C2411yescharacteristic
644C25×C4C2411yescharacteristic
645C25×C4C2411yescharacteristic
646C25×C4C2411yescharacteristic
647C25×C4C2411yescharacteristic
648C25×C4C2411yescharacteristic
649C25×C4C2411yescharacteristic
650C25×C4C2411yescharacteristic
651C25×C4C24112yes—
652C25×C4C24112yes—
653C25×C4C24112yes—
654C25×C4C24112yes—
655C25×C4C2411yescharacteristic
656C25×C4C2411yescharacteristic
657C25×C4C2411yescharacteristic
658C25×C4C24112yes—
659C25×C4C24112yes—
660C22×#127C24164yes—
661C22×#127C24164yescomplemented
662C22×#127C24164yescomplemented
663C22×#123C24164yescomplemented
664C22×#121C2×D41384yescomplemented
665C22×#121C24164yes—
666C22×#121C24164yes—
667C22×#121C24164yes—
668C22×#121C24164yes—
669C22×#121C24164yescomplemented
670C22×#121C24164yescomplemented
671C22×#121C24164yescomplemented
672C22×#121C24164yescomplemented
673C22×#120C2×D41384yescomplemented
674C22×#120C24164yes—
675C22×#120C24164yes—
676C22×#120C24164yes—
677C22×#120C24164yes—
678C22×#120C24164yescomplemented
679C22×#120C24164yescomplemented
680C22×#120C24164yescomplemented
681C22×#120C24164yescomplemented
682C22×#120C24164yescomplemented
683C22×#120C24164yescomplemented
684C22×#120C24164yescomplemented
685C22×#120C24164yescomplemented
686C22×C4×D4C24164yes—
687C22×C4×D4C24164yes—
688C23×C4⋊C4C2×D4116yes—
689C23×C4⋊C4C2×D4116yescomplemented
690C23×C4⋊C4C24112yes—
691C23×C4⋊C4C24112yes—
692C23×C4⋊C4C24112yes—
693C23×C4⋊C4C24112yes—
694C23×C4⋊C4C24112yes—
695C23×C4⋊C4C24112yes—
696C23×C4⋊C4C24112yes—
697C23×C22⋊C4C2×D4116yes—
698C23×C22⋊C4C2×D4116yes—
699C23×C22⋊C4C2×D4116yes—
700C23×C22⋊C4C2×D4116yes—
701C23×C22⋊C4C2×D4116yes—
702C23×C22⋊C4C2×D4116yescomplemented
703C23×C22⋊C4C2×D4116yescomplemented
704C23×C22⋊C4C2×D4116yescomplemented
705C23×C22⋊C4C2×D4116yescomplemented
706C23×C22⋊C4C24112yes—
707C23×C22⋊C4C24112yes—
708C23×C22⋊C4C24112yes—
709C23×C22⋊C4C24112yes—
710C23×C22⋊C4C24112yes—
711C23×C22⋊C4C24112yes—
712C23×C22⋊C4C24112yes—
713C23×C22⋊C4C24112yes—
714C23×C22⋊C4C24112yes—
715C23×C22⋊C4C24112yes—
716C23×C22⋊C4C24112yes—
717C23×C22⋊C4C24112yes—
718C23×C22⋊C4C24112yes—
719C23×C22⋊C4C24112yes—
720C23×C22⋊C4C24112yes—
721C23×C22⋊C4C24112yes—
722C23×C22⋊C4C24112yes—
723C23×C22⋊C4C24112yes—
724C23×C22⋊C4C24112yes—
725C23×C22⋊C4C24112yes—
726C23×C22⋊C4C24112yes—
727C23×C22⋊C4C24112yes—
728C23×C22⋊C4C24112yes—
729C23×C22⋊C4C24112yes—
730C23×C22⋊C4C24112yes—
731C23×C22⋊C4C24112yes—
732C23×C22⋊C4C24112yes—
733C23×C22⋊C4C24112yes—
734C23×C22⋊C4C24112yes—
735C23×C22⋊C4C24112yes—
736C23×C22⋊C4C24112yes—
737C23×C22⋊C4C24112yes—
738C23×C22⋊C4C24112yes—
739C23×C22⋊C4C24112yes—
740C23×C22⋊C4C24112yes—
741C23×C22⋊C4C24112yes—
742C23×C22⋊C4C24112yes—
743C23×C22⋊C4C24112yes—
744C23×C22⋊C4C24112yes—
745C23×C22⋊C4C24112yes—
746C23×C22⋊C4C24112yes—
747C23×C22⋊C4C24112yes—
748C23×C22⋊C4C24112yes—
749C23×C22⋊C4C24112yes—
750C23×C22⋊C4C24112yes—
751C23×C22⋊C4C24112yes—
752C23×C22⋊C4C24112yes—
753C23×C22⋊C4C24112yes—
754C23×C22⋊C4C24112yes—
755C23×C22⋊C4C24112yes—
756C23×C22⋊C4C24112yes—
757C23×C22⋊C4C24112yes—
758C23×C22⋊C4C24112yes—
759C23×C22⋊C4C24112yes—
760C23×C22⋊C4C24112yes—
761C23×C22⋊C4C24112yes—
762C23×C22⋊C4C24112yes—
763C23×C22⋊C4C24112yes—
764C23×C22⋊C4C24112yes—
765C23×C22⋊C4C24112yes—
766C23×C22⋊C4C24112yes—
767C23×C22⋊C4C24112yes—
768C23×C22⋊C4C24112yes—
769C23×C22⋊C4C24112yes—
770C23×C22⋊C4C24112yes—
771C23×C22⋊C4C24112yes—
772C23×C22⋊C4C24164yescomplemented
773C23×C42C24112yes—
774C23×C42C24112yes—
775C23×C42C24112yes—
776C2×#394C2×D41384yescomplemented
777C2×#394C24164yes—
778C2×#394C24164yescomplemented
779C2×#394C24164yescomplemented
780C2×#394C24164yescomplemented
781C2×#394C24164yescomplemented
782C2×#394C24164yescomplemented
783C2×#394C24164yescomplemented
784C2×#394C24164yescomplemented
785C2×#394C24164yescomplemented
786C2×#394C24164yescomplemented
787C2×#392C24164yes—
788C2×#392C24164yes—
789C2×#392C24164yes—
790C2×#392C24164yes—
791C2×#392C24164yescomplemented
792C2×#392C24164yescomplemented
793C2×#392C24164yescomplemented
794C2×#392C24164yescomplemented
795C2×#392C24164yescomplemented
796C2×#392C24164yescomplemented
797C2×#392C24164yescomplemented
798C2×#392C24164yescomplemented
799C2×#392C24164yescomplemented
800C2×#392C24164yescomplemented
801C2×#392C24164yescomplemented
802C2×#392C24164yescomplemented
803C2×#392C24164yescomplemented
804C2×#392C24164yescomplemented
805C2×#392C24164yescomplemented
806C2×#392C24164yescomplemented
807C2×#392C24164yescomplemented
808C2×#392C24164yescomplemented
809C2×#392C24164yescomplemented
810C2×#392C24164yescomplemented
811C2×#392C24164yescomplemented
812C2×#392C24164yescomplemented
813C2×#392C24164yescomplemented
814C2×#392C24164yescomplemented
815C2×#390C24164yescomplemented
816C2×#390C24164yescomplemented
817C2×#388C24164yescomplemented
818C2×#388C24164yescomplemented
819C2×#388C24164yescomplemented
820C2×#387C24164yescomplemented
821C2×#386C24164yescomplemented
822C2×#386C24164yescomplemented
823C2×#386C24164yescomplemented
824C2×#386C24164yescomplemented
825C2×#386C24164yescomplemented
826C2×#386C24164yescomplemented
827C2×#386C24164yescomplemented
828C2×#386C24164yescomplemented
829C2×#386C24164yescomplemented
830C2×#386C24164yescomplemented
831C2×#386C24164yescomplemented
832C2×#386C24164yescomplemented
833C2×#386C24164yescomplemented
834C2×#385C24164yescomplemented
835C2×#381C24164yescomplemented
836C2×#379C24164yescomplemented
837C2×#379C24164yescomplemented
838C2×#379C24164yescomplemented
839C2×#379C24164yescomplemented
840C2×#379C24164yescomplemented
841C2×#379C24164yescomplemented
842C2×#379C24164yescomplemented
843C2×C4×C22⋊C4C24164yescomplemented
844C22×#95C2×D4116yescomplemented
845C22×#95C24112yes—
846C22×#95C24112yes—
847C22×#95C24112yes—
848C22×#95C24112yes—
849C22×#95C24112yes—
850C22×#95C24112yes—
851C22×#95C24112yes—
852C22×#95C24112yes—
853C22×#95C24112yes—
854C22×#95C24112yes—
855C22×#95C24112yes—
856C22×#95C24112yes—
857C22×#95C24112yes—
858C22×#95C24112yes—
859C22×#95C24112yes—
860C22×#95C24112yes—
861C22×#95C24112yes—
862C22×#95C24112yes—
863C22×#95C24112yes—
864C22×#95C24112yes—
865C22×#95C24112yes—
866C22×#95C24112yes—
867C22×#95C24112yes—
868C22×#95C24112yes—
869C22×#95C24112yes—
870C22×#95C24112yes—
871C22×#95C24112yes—
872C22×#95C24112yes—
873C22×#95C24112yes—
874C22×#95C24112yes—
875C22×#95C24112yes—
876C22×#95C24112yes—
877C22×#95C24112yes—
878C22×#95C24112yes—
879C22×#95C24112yes—
880C22×#95C24112yes—
881#1444C24164yescomplemented
882#1442C24164yescomplemented
883#1441C24164yescomplemented
884#1440C24164yescomplemented
885#1440C24164yescomplemented
886#1440C24164yescomplemented
887#1440C24164yescomplemented
888#1440C24164yescomplemented
889#1439C24164yescomplemented
890#1439C24164yescomplemented
891#1439C24164yescomplemented
892#1439C24164yescomplemented
893#1439C24164yescomplemented
894#1439C24164yescomplemented
895#1439C24164yescomplemented
896#1439C24164yescomplemented
897#1439C24164yescomplemented
898#1438C24164yes—
899#1438C24164yes—
900#1438C24164yes—
901#1438C24164yescomplemented
902#1438C24164yescomplemented
903#1438C24164yescomplemented
904#1438C24164yescomplemented
905#1438C24164yescomplemented
906#1438C24164yescomplemented
907#1438C24164yescomplemented
908#1438C24164yescomplemented
909#1438C24164yescomplemented
910#1438C24164yescomplemented
911#1438C24164yescomplemented
912#1438C24164yescomplemented
913#1438C24164yescomplemented
914#1438C24164yescomplemented
915#1438C24164yescomplemented
916#1438C24164yescomplemented
917#1438C24164yescomplemented
918#1438C24164yescomplemented
919#1438C24164yescomplemented
920#1438C24164yescomplemented
921#1438C24164yescomplemented
922#1438C24164yescomplemented
923#1437C24164yescomplemented
924#1437C24164yescomplemented
925#1437C24164yescomplemented
926#1437C24164yescomplemented
927#1437C24164yescomplemented
928#1436C24164yescomplemented
929#1436C24164yescomplemented
930#1436C24164yescomplemented
931C22⋊#95C24164yescomplemented
932C22⋊#95C24164yescomplemented
933C22⋊#95C24164yescomplemented
934C22⋊#95C24164yescomplemented
935C22⋊#95C24164yescomplemented
936C22⋊#95C24164yescomplemented
937C22⋊#95C24164yescomplemented
938C26C22×D418yes—
939C26C22×D418yes—
940C26C22×D418yes—
941C26C22×D418yes—
942C26C22×D418yes—
943C26C22×D418yes—
944C26C22×D418yes—
945C26C22×D418yes—
946C26C22×D418yes—
947C26C22×D418yes—
948C26C22×D418yes—
949C26C22×D418yes—
950C26C22×D418yes—
951C26C22×D418yes—
952C26C22×D4196yes—
953C26C22×D4196yes—
954C26C22×D4196yes—
955C26H(5,𝔽2)18yes—
956C26H(5,𝔽2)18yes—
957C26H(5,𝔽2)18yes—
958C26H(5,𝔽2)18yes—
959C26C2516yes—
960C26C2516yes—
961C26C2516yes—
962C26C2516yes—
963C26C2516yes—
964C26C2516yes—
965C26C2516yes—
966C26C2516yes—
967C26C2516yes—
968C26C2516yes—
969C26C25116yes—
970C26C25116yes—
971C26C25116yes—
972C26C25116yes—
973C26C2511yescharacteristic
974C23×D4#1201256yescomplemented
975C23×D4C22×D4196yes—
976C23×D4C22×D4196yes—
977C23×D4C22×D4196yes—
978C23×D4C22×D4196yes—
979C23×D4C22×D4196yes—
980C23×D4C22×D4196yes—
981C23×D4C22×D4196yes—
982C23×D4C22×D4196yes—
983C23×D4C22×D4196yes—
984C23×D4C22×D4196yes—
985C23×D4C22×D4196yes—
986C23×D4C22×D41512yescomplemented
987C23×D4C25116yes—
988C23×D4C25116yes—
989C23×D4C25116yes—
990C23×D4C25116yes—
991C23×D4C25116yes—
992C23×D4C25116yes—
993C23×D4C25116yes—
994C23×D4C25116yes—
995C23×D4C25116yes—
996C23×D4C25116yes—
997C23×D4C25116yes—
998C23×D4C25116yes—
999C23×D4C25116yes—
1000C23×D4C25116yes—
1001C23×D4C25116yes—
1002C23×D4C25116yes—
1003C23×D4C25116yes—
1004C23×D4C25116yes—
1005C23×D4C25116yes—
1006C23×D4C25116yes—
1007C23×D4C25116yes—
1008C23×D4C25116yes—
1009C23×D4C25116yes—
1010C23×D4C25116yes—
1011C23×D4C25116yes—
1012C23×D4C25116yes—
1013C23×D4C25116yes—
1014C23×D4C25116yes—
1015C23×D4C25116yes—
1016C23×D4C25116yes—
1017C23×D4C25116yes—
1018C23×D4C25116yes—
1019C23×D4C25116yes—
1020C24×C4C22×D418yes—
1021C24×C4C22×D418yes—
1022C24×C4C22×D418yes—
1023C24×C4C22×D418yes—
1024C24×C4C22×D418yes—
1025C24×C4C22×D418yes—
1026C24×C4C22×D418yes—
1027C24×C4C22×D418yes—
1028C24×C4C22×D4196yes—
1029C24×C4C22×D4196yes—
1030C24×C4C22×D418yes—
1031C24×C4C22×D418yes—
1032C24×C4C22×D418yes—
1033C24×C4C22×D418yes—
1034C24×C4C22×D418yes—
1035C24×C4C22×D418yes—
1036C24×C4H(5,𝔽2)18yes—
1037C24×C4H(5,𝔽2)18yes—
1038C24×C4H(5,𝔽2)18yes—
1039C24×C4H(5,𝔽2)18yes—
1040C24×C4H(5,𝔽2)18yes—
1041C24×C4H(5,𝔽2)18yes—
1042C24×C4C2516yes—
1043C24×C4C2516yes—
1044C24×C4C2516yes—
1045C24×C4C2516yes—
1046C24×C4C2516yes—
1047C24×C4C2516yes—
1048C24×C4C2516yes—
1049C24×C4C2516yes—
1050C24×C4C2516yes—
1051C24×C4C2516yes—
1052C24×C4C2516yes—
1053C24×C4C2516yes—
1054C24×C4C2516yes—
1055C24×C4C2516yes—
1056C24×C4C2516yes—
1057C24×C4C2516yes—
1058C24×C4C2516yes—
1059C24×C4C2516yes—
1060C24×C4C25116yes—
1061C24×C4C25116yes—
1062C24×C4C25116yes—
1063C24×C4C25116yes—
1064C24×C4C2516yes—
1065C24×C4C2516yes—
1066C24×C4C2516yes—
1067C24×C4C25116yes—
1068C24×C4C25116yes—
1069C2×#121C22×D41512yescomplemented
1070C2×#120C22×D41512yescomplemented
1071C22×C4⋊C4C22×D4196yes—
1072C22×C4⋊C4C22×D4196yescomplemented
1073C22×C4⋊C4C25116yes—
1074C22×C4⋊C4C25116yes—
1075C22×C4⋊C4C25116yes—
1076C22×C4⋊C4C25116yes—
1077C22×C4⋊C4C25116yes—
1078C22×C4⋊C4C25116yes—
1079C22×C4⋊C4C25116yes—
1080C22×C22⋊C4C22×D4196yes—
1081C22×C22⋊C4C22×D4196yes—
1082C22×C22⋊C4C22×D4196yes—
1083C22×C22⋊C4C22×D4196yes—
1084C22×C22⋊C4C22×D4196yes—
1085C22×C22⋊C4C22×D4196yescomplemented
1086C22×C22⋊C4C22×D4196yescomplemented
1087C22×C22⋊C4C22×D4196yescomplemented
1088C22×C22⋊C4C22×D4196yescomplemented
1089C22×C22⋊C4C25116yes—
1090C22×C22⋊C4C25116yes—
1091C22×C22⋊C4C25116yes—
1092C22×C22⋊C4C25116yes—
1093C22×C22⋊C4C25116yes—
1094C22×C22⋊C4C25116yes—
1095C22×C22⋊C4C25116yes—
1096C22×C22⋊C4C25116yes—
1097C22×C22⋊C4C25116yes—
1098C22×C22⋊C4C25116yes—
1099C22×C22⋊C4C25116yes—
1100C22×C22⋊C4C25116yes—
1101C22×C22⋊C4C25116yes—
1102C22×C22⋊C4C25116yes—
1103C22×C22⋊C4C25116yes—
1104C22×C22⋊C4C25116yes—
1105C22×C22⋊C4C25116yes—
1106C22×C22⋊C4C25116yes—
1107C22×C22⋊C4C25116yes—
1108C22×C22⋊C4C25116yes—
1109C22×C22⋊C4C25116yes—
1110C22×C22⋊C4C25116yes—
1111C22×C22⋊C4C25116yes—
1112C22×C22⋊C4C25116yes—
1113C22×C22⋊C4C25116yes—
1114C22×C22⋊C4C25116yes—
1115C22×C22⋊C4C25116yes—
1116C22×C22⋊C4C25116yes—
1117C22×C22⋊C4C25116yes—
1118C22×C22⋊C4C25116yes—
1119C22×C22⋊C4C25116yes—
1120C22×C22⋊C4C25116yes—
1121C22×C22⋊C4C25116yes—
1122C22×C22⋊C4C25116yes—
1123C22×C22⋊C4C25116yes—
1124C22×C22⋊C4C25116yes—
1125C22×C22⋊C4C25116yes—
1126C22×C22⋊C4C25116yes—
1127C22×C22⋊C4C25116yes—
1128C22×C22⋊C4C25116yes—
1129C22×C22⋊C4C25116yes—
1130C22×C22⋊C4C25116yes—
1131C22×C22⋊C4C25116yes—
1132C22×C22⋊C4C25116yes—
1133C22×C22⋊C4C25116yes—
1134C22×C22⋊C4C25116yes—
1135C22×C22⋊C4C25116yes—
1136C22×C22⋊C4C25116yes—
1137C22×C22⋊C4C25116yes—
1138C22×C22⋊C4C25116yes—
1139C22×C22⋊C4C25116yes—
1140C22×C22⋊C4C25116yes—
1141C22×C22⋊C4C25116yes—
1142C22×C22⋊C4C25116yes—
1143C22×C22⋊C4C25116yes—
1144C22×C22⋊C4C25116yes—
1145C22×C22⋊C4C25116yes—
1146C22×C22⋊C4C25116yes—
1147C22×C22⋊C4C25116yes—
1148C22×C22⋊C4C25116yes—
1149C22×C22⋊C4C25116yes—
1150C22×C22⋊C4C25116yes—
1151C22×C22⋊C4C25116yes—
1152C22×C22⋊C4C25116yes—
1153C22×C22⋊C4C25116yes—
1154C22×C22⋊C4C25116yes—
1155C22×C42C25116yes—
1156C22×C42C25116yes—
1157C22×C42C25116yes—
1158#394C22×D41512yescomplemented
1159C2×#95C22×D4196yescomplemented
1160C2×#95C25116yes—
1161C2×#95C25116yes—
1162C2×#95C25116yes—
1163C2×#95C25116yes—
1164C2×#95C25116yes—
1165C2×#95C25116yes—
1166C2×#95C25116yes—
1167C2×#95C25116yes—
1168C2×#95C25116yes—
1169C2×#95C25116yes—
1170C2×#95C25116yes—
1171C2×#95C25116yes—
1172C2×#95C25116yes—
1173C2×#95C25116yes—
1174C2×#95C25116yes—
1175C2×#95C25116yes—
1176C2×#95C25116yes—
1177C2×#95C25116yes—
1178C2×#95C25116yes—
1179C2×#95C25116yes—
1180C2×#95C25116yes—
1181C2×#95C25116yes—
1182C2×#95C25116yes—
1183C2×#95C25116yes—
1184C2×#95C25116yes—
1185C2×#95C25116yes—
1186C2×#95C25116yes—
1187C2×#95C25116yes—
1188C2×#95C25116yes—
1189C2×#95C25116yes—
1190C2×#95C25116yes—
1191C2×#95C25116yes—
1192C2×#95C25116yes—
1193C2×#95C25116yes—
1194C2×#95C25116yes—
1195C2×#95C25116yes—
1196C25C2×#120164yes—
1197C25C2×#120164yes—
1198C25#534164yes—
1199C25D42164yes—
1200C25D42164yes—
1201C25C23×D4124yes—
1202C25C23×D4124yes—
1203C25C23×D4124yes—
1204C25C23×D4124yes—
1205C25C23×D4124yes—
1206C25C23×D4124yes—
1207C25C23×D4124yes—
1208C25C23×D4124yes—
1209C25C23×D4124yes—
1210C25C23×D4124yes—
1211C25C23×D4124yes—
1212C25C23×D4124yes—
1213C25C23×D4124yes—
1214C25C23×D4124yes—
1215C25C23×D4164yes—
1216C25C23×D4164yes—
1217C25C23×D4164yes—
1218C25C23×D414yes—
1219C25C23×D414yes—
1220C25C23×D414yes—
1221C25C23×D414yes—
1222C25C2×H(5,𝔽2)124yes—
1223C25C2×H(5,𝔽2)124yes—
1224C25C2×H(5,𝔽2)124yes—
1225C25C2×H(5,𝔽2)124yes—
1226C25C2×H(5,𝔽2)14yes—
1227C25C2×H(5,𝔽2)14yes—
1228C25C2×H(5,𝔽2)14yes—
1229C25C2×H(5,𝔽2)14yes—
1230C25C2×H(5,𝔽2)14yes—
1231C25C2×H(5,𝔽2)14yes—
1232C25C2×H(5,𝔽2)14yes—
1233C25C2×H(5,𝔽2)14yes—
1234C25C2×H(5,𝔽2)14yes—
1235C25C2×H(5,𝔽2)14yes—
1236C25#58514yes—
1237C25C2614yes—
1238C25C2614yes—
1239C25C2614yes—
1240C25C2614yes—
1241C25C2614yes—
1242C25C2614yes—
1243C25C2614yes—
1244C25C2614yes—
1245C25C2614yes—
1246C25C2614yes—
1247C25C2613yes—
1248C22×D4C2×#1201768yescomplemented
1249C22×D4C23×D4164yes—
1250C22×D4C23×D4164yes—
1251C22×D4C23×D4164yes—
1252C22×D4C23×D4164yes—
1253C22×D4C23×D4164yes—
1254C22×D4C23×D4164yes—
1255C22×D4C23×D4164yes—
1256C22×D4C23×D4164yes—
1257C22×D4C23×D4164yes—
1258C22×D4C23×D4164yes—
1259C22×D4C23×D4164yes—
1260C23×C4C2×#120164yes—
1261C23×C4#534164yes—
1262C23×C4D42164yes—
1263C23×C4C23×D4124yes—
1264C23×C4C23×D4124yes—
1265C23×C4C23×D4124yes—
1266C23×C4C23×D4124yes—
1267C23×C4C23×D4124yes—
1268C23×C4C23×D4124yes—
1269C23×C4C23×D4124yes—
1270C23×C4C23×D4124yes—
1271C23×C4C23×D4164yes—
1272C23×C4C23×D4164yes—
1273C23×C4C23×D4124yes—
1274C23×C4C23×D4124yes—
1275C23×C4C23×D4124yes—
1276C23×C4C23×D4124yes—
1277C23×C4C23×D4124yes—
1278C23×C4C23×D4124yes—
1279C23×C4C2×H(5,𝔽2)124yes—
1280C23×C4C2×H(5,𝔽2)124yes—
1281C23×C4C2×H(5,𝔽2)124yes—
1282C23×C4C2×H(5,𝔽2)124yes—
1283C23×C4C2×H(5,𝔽2)124yes—
1284C23×C4C2×H(5,𝔽2)124yes—
1285C23×C4C2614yes—
1286C23×C4C2614yes—
1287C23×C4C2614yes—
1288C23×C4C2614yes—
1289C23×C4C2614yes—
1290C23×C4C2614yes—
1291C23×C4C2614yes—
1292C23×C4C2614yes—
1293C23×C4C2614yes—
1294C23×C4C2614yes—
1295C23×C4C2614yes—
1296C23×C4C2614yes—
1297C23×C4C2614yes—
1298C23×C4C2614yes—
1299C23×C4C2614yes—
1300C23×C4C2614yes—
1301C23×C4C2614yes—
1302C23×C4C2614yes—
1303C23×C4C2614yes—
1304C23×C4C2614yes—
1305C23×C4C2614yes—
1306C2×C4⋊C4C23×D4164yes—
1307C2×C4⋊C4C23×D4164yescomplemented
1308C2×C22⋊C4C23×D4164yes—
1309C2×C22⋊C4C23×D4164yes—
1310C2×C22⋊C4C23×D4164yes—
1311C2×C22⋊C4C23×D4164yes—
1312C2×C22⋊C4C23×D4164yes—
1313C2×C22⋊C4C23×D4164yescomplemented
1314C2×C22⋊C4C23×D4164yescomplemented
1315C2×C22⋊C4C23×D4164yescomplemented
1316C2×C22⋊C4C23×D4164yescomplemented
1317#95C23×D4164yescomplemented
1318C24C22×#120196yes—
1319C24C22×#120196yes—
1320C24C22×#120116yes—
1321C24C2×#534196yes—
1322C24C2×#534116yes—
1323C24C2×#534116yes—
1324C24C2×D42196yes—
1325C24C2×D42196yes—
1326C24C2×D42116yes—
1327C24C2×D42116yes—
1328C24C2×D42116yes—
1329C24#3484116yes—
1330C24#3484116yes—
1331C24#3484116yes—
1332C24#3484116yes—
1333C24#3484116yes—
1334C24#3484116yes—
1335C24#3484116yes—
1336C24#3484116yes—
1337C24#3484116yes—
1338C24#3484116yes—
1339C24#3488116yes—
1340C24#3488116yes—
1341C24#3496116yes—
1342C24#3496116yes—
1343C24#3498116yes—
1344C24#3498116yes—
1345C24#3498116yes—
1346C24#3532116yes—
1347C24#3534116yes—
1348C24#3537116yes—
1349C24#3537116yes—
1350C24#3537116yes—
1351C24#3537116yes—
1352C24#3542116yes—
1353C24#3543116yes—
1354C24#3543116yes—
1355C24#3543116yes—
1356C24#3546116yes—
1357C24#3549116yes—
1358C24C24×D418yes—
1359C24C24×D418yes—
1360C24C24×D418yes—
1361C24C24×D418yes—
1362C24C24×D418yes—
1363C24C24×D418yes—
1364C24C24×D418yes—
1365C24C24×D418yes—
1366C24C24×D418yes—
1367C24C24×D418yes—
1368C24C24×D418yes—
1369C24C24×D418yes—
1370C24C24×D418yes—
1371C24C24×D418yes—
1372C24C24×D416yes—
1373C24C24×D416yes—
1374C24C24×D416yes—
1375C24C24×D416yes—
1376C24C22×H(5,𝔽2)18yes—
1377C24C22×H(5,𝔽2)18yes—
1378C24C22×H(5,𝔽2)18yes—
1379C24C22×H(5,𝔽2)18yes—
1380C24C22×H(5,𝔽2)16yes—
1381C24C22×H(5,𝔽2)16yes—
1382C24C22×H(5,𝔽2)16yes—
1383C24C22×H(5,𝔽2)16yes—
1384C24C22×H(5,𝔽2)16yes—
1385C24C22×H(5,𝔽2)16yes—
1386C24C22×H(5,𝔽2)16yes—
1387C24C22×H(5,𝔽2)16yes—
1388C24C22×H(5,𝔽2)16yes—
1389C24C22×H(5,𝔽2)16yes—
1390C24C2×#58516yes—
1391C24C2711yescharacteristic
1392C2×D4C22×#1201256yescomplemented
1393C22×C4C22×#120196yes—
1394C22×C4C2×#534196yes—
1395C22×C4C2×D42196yes—
1396C22×C4C24×D418yes—
1397C22×C4C24×D418yes—
1398C22×C4C24×D418yes—
1399C22×C4C24×D418yes—
1400C22×C4C24×D418yes—
1401C22×C4C24×D418yes—
1402C22×C4C24×D418yes—
1403C22×C4C24×D418yes—
1404C22×C4C24×D418yes—
1405C22×C4C24×D418yes—
1406C22×C4C24×D418yes—
1407C22×C4C24×D418yes—
1408C22×C4C24×D418yes—
1409C22×C4C24×D418yes—
1410C22×C4C22×H(5,𝔽2)18yes—
1411C22×C4C22×H(5,𝔽2)18yes—
1412C22×C4C22×H(5,𝔽2)18yes—
1413C22×C4C22×H(5,𝔽2)18yes—
1414C22×C4C22×H(5,𝔽2)18yes—
1415C22×C4C22×H(5,𝔽2)18yes—
1416C23#34980164yes—
1417C23#35680164yes—
1418C23D4×#120164yes—
1419C23#37672164yes—
1420C23#39336164yes—
1421C23#40584164yes—
1422C23#42420164yes—
1423C23#43001164yes—
1424C23#43886164yes—
1425C23#44870164yes—
1426C23#44927164yes—
1427C23#47928164yes—
1428C23#47942164yes—
1429C23#49545164yes—
1430C23#49554164yes—
1431C23C23×#120116yes—
1432C23C23×#120116yes—
1433C23C23×#120112yes—
1434C23C22×#534116yes—
1435C23C22×#534112yes—
1436C23C22×#534112yes—
1437C23C22×D42116yes—
1438C23C22×D42116yes—
1439C23C22×D42112yes—
1440C23C22×D42112yes—
1441C23C22×D42112yes—
1442C23C2×#3532112yes—
1443C23C2×#3542112yes—
1444C23C2×#3534112yes—
1445C23C2×#3537112yes—
1446C23C2×#3537112yes—
1447C23C2×#3537112yes—
1448C23C2×#3537112yes—
1449C23C2×#3543112yes—
1450C23C2×#3543112yes—
1451C23C2×#3543112yes—
1452C23C2×#3546112yes—
1453C23C2×#3549112yes—
1454C23C2×#3484112yes—
1455C23C2×#3484112yes—
1456C23C2×#3484112yes—
1457C23C2×#3484112yes—
1458C23C2×#3484112yes—
1459C23C2×#3484112yes—
1460C23C2×#3484112yes—
1461C23C2×#3484112yes—
1462C23C2×#3484112yes—
1463C23C2×#3484112yes—
1464C23C2×#3496112yes—
1465C23C2×#3496112yes—
1466C23C2×#3488112yes—
1467C23C2×#3488112yes—
1468C23C2×#3498112yes—
1469C23C2×#3498112yes—
1470C23C2×#3498112yes—
1471C23C25×D411yescharacteristic
1472C23C25×D411yescharacteristic
1473C23C25×D411yescharacteristic
1474C23C25×D411yescharacteristic
1475C23C23×H(5,𝔽2)11yescharacteristic
1476C23C23×H(5,𝔽2)11yescharacteristic
1477C23C23×H(5,𝔽2)11yescharacteristic
1478C23C23×H(5,𝔽2)11yescharacteristic
1479C23C23×H(5,𝔽2)11yescharacteristic
1480C23C23×H(5,𝔽2)11yescharacteristic
1481C23C23×H(5,𝔽2)11yescharacteristic
1482C23C23×H(5,𝔽2)11yescharacteristic
1483C23C23×H(5,𝔽2)11yescharacteristic
1484C23C23×H(5,𝔽2)11yescharacteristic
1485C23C22×#58511yescharacteristic
1486C2×C4C23×#120116yes—
1487C2×C4C22×#534116yes—
1488C2×C4C22×D42116yes—
1489C22#12600501256yesdirect product factor
1490C22C2×#34980124yes—
1491C22C2×#35680124yes—
1492C22C2×D4×#120124yes—
1493C22C2×#37672124yes—
1494C22C2×#39336124yes—
1495C22C2×#40584124yes—
1496C22C2×#42420124yes—
1497C22C2×#43001124yes—
1498C22C2×#43886124yes—
1499C22C2×#44927124yes—
1500C22C2×#44870124yes—
1501C22C2×#47928124yes—
1502C22C2×#47942124yes—
1503C22C2×#49545124yes—
1504C22C2×#49554124yes—
1505C22C24×#12011yescharacteristic
1506C22C23×#53411yescharacteristic
1507C22C23×#53411yescharacteristic
1508C22C23×D4211yescharacteristic
1509C22C23×D4211yescharacteristic
1510C22C23×D4211yescharacteristic
1511C22C22×#348411yescharacteristic
1512C22C22×#348411yescharacteristic
1513C22C22×#348411yescharacteristic
1514C22C22×#348411yescharacteristic
1515C22C22×#348411yescharacteristic
1516C22C22×#348411yescharacteristic
1517C22C22×#348411yescharacteristic
1518C22C22×#348411yescharacteristic
1519C22C22×#348411yescharacteristic
1520C22C22×#348411yescharacteristic
1521C22C22×#349611yescharacteristic
1522C22C22×#349611yescharacteristic
1523C22C22×#348811yescharacteristic
1524C22C22×#348811yescharacteristic
1525C22C22×#349811yescharacteristic
1526C22C22×#349811yescharacteristic
1527C22C22×#349811yescharacteristic
1528C22C22×#353211yescharacteristic
1529C22C22×#354211yescharacteristic
1530C22C22×#353411yescharacteristic
1531C22C22×#353711yescharacteristic
1532C22C22×#353711yescharacteristic
1533C22C22×#353711yescharacteristic
1534C22C22×#353711yescharacteristic
1535C22C22×#354311yescharacteristic
1536C22C22×#354311yescharacteristic
1537C22C22×#354311yescharacteristic
1538C22C22×#354611yescharacteristic
1539C22C22×#354911yescharacteristic
1540C2C22×#3568011yescharacteristic
1541C2C22×D4×#12011yescharacteristic
1542C2C22×#3498011yescharacteristic
1543C2C22×#4300111yescharacteristic
1544C2C22×#4794211yescharacteristic
1545C2C22×#4487011yescharacteristic
1546C2C22×#3767211yescharacteristic
1547C2C22×#3933611yescharacteristic
1548C2C22×#4388611yescharacteristic
1549C2C22×#4954511yescharacteristic
1550C2C22×#4058411yescharacteristic
1551C2C22×#4492711yescharacteristic
1552C2C22×#4242011yescharacteristic
1553C2C22×#4955411yescharacteristic
1554C2C22×#4792811yescharacteristic
1555C2C2×#1260050148yesdirect product factor
subgroupG/H
center, socleC26C25
commutator, Frattini, cosocleC24C27
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#14173C2semidirect
2. C22×#15338C2semidirect
3. C22×#14996C2semidirect
4. C22×#14721C2semidirect
5. C22×#15281C2semidirect
6. C2×#1260050C2direct (N × H)
7. C22×#14730C2semidirect
8. C22×#14363C2semidirect
9. C23×#2673C2semidirect
10. C22×#15278C2semidirect
11. C22×#15310C2semidirect
12. C22×#15310C2semidirect
13. C22×#15310C2semidirect
14. C22×#16252C2semidirect
15. C22×#15273C2semidirect
16. C22×#14722C2semidirect
17. C22×#16249C2semidirect
18. C22×#16249C2semidirect
19. C22×#16249C2semidirect
20. C23×#2613C2semidirect
21. C23×#2669C2semidirect
22. C22×#15258C2semidirect
23. C23×#2433C2semidirect
24. C23×#2410C2semidirect
25. C22×#14716C2semidirect
26. C22×#14357C2semidirect
27. C22×#13867C2semidirect
28. C22×#14715C2semidirect
29. C22×#14715C2semidirect
30. C22×#14715C2semidirect
31. C22×#14715C2semidirect
32. C24×D42C2semidirect
37. C23×D42C22semidirect
39. C24×#127C22semidirect
40. C24×#127C22semidirect
41. C24×#123C22semidirect
46. C24×#121C22semidirect
47. C24×#121C22semidirect
48. C24×#121C22semidirect
49. C24×#121C22semidirect
54. C24×#120C22semidirect
55. C24×#120C22semidirect
56. C24×#120C22semidirect
57. C24×#120C22semidirect
58. C24×#120C22semidirect
59. C24×#120C22semidirect
60. C24×#120C22semidirect
61. C24×#120C22semidirect
64. C25×C22⋊C4C22semidirect
65. C22×#2673C22semidirect
66. C22×#2669C22semidirect
67. C22×#2433C22semidirect
68. C22×#2410C22semidirect
69. C22×#2613C22semidirect
71. C23×#394C22semidirect
72. C23×#394C22semidirect
73. C23×#394C22semidirect
74. C23×#394C22semidirect
75. C23×#394C22semidirect
76. C23×#394C22semidirect
77. C23×#394C22semidirect
78. C23×#394C22semidirect
79. C23×#394C22semidirect
84. C23×#392C22semidirect
85. C23×#392C22semidirect
86. C23×#392C22semidirect
87. C23×#392C22semidirect
88. C23×#392C22semidirect
89. C23×#392C22semidirect
90. C23×#392C22semidirect
91. C23×#392C22semidirect
92. C23×#392C22semidirect
93. C23×#392C22semidirect
94. C23×#392C22semidirect
95. C23×#392C22semidirect
96. C23×#392C22semidirect
97. C23×#392C22semidirect
98. C23×#392C22semidirect
99. C23×#392C22semidirect
100. C23×#392C22semidirect
101. C23×#392C22semidirect
102. C23×#392C22semidirect
103. C23×#392C22semidirect
104. C23×#392C22semidirect
105. C23×#392C22semidirect
106. C23×#392C22semidirect
107. C23×#392C22semidirect
108. C23×#390C22semidirect
109. C23×#390C22semidirect
110. C23×#388C22semidirect
111. C23×#388C22semidirect
112. C23×#388C22semidirect
113. C23×#387C22semidirect
114. C23×#386C22semidirect
115. C23×#386C22semidirect
116. C23×#386C22semidirect
117. C23×#386C22semidirect
118. C23×#386C22semidirect
119. C23×#386C22semidirect
120. C23×#386C22semidirect
121. C23×#386C22semidirect
122. C23×#386C22semidirect
123. C23×#386C22semidirect
124. C23×#386C22semidirect
125. C23×#386C22semidirect
126. C23×#386C22semidirect
127. C23×#385C22semidirect
128. C23×#381C22semidirect
129. C23×#379C22semidirect
130. C23×#379C22semidirect
131. C23×#379C22semidirect
132. C23×#379C22semidirect
133. C23×#379C22semidirect
134. C23×#379C22semidirect
135. C23×#379C22semidirect
136. C23×C4×C22⋊C4C22semidirect
137. #1260050C22direct (N × H)
138. C2×#16252C22semidirect
139. C2×#16249C22semidirect
140. C2×#16249C22semidirect
141. C2×#16249C22semidirect
142. C2×#15338C22semidirect
143. C2×#15310C22semidirect
144. C2×#15310C22semidirect
145. C2×#15310C22semidirect
146. C2×#15281C22semidirect
147. C2×#15278C22semidirect
148. C2×#15273C22semidirect
149. C2×#15258C22semidirect
150. C2×#14996C22semidirect
151. C2×#14730C22semidirect
152. C2×#14722C22semidirect
153. C2×#14721C22semidirect
154. C2×#14716C22semidirect
155. C2×#14715C22semidirect
156. C2×#14715C22semidirect
157. C2×#14715C22semidirect
158. C2×#14715C22semidirect
159. C2×#14363C22semidirect
160. C2×#14357C22semidirect
161. C2×#14173C22semidirect
162. C2×#13867C22semidirect
163. C22×#1444C22semidirect
164. C22×#1442C22semidirect
165. C22×#1441C22semidirect
166. C22×#1440C22semidirect
167. C22×#1440C22semidirect
168. C22×#1440C22semidirect
169. C22×#1440C22semidirect
170. C22×#1440C22semidirect
171. C22×#1439C22semidirect
172. C22×#1439C22semidirect
173. C22×#1439C22semidirect
174. C22×#1439C22semidirect
175. C22×#1439C22semidirect
176. C22×#1439C22semidirect
177. C22×#1439C22semidirect
178. C22×#1439C22semidirect
179. C22×#1439C22semidirect
183. C22×#1438C22semidirect
184. C22×#1438C22semidirect
185. C22×#1438C22semidirect
186. C22×#1438C22semidirect
187. C22×#1438C22semidirect
188. C22×#1438C22semidirect
189. C22×#1438C22semidirect
190. C22×#1438C22semidirect
191. C22×#1438C22semidirect
192. C22×#1438C22semidirect
193. C22×#1438C22semidirect
194. C22×#1438C22semidirect
195. C22×#1438C22semidirect
196. C22×#1438C22semidirect
197. C22×#1438C22semidirect
198. C22×#1438C22semidirect
199. C22×#1438C22semidirect
200. C22×#1438C22semidirect
201. C22×#1438C22semidirect
202. C22×#1438C22semidirect
203. C22×#1438C22semidirect
204. C22×#1438C22semidirect
205. C22×#1437C22semidirect
206. C22×#1437C22semidirect
207. C22×#1437C22semidirect
208. C22×#1437C22semidirect
209. C22×#1437C22semidirect
210. C22×#1436C22semidirect
211. C22×#1436C22semidirect
212. C22×#1436C22semidirect
213. C22×C22⋊#95C22semidirect
214. C22×C22⋊#95C22semidirect
215. C22×C22⋊#95C22semidirect
216. C22×C22⋊#95C22semidirect
217. C22×C22⋊#95C22semidirect
218. C22×C22⋊#95C22semidirect
219. C22×C22⋊#95C22semidirect
224. C25×D4D4semidirect
268. C22×D42C23semidirect
270. C23×#127C23semidirect
271. C23×#127C23semidirect
272. C23×#123C23semidirect
273. C23×#121D4semidirect
278. C23×#121C23semidirect
279. C23×#121C23semidirect
280. C23×#121C23semidirect
281. C23×#121C23semidirect
282. C23×#120D4semidirect
287. C23×#120C23semidirect
288. C23×#120C23semidirect
289. C23×#120C23semidirect
290. C23×#120C23semidirect
291. C23×#120C23semidirect
292. C23×#120C23semidirect
293. C23×#120C23semidirect
294. C23×#120C23semidirect
370. C24×C22⋊C4C23semidirect
374. C2×#2673C23semidirect
375. C2×#2669C23semidirect
376. C2×#2433C23semidirect
377. C2×#2410C23semidirect
378. C2×#2613C23semidirect
379. C22×#394D4semidirect
381. C22×#394C23semidirect
382. C22×#394C23semidirect
383. C22×#394C23semidirect
384. C22×#394C23semidirect
385. C22×#394C23semidirect
386. C22×#394C23semidirect
387. C22×#394C23semidirect
388. C22×#394C23semidirect
389. C22×#394C23semidirect
394. C22×#392C23semidirect
395. C22×#392C23semidirect
396. C22×#392C23semidirect
397. C22×#392C23semidirect
398. C22×#392C23semidirect
399. C22×#392C23semidirect
400. C22×#392C23semidirect
401. C22×#392C23semidirect
402. C22×#392C23semidirect
403. C22×#392C23semidirect
404. C22×#392C23semidirect
405. C22×#392C23semidirect
406. C22×#392C23semidirect
407. C22×#392C23semidirect
408. C22×#392C23semidirect
409. C22×#392C23semidirect
410. C22×#392C23semidirect
411. C22×#392C23semidirect
412. C22×#392C23semidirect
413. C22×#392C23semidirect
414. C22×#392C23semidirect
415. C22×#392C23semidirect
416. C22×#392C23semidirect
417. C22×#392C23semidirect
418. C22×#390C23semidirect
419. C22×#390C23semidirect
420. C22×#388C23semidirect
421. C22×#388C23semidirect
422. C22×#388C23semidirect
423. C22×#387C23semidirect
424. C22×#386C23semidirect
425. C22×#386C23semidirect
426. C22×#386C23semidirect
427. C22×#386C23semidirect
428. C22×#386C23semidirect
429. C22×#386C23semidirect
430. C22×#386C23semidirect
431. C22×#386C23semidirect
432. C22×#386C23semidirect
433. C22×#386C23semidirect
434. C22×#386C23semidirect
435. C22×#386C23semidirect
436. C22×#386C23semidirect
437. C22×#385C23semidirect
438. C22×#381C23semidirect
439. C22×#379C23semidirect
440. C22×#379C23semidirect
441. C22×#379C23semidirect
442. C22×#379C23semidirect
443. C22×#379C23semidirect
444. C22×#379C23semidirect
445. C22×#379C23semidirect
446. C22×C4×C22⋊C4C23semidirect
483. #16252C23semidirect
484. #16249C23semidirect
485. #16249C23semidirect
486. #16249C23semidirect
487. #15338C23semidirect
488. #15310C23semidirect
489. #15310C23semidirect
490. #15310C23semidirect
491. #15281C23semidirect
492. #15278C23semidirect
493. #15273C23semidirect
494. #15258C23semidirect
495. #14996C23semidirect
496. #14730C23semidirect
497. #14722C23semidirect
498. #14721C23semidirect
499. #14716C23semidirect
500. #14715C23semidirect
501. #14715C23semidirect
502. #14715C23semidirect
503. #14715C23semidirect
504. #14363C23semidirect
505. #14357C23semidirect
506. #14173C23semidirect
507. #13867C23semidirect
508. C2×#1444C23semidirect
509. C2×#1442C23semidirect
510. C2×#1441C23semidirect
511. C2×#1440C23semidirect
512. C2×#1440C23semidirect
513. C2×#1440C23semidirect
514. C2×#1440C23semidirect
515. C2×#1440C23semidirect
516. C2×#1439C23semidirect
517. C2×#1439C23semidirect
518. C2×#1439C23semidirect
519. C2×#1439C23semidirect
520. C2×#1439C23semidirect
521. C2×#1439C23semidirect
522. C2×#1439C23semidirect
523. C2×#1439C23semidirect
524. C2×#1439C23semidirect
528. C2×#1438C23semidirect
529. C2×#1438C23semidirect
530. C2×#1438C23semidirect
531. C2×#1438C23semidirect
532. C2×#1438C23semidirect
533. C2×#1438C23semidirect
534. C2×#1438C23semidirect
535. C2×#1438C23semidirect
536. C2×#1438C23semidirect
537. C2×#1438C23semidirect
538. C2×#1438C23semidirect
539. C2×#1438C23semidirect
540. C2×#1438C23semidirect
541. C2×#1438C23semidirect
542. C2×#1438C23semidirect
543. C2×#1438C23semidirect
544. C2×#1438C23semidirect
545. C2×#1438C23semidirect
546. C2×#1438C23semidirect
547. C2×#1438C23semidirect
548. C2×#1438C23semidirect
549. C2×#1438C23semidirect
550. C2×#1437C23semidirect
551. C2×#1437C23semidirect
552. C2×#1437C23semidirect
553. C2×#1437C23semidirect
554. C2×#1437C23semidirect
555. C2×#1436C23semidirect
556. C2×#1436C23semidirect
557. C2×#1436C23semidirect
558. C2×C22⋊#95C23semidirect
559. C2×C22⋊#95C23semidirect
560. C2×C22⋊#95C23semidirect
561. C2×C22⋊#95C23semidirect
562. C2×C22⋊#95C23semidirect
563. C2×C22⋊#95C23semidirect
564. C2×C22⋊#95C23semidirect
593. C24×D4C2×D4semidirect
661. C22×#127C24semidirect
662. C22×#127C24semidirect
663. C22×#123C24semidirect
664. C22×#121C2×D4semidirect
669. C22×#121C24semidirect
670. C22×#121C24semidirect
671. C22×#121C24semidirect
672. C22×#121C24semidirect
673. C22×#120C2×D4semidirect
678. C22×#120C24semidirect
679. C22×#120C24semidirect
680. C22×#120C24semidirect
681. C22×#120C24semidirect
682. C22×#120C24semidirect
683. C22×#120C24semidirect
684. C22×#120C24semidirect
685. C22×#120C24semidirect
689. C23×C4⋊C4C2×D4semidirect
702. C23×C22⋊C4C2×D4semidirect
703. C23×C22⋊C4C2×D4semidirect
704. C23×C22⋊C4C2×D4semidirect
705. C23×C22⋊C4C2×D4semidirect
772. C23×C22⋊C4C24semidirect
776. C2×#394C2×D4semidirect
778. C2×#394C24semidirect
779. C2×#394C24semidirect
780. C2×#394C24semidirect
781. C2×#394C24semidirect
782. C2×#394C24semidirect
783. C2×#394C24semidirect
784. C2×#394C24semidirect
785. C2×#394C24semidirect
786. C2×#394C24semidirect
791. C2×#392C24semidirect
792. C2×#392C24semidirect
793. C2×#392C24semidirect
794. C2×#392C24semidirect
795. C2×#392C24semidirect
796. C2×#392C24semidirect
797. C2×#392C24semidirect
798. C2×#392C24semidirect
799. C2×#392C24semidirect
800. C2×#392C24semidirect
801. C2×#392C24semidirect
802. C2×#392C24semidirect
803. C2×#392C24semidirect
804. C2×#392C24semidirect
805. C2×#392C24semidirect
806. C2×#392C24semidirect
807. C2×#392C24semidirect
808. C2×#392C24semidirect
809. C2×#392C24semidirect
810. C2×#392C24semidirect
811. C2×#392C24semidirect
812. C2×#392C24semidirect
813. C2×#392C24semidirect
814. C2×#392C24semidirect
815. C2×#390C24semidirect
816. C2×#390C24semidirect
817. C2×#388C24semidirect
818. C2×#388C24semidirect
819. C2×#388C24semidirect
820. C2×#387C24semidirect
821. C2×#386C24semidirect
822. C2×#386C24semidirect
823. C2×#386C24semidirect
824. C2×#386C24semidirect
825. C2×#386C24semidirect
826. C2×#386C24semidirect
827. C2×#386C24semidirect
828. C2×#386C24semidirect
829. C2×#386C24semidirect
830. C2×#386C24semidirect
831. C2×#386C24semidirect
832. C2×#386C24semidirect
833. C2×#386C24semidirect
834. C2×#385C24semidirect
835. C2×#381C24semidirect
836. C2×#379C24semidirect
837. C2×#379C24semidirect
838. C2×#379C24semidirect
839. C2×#379C24semidirect
840. C2×#379C24semidirect
841. C2×#379C24semidirect
842. C2×#379C24semidirect
843. C2×C4×C22⋊C4C24semidirect
844. C22×#95C2×D4semidirect
881. #1444C24semidirect
882. #1442C24semidirect
883. #1441C24semidirect
884. #1440C24semidirect
885. #1440C24semidirect
886. #1440C24semidirect
887. #1440C24semidirect
888. #1440C24semidirect
889. #1439C24semidirect
890. #1439C24semidirect
891. #1439C24semidirect
892. #1439C24semidirect
893. #1439C24semidirect
894. #1439C24semidirect
895. #1439C24semidirect
896. #1439C24semidirect
897. #1439C24semidirect
901. #1438C24semidirect
902. #1438C24semidirect
903. #1438C24semidirect
904. #1438C24semidirect
905. #1438C24semidirect
906. #1438C24semidirect
907. #1438C24semidirect
908. #1438C24semidirect
909. #1438C24semidirect
910. #1438C24semidirect
911. #1438C24semidirect
912. #1438C24semidirect
913. #1438C24semidirect
914. #1438C24semidirect
915. #1438C24semidirect
916. #1438C24semidirect
917. #1438C24semidirect
918. #1438C24semidirect
919. #1438C24semidirect
920. #1438C24semidirect
921. #1438C24semidirect
922. #1438C24semidirect
923. #1437C24semidirect
924. #1437C24semidirect
925. #1437C24semidirect
926. #1437C24semidirect
927. #1437C24semidirect
928. #1436C24semidirect
929. #1436C24semidirect
930. #1436C24semidirect
931. C22⋊#95C24semidirect
932. C22⋊#95C24semidirect
933. C22⋊#95C24semidirect
934. C22⋊#95C24semidirect
935. C22⋊#95C24semidirect
936. C22⋊#95C24semidirect
937. C22⋊#95C24semidirect
974. C23×D4#120semidirect
986. C23×D4C22×D4semidirect
1069. C2×#121C22×D4semidirect
1070. C2×#120C22×D4semidirect
1072. C22×C4⋊C4C22×D4semidirect
1085. C22×C22⋊C4C22×D4semidirect
1086. C22×C22⋊C4C22×D4semidirect
1087. C22×C22⋊C4C22×D4semidirect
1088. C22×C22⋊C4C22×D4semidirect
1158. #394C22×D4semidirect
1159. C2×#95C22×D4semidirect
1248. C22×D4C2×#120semidirect
1307. C2×C4⋊C4C23×D4semidirect
1313. C2×C22⋊C4C23×D4semidirect
1314. C2×C22⋊C4C23×D4semidirect
1315. C2×C22⋊C4C23×D4semidirect
1316. C2×C22⋊C4C23×D4semidirect
1317. #95C23×D4semidirect
1392. C2×D4C22×#120semidirect
1489. C22#1260050direct (N × H)
1555. C2C2×#1260050direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#141732
C22×#153382
C22×#149962
C22×#147212
C22×#152812
C2×#12600502
C22×#147302
C22×#143632
C23×#26732
C22×#152782
C22×#153102
C22×#162522
C22×#152732
C22×#147222
C22×#162492
C23×#26132
C23×#26692
C22×#152582
C23×#24332
C23×#24102
C22×#147162
C22×#143572
C22×#138672
C22×#147152
C24×D422