Finite Group Databasebeta

← #72313348

Subgroups — #72313348

Order 2048.

Only the 41798 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1436 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72313148C211yesmaximal, characteristic, complemented
2#72313065C211yesmaximal, characteristic, complemented
3#72312868C2116yesmaximal, complemented
4#72312746C2116yesmaximal, complemented
5#72312651C2116yesmaximal, complemented
6#72312483C2116yesmaximal, complemented
7#72312361C2116yesmaximal, complemented
8#72303799C213yesmaximal, complemented
9#72303769C213yesmaximal, complemented
10#72303739C213yesmaximal, complemented
11#72303023C211yesmaximal, characteristic, complemented
12#72262985C211yesmaximal, characteristic, complemented
13#72257333C213yesmaximal, complemented
14C2×#10586999C211yesmaximal, characteristic, complemented
15C2×#6379185C213yesmaximal, complemented
16C2×#6628883C211yesmaximal, characteristic, complemented
17#72249494C213yesmaximal, complemented
18C2×#10574873C211yesmaximal, characteristic, complemented
19C2×#6438013C213yesmaximal, complemented
20C2×#6437576C213yesmaximal, complemented
21#72236873C2116yesmaximal, complemented
22C2×#63103C2211yescharacteristic, complemented
23C22×H(7,𝔽2)C2211yescharacteristic, complemented
24#10586999C22116yescomplemented
25#10586999C22116yescomplemented
26C2×#63092C2218yescomplemented
27C2×#63091C2218yescomplemented
28C2×#63090C2213yescomplemented
29C2×#63090C2213yescomplemented
30C22×#3585C2213yes—
31C22×#3585C2213yescomplemented
32C22×#3585C2211yescharacteristic, complemented
33C2×#63076C2211yescharacteristic, complemented
34#10586020C2213yescomplemented
35C2×#62842C2213yescomplemented
36#10576126C22124yescomplemented
37#10576125C22124yescomplemented
38#10576120C22124yescomplemented
39#10576119C22124yescomplemented
40#10576110C22124yescomplemented
41#10576108C22124yescomplemented
42#10575251C2213yescomplemented
43#10574956C2213yescomplemented
44C2×#60423C2213yescomplemented
45#10574916C2213yescomplemented
46#10574916C2213yescomplemented
47#10574884C2218yescomplemented
48C2×#60398C2211yescharacteristic
49C2×#60398C2211yescharacteristic, complemented
50C2×#60398C2211yescharacteristic, complemented
51C2×#60398C2213yescomplemented
52C2×#60398C2213yescomplemented
53C2×#60398C2213yescomplemented
54C2×#60398C2213yescomplemented
55#10574876C2218yescomplemented
56#10574875C2218yescomplemented
57#10574874C22116yescomplemented
58#10574873C22116yescomplemented
59#10574873C22116yescomplemented
60#10574873C2218yescomplemented
61C2×#60401C2218yescomplemented
62C2×#60399C2218yescomplemented
63#10574839C2213yescomplemented
64#10574839C2213yescomplemented
65C2×#60367C2213yescomplemented
66C2×#60367C2213yescomplemented
67C2×#60387C2213yescomplemented
68C2×#60387C2213yescomplemented
69#10574202C2213yescomplemented
70C2×#60168C2213yescomplemented
71C2×#60070C2213yescomplemented
72C22×#2883C2213yescomplemented
73#6629046C2218yescomplemented
74#6629046C2218yescomplemented
75#6629045C2218yescomplemented
76#6629045C2218yescomplemented
77#6629044C22116yescomplemented
78#6628886C2218yescomplemented
79#6628885C2218yescomplemented
80#6628884C2218yescomplemented
81#6628883C22116yescomplemented
82#6628883C22116yescomplemented
83#6628883C2218yescomplemented
84#6628882C22116yescomplemented
85C2×#32896C2218yescomplemented
86C2×#32894C2218yescomplemented
87#6573737C221128yescomplemented
88#6573736C221128yescomplemented
89#6573735C221128yescomplemented
90#6573735C221128yescomplemented
91#6573733C221128yescomplemented
92#6573732C221128yescomplemented
93#6573730C221128yescomplemented
94#6573729C221128yescomplemented
95#6443344C22124yescomplemented
96#6443344C22124yescomplemented
97#6443343C22124yescomplemented
98#6443343C22124yescomplemented
99#6443342C22148yescomplemented
100#6442739C22148yescomplemented
101#6442738C22148yescomplemented
102#6442737C22148yescomplemented
103#6438016C22124yescomplemented
104#6438015C22124yescomplemented
105#6438014C22124yescomplemented
106#6438013C22148yescomplemented
107#6438013C22148yescomplemented
108#6438013C22124yescomplemented
109#6438012C22148yescomplemented
110C2×#24409C22124yescomplemented
111C2×#24408C22124yescomplemented
112#6437579C22124yescomplemented
113#6437578C22124yescomplemented
114#6437577C22124yescomplemented
115#6437576C22148yescomplemented
116#6437576C22148yescomplemented
117#6437576C22124yescomplemented
118#6437575C22148yescomplemented
119C2×#23883C22124yescomplemented
120C2×#23882C22124yescomplemented
121C2×#23535C2216yescomplemented
122C2×#23414C2216yescomplemented
123C2×#23412C2216yescomplemented
124C2×#23412C2216yescomplemented
125#6379185C22148yescomplemented
126#6379185C22148yescomplemented
127C2×#22456C22124yescomplemented
128C2×#22455C22124yescomplemented
129#6372744C22116yescomplemented
130#6372743C22116yescomplemented
131#6372742C22116yescomplemented
132C2×#21244C2216yescomplemented
133C2×#21009C2213yescomplemented
134C2×#21009C2213yescomplemented
135C2×#20998C2216yescomplemented
136C22×#1904C2216yescomplemented
137C2×#20964C2213yescomplemented
138C2×#20892C2213yescomplemented
139C2×#20671C2213yescomplemented
140C2×#20623C2213yescomplemented
141C22×#1795C2213yescomplemented
142C2×#20620C2213yescomplemented
143C2×#20620C2213yescomplemented
144C2×#20612C2211yescharacteristic, complemented
145C2×#20401C2213yescomplemented
146#63103C2318yes—
147#63103C2318yescomplemented
148C2×2−1+6C2314yescomplemented
149C2×H(7,𝔽2)C2318yes—
150C2×H(7,𝔽2)C2318yes—
151C2×H(7,𝔽2)C2318yes—
152C2×H(7,𝔽2)C2314yescomplemented
153C22×#585C2313yes—
154C22×#585C2311yescharacteristic
155C22×#585C2313yes—
156C22×#585C2313yes—
157C22×#585C2311yescharacteristic, complemented
158C23×H(5,𝔽2)C2313yes—
159C23×H(5,𝔽2)C2311yescharacteristic, complemented
160#63092C231128yescomplemented
161#63091C231128yescomplemented
162#63090C23124yes—
163#63090C23124yes—
164#63090C23124yescomplemented
165#63090C23124yescomplemented
166C2×#3586C23112yescomplemented
167C2×#3585D4124yescomplemented
168C2×#3585D4124yescomplemented
169C2×#3585C23124yes—
170C2×#3585C23124yes—
171C2×#3585C23124yes—
172C2×#3585C23124yes—
173C2×#3585C23124yes—
174C2×#3585C23112yescomplemented
175C2×#3584C23124yescomplemented
176C22×#577D4112yescomplemented
177C22×#577C23112yes—
178C22×#577C2314yescomplemented
179C22×#577C2314yescomplemented
180C22×#576D4112yescomplemented
181C22×#576C23112yes—
182C22×#576C2314yescomplemented
183C22×#576C2314yescomplemented
184C22×#575D4112yescomplemented
185C22×#575C2313yes—
186C22×#575C2313yes—
187C22×#575C2316yes—
188C22×#575C2311yescharacteristic, complemented
189C22×#575C2311yescharacteristic, complemented
190C22×#575C2313yescomplemented
191C22×#575C2313yescomplemented
192C22×#575C2314yescomplemented
193C23×AGL(1,ℤ/8)D4112yescomplemented
194C23×AGL(1,ℤ/8)C2313yes—
195C23×AGL(1,ℤ/8)C2311yescharacteristic
196C23×AGL(1,ℤ/8)C2311yescharacteristic, complemented
197C23×AGL(1,ℤ/8)C2314yescomplemented
198#63076C2318yes—
199#63076C2318yescomplemented
200C2×#3573C2318yescomplemented
201C22×#568C2313yes—
202C22×#568C2313yes—
203C22×#568C2311yescharacteristic, complemented
204#62859C23112yescomplemented
205#62852C23112yescomplemented
206#62848C23112yescomplemented
207#62842C23124yescomplemented
208#62842C23124yescomplemented
209#62842C23112yescomplemented
210#62811C23124yescomplemented
211C2×#3485C23112yescomplemented
212C2×#3484C23112yescomplemented
213C2×#3449C2313yes—
214C2×#3449C2313yes—
215C2×#3449C2313yes—
216C2×#3449C2313yescomplemented
217C2×#3449C2313yescomplemented
218C2×#3449C2313yescomplemented
219C2×#3449C2313yescomplemented
220C2×#3428C2313yescomplemented
221C22×#518C2313yescomplemented
222#61060C23196yescomplemented
223#61059C23196yescomplemented
224#61058C23196yescomplemented
225#61058C23196yescomplemented
226#61052C23196yescomplemented
227#61051C23196yescomplemented
228#61050C23196yescomplemented
229#61049C23196yescomplemented
230#60645C23112yescomplemented
231#60645C23112yescomplemented
232#60644C23112yescomplemented
233#60644C23112yescomplemented
234#60643C23124yescomplemented
235#60455C23112yescomplemented
236#60455C23112yescomplemented
237#60454C23112yescomplemented
238#60454C23112yescomplemented
239#60453C23124yescomplemented
240#60450C23124yescomplemented
241#60450C23124yescomplemented
242#60444C23124yescomplemented
243#60427C23112yescomplemented
244#60426C23112yescomplemented
245#60424C23112yescomplemented
246#60423C23112yescomplemented
247#60423C23124yescomplemented
248#60423C23124yescomplemented
249#60422C23124yescomplemented
250C2×#3042C23112yescomplemented
251C2×#3041C23112yescomplemented
252#60402C23164yescomplemented
253#60401C231128yescomplemented
254#60401C23164yescomplemented
255#60400C23164yescomplemented
256#60399C231128yescomplemented
257#60399C23164yescomplemented
258#60398D418yes—
259#60398D418yes—
260#60398C2318yes—
261#60398C2318yes—
262#60398C2318yes—
263#60398C2318yes—
264#60398C2318yes—
265#60398C23124yescomplemented
266#60398C2318yescomplemented
267#60398C23124yescomplemented
268#60398C23124yescomplemented
269#60398C23124yescomplemented
270#60398C23124yescomplemented
271#60398C23124yescomplemented
272#60398C23124yescomplemented
273#60398C23124yescomplemented
274C2×#3028D414yes—
275C2×#3028C2314yes—
276C2×#3028C2314yescomplemented
277C2×#3028C23112yescomplemented
278C2×#3028C23112yescomplemented
279C2×#3027D414yes—
280C2×#3027C2314yes—
281C2×#3027C2314yescomplemented
282C2×#3027C23112yescomplemented
283C2×#3027C23112yescomplemented
284C2×#3026D418yes—
285C2×#3025C2318yes—
286C2×#3025C23124yescomplemented
287C2×#3025C23124yescomplemented
288#60387C23124yescomplemented
289#60387C23124yescomplemented
290#60387C23124yescomplemented
291#60387C23124yescomplemented
292C2×#3022C23112yescomplemented
293C2×#3022C23112yescomplemented
294C2×#3021C23112yescomplemented
295C2×#3021C23112yescomplemented
296#60370C23112yescomplemented
297#60369C23112yescomplemented
298#60368C23112yescomplemented
299#60368C23112yescomplemented
300#60368C23112yescomplemented
301#60367C23124yescomplemented
302#60367C23124yescomplemented
303#60367C23112yescomplemented
304#60367C23124yescomplemented
305#60367C23112yescomplemented
306#60367C23124yescomplemented
307#60367C23112yescomplemented
308#60366C23124yescomplemented
309C2×#3009C23112yescomplemented
310C2×#3008C23112yescomplemented
311#60359C23124yescomplemented
312C2×#3005C23112yescomplemented
313C2×#3003C23112yescomplemented
314#60168C23124yescomplemented
315#60168C23124yescomplemented
316C2×#2949C23112yescomplemented
317C2×#2948C23112yescomplemented
318#60142C23124yescomplemented
319#60141C23124yescomplemented
320#60140C23124yescomplemented
321C2×#2911C2313yescomplemented
322C2×#2905C2313yescomplemented
323C22×#421C2316yescomplemented
324C22×#421C2316yescomplemented
325C2×#2896C2313yescomplemented
326C2×#2896C2313yescomplemented
327C2×#2896C2313yescomplemented
328C2×#2896C2313yescomplemented
329C2×#2896C2313yescomplemented
330C22×#418C2313yescomplemented
331C22×#413C2313yes—
332#60070C23124yescomplemented
333#60070C23124yescomplemented
334C2×#2884C23112yescomplemented
335C2×#2883C23124yescomplemented
336C2×#2883C23124yescomplemented
337C2×#2883C23124yescomplemented
338C2×#2883C23112yescomplemented
339C22×#410C2313yes—
340C22×#410C2313yes—
341C22×#410C2313yes—
342C22×#410C2316yescomplemented
343C22×#410C2316yescomplemented
344C2×#2879C2313yes—
345C2×#2879C2313yescomplemented
346C2×#2873C2313yescomplemented
347#32949C23164yescomplemented
348#32948C23164yescomplemented
349#32947C23164yescomplemented
350#32947C23164yescomplemented
351#32897C23164yescomplemented
352#32896C231128yescomplemented
353#32896C23164yescomplemented
354#32895C23164yescomplemented
355#32894C231128yescomplemented
356#32894C23164yescomplemented
357#25800C231192yescomplemented
358#25799C231192yescomplemented
359#25798C231192yescomplemented
360#25798C231192yescomplemented
361#24411C231192yescomplemented
362#24410C231192yescomplemented
363#24409C231384yescomplemented
364#24409C231192yescomplemented
365#24408C231384yescomplemented
366#24408C231192yescomplemented
367#24286C231384yescomplemented
368#24285C231384yescomplemented
369#23885C231192yescomplemented
370#23884C231192yescomplemented
371#23883C231192yescomplemented
372#23883C231384yescomplemented
373#23882C231192yescomplemented
374#23882C231384yescomplemented
375#23535C23148yescomplemented
376#23535C23148yescomplemented
377C2×#2053C23148yescomplemented
378#23414C23148yescomplemented
379#23414C23148yescomplemented
380C2×#2010C23148yescomplemented
381#23412C23148yescomplemented
382#23412C23148yescomplemented
383#23412C23148yescomplemented
384#23412C23148yescomplemented
385C2×#2009C23124yescomplemented
386C2×#2009C23124yescomplemented
387C2×#2008C23124yescomplemented
388C2×#2008C23124yescomplemented
389#22456C231384yescomplemented
390#22455C231384yescomplemented
391#21484C231128yescomplemented
392#21483C231128yescomplemented
393#21244C23148yescomplemented
394#21244C23148yescomplemented
395C2×#1976C23148yescomplemented
396#21009C23124yescomplemented
397#21009C23124yescomplemented
398#21009C23124yescomplemented
399#21009C23124yescomplemented
400C2×#1910C23112yescomplemented
401C2×#1910C23112yescomplemented
402C2×#1909C23112yescomplemented
403C2×#1909C23112yescomplemented
404#20998C23148yescomplemented
405#20998C23148yescomplemented
406C2×#1905C23124yescomplemented
407C2×#1904C23124yescomplemented
408C2×#1904C23148yescomplemented
409C2×#1904C23148yescomplemented
410C2×#1904C23148yescomplemented
411#20964C23124yescomplemented
412#20964C23124yescomplemented
413C2×#1891C23124yescomplemented
414#20892C23124yescomplemented
415#20892C23124yescomplemented
416C2×#1868C23124yescomplemented
417#20671C23124yescomplemented
418#20671C23124yescomplemented
419C2×#1812C23124yescomplemented
420#20623C23124yescomplemented
421#20623C23124yescomplemented
422C2×#1796C23112yescomplemented
423C2×#1795C23124yescomplemented
424C2×#1795C23124yescomplemented
425C2×#1795C23112yescomplemented
426C2×#1795C23124yescomplemented
427#20620C23124yescomplemented
428#20620C23124yescomplemented
429#20620C23124yescomplemented
430#20620C23124yescomplemented
431C2×#1794C23124yescomplemented
432C2×#1794C23124yescomplemented
433#20612C2318yes—
434#20612C2318yescomplemented
435C2×#1791C2318yescomplemented
436#20401C23124yescomplemented
437#20401C23124yescomplemented
438C2×#1757C23124yescomplemented
439C22×#344C2316yescomplemented
440C22×H(3,ℤ/4)C2316yescomplemented
4412−1+6C24132yes—
442H(7,𝔽2)C24132yes—
443H(7,𝔽2)C24164yes—
444C2×#585C2×D414yes—
445C2×#585C2×D414yes—
446C2×#585C2×D414yes—
447C2×#585C2×D4112yescomplemented
448C2×#585C2×D4112yescomplemented
449C2×#585C24112yes—
450C2×#585C24112yes—
451C2×#585C2414yes—
452C2×#585C2414yes—
453C2×#585C2414yes—
454C2×#585C24112yes—
455C2×#585C24112yes—
456C2×#585C24112yes—
457C2×#585C24112yes—
458C2×#585C24112yes—
459C2×#585C24112yes—
460C22×2−1+4C2×D416yescomplemented
461C22×2−1+4C2416yes—
462C22×2−1+4C2412yescomplemented
463C22×2−1+4C2412yescomplemented
464C22×H(5,𝔽2)C2×D414yes—
465C22×H(5,𝔽2)C2×D4112yescomplemented
466C22×H(5,𝔽2)C2×D4112yescomplemented
467C22×H(5,𝔽2)C2×D4112yescomplemented
468C22×H(5,𝔽2)C2×D416yescomplemented
469C22×H(5,𝔽2)C24112yes—
470C22×H(5,𝔽2)C24112yes—
471C22×H(5,𝔽2)C24112yes—
472C22×H(5,𝔽2)C2416yes—
473C22×H(5,𝔽2)C2414yes—
474C22×H(5,𝔽2)C2414yescomplemented
475C22×H(5,𝔽2)C2412yescomplemented
476C22×H(5,𝔽2)C2412yescomplemented
477C23×#41C2×D416yescomplemented
478C23×#41C2×D4112yescomplemented
479C23×#41C2413yes—
480C23×#41C2411yescharacteristic
481C23×#41C2413yes—
482C23×#41C2413yes—
483C23×#41C2411yescharacteristic
484C23×#41C2411yescharacteristic
485C23×#41C2411yescharacteristic
486C23×#41C2412yescomplemented
487C23×#41C2414yescomplemented
488C24×D4C2×D416yescomplemented
489C24×D4C2411yescharacteristic
490C24×D4C2412yescomplemented
491#3586C24196yes—
492#3585C241192yes—
493#3585C24196yes—
494#3584C241192yes—
495C2×#577C2×D4196yescomplemented
496C2×#577C2×D4196yescomplemented
497C2×#577C2×D4196yescomplemented
498C2×#577C24196yes—
499C2×#576C2×D4196yescomplemented
500C2×#576C2×D4196yescomplemented
501C2×#576C2×D4196yescomplemented
502C2×#576C24196yes—
503C2×#575C2×D4112yescomplemented
504C2×#575C2×D4196yescomplemented
505C2×#575C2×D4112yescomplemented
506C2×#575C2×D4112yescomplemented
507C2×#575C2×D4112yescomplemented
508C2×#575C2×D4196yescomplemented
509C2×#575C24112yes—
510C2×#575C24112yes—
511C2×#575C24112yes—
512C2×#575C24112yes—
513C2×#575C24112yes—
514C2×#575C24124yes—
515C2×#575C24124yes—
516C2×#575C24124yes—
517C2×#575C24112yescomplemented
518C2×#575C24112yescomplemented
519C2×#575C24112yescomplemented
520C22×#137C2×D416yescomplemented
521C22×#137C2×D416yescomplemented
522C22×#137C2×D416yescomplemented
523C22×#137C2×D4124yescomplemented
524C22×#137C2416yes—
525C22×#137C2412yescomplemented
526C22×#137C2412yescomplemented
527C22×#137C2412yescomplemented
528C22×#137C2412yescomplemented
529C22×#137C2416yescomplemented
530C22×#137C2416yescomplemented
531C22×#137C2418yescomplemented
532C22×AGL(1,ℤ/8)C2×D4112yes—
533C22×AGL(1,ℤ/8)C2×D4112yes—
534C22×AGL(1,ℤ/8)C2×D4112yes—
535C22×AGL(1,ℤ/8)C2×D4112yes—
536C22×AGL(1,ℤ/8)C2×D4112yescomplemented
537C22×AGL(1,ℤ/8)C2×D4112yescomplemented
538C22×AGL(1,ℤ/8)C2×D4112yescomplemented
539C22×AGL(1,ℤ/8)C2×D416yescomplemented
540C22×AGL(1,ℤ/8)C2×D416yescomplemented
541C22×AGL(1,ℤ/8)C2×D4196yescomplemented
542C22×AGL(1,ℤ/8)C2×D416yescomplemented
543C22×AGL(1,ℤ/8)C2×D4124yescomplemented
544C22×AGL(1,ℤ/8)C2×D4124yescomplemented
545C22×AGL(1,ℤ/8)C2×D4124yescomplemented
546C22×AGL(1,ℤ/8)C2×D4196yescomplemented
547C22×AGL(1,ℤ/8)C24112yes—
548C22×AGL(1,ℤ/8)C24112yes—
549C22×AGL(1,ℤ/8)C24112yes—
550C22×AGL(1,ℤ/8)C2416yes—
551C22×AGL(1,ℤ/8)C2414yes—
552C22×AGL(1,ℤ/8)C2414yes—
553C22×AGL(1,ℤ/8)C2414yes—
554C22×AGL(1,ℤ/8)C2414yescomplemented
555C22×AGL(1,ℤ/8)C2412yescomplemented
556C22×AGL(1,ℤ/8)C2412yescomplemented
557C22×AGL(1,ℤ/8)C2412yescomplemented
558C22×AGL(1,ℤ/8)C2412yescomplemented
559C22×AGL(1,ℤ/8)C2416yescomplemented
560C22×AGL(1,ℤ/8)C2416yescomplemented
561C22×AGL(1,ℤ/8)C2418yescomplemented
562C22×AGL(1,ℤ/8)C2418yescomplemented
563C22×AGL(1,ℤ/8)C2418yescomplemented
564C22×#135C2×D4112yescomplemented
565C22×#135C2×D4124yescomplemented
566C22×#135C2×D4124yescomplemented
567C22×#135C24112yes—
568C22×#135C2414yescomplemented
569C22×#135C2414yescomplemented
570C22×#135C2418yescomplemented
571C22×#135C2418yescomplemented
572C23×SD16C2×D416yescomplemented
573C23×SD16C2×D4124yescomplemented
574C23×SD16C2412yes—
575C23×SD16C2412yescomplemented
576C23×SD16C2418yescomplemented
577C23×D8C2×D416yescomplemented
578C23×D8C2×D4124yescomplemented
579C23×D8C2412yes—
580C23×D8C2412yescomplemented
581C23×D8C2418yescomplemented
582#3573C24164yes—
583C2×#568C2×D4112yescomplemented
584C2×#568C2×D4112yescomplemented
585C2×#568C24112yes—
586C2×#568C24112yes—
587C2×#568C24112yes—
588C2×#568C24112yes—
589C2×#568C24112yes—
590C22×#131C2×D4112yescomplemented
591C22×#131C24112yes—
592C22×#131C2414yescomplemented
593C22×#131C2414yescomplemented
594C23×M16C2×D4112yescomplemented
595C23×M16C2413yes—
596C23×M16C2411yescharacteristic
597C23×M16C2411yescharacteristic
598C23×M16C2413yes—
599C23×M16C2414yescomplemented
600#3487C24148yescomplemented
601#3486C24148yescomplemented
602#3485C24196yescomplemented
603#3485C24148yescomplemented
604#3484C24196yescomplemented
605#3484C24148yescomplemented
606#3449C2×D4112yes—
607#3449C2×D4112yes—
608#3449C24112yes—
609#3449C24112yes—
610#3449C24112yes—
611#3449C24112yes—
612#3449C24112yes—
613#3449C24112yes—
614#3449C24112yes—
615#3449C24112yes—
616#3449C24112yescomplemented
617#3449C24112yescomplemented
618#3449C24112yescomplemented
619#3449C24112yescomplemented
620#3449C24112yescomplemented
621#3449C24112yescomplemented
622C2×#536C2×D416yes—
623C2×#536C2416yes—
624C2×#536C2416yes—
625C2×#536C2416yescomplemented
626C2×#536C2416yescomplemented
627C2×#535C2×D416yes—
628C2×#535C2416yes—
629C2×#535C2416yes—
630C2×#535C2416yescomplemented
631C2×#535C2416yescomplemented
632C2×#534C2×D4112yes—
633C2×#525C24112yes—
634C2×#525C24112yescomplemented
635C2×#525C24112yescomplemented
636#3428C24112yescomplemented
637#3428C24112yescomplemented
638C2×#519C2416yescomplemented
639C2×#518C24112yes—
640C2×#518C24112yescomplemented
641C2×#518C24112yescomplemented
642C2×#518C2416yescomplemented
643C22×#117C2413yes—
644C22×#117C2413yes—
645C22×#117C2413yes—
646#3156C24148yescomplemented
647#3155C24148yescomplemented
648#3154C24148yescomplemented
649#3154C24148yescomplemented
650#3059C24148yescomplemented
651#3058C24148yescomplemented
652#3057C24148yescomplemented
653#3057C24148yescomplemented
654#3054C24196yescomplemented
655#3050C24196yescomplemented
656#3044C24148yescomplemented
657#3043C24148yescomplemented
658#3042C24196yescomplemented
659#3042C24148yescomplemented
660#3041C24196yescomplemented
661#3041C24148yescomplemented
662#3028C2×D4132yes—
663#3028C2×D4132yes—
664#3028C24132yes—
665#3028C24132yes—
666#3028C24196yescomplemented
667#3028C24196yescomplemented
668#3027C2×D4132yes—
669#3027C2×D4132yes—
670#3027C24132yes—
671#3027C24132yes—
672#3027C24196yescomplemented
673#3027C24196yescomplemented
674#3026C2×D4164yes—
675#3026C2×D4164yes—
676#3025C2×D4164yes—
677#3025C24164yes—
678#3025C241192yescomplemented
679#3025C241192yescomplemented
680C2×#458C2×D4132yes—
681C2×B(4,𝔽2)C2×D4132yes—
682#3022C24196yescomplemented
683#3022C24196yescomplemented
684#3021C24196yescomplemented
685#3021C24196yescomplemented
686#3011C24148yescomplemented
687#3010C24148yescomplemented
688#3009C24196yescomplemented
689#3009C24148yescomplemented
690#3008C24196yescomplemented
691#3008C24148yescomplemented
692#3005C24148yescomplemented
693#3005C24148yescomplemented
694#3005C24196yescomplemented
695#3004C24148yescomplemented
696#3003C24148yescomplemented
697#3003C24196yescomplemented
698#2949C24196yescomplemented
699#2948C24196yescomplemented
700#2930C24196yescomplemented
701#2929C24196yescomplemented
702#2911C24112yescomplemented
703#2911C24112yescomplemented
704C2×#427C24112yescomplemented
705#2905C24112yescomplemented
706#2905C24112yescomplemented
707C2×#424C24112yescomplemented
708C2×#421C24124yes—
709C2×#421C24124yescomplemented
710C2×#421C24124yescomplemented
711C2×#421C24124yescomplemented
712C2×#421C24124yescomplemented
713C2×#421C24124yescomplemented
714#2896C24112yes—
715#2896C24112yescomplemented
716#2896C24112yescomplemented
717#2896C24112yescomplemented
718#2896C24112yescomplemented
719#2896C24112yescomplemented
720#2896C24112yescomplemented
721#2896C24112yescomplemented
722#2896C24112yescomplemented
723#2896C24112yescomplemented
724C2×#419C2416yescomplemented
725C2×#419C2416yescomplemented
726C2×#419C2416yescomplemented
727C2×#418C24112yes—
728C2×#418C24112yescomplemented
729C2×#418C24112yescomplemented
730C2×#418C2416yescomplemented
731C2×#418C2416yescomplemented
732C2×#418C2416yescomplemented
733C2×#416C24112yescomplemented
734C2×#416C24112yescomplemented
735C2×#413C24112yes—
736C2×#413C24112yes—
737C2×#413C24112yes—
738#2884C24196yescomplemented
739#2883C241192yescomplemented
740#2883C24196yescomplemented
741C2×#410C2×D4112yes—
742C2×#410C2×D4112yes—
743C2×#410C2×D4112yes—
744C2×#410C24112yes—
745C2×#410C24112yes—
746C2×#410C24112yes—
747C2×#410C24124yes—
748C2×#410C24112yes—
749C2×#410C24112yes—
750C2×#410C24112yes—
751C2×#410C24112yes—
752C2×#410C24112yes—
753C2×#410C24112yes—
754C2×#410C24124yescomplemented
755C2×#410C24124yescomplemented
756C2×#410C24124yescomplemented
757C2×#410C24124yescomplemented
758C2×#410C24124yescomplemented
759C22×#99C2×D4112yes—
760#2879C24112yes—
761#2879C24112yes—
762#2879C24112yescomplemented
763#2879C24112yescomplemented
764C2×#408C24112yes—
765C2×#407C24112yescomplemented
766#2873C24112yescomplemented
767#2873C24112yescomplemented
768C2×#405C24112yescomplemented
769#2053C241384yescomplemented
770#2010C241384yescomplemented
771#2009C241192yescomplemented
772#2009C241192yescomplemented
773#2008C241192yescomplemented
774#2008C241192yescomplemented
775#1976C241384yescomplemented
776#1910C24196yescomplemented
777#1910C24196yescomplemented
778#1909C24196yescomplemented
779#1909C24196yescomplemented
780#1905C241192yescomplemented
781#1904C241384yescomplemented
782#1904C241192yescomplemented
783#1891C241192yescomplemented
784#1868C241192yescomplemented
785#1812C241192yescomplemented
786#1796C24196yescomplemented
787#1795C241192yescomplemented
788#1795C24196yescomplemented
789#1794C241192yescomplemented
790#1794C241192yescomplemented
791#1791C24164yes—
792#1757C241192yescomplemented
793C2×#344C24124yescomplemented
794C2×#344C24124yescomplemented
795C2×#344C24124yescomplemented
796C2×H(3,ℤ/4)C24124yescomplemented
797C2×H(3,ℤ/4)C24124yescomplemented
798C2×H(3,ℤ/4)C24124yescomplemented
799#585C22×D4116yes—
800#585C22×D4116yes—
801#585C22×D4116yes—
802#585C25148yes—
803#585C25148yes—
804#585C25116yes—
805C2×2−1+4C22×D4124yes—
806C2×2−1+4C22×D4124yescomplemented
807C2×2−1+4C22×D4124yescomplemented
808C2×2−1+4C25124yes—
809C2×H(5,𝔽2)C22×D4148yes—
810C2×H(5,𝔽2)C22×D4148yes—
811C2×H(5,𝔽2)C22×D4148yes—
812C2×H(5,𝔽2)C22×D4124yes—
813C2×H(5,𝔽2)C22×D4116yes—
814C2×H(5,𝔽2)C22×D4116yes—
815C2×H(5,𝔽2)C22×D4116yes—
816C2×H(5,𝔽2)C22×D4124yescomplemented
817C2×H(5,𝔽2)C22×D4124yescomplemented
818C2×H(5,𝔽2)C25148yes—
819C2×H(5,𝔽2)C25124yes—
820C22×#41C22×D416yes—
821C22×#41C22×D416yes—
822C22×#41C22×D416yes—
823C22×#41C22×D416yes—
824C22×#41C22×D416yes—
825C22×#41C22×D416yes—
826C22×#41C22×D412yes—
827C22×#41C22×D412yes—
828C22×#41C22×D416yes—
829C22×#41C22×D416yes—
830C22×#41C22×D416yes—
831C22×#41C22×D416yes—
832C22×#41C22×D416yes—
833C22×#41C22×D4124yes—
834C22×#41C22×D4124yes—
835C22×#41C22×D4124yes—
836C22×#41C22×D4148yes—
837C22×#41C22×D416yes—
838C22×#41C22×D416yes—
839C22×#41C22×D416yes—
840C22×#41C22×D416yes—
841C22×#41C22×D416yes—
842C22×#41C22×D4112yescomplemented
843C22×#41C22×D4112yescomplemented
844C22×#41C22×D4148yescomplemented
845C22×#41H(5,𝔽2)16yes—
846C22×#41H(5,𝔽2)16yes—
847C22×#41H(5,𝔽2)16yes—
848C22×#41C2516yes—
849C22×#41C2516yes—
850C22×#41C2516yes—
851C22×#41C2512yes—
852C22×#41C2512yes—
853C22×#41C2516yes—
854C22×#41C2516yes—
855C22×#41C2516yes—
856C22×#41C2516yes—
857C22×#41C2516yes—
858C22×#41C2516yes—
859C22×#41C2512yes—
860C22×#41C2512yes—
861C22×#41C2512yes—
862C22×#41C2512yes—
863C22×#41C2518yes—
864C22×#41C2512yes—
865C22×#41C2512yes—
866C22×#41C2514yescomplemented
867C22×#41C2514yescomplemented
868C23×Q8C22×D411yescharacteristic
869C23×Q8C22×D413yes—
870C23×Q8C22×D413yes—
871C23×Q8C22×D4112yescomplemented
872C23×Q8H(5,𝔽2)13yes—
873C23×Q8C2511yescharacteristic
874C23×Q8C2511yescharacteristic
875C23×Q8C2511yescharacteristic
876C23×Q8C2514yescomplemented
877C23×D4C22×D416yes—
878C23×D4C22×D416yes—
879C23×D4C22×D416yes—
880C23×D4C22×D416yes—
881C23×D4C22×D416yes—
882C23×D4C22×D413yes—
883C23×D4C22×D4124yes—
884C23×D4C22×D4124yes—
885C23×D4C22×D4124yes—
886C23×D4C22×D413yes—
887C23×D4C22×D412yes—
888C23×D4C22×D411yescharacteristic
889C23×D4C22×D4112yescomplemented
890C23×D4H(5,𝔽2)13yes—
891C23×D4C2512yes—
892C23×D4C2512yes—
893C23×D4C2512yes—
894C23×D4C2511yescharacteristic
895C23×D4C2511yescharacteristic
896C23×D4C2518yes—
897C23×D4C2511yescharacteristic
898C23×D4C2514yescomplemented
899C24×C4C22×D416yes—
900C24×C4C2512yes—
901C24×C4C2511yescharacteristic
902#575C25196yes—
903C2×#137C22×D4124yes—
904C2×#137C22×D4124yes—
905C2×#137C22×D4124yes—
906C2×#137C22×D4124yescomplemented
907C2×#137C22×D4124yescomplemented
908C2×#137C22×D41192yescomplemented
909C2×#137C22×D4124yescomplemented
910C2×#137C22×D4124yescomplemented
911C2×#137C25124yes—
912C2×#137C25124yes—
913C2×#137C25124yescomplemented
914C2×AGL(1,ℤ/8)#120116yes—
915C2×AGL(1,ℤ/8)#120148yes—
916C2×AGL(1,ℤ/8)#120148yes—
917C2×AGL(1,ℤ/8)#120148yes—
918C2×AGL(1,ℤ/8)#120196yes—
919C2×AGL(1,ℤ/8)C22×D4148yes—
920C2×AGL(1,ℤ/8)C22×D4148yes—
921C2×AGL(1,ℤ/8)C22×D4148yes—
922C2×AGL(1,ℤ/8)C22×D4148yes—
923C2×AGL(1,ℤ/8)C22×D4124yes—
924C2×AGL(1,ℤ/8)C22×D4124yes—
925C2×AGL(1,ℤ/8)C22×D4148yes—
926C2×AGL(1,ℤ/8)C22×D4148yes—
927C2×AGL(1,ℤ/8)C22×D4148yes—
928C2×AGL(1,ℤ/8)C22×D4124yes—
929C2×AGL(1,ℤ/8)C22×D4124yescomplemented
930C2×AGL(1,ℤ/8)C22×D4124yescomplemented
931C2×AGL(1,ℤ/8)C22×D41192yescomplemented
932C2×AGL(1,ℤ/8)C22×D41192yescomplemented
933C2×AGL(1,ℤ/8)C22×D41192yescomplemented
934C2×AGL(1,ℤ/8)C22×D4124yescomplemented
935C2×AGL(1,ℤ/8)C22×D4124yescomplemented
936C2×AGL(1,ℤ/8)C25148yes—
937C2×AGL(1,ℤ/8)C25124yes—
938C2×AGL(1,ℤ/8)C25124yes—
939C2×AGL(1,ℤ/8)C25124yescomplemented
940C2×#135C22×D4148yes—
941C2×#135C22×D41192yescomplemented
942C2×#135C22×D41192yescomplemented
943C2×#135C22×D4148yescomplemented
944C2×#135C22×D4148yescomplemented
945C2×#135C25148yes—
946C22×Q16C22×D4112yescomplemented
947C22×Q16C22×D4112yescomplemented
948C22×Q16C2514yescomplemented
949C22×Q16C2514yescomplemented
950C22×SD16C22×D4124yes—
951C22×SD16C22×D4124yes—
952C22×SD16C22×D4124yes—
953C22×SD16C22×D4124yes—
954C22×SD16C22×D4124yes—
955C22×SD16C22×D4112yescomplemented
956C22×SD16C22×D4112yescomplemented
957C22×SD16C22×D41192yescomplemented
958C22×SD16C22×D4112yescomplemented
959C22×SD16C22×D4112yescomplemented
960C22×SD16C2518yes—
961C22×SD16C2518yes—
962C22×SD16C2514yescomplemented
963C22×SD16C2514yescomplemented
964C22×SD16C2514yescomplemented
965C22×SD16C2514yescomplemented
966C22×D8C22×D4124yes—
967C22×D8C22×D4124yes—
968C22×D8C22×D4124yes—
969C22×D8C22×D4124yes—
970C22×D8C22×D4124yes—
971C22×D8C22×D4112yescomplemented
972C22×D8C22×D4112yescomplemented
973C22×D8C22×D41192yescomplemented
974C22×D8C2518yes—
975C22×D8C2518yes—
976C22×D8C2514yescomplemented
977C22×D8C2514yescomplemented
978#568C25148yes—
979C2×#131C22×D4148yes—
980C2×#131C22×D4148yescomplemented
981C2×#131C22×D4148yescomplemented
982C2×#131C25148yes—
983C22×M16C22×D416yes—
984C22×M16C22×D416yes—
985C22×M16C22×D416yes—
986C22×M16C22×D416yes—
987C22×M16C22×D416yes—
988C22×M16C22×D4148yes—
989C22×M16C22×D416yes—
990C22×M16C22×D416yes—
991C22×M16C22×D4124yescomplemented
992C22×M16C22×D4148yescomplemented
993C22×M16C2516yes—
994C22×M16C2516yes—
995C22×M16C2516yes—
996C22×M16C2512yes—
997C22×M16C2512yes—
998C22×M16C2512yes—
999C22×M16C2512yes—
1000C22×M16C2516yes—
1001C22×M16C2516yes—
1002C22×M16C2516yes—
1003C22×M16C2518yescomplemented
1004C23×C8C22×D416yes—
1005C23×C8C22×D4124yescomplemented
1006C23×C8C2512yes—
1007C23×C8C2512yes—
1008C23×C8C2518yescomplemented
1009#536C22×D4124yes—
1010#536C22×D4124yes—
1011#536C25124yes—
1012#536C25124yes—
1013#536C25124yes—
1014#536C25124yescomplemented
1015#535C22×D4124yes—
1016#535C22×D4124yes—
1017#535C25124yes—
1018#535C25124yes—
1019#535C25124yes—
1020#535C25124yescomplemented
1021#534C22×D4148yes—
1022#534C22×D4148yes—
1023#525C22×D4148yes—
1024#525C25148yes—
1025#525C25148yes—
1026#525C25148yescomplemented
1027C2×#123C22×D4124yes—
1028C2×#120C22×D4124yes—
1029#519C25124yescomplemented
1030#518C25148yes—
1031#518C25124yescomplemented
1032C2×#117C22×D416yes—
1033C2×#117C22×D416yes—
1034C2×#117C22×D416yes—
1035C2×#117C2516yes—
1036C2×#117C2516yes—
1037C2×#117C2516yes—
1038C2×#117C2516yes—
1039C2×#117C2516yes—
1040C2×#117C2516yes—
1041C2×#117C2516yes—
1042C2×#117C2516yes—
1043C2×#117C2516yes—
1044C22×C22⋊C4C22×D416yes—
1045#458C22×D41256yes—
1046B(4,𝔽2)C22×D41256yes—
1047#427C25148yescomplemented
1048#424C25148yescomplemented
1049#421C25196yes—
1050#421C25196yescomplemented
1051#419C25124yescomplemented
1052#419C25124yescomplemented
1053#419C25124yescomplemented
1054#418C25148yes—
1055#418C25124yescomplemented
1056#418C25124yescomplemented
1057#418C25124yescomplemented
1058#416C25148yes—
1059#416C25148yescomplemented
1060#413C25148yes—
1061#410C22×D4148yes—
1062#410C22×D4148yes—
1063#410C22×D4148yes—
1064#410C25148yes—
1065#410C25148yes—
1066#410C25148yes—
1067#410C25196yes—
1068#410C25196yescomplemented
1069C2×#99C22×D4148yes—
1070C2×#99C22×D4148yes—
1071C2×#99C22×D4148yes—
1072#408C25148yes—
1073#407C25148yescomplemented
1074#405C25148yescomplemented
1075#344C25196yescomplemented
1076H(3,ℤ/4)C25196yescomplemented
1077C25D4216yes—
1078C25C23×D412yes—
1079C25C23×D411yescharacteristic
1080H(5,𝔽2)C23×D4164yes—
1081C2×#41C2×#12014yes—
1082C2×#41C2×#120112yes—
1083C2×#41C2×#120112yes—
1084C2×#41C2×#120112yes—
1085C2×#41C2×#120124yes—
1086C2×#41D42112yes—
1087C2×#41D42112yes—
1088C2×#41D42112yes—
1089C2×#41D42112yes—
1090C2×#41D42112yes—
1091C2×#41D42112yes—
1092C2×#41C23×D4112yes—
1093C2×#41C23×D4112yes—
1094C2×#41C23×D4112yes—
1095C2×#41C23×D4112yes—
1096C2×#41C23×D4112yes—
1097C2×#41C23×D4112yes—
1098C2×#41C23×D4112yes—
1099C2×#41C23×D4112yes—
1100C2×#41C23×D4148yes—
1101C2×#41C23×D4148yes—
1102C2×#41C23×D4196yes—
1103C2×#41C23×D4112yes—
1104C2×#41C23×D4112yes—
1105C2×#41C23×D4112yes—
1106C2×#41C23×D4112yes—
1107C2×#41C23×D4112yes—
1108C2×#41C23×D4112yes—
1109C2×#41C23×D4112yes—
1110C2×#41C23×D4112yes—
1111C2×#41C2×H(5,𝔽2)112yes—
1112C2×#41C2×H(5,𝔽2)112yes—
1113C2×#41C2×H(5,𝔽2)112yes—
1114C2×#41C26112yes—
1115C2×#41C26112yes—
1116C2×#41C26112yes—
1117C22×Q8D4216yes—
1118C22×Q8D4216yes—
1119C22×Q8D4216yes—
1120C22×Q8C23×D412yes—
1121C22×Q8C23×D412yes—
1122C22×Q8C23×D416yes—
1123C22×Q8C23×D416yes—
1124C22×Q8C23×D416yes—
1125C22×Q8C23×D416yes—
1126C22×Q8C23×D4148yes—
1127C22×Q8C23×D416yes—
1128C22×Q8C23×D416yes—
1129C22×Q8C23×D416yes—
1130C22×Q8C23×D416yes—
1131C22×Q8C2×H(5,𝔽2)16yes—
1132C22×Q8C2×H(5,𝔽2)16yes—
1133C22×Q8C2×H(5,𝔽2)16yes—
1134C22×Q8C2612yes—
1135C22×Q8C2612yes—
1136C22×Q8C2612yes—
1137C22×D4C2×#12014yes—
1138C22×D4C2×#120112yes—
1139C22×D4C2×#120112yes—
1140C22×D4C2×#120112yes—
1141C22×D4C2×#120124yes—
1142C22×D4D42112yes—
1143C22×D4D42112yes—
1144C22×D4D42112yes—
1145C22×D4D4216yes—
1146C22×D4D4216yes—
1147C22×D4D4216yes—
1148C22×D4C23×D416yes—
1149C22×D4C23×D416yes—
1150C22×D4C23×D416yes—
1151C22×D4C23×D416yes—
1152C22×D4C23×D4148yes—
1153C22×D4C23×D4196yes—
1154C22×D4C23×D416yes—
1155C22×D4C23×D416yes—
1156C22×D4C23×D416yes—
1157C22×D4C23×D4112yes—
1158C22×D4C23×D416yes—
1159C22×D4C23×D4112yes—
1160C22×D4C23×D4112yes—
1161C22×D4C23×D4112yes—
1162C22×D4C23×D4112yes—
1163C22×D4C23×D4112yes—
1164C22×D4C23×D414yes—
1165C22×D4C23×D414yes—
1166C22×D4C23×D412yes—
1167C22×D4C23×D412yes—
1168C22×D4C23×D4112yes—
1169C22×D4C23×D4112yes—
1170C22×D4C23×D4112yes—
1171C22×D4C2×H(5,𝔽2)16yes—
1172C22×D4C2×H(5,𝔽2)16yes—
1173C22×D4C2×H(5,𝔽2)16yes—
1174C22×D4C2612yes—
1175C22×D4C2612yes—
1176C22×D4C2614yes—
1177C22×D4C2612yes—
1178C23×C4D4216yes—
1179C23×C4D42112yes—
1180C23×C4D42112yes—
1181C23×C4D42112yes—
1182C23×C4C23×D413yes—
1183C23×C4C23×D413yes—
1184C23×C4C23×D413yes—
1185C23×C4C23×D413yes—
1186C23×C4C23×D4112yes—
1187C23×C4C23×D4112yes—
1188C23×C4C23×D4112yes—
1189C23×C4C23×D411yescharacteristic
1190C23×C4C23×D411yescharacteristic
1191C23×C4C23×D411yescharacteristic
1192C23×C4C23×D412yes—
1193C23×C4C23×D414yes—
1194C23×C4C2×H(5,𝔽2)13yes—
1195C23×C4C2×H(5,𝔽2)13yes—
1196C23×C4C2×H(5,𝔽2)13yes—
1197C23×C4C2×H(5,𝔽2)13yes—
1198C23×C4C2611yescharacteristic
1199C23×C4C2611yescharacteristic
1200C23×C4C2611yescharacteristic
1201C23×C4C2614yes—
1202AGL(1,ℤ/8)C2×#120164yes—
1203AGL(1,ℤ/8)C2×#120164yes—
1204AGL(1,ℤ/8)C2×#1201192yes—
1205AGL(1,ℤ/8)C2×#1201192yes—
1206C2×Q16C23×D4148yes—
1207C2×Q16C23×D4148yes—
1208C2×SD16C2×#120132yes—
1209C2×SD16C2×#120196yes—
1210C2×SD16C23×D4196yes—
1211C2×SD16C23×D4196yes—
1212C2×SD16C23×D4148yes—
1213C2×SD16C23×D4148yes—
1214C2×SD16C23×D4148yes—
1215C2×SD16C23×D4148yes—
1216C2×D8C2×#120132yes—
1217C2×D8C2×#120196yes—
1218C2×D8C23×D4196yes—
1219C2×D8C23×D4196yes—
1220C2×D8C23×D4148yes—
1221C2×D8C23×D4148yes—
1222C2×M16C2×#12014yes—
1223C2×M16C2×#120112yes—
1224C2×M16C2×#120112yes—
1225C2×M16C2×#120112yes—
1226C2×M16C2×#120124yes—
1227C2×M16C23×D4112yes—
1228C2×M16C23×D4112yes—
1229C2×M16C23×D4112yes—
1230C2×M16C23×D4112yes—
1231C2×M16C23×D4112yes—
1232C2×M16C23×D4112yes—
1233C2×M16C23×D4112yes—
1234C2×M16C23×D4196yes—
1235C2×M16C26112yes—
1236C2×M16C26112yes—
1237C22×C8C23×D4112yes—
1238C22×C8C23×D4112yes—
1239C22×C8C23×D4112yes—
1240C22×C8C23×D4112yes—
1241C22×C8C23×D4112yes—
1242C22×C8C23×D4196yes—
1243C22×C8C2614yes—
1244C22×C8C2614yes—
1245#123C23×D4196yes—
1246#120C23×D4196yes—
1247#117C23×D4112yes—
1248#117C23×D4112yes—
1249#117C23×D4112yes—
1250#117C26112yes—
1251#117C26112yes—
1252#117C26112yes—
1253C2×C22⋊C4C23×D4112yes—
1254C2×C22⋊C4C23×D4112yes—
1255C2×C22⋊C4C23×D4112yes—
1256#99C23×D41192yes—
1257C24C2×D42112yes—
1258C24C2×D42112yes—
1259C24C2×D42112yes—
1260C24C2×D4213yes—
1261C24C2×D4213yes—
1262C24C2×D4213yes—
1263C24C2×D4213yes—
1264C24C24×D414yes—
1265C24C24×D411yescharacteristic
1266C24C24×D411yescharacteristic
1267C24C24×D411yescharacteristic
1268#41C22×#120124yes—
1269#41C22×#120124yes—
1270#41C22×#12018yes—
1271#41C22×#12018yes—
1272C2×Q8C22×#12014yes—
1273C2×Q8C22×#120112yes—
1274C2×Q8C2×D42112yes—
1275C2×Q8C2×D42112yes—
1276C2×Q8C2×D42112yes—
1277C2×Q8C24×D4112yes—
1278C2×Q8C24×D4112yes—
1279C2×Q8C24×D4112yes—
1280C2×Q8C22×H(5,𝔽2)112yes—
1281C2×D4C22×#12014yes—
1282C2×D4C22×#120112yes—
1283C2×D4C22×#12018yes—
1284C2×D4C22×#120124yes—
1285C2×D4C22×#120124yes—
1286C2×D4C22×#120124yes—
1287C2×D4C22×#12018yes—
1288C2×D4C22×#12018yes—
1289C2×D4C2×D42124yes—
1290C2×D4C2×D42124yes—
1291C2×D4C2×D42124yes—
1292C2×D4C2×D42112yes—
1293C2×D4C2×D42112yes—
1294C2×D4C2×D42112yes—
1295C2×D4C24×D4112yes—
1296C2×D4C24×D4112yes—
1297C2×D4C24×D4112yes—
1298C2×D4C24×D4124yes—
1299C2×D4C24×D4124yes—
1300C2×D4C22×H(5,𝔽2)112yes—
1301C22×C4C22×#12013yes—
1302C22×C4C22×#12016yes—
1303C22×C4C22×#12011yescharacteristic
1304C22×C4C22×#12013yes—
1305C22×C4C22×#12013yes—
1306C22×C4C2×D4213yes—
1307C22×C4C2×D4213yes—
1308C22×C4C2×D4213yes—
1309C22×C4C2×D4213yes—
1310C22×C4C2×D4213yes—
1311C22×C4C2×D4213yes—
1312C22×C4C2×D4213yes—
1313C22×C4C2×D4213yes—
1314C22×C4C2×D4213yes—
1315C22×C4C2×D4213yes—
1316C22×C4C2×D4213yes—
1317C22×C4C2×D4213yes—
1318C22×C4C2×D42112yes—
1319C22×C4C2×D42112yes—
1320C22×C4C2×D42112yes—
1321C22×C4C2×D42124yes—
1322C22×C4C2×D42124yes—
1323C22×C4C2×D42124yes—
1324C22×C4#348416yes—
1325C22×C4#348416yes—
1326C22×C4#348413yes—
1327C22×C4#348413yes—
1328C22×C4#348413yes—
1329C22×C4#348413yes—
1330C22×C4#348416yes—
1331C22×C4#348416yes—
1332C22×C4#348416yes—
1333C22×C4#348416yes—
1334C22×C4C24×D413yes—
1335C22×C4C24×D413yes—
1336C22×C4C24×D413yes—
1337C22×C4C24×D413yes—
1338C22×C4C24×D413yes—
1339C22×C4C24×D413yes—
1340C22×C4C24×D4124yes—
1341C22×C4C24×D411yescharacteristic
1342C22×C4C24×D411yescharacteristic
1343C22×C4C24×D411yescharacteristic
1344C22×C4C24×D414yes—
1345C22×C4C22×H(5,𝔽2)13yes—
1346C22×C4C22×H(5,𝔽2)13yes—
1347C22×C4C22×H(5,𝔽2)13yes—
1348C22×C4C22×H(5,𝔽2)13yes—
1349C22×C4C22×H(5,𝔽2)13yes—
1350C22×C4C22×H(5,𝔽2)13yes—
1351C22×C4C2711yescharacteristic
1352SD16C22×#1201128yes—
1353D8C22×#1201128yes—
1354M16C22×#12018yes—
1355M16C22×#120124yes—
1356M16C22×#12018yes—
1357M16C22×#120124yes—
1358C2×C8C22×#12018yes—
1359C2×C8C22×#120124yes—
1360C2×C8C24×D4124yes—
1361C2×C8C24×D4124yes—
1362C22⋊C4C24×D4124yes—
1363C23D4×#12011yescharacteristic
1364C23D4×#12013yes—
1365C23D4×#12013yes—
1366C23D4×#12013yes—
1367C23D4×#12016yes—
1368C23C22×D42124yes—
1369C23C22×D4213yes—
1370C23C22×D4213yes—
1371C23C22×D4213yes—
1372C23C22×D4213yes—
1373C23C22×D4213yes—
1374C23C22×D4213yes—
1375C23C25×D411yescharacteristic
1376Q8C23×#12018yes—
1377D4C23×#12018yes—
1378D4C23×#120116yes—
1379C2×C4D4×#12011yescharacteristic
1380C2×C4D4×#12011yescharacteristic
1381C2×C4D4×#12011yescharacteristic
1382C2×C4D4×#12013yes—
1383C2×C4D4×#12013yes—
1384C2×C4D4×#12013yes—
1385C2×C4D4×#12013yes—
1386C2×C4D4×#12013yes—
1387C2×C4D4×#12013yes—
1388C2×C4D4×#12013yes—
1389C2×C4D4×#12013yes—
1390C2×C4D4×#12013yes—
1391C2×C4D4×#12016yes—
1392C2×C4D4×#12016yes—
1393C2×C4D4×#12016yes—
1394C2×C4C23×#12011yescharacteristic
1395C2×C4C23×#12013yes—
1396C2×C4C23×#12013yes—
1397C2×C4C23×#12013yes—
1398C2×C4C23×#12011yescharacteristic
1399C2×C4C23×#12011yescharacteristic
1400C2×C4C22×D4213yes—
1401C2×C4C22×D4213yes—
1402C2×C4C22×D4213yes—
1403C2×C4C22×D4213yes—
1404C2×C4C22×D4213yes—
1405C2×C4C22×D4213yes—
1406C2×C4C22×D42124yes—
1407C2×C4C2×#348413yes—
1408C2×C4C2×#348413yes—
1409C2×C4C2×#348416yes—
1410C2×C4C2×#348416yes—
1411C2×C4C2×#348416yes—
1412C2×C4C2×#348413yes—
1413C2×C4C2×#348413yes—
1414C2×C4C2×#348413yes—
1415C2×C4C2×#348413yes—
1416C2×C4C25×D413yes—
1417C2×C4C23×H(5,𝔽2)13yes—
1418C8C23×#120116yes—
1419C22C2×D4×#12011yescharacteristic
1420C22C2×D4×#12013yes—
1421C22C2×D4×#12011yescharacteristic
1422C22C2×D4×#12011yescharacteristic
1423C22C2×D4×#12013yes—
1424C22C2×D4×#12013yes—
1425C22C23×D4213yes—
1426C4C2×D4×#12011yescharacteristic
1427C4C2×D4×#12013yes—
1428C4C2×D4×#12011yescharacteristic
1429C4C2×D4×#12011yescharacteristic
1430C4C2×D4×#12013yes—
1431C4C2×D4×#12013yes—
1432C4C24×#12011yescharacteristic
1433C4C22×#348413yes—
1434C2C22×D4×#12011yescharacteristic
subgroupG/H
center, socleC2C22×D4×#120
commutator, Frattini, cosocleC22×C4C27
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2 ◁ C24×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #72313148C2semidirect
2. #72313065C2semidirect
3. #72312868C2semidirect
4. #72312746C2semidirect
5. #72312651C2semidirect
6. #72312483C2semidirect
7. #72312361C2semidirect
8. #72303799C2semidirect
9. #72303769C2semidirect
10. #72303739C2semidirect
11. #72303023C2semidirect
12. #72262985C2semidirect
13. #72257333C2semidirect
14. C2×#10586999C2semidirect
15. C2×#6379185C2semidirect
16. C2×#6628883C2semidirect
17. #72249494C2semidirect
18. C2×#10574873C2semidirect
19. C2×#6438013C2semidirect
20. C2×#6437576C2semidirect
21. #72236873C2semidirect
22. C2×#63103C22semidirect
23. C22×H(7,𝔽2)C22semidirect
24. #10586999C22semidirect
25. #10586999C22semidirect
26. C2×#63092C22semidirect
27. C2×#63091C22semidirect
28. C2×#63090C22semidirect
29. C2×#63090C22semidirect
31. C22×#3585C22semidirect
32. C22×#3585C22semidirect
33. C2×#63076C22semidirect
34. #10586020C22semidirect
35. C2×#62842C22semidirect
36. #10576126C22semidirect
37. #10576125C22semidirect
38. #10576120C22semidirect
39. #10576119C22semidirect
40. #10576110C22semidirect
41. #10576108C22semidirect
42. #10575251C22semidirect
43. #10574956C22semidirect
44. C2×#60423C22semidirect
45. #10574916C22semidirect
46. #10574916C22semidirect
47. #10574884C22semidirect
49. C2×#60398C22semidirect
50. C2×#60398C22semidirect
51. C2×#60398C22semidirect
52. C2×#60398C22semidirect
53. C2×#60398C22semidirect
54. C2×#60398C22semidirect
55. #10574876C22semidirect
56. #10574875C22semidirect
57. #10574874C22semidirect
58. #10574873C22semidirect
59. #10574873C22semidirect
60. #10574873C22semidirect
61. C2×#60401C22semidirect
62. C2×#60399C22semidirect
63. #10574839C22semidirect
64. #10574839C22semidirect
65. C2×#60367C22semidirect
66. C2×#60367C22semidirect
67. C2×#60387C22semidirect
68. C2×#60387C22semidirect
69. #10574202C22semidirect
70. C2×#60168C22semidirect
71. C2×#60070C22semidirect
72. C22×#2883C22semidirect
73. #6629046C22semidirect
74. #6629046C22semidirect
75. #6629045C22semidirect
76. #6629045C22semidirect
77. #6629044C22semidirect
78. #6628886C22semidirect
79. #6628885C22semidirect
80. #6628884C22semidirect
81. #6628883C22semidirect
82. #6628883C22semidirect
83. #6628883C22semidirect
84. #6628882C22semidirect
85. C2×#32896C22semidirect
86. C2×#32894C22semidirect
87. #6573737C22semidirect
88. #6573736C22semidirect
89. #6573735C22semidirect
90. #6573735C22semidirect
91. #6573733C22semidirect
92. #6573732C22semidirect
93. #6573730C22semidirect
94. #6573729C22semidirect
95. #6443344C22semidirect
96. #6443344C22semidirect
97. #6443343C22semidirect
98. #6443343C22semidirect
99. #6443342C22semidirect
100. #6442739C22semidirect
101. #6442738C22semidirect
102. #6442737C22semidirect
103. #6438016C22semidirect
104. #6438015C22semidirect
105. #6438014C22semidirect
106. #6438013C22semidirect
107. #6438013C22semidirect
108. #6438013C22semidirect
109. #6438012C22semidirect
110. C2×#24409C22semidirect
111. C2×#24408C22semidirect
112. #6437579C22semidirect
113. #6437578C22semidirect
114. #6437577C22semidirect
115. #6437576C22semidirect
116. #6437576C22semidirect
117. #6437576C22semidirect
118. #6437575C22semidirect
119. C2×#23883C22semidirect
120. C2×#23882C22semidirect
121. C2×#23535C22semidirect
122. C2×#23414C22semidirect
123. C2×#23412C22semidirect
124. C2×#23412C22semidirect
125. #6379185C22semidirect
126. #6379185C22semidirect
127. C2×#22456C22semidirect
128. C2×#22455C22semidirect
129. #6372744C22semidirect
130. #6372743C22semidirect
131. #6372742C22semidirect
132. C2×#21244C22semidirect
133. C2×#21009C22semidirect
134. C2×#21009C22semidirect
135. C2×#20998C22semidirect
136. C22×#1904C22semidirect
137. C2×#20964C22semidirect
138. C2×#20892C22semidirect
139. C2×#20671C22semidirect
140. C2×#20623C22semidirect
141. C22×#1795C22semidirect
142. C2×#20620C22semidirect
143. C2×#20620C22semidirect
144. C2×#20612C22semidirect
145. C2×#20401C22semidirect
147. #63103C23semidirect
148. C2×2−1+6C23semidirect
152. C2×H(7,𝔽2)C23semidirect
157. C22×#585C23semidirect
159. C23×H(5,𝔽2)C23semidirect
160. #63092C23semidirect
161. #63091C23semidirect
164. #63090C23semidirect
165. #63090C23semidirect
166. C2×#3586C23semidirect
167. C2×#3585D4semidirect
168. C2×#3585D4semidirect
174. C2×#3585C23semidirect
175. C2×#3584C23semidirect
176. C22×#577D4semidirect
178. C22×#577C23semidirect
179. C22×#577C23semidirect
180. C22×#576D4semidirect
182. C22×#576C23semidirect
183. C22×#576C23semidirect
184. C22×#575D4semidirect
188. C22×#575C23semidirect
189. C22×#575C23semidirect
190. C22×#575C23semidirect
191. C22×#575C23semidirect
192. C22×#575C23semidirect
193. C23×AGL(1,ℤ/8)D4semidirect
196. C23×AGL(1,ℤ/8)C23semidirect
197. C23×AGL(1,ℤ/8)C23semidirect
199. #63076C23semidirect
200. C2×#3573C23semidirect
203. C22×#568C23semidirect
204. #62859C23semidirect
205. #62852C23semidirect
206. #62848C23semidirect
207. #62842C23semidirect
208. #62842C23semidirect
209. #62842C23semidirect
210. #62811C23semidirect
211. C2×#3485C23semidirect
212. C2×#3484C23semidirect
216. C2×#3449C23semidirect
217. C2×#3449C23semidirect
218. C2×#3449C23semidirect
219. C2×#3449C23semidirect
220. C2×#3428C23semidirect
221. C22×#518C23semidirect
222. #61060C23semidirect
223. #61059C23semidirect
224. #61058C23semidirect
225. #61058C23semidirect
226. #61052C23semidirect
227. #61051C23semidirect
228. #61050C23semidirect
229. #61049C23semidirect
230. #60645C23semidirect
231. #60645C23semidirect
232. #60644C23semidirect
233. #60644C23semidirect
234. #60643C23semidirect
235. #60455C23semidirect
236. #60455C23semidirect
237. #60454C23semidirect
238. #60454C23semidirect
239. #60453C23semidirect
240. #60450C23semidirect
241. #60450C23semidirect
242. #60444C23semidirect
243. #60427C23semidirect
244. #60426C23semidirect
245. #60424C23semidirect
246. #60423C23semidirect
247. #60423C23semidirect
248. #60423C23semidirect
249. #60422C23semidirect
250. C2×#3042C23semidirect
251. C2×#3041C23semidirect
252. #60402C23semidirect
253. #60401C23semidirect
254. #60401C23semidirect
255. #60400C23semidirect
256. #60399C23semidirect
257. #60399C23semidirect
265. #60398C23semidirect
266. #60398C23semidirect
267. #60398C23semidirect
268. #60398C23semidirect
269. #60398C23semidirect
270. #60398C23semidirect
271. #60398C23semidirect
272. #60398C23semidirect
273. #60398C23semidirect
276. C2×#3028C23semidirect
277. C2×#3028C23semidirect
278. C2×#3028C23semidirect
281. C2×#3027C23semidirect
282. C2×#3027C23semidirect
283. C2×#3027C23semidirect
286. C2×#3025C23semidirect
287. C2×#3025C23semidirect
288. #60387C23semidirect
289. #60387C23semidirect
290. #60387C23semidirect
291. #60387C23semidirect
292. C2×#3022C23semidirect
293. C2×#3022C23semidirect
294. C2×#3021C23semidirect
295. C2×#3021C23semidirect
296. #60370C23semidirect
297. #60369C23semidirect
298. #60368C23semidirect
299. #60368C23semidirect
300. #60368C23semidirect
301. #60367C23semidirect
302. #60367C23semidirect
303. #60367C23semidirect
304. #60367C23semidirect
305. #60367C23semidirect
306. #60367C23semidirect
307. #60367C23semidirect
308. #60366C23semidirect
309. C2×#3009C23semidirect
310. C2×#3008C23semidirect
311. #60359C23semidirect
312. C2×#3005C23semidirect
313. C2×#3003C23semidirect
314. #60168C23semidirect
315. #60168C23semidirect
316. C2×#2949C23semidirect
317. C2×#2948C23semidirect
318. #60142C23semidirect
319. #60141C23semidirect
320. #60140C23semidirect
321. C2×#2911C23semidirect
322. C2×#2905C23semidirect
323. C22×#421C23semidirect
324. C22×#421C23semidirect
325. C2×#2896C23semidirect
326. C2×#2896C23semidirect
327. C2×#2896C23semidirect
328. C2×#2896C23semidirect
329. C2×#2896C23semidirect
330. C22×#418C23semidirect
332. #60070C23semidirect
333. #60070C23semidirect
334. C2×#2884C23semidirect
335. C2×#2883C23semidirect
336. C2×#2883C23semidirect
337. C2×#2883C23semidirect
338. C2×#2883C23semidirect
342. C22×#410C23semidirect
343. C22×#410C23semidirect
345. C2×#2879C23semidirect
346. C2×#2873C23semidirect
347. #32949C23semidirect
348. #32948C23semidirect
349. #32947C23semidirect
350. #32947C23semidirect
351. #32897C23semidirect
352. #32896C23semidirect
353. #32896C23semidirect
354. #32895C23semidirect
355. #32894C23semidirect
356. #32894C23semidirect
357. #25800C23semidirect
358. #25799C23semidirect
359. #25798C23semidirect
360. #25798C23semidirect
361. #24411C23semidirect
362. #24410C23semidirect
363. #24409C23semidirect
364. #24409C23semidirect
365. #24408C23semidirect
366. #24408C23semidirect
367. #24286C23semidirect
368. #24285C23semidirect
369. #23885C23semidirect
370. #23884C23semidirect
371. #23883C23semidirect
372. #23883C23semidirect
373. #23882C23semidirect
374. #23882C23semidirect
375. #23535C23semidirect
376. #23535C23semidirect
377. C2×#2053C23semidirect
378. #23414C23semidirect
379. #23414C23semidirect
380. C2×#2010C23semidirect
381. #23412C23semidirect
382. #23412C23semidirect
383. #23412C23semidirect
384. #23412C23semidirect
385. C2×#2009C23semidirect
386. C2×#2009C23semidirect
387. C2×#2008C23semidirect
388. C2×#2008C23semidirect
389. #22456C23semidirect
390. #22455C23semidirect
391. #21484C23semidirect
392. #21483C23semidirect
393. #21244C23semidirect
394. #21244C23semidirect
395. C2×#1976C23semidirect
396. #21009C23semidirect
397. #21009C23semidirect
398. #21009C23semidirect
399. #21009C23semidirect
400. C2×#1910C23semidirect
401. C2×#1910C23semidirect
402. C2×#1909C23semidirect
403. C2×#1909C23semidirect
404. #20998C23semidirect
405. #20998C23semidirect
406. C2×#1905C23semidirect
407. C2×#1904C23semidirect
408. C2×#1904C23semidirect
409. C2×#1904C23semidirect
410. C2×#1904C23semidirect
411. #20964C23semidirect
412. #20964C23semidirect
413. C2×#1891C23semidirect
414. #20892C23semidirect
415. #20892C23semidirect
416. C2×#1868C23semidirect
417. #20671C23semidirect
418. #20671C23semidirect
419. C2×#1812C23semidirect
420. #20623C23semidirect
421. #20623C23semidirect
422. C2×#1796C23semidirect
423. C2×#1795C23semidirect
424. C2×#1795C23semidirect
425. C2×#1795C23semidirect
426. C2×#1795C23semidirect
427. #20620C23semidirect
428. #20620C23semidirect
429. #20620C23semidirect
430. #20620C23semidirect
431. C2×#1794C23semidirect
432. C2×#1794C23semidirect
434. #20612C23semidirect
435. C2×#1791C23semidirect
436. #20401C23semidirect
437. #20401C23semidirect
438. C2×#1757C23semidirect
439. C22×#344C23semidirect
440. C22×H(3,ℤ/4)C23semidirect
447. C2×#585C2×D4semidirect
448. C2×#585C2×D4semidirect
460. C22×2−1+4C2×D4semidirect
462. C22×2−1+4C24semidirect
463. C22×2−1+4C24semidirect
465. C22×H(5,𝔽2)C2×D4semidirect
466. C22×H(5,𝔽2)C2×D4semidirect
467. C22×H(5,𝔽2)C2×D4semidirect
468. C22×H(5,𝔽2)C2×D4semidirect
474. C22×H(5,𝔽2)C24semidirect
475. C22×H(5,𝔽2)C24semidirect
476. C22×H(5,𝔽2)C24semidirect
477. C23×#41C2×D4semidirect
478. C23×#41C2×D4semidirect
486. C23×#41C24semidirect
487. C23×#41C24semidirect
488. C24×D4C2×D4semidirect
490. C24×D4C24semidirect
495. C2×#577C2×D4semidirect
496. C2×#577C2×D4semidirect
497. C2×#577C2×D4semidirect
499. C2×#576C2×D4semidirect
500. C2×#576C2×D4semidirect
501. C2×#576C2×D4semidirect
503. C2×#575C2×D4semidirect
504. C2×#575C2×D4semidirect
505. C2×#575C2×D4semidirect
506. C2×#575C2×D4semidirect
507. C2×#575C2×D4semidirect
508. C2×#575C2×D4semidirect
517. C2×#575C24semidirect
518. C2×#575C24semidirect
519. C2×#575C24semidirect
520. C22×#137C2×D4semidirect
521. C22×#137C2×D4semidirect
522. C22×#137C2×D4semidirect
523. C22×#137C2×D4semidirect
525. C22×#137C24semidirect
526. C22×#137C24semidirect
527. C22×#137C24semidirect
528. C22×#137C24semidirect
529. C22×#137C24semidirect
530. C22×#137C24semidirect
531. C22×#137C24semidirect
536. C22×AGL(1,ℤ/8)C2×D4semidirect
537. C22×AGL(1,ℤ/8)C2×D4semidirect
538. C22×AGL(1,ℤ/8)C2×D4semidirect
539. C22×AGL(1,ℤ/8)C2×D4semidirect
540. C22×AGL(1,ℤ/8)C2×D4semidirect
541. C22×AGL(1,ℤ/8)C2×D4semidirect
542. C22×AGL(1,ℤ/8)C2×D4semidirect
543. C22×AGL(1,ℤ/8)C2×D4semidirect
544. C22×AGL(1,ℤ/8)C2×D4semidirect
545. C22×AGL(1,ℤ/8)C2×D4semidirect
546. C22×AGL(1,ℤ/8)C2×D4semidirect
554. C22×AGL(1,ℤ/8)C24semidirect
555. C22×AGL(1,ℤ/8)C24semidirect
556. C22×AGL(1,ℤ/8)C24semidirect
557. C22×AGL(1,ℤ/8)C24semidirect
558. C22×AGL(1,ℤ/8)C24semidirect
559. C22×AGL(1,ℤ/8)C24semidirect
560. C22×AGL(1,ℤ/8)C24semidirect
561. C22×AGL(1,ℤ/8)C24semidirect
562. C22×AGL(1,ℤ/8)C24semidirect
563. C22×AGL(1,ℤ/8)C24semidirect
564. C22×#135C2×D4semidirect
565. C22×#135C2×D4semidirect
566. C22×#135C2×D4semidirect
568. C22×#135C24semidirect
569. C22×#135C24semidirect
570. C22×#135C24semidirect
571. C22×#135C24semidirect
572. C23×SD16C2×D4semidirect
573. C23×SD16C2×D4semidirect
575. C23×SD16C24semidirect
576. C23×SD16C24semidirect
577. C23×D8C2×D4semidirect
578. C23×D8C2×D4semidirect
580. C23×D8C24semidirect
581. C23×D8C24semidirect
583. C2×#568C2×D4semidirect
584. C2×#568C2×D4semidirect
590. C22×#131C2×D4semidirect
592. C22×#131C24semidirect
593. C22×#131C24semidirect
594. C23×M16C2×D4semidirect
599. C23×M16C24semidirect
600. #3487C24semidirect
601. #3486C24semidirect
602. #3485C24semidirect
603. #3485C24semidirect
604. #3484C24semidirect
605. #3484C24semidirect
616. #3449C24semidirect
617. #3449C24semidirect
618. #3449C24semidirect
619. #3449C24semidirect
620. #3449C24semidirect
621. #3449C24semidirect
625. C2×#536C24semidirect
626. C2×#536C24semidirect
630. C2×#535C24semidirect
631. C2×#535C24semidirect
634. C2×#525C24semidirect
635. C2×#525C24semidirect
636. #3428C24semidirect
637. #3428C24semidirect
638. C2×#519C24semidirect
640. C2×#518C24semidirect
641. C2×#518C24semidirect
642. C2×#518C24semidirect
646. #3156C24semidirect
647. #3155C24semidirect
648. #3154C24semidirect
649. #3154C24semidirect
650. #3059C24semidirect
651. #3058C24semidirect
652. #3057C24semidirect
653. #3057C24semidirect
654. #3054C24semidirect
655. #3050C24semidirect
656. #3044C24semidirect
657. #3043C24semidirect
658. #3042C24semidirect
659. #3042C24semidirect
660. #3041C24semidirect
661. #3041C24semidirect
666. #3028C24semidirect
667. #3028C24semidirect
672. #3027C24semidirect
673. #3027C24semidirect
678. #3025C24semidirect
679. #3025C24semidirect
682. #3022C24semidirect
683. #3022C24semidirect
684. #3021C24semidirect
685. #3021C24semidirect
686. #3011C24semidirect
687. #3010C24semidirect
688. #3009C24semidirect
689. #3009C24semidirect
690. #3008C24semidirect
691. #3008C24semidirect
692. #3005C24semidirect
693. #3005C24semidirect
694. #3005C24semidirect
695. #3004C24semidirect
696. #3003C24semidirect
697. #3003C24semidirect
698. #2949C24semidirect
699. #2948C24semidirect
700. #2930C24semidirect
701. #2929C24semidirect
702. #2911C24semidirect
703. #2911C24semidirect
704. C2×#427C24semidirect
705. #2905C24semidirect
706. #2905C24semidirect
707. C2×#424C24semidirect
709. C2×#421C24semidirect
710. C2×#421C24semidirect
711. C2×#421C24semidirect
712. C2×#421C24semidirect
713. C2×#421C24semidirect
715. #2896C24semidirect
716. #2896C24semidirect
717. #2896C24semidirect
718. #2896C24semidirect
719. #2896C24semidirect
720. #2896C24semidirect
721. #2896C24semidirect
722. #2896C24semidirect
723. #2896C24semidirect
724. C2×#419C24semidirect
725. C2×#419C24semidirect
726. C2×#419C24semidirect
728. C2×#418C24semidirect
729. C2×#418C24semidirect
730. C2×#418C24semidirect
731. C2×#418C24semidirect
732. C2×#418C24semidirect
733. C2×#416C24semidirect
734. C2×#416C24semidirect
738. #2884C24semidirect
739. #2883C24semidirect
740. #2883C24semidirect
754. C2×#410C24semidirect
755. C2×#410C24semidirect
756. C2×#410C24semidirect
757. C2×#410C24semidirect
758. C2×#410C24semidirect
762. #2879C24semidirect
763. #2879C24semidirect
765. C2×#407C24semidirect
766. #2873C24semidirect
767. #2873C24semidirect
768. C2×#405C24semidirect
769. #2053C24semidirect
770. #2010C24semidirect
771. #2009C24semidirect
772. #2009C24semidirect
773. #2008C24semidirect
774. #2008C24semidirect
775. #1976C24semidirect
776. #1910C24semidirect
777. #1910C24semidirect
778. #1909C24semidirect
779. #1909C24semidirect
780. #1905C24semidirect
781. #1904C24semidirect
782. #1904C24semidirect
783. #1891C24semidirect
784. #1868C24semidirect
785. #1812C24semidirect
786. #1796C24semidirect
787. #1795C24semidirect
788. #1795C24semidirect
789. #1794C24semidirect
790. #1794C24semidirect
792. #1757C24semidirect
793. C2×#344C24semidirect
794. C2×#344C24semidirect
795. C2×#344C24semidirect
796. C2×H(3,ℤ/4)C24semidirect
797. C2×H(3,ℤ/4)C24semidirect
798. C2×H(3,ℤ/4)C24semidirect
806. C2×2−1+4C22×D4semidirect
807. C2×2−1+4C22×D4semidirect
816. C2×H(5,𝔽2)C22×D4semidirect
817. C2×H(5,𝔽2)C22×D4semidirect
842. C22×#41C22×D4semidirect
843. C22×#41C22×D4semidirect
844. C22×#41C22×D4semidirect
866. C22×#41C25semidirect
867. C22×#41C25semidirect
871. C23×Q8C22×D4semidirect
876. C23×Q8C25semidirect
889. C23×D4C22×D4semidirect
898. C23×D4C25semidirect
906. C2×#137C22×D4semidirect
907. C2×#137C22×D4semidirect
908. C2×#137C22×D4semidirect
909. C2×#137C22×D4semidirect
910. C2×#137C22×D4semidirect
913. C2×#137C25semidirect
929. C2×AGL(1,ℤ/8)C22×D4semidirect
930. C2×AGL(1,ℤ/8)C22×D4semidirect
931. C2×AGL(1,ℤ/8)C22×D4semidirect
932. C2×AGL(1,ℤ/8)C22×D4semidirect
933. C2×AGL(1,ℤ/8)C22×D4semidirect
934. C2×AGL(1,ℤ/8)C22×D4semidirect
935. C2×AGL(1,ℤ/8)C22×D4semidirect
939. C2×AGL(1,ℤ/8)C25semidirect
941. C2×#135C22×D4semidirect
942. C2×#135C22×D4semidirect
943. C2×#135C22×D4semidirect
944. C2×#135C22×D4semidirect
946. C22×Q16C22×D4semidirect
947. C22×Q16C22×D4semidirect
948. C22×Q16C25semidirect
949. C22×Q16C25semidirect
955. C22×SD16C22×D4semidirect
956. C22×SD16C22×D4semidirect
957. C22×SD16C22×D4semidirect
958. C22×SD16C22×D4semidirect
959. C22×SD16C22×D4semidirect
962. C22×SD16C25semidirect
963. C22×SD16C25semidirect
964. C22×SD16C25semidirect
965. C22×SD16C25semidirect
971. C22×D8C22×D4semidirect
972. C22×D8C22×D4semidirect
973. C22×D8C22×D4semidirect
976. C22×D8C25semidirect
977. C22×D8C25semidirect
980. C2×#131C22×D4semidirect
981. C2×#131C22×D4semidirect
991. C22×M16C22×D4semidirect
992. C22×M16C22×D4semidirect
1003. C22×M16C25semidirect
1005. C23×C8C22×D4semidirect
1008. C23×C8C25semidirect
1014. #536C25semidirect
1020. #535C25semidirect
1026. #525C25semidirect
1029. #519C25semidirect
1031. #518C25semidirect
1047. #427C25semidirect
1048. #424C25semidirect
1050. #421C25semidirect
1051. #419C25semidirect
1052. #419C25semidirect
1053. #419C25semidirect
1055. #418C25semidirect
1056. #418C25semidirect
1057. #418C25semidirect
1059. #416C25semidirect
1068. #410C25semidirect
1073. #407C25semidirect
1074. #405C25semidirect
1075. #344C25semidirect
1076. H(3,ℤ/4)C25semidirect

Maximal subgroups

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

subgroupindex
#723131482
#723130652
#723128682
#723127462
#723126512
#723124832
#723123612
#723037992
#723037692
#723037392
#723030232
#722629852
#722573332
C2×#105869992
C2×#63791852
C2×#66288832
#722494942
C2×#105748732
C2×#64380132
C2×#64375762
#722368732