Finite Group Databasebeta

← #33978799

Subgroups — #33978799

Order 18688.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1878 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623703C211yesmaximal, characteristic, complemented
2#22623545C211yesmaximal, characteristic, complemented
3#22622952C211yesmaximal, characteristic, complemented
4#22622946C211yesmaximal, characteristic, complemented
5#22622663C211yesmaximal, characteristic, complemented
6#22622657C211yesmaximal, characteristic, complemented
7#22621955C211yesmaximal, characteristic, complemented
8#22621953C211yesmaximal, characteristic, complemented
9#22621946C211yesmaximal, characteristic, complemented
10#22621742C211yesmaximal, characteristic, complemented
11#22621740C211yesmaximal, characteristic, complemented
12#22621625C211yesmaximal, characteristic, complemented
13#22621624C211yesmaximal, characteristic, complemented
14#22621433C211yesmaximal, characteristic, complemented
15#22621431C211yesmaximal, characteristic, complemented
16#22621424C211yesmaximal, characteristic, complemented
17#22621422C211yesmaximal, characteristic, complemented
18#22621313C211yesmaximal, characteristic, complemented
19#22621256C211yesmaximal, characteristic, complemented
20#22621252C211yesmaximal, characteristic, complemented
21#22620952C211yesmaximal, characteristic, complemented
22#22620950C211yesmaximal, characteristic, complemented
23#22620870C211yesmaximal, characteristic, complemented
24#22620051C211yesmaximal, characteristic, complemented
25#22620050C211yesmaximal, characteristic, complemented
26#22619986C211yesmaximal, characteristic, complemented
27#22619410C211yesmaximal, characteristic, complemented
28C2×#17988786C211yesmaximal, characteristic, complemented
29#460×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3310C211yesmaximal, characteristic, complemented
32C2×#14556636—21no—
33C2×#14556619C2211yescharacteristic, complemented
34C2×#14556617C2211yescharacteristic, complemented
35C22×#11924017C2211yescharacteristic, complemented
36C22×#11924016C2211yescharacteristic, complemented
37C2×SD16×D73C2211yescharacteristic, complemented
38C2×SD16×D73C2211yescharacteristic, complemented
39#17989314C2211yescharacteristic, complemented
40#17989309C2211yescharacteristic, complemented
41#17989304—21no—
42#17989276C2211yescharacteristic, complemented
43#17989270—21no—
44#17989269—21no—
45#17989258C2211yescharacteristic
46#17989257C2211yescharacteristic
47#17989255—21no—
48#17989250C2211yescharacteristic, complemented
49#17989247C2211yescharacteristic, complemented
50#17989246C2211yescharacteristic, complemented
51#17989238C2211yescharacteristic, complemented
52#17989235—21no—
53D4×D292C2211yescharacteristic
54#17989221C2211yescharacteristic
55#17989221C2211yescharacteristic
56D4×C22⋊D73—21no—
57D4×C22⋊D73C2211yescharacteristic
58D4×C22⋊D73C2211yescharacteristic
59#17989219—21no—
60#17989219—21no—
61#17989153—21no—
62#17989152—21no—
63#17989152—21no—
64#17989143—21no—
65#17989139C2211yescharacteristic, complemented
66#17989134C2211yescharacteristic
67#17989132C2211yescharacteristic
68#17989132C2211yescharacteristic
69C2×#14556587C2211yescharacteristic
70C2×#14556587C2211yescharacteristic
71#127×D73C2211yescharacteristic
72#17989123C2211yescharacteristic, complemented
73#17989122C2211yescharacteristic, complemented
74#17989120—21no—
75#17989114—21no—
76#17989055—21no—
77#17989055C2211yescharacteristic, complemented
78C4×#11924027C2211yescharacteristic
79C2×#14556556C2211yescharacteristic, complemented
80C4×Q8×D73C2211yescharacteristic, complemented
81#17988976C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988973C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988958C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic, complemented
89#17988950C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988932C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988902C2211yescharacteristic, complemented
94#17988900C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988886C2211yescharacteristic, complemented
97#17988885C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988866C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988835C2211yescharacteristic, complemented
106#17988833C2211yescharacteristic, complemented
107#17988831C2211yescharacteristic, complemented
108#17988824C2211yescharacteristic, complemented
109#17988823C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988818C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988815C2211yescharacteristic, complemented
115#17988805C2211yescharacteristic, complemented
116#17988804C2211yescharacteristic, complemented
117#17988803C2211yescharacteristic, complemented
118#17988802C2211yescharacteristic, complemented
119#17988791C2211yescharacteristic, complemented
120#17988790C2211yescharacteristic, complemented
121#17988788C2211yescharacteristic, complemented
122#17988787C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic, complemented
128#17988786C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic, complemented
131#17988786C2211yescharacteristic, complemented
132#17988786C2211yescharacteristic, complemented
133#17988786C2211yescharacteristic, complemented
134#17988786C2211yescharacteristic, complemented
135#17988785C2211yescharacteristic, complemented
136#17988785C2211yescharacteristic, complemented
137#17988785C2211yescharacteristic, complemented
138#17988784C2211yescharacteristic, complemented
139#17988781C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic, complemented
141#17988781C2211yescharacteristic, complemented
142#17988781C2211yescharacteristic, complemented
143#17988781C2211yescharacteristic, complemented
144#17988740C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988739C2211yescharacteristic, complemented
147#17988738C2211yescharacteristic, complemented
148#17988737C2211yescharacteristic, complemented
149#17988737C2211yescharacteristic, complemented
150#17988734C2211yescharacteristic, complemented
151#17988730C2211yescharacteristic, complemented
152#17988728C2211yescharacteristic, complemented
153#17988727C2211yescharacteristic, complemented
154#17988725C2211yescharacteristic, complemented
155#17988724C2211yescharacteristic, complemented
156#17988723C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988721C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988689C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic, complemented
164#17988686C2211yescharacteristic, complemented
165#17988686C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167#17988684C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988678C2211yescharacteristic, complemented
170#17988674C2211yescharacteristic, complemented
171#17988669C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic, complemented
175#17988656C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988591C2211yescharacteristic, complemented
185C2×#14556511C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203#14556636—48no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027D411yescharacteristic
212C22×Dic146C2311yescharacteristic
213C2×Q8×D73C2311yescharacteristic
214C22×D292C2311yescharacteristic
215C22×D292C2311yescharacteristic
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C22×C22⋊D73—21no—
219C22×C22⋊D73—21no—
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229#14556619—42no—
230#14556617—42no—
231C2×#11924017—42no—
232C2×#11924017C2311yescharacteristic
233C2×#11924017C2311yescharacteristic
234C2×#11924017C2311yescharacteristic
235C2×#11924017C2311yescharacteristic
236C2×#11924017C2311yescharacteristic
237C2×#11924017C2311yescharacteristic
238C2×#11924016—42no—
239C2×#11924016C2311yescharacteristic
240C2×#11924016C2311yescharacteristic
241C2×#11924016C2311yescharacteristic
242C2×#11924016C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924015C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248SD16×D73—42no—
249SD16×D73—42no—
250C2×D584C2311yescharacteristic
251C2×D584C2311yescharacteristic
252C2×D584C2311yescharacteristic
253C2×#11924013C2311yescharacteristic
254C2×#11924013C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924012C2311yescharacteristic
257C22×#10596831C2311yescharacteristic
258C2×C8×D73C2311yescharacteristic
259C2×C8×D73C2311yescharacteristic
260#14556590—21no—
261#14556590—21no—
262#14556590C2311yescharacteristic
263#14556590C2311yescharacteristic
264#14556589C2311yescharacteristic
265#14556588C2311yescharacteristic
266#14556587—21no—
267#14556587—21no—
268#14556587—21no—
269#14556587—21no—
270#14556587—21no—
271#14556587—21no—
272#14556587C2311yescharacteristic
273#14556587C2311yescharacteristic
274#14556587C2311yescharacteristic
275#14556587C2311yescharacteristic
276#14556587C2311yescharacteristic
277#14556587C2311yescharacteristic
278#14556587C2311yescharacteristic
279#14556586—21no—
280#14556586—21no—
281#14556586—21no—
282#14556585—21no—
283#14556584—21no—
284#14556583—21no—
285#14556582C2311yescharacteristic
286#14556581—21no—
287#14556581—21no—
288#14556581—21no—
289#14556580C2311yescharacteristic
290#14556579C2311yescharacteristic
291#14556577—21no—
292#14556577—21no—
293#14556577—21no—
294#14556577—21no—
295#14556577—21no—
296#14556576—21no—
297#14556576—21no—
298#14556575—21no—
299#14556574—21no—
300#14556573—21no—
301#14556571C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556569—21no—
307#14556569—21no—
308#14556568—21no—
309#14556568—21no—
310#14556566—21no—
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556565—21no—
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556562—21no—
331#14556562C2311yescharacteristic
332#14556561—21no—
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336#14556560—21no—
337#14556560—21no—
338#14556559—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342Q8×Dic73C2311yescharacteristic
343C4×Dic146—21no—
344C4×Dic146C2311yescharacteristic
345C4×Dic146C2311yescharacteristic
346#14556556—21no—
347#14556556—21no—
348#14556556—21no—
349#14556556—21no—
350#14556556—21no—
351#14556556D411yescharacteristic
352#14556556C2311yescharacteristic
353#14556556C2311yescharacteristic
354#14556556C2311yescharacteristic
355#14556556C2311yescharacteristic
356#14556556C2311yescharacteristic
357C4×D292C2311yescharacteristic
358D4×Dic73D411yescharacteristic
359D4×Dic73C2311yescharacteristic
360D4×Dic73C2311yescharacteristic
361#14556553—21no—
362#14556553—21no—
363#14556553C2311yescharacteristic
364#14556553C2311yescharacteristic
365#14556553C2311yescharacteristic
366#14556553C2311yescharacteristic
367C4×C22⋊D73—21no—
368C4×C22⋊D73C2311yescharacteristic
369C4×C22⋊D73C2311yescharacteristic
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551D411yescharacteristic
378#14556551D411yescharacteristic
379#14556549—21no—
380#14556549—21no—
381#14556549D411yescharacteristic
382#14556548—21no—
383#14556548—21no—
384#14556548—21no—
385#14556547—21no—
386#14556547D411yescharacteristic
387#14556547D411yescharacteristic
388C2×#11924007—21no—
389C4⋊C4×D73—21no—
390C4⋊C4×D73C2311yescharacteristic
391C2×C4×Dic73—21no—
392C2×C4×Dic73C2311yescharacteristic
393C2×C4×Dic73C2311yescharacteristic
394C42×D73—21no—
395C42×D73—21no—
396C42×D73C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556502C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C22×D4×C73—21no—
443C22×D4×C73C2311yescharacteristic
444C22×D4×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×M16×C73C2311yescharacteristic
449C22×C8×C73C2311yescharacteristic
450#127×C73C2311yescharacteristic
451#126×C73—21no—
452#125×C73—21no—
453#125×C73C2311yescharacteristic
454#123×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460#120×C73—21no—
461#120×C73—21no—
462C4×Q8×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465#117×C73—21no—
466#117×C73C2311yescharacteristic
467C2×C4⋊C4×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489#11924028—22no—
490#11924028—41no—
491#11924028—44no—
492#11924028—44no—
493#11924028—44no—
494#11924027—24no—
495#11924027—44no—
496#11924027—44no—
497#11924027—44no—
498C2×Dic146—22no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146—41no—
504C2×Dic146C2×D411yescharacteristic
505C2×Dic146C2411yescharacteristic
506C2×Dic146C2411yescharacteristic
507Q8×D73—22no—
508Q8×D73—41no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—41no—
516C2×D292—41no—
517C2×D292—41no—
518C2×D292—41no—
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—44no—
545C2×C22⋊D73—44no—
546C2×C22⋊D73—44no—
547C2×C22⋊D73—44no—
548C2×C22⋊D73—82no—
549C2×C22⋊D73—82no—
550C2×C22⋊D73C2×D411yescharacteristic
551C2×C22⋊D73C2×D411yescharacteristic
552D4×D73—41no—
553D4×D73—41no—
554D4×D73—41no—
555D4×D73—41no—
556D4×D73—44no—
557D4×D73—44no—
558D4×D73—44no—
559D4×D73—44no—
560D4×D73—82no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73C2×D411yescharacteristic
565C22×Dic73C2×D411yescharacteristic
566C22×Dic73C2×D411yescharacteristic
567C22×Dic73C2×D411yescharacteristic
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73C2×D411yescharacteristic
577C2×C4×D73C2×D411yescharacteristic
578C2×C4×D73C2411yescharacteristic
579#11924017—22no—
580#11924017—22no—
581#11924017—22no—
582#11924017—41no—
583#11924017—41no—
584#11924017—41no—
585#11924016—22no—
586#11924016—22no—
587#11924016—22no—
588#11924016—41no—
589#11924016—41no—
590#11924016—41no—
591#11924015—41no—
592#11924015—41no—
593#11924015—41no—
594D584—41no—
595D584—41no—
596D584—41no—
597#11924013—41no—
598#11924013—41no—
599#11924013—41no—
600#11924012—41no—
601C2×#10596831—41no—
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C2×#10596831C2411yescharacteristic
605C2×#10596831C2411yescharacteristic
606C8×D73—41no—
607C8×D73—41no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73—21no—
611C4⋊Dic73C2×D411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007C2×D411yescharacteristic
628#11924007C2×D411yescharacteristic
629#11924007C2×D411yescharacteristic
630#11924007C2×D411yescharacteristic
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73C2×D411yescharacteristic
636C22⋊Dic73C2×D411yescharacteristic
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654C4×Dic73—21no—
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73C2×D411yescharacteristic
662C4×Dic73C2×D411yescharacteristic
663C4×Dic73C2×D411yescharacteristic
664C4×Dic73C2×D411yescharacteristic
665C4×Dic73C2×D411yescharacteristic
666C4×Dic73C2×D411yescharacteristic
667C4×Dic73C2411yescharacteristic
668C4×Dic73C2411yescharacteristic
669C4×Dic73C2411yescharacteristic
670C24×C73—21no—
671C24×C73—21no—
672C2×Q8×C73C2411yescharacteristic
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—41no—
680C2×D4×C73—41no—
681C2×D4×C73—41no—
682C2×D4×C73—41no—
683C2×D4×C73—44no—
684C2×D4×C73C2×D411yescharacteristic
685C2×D4×C73C2411yescharacteristic
686C2×D4×C73C2411yescharacteristic
687C2×D4×C73C2411yescharacteristic
688C22×C4×C73—21no—
689C22×C4×C73—21no—
690C22×C4×C73C2411yescharacteristic
691C22×C4×C73C2411yescharacteristic
692SD16×C73—41no—
693SD16×C73—41no—
694SD16×C73—41no—
695M16×C73—41no—
696C2×C8×C73—41no—
697C2×C8×C73C2411yescharacteristic
698C2×C8×C73C2411yescharacteristic
699C2×C8×C73C2411yescharacteristic
700C2×C8×C73C2411yescharacteristic
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73—21no—
704C4⋊C4×C73—21no—
705C4⋊C4×C73—21no—
706C4⋊C4×C73—21no—
707C4⋊C4×C73C2×D411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C4⋊C4×C73C2411yescharacteristic
710C4⋊C4×C73C2411yescharacteristic
711C4⋊C4×C73C2411yescharacteristic
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73C2×D411yescharacteristic
719C22⋊C4×C73C2×D411yescharacteristic
720C42×C73—21no—
721C42×C73—21no—
722C42×C73C2411yescharacteristic
723C23×C73—21no—
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—42no—
727C23×C73—42no—
728C23×C73—81no—
729C23×C73—81no—
730C23×C73—81no—
731C23×C73—81no—
732C23×C73C22×D411yescharacteristic
733C23×C73C22×D411yescharacteristic
734C22×D73—21no—
735C22×D73—21no—
736C22×D73—21no—
737C22×D73—21no—
738C22×D73—42no—
739C22×D73—42no—
740C22×D73—42no—
741C22×D73—42no—
742C22×D73—81no—
743C22×D73—81no—
744C22×D73—81no—
745C22×D73—81no—
746C22×D73—81no—
747C22×D73—81no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73C22×D411yescharacteristic
751Q8×C73—21no—
752Q8×C73—21no—
753D4×C73—22no—
754D4×C73—21no—
755D4×C73—21no—
756D4×C73—21no—
757D4×C73—21no—
758D4×C73—21no—
759D4×C73—21no—
760D4×C73—42no—
761D4×C73—42no—
762D4×C73—42no—
763D4×C73—81no—
764D4×C73—81no—
765D4×C73—81no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—42no—
776C2×C4×C73—42no—
777C2×C4×C73C22×D411yescharacteristic
778C2×C4×C73C22×D411yescharacteristic
779C2×C4×C73C22×D411yescharacteristic
780C2×C4×C73C22×D411yescharacteristic
781C2×C4×C73C2511yescharacteristic
782C22⋊D73—22no—
783C22⋊D73—42no—
784C22⋊D73—42no—
785C22⋊D73—42no—
786C22⋊D73—42no—
787C22⋊D73—42no—
788C22⋊D73—42no—
789C22⋊D73—42no—
790C22⋊D73—42no—
791C22⋊D73—42no—
792C22⋊D73—42no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C22⋊D73—42no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C22⋊D73AGL(1,ℤ/8)14yescomplemented
805C2×Dic73—22no—
806C2×Dic73—21no—
807C2×Dic73—22no—
808C2×Dic73—22no—
809C2×Dic73—22no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—42no—
814C2×Dic73—42no—
815C2×Dic73—42no—
816C2×Dic73C22×D411yescharacteristic
817C2×Dic73C22×D411yescharacteristic
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823D292—21no—
824D292—21no—
825D292—21no—
826D292—21no—
827D292—21no—
828D292—21no—
829D292—21no—
830D292—21no—
831D292—42no—
832D292—42no—
833D292—42no—
834D292—81no—
835D292—81no—
836D292—81no—
837C4×D73—22no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—22no—
841C4×D73—42no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—42no—
849Dic146—21no—
850Dic146—22no—
851Dic146—21no—
852Dic146—21no—
853Dic146—42no—
854Dic146—42no—
855Dic146—42no—
856Dic146—42no—
857Dic146H(5,𝔽2)12yescomplemented
858C8×C73—21no—
859C8×C73—21no—
860C8×C73—21no—
861C8×C73—21no—
862#10596831—21no—
863#10596831—21no—
864#10596831—21no—
865#10596831—21no—
866C22×C73—21no—
867C22×C73—21no—
868C22×C73—21no—
869C22×C73—21no—
870C22×C73—21no—
871C22×C73—41no—
872C22×C73—41no—
873C22×C73—41no—
874C22×C73—41no—
875C22×C73—41no—
876C22×C73—41no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—162no—
881C22×C73—162no—
882C22×C73C2×AGL(1,ℤ/8)12yes—
883C22×C73C23×D411yescharacteristic
884C2×D73—21no—
885C2×D73—21no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—41no—
889C2×D73—41no—
890C2×D73—41no—
891C2×D73—41no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—41no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—162no—
899C2×D73—162no—
900C2×D73—162no—
901C2×D73—162no—
902C2×D73C2×AGL(1,ℤ/8)12yes—
903C4×C73—21no—
904C4×C73—21no—
905C4×C73—21no—
906C4×C73—21no—
907C4×C73—41no—
908C4×C73—41no—
909C4×C73—41no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73C2×H(5,𝔽2)11yescharacteristic
913C4×C73#58511yescharacteristic
914Dic73—22no—
915Dic73—21no—
916Dic73—21no—
917Dic73—21no—
918Dic73—21no—
919Dic73—21no—
920Dic73—41no—
921Dic73—41no—
922Dic73—41no—
923Dic73C2×AGL(1,ℤ/8)12yes—
924Dic73#57712yes—
925#61983—731nomaximal, Sylow
926C2×C73—22no—
927C2×C73—41no—
928C2×C73—81no—
929C2×C73—81no—
930C2×C73—81no—
931C2×C73#348811yescharacteristic
932C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
933C2×C73C2×#57711yescharacteristic
934D73—22no—
935D73—81no—
936D73—81no—
937D73—81no—
938D73—81no—
939#3498—731no—
940#3482—731no—
941#3397—731no—
942#3397—731no—
943#3368—731no—
944#3368—731no—
945#3310—731no—
946#3310—731no—
947#3310—731no—
948#3310D7311yescharacteristic, complemented
949#3294—731no—
950#3294—731no—
951D4×SD16—731no—
952D4×SD16—731no—
953#3265—731no—
954#3265—731no—
955#3265—731no—
956#3265—731no—
957#3254—731no—
958#3247—731no—
959#3247—731no—
960#3217—731no—
961#3217—731no—
962#3208—731no—
963#3112—731no—
964#3112—731no—
965#3106—731no—
966#3038—731no—
967C2×#460—731no—
968C2×#460—731no—
969#2990—731no—
970C73#6198311yescharacteristic, complemented, Sylow
971C2×H(5,𝔽2)—1461no—
972C2×AGL(1,ℤ/8)—731no—
973C2×AGL(1,ℤ/8)—731no—
974C22×SD16—731no—
975C22×SD16—731no—
976C22×SD16—731no—
977C22×SD16—731no—
978#557—731no—
979#556—731no—
980#556—1461no—
981#552—731no—
982#552—1461no—
983#552—1461no—
984#552C2×D7311yescharacteristic, complemented
985#550—731no—
986#550—731no—
987#550—1461no—
988D4×Q8—731no—
989#548—731no—
990#548—731no—
991#547—731no—
992#547—1461no—
993D42—731no—
994D42—731no—
995D42—731no—
996D42—731no—
997D42—731no—
998D42—1461no—
999D42—1461no—
1000D42—1461no—
1001D42C2×D7311yescharacteristic
1002#535—1461no—
1003#535—1461no—
1004#535—1461no—
1005#533—731no—
1006#533—1461no—
1007#532—731no—
1008#532—731no—
1009#532—731no—
1010C2×#127—731no—
1011C2×#127—731no—
1012C2×#127—731no—
1013#529—731no—
1014#529—731no—
1015#529—1461no—
1016#529—1461no—
1017C4×#41—731no—
1018C4×#41—731no—
1019C4×#41—1461no—
1020C2×C4×Q8—731no—
1021C2×C4×Q8—731no—
1022#496—731no—
1023#496—731no—
1024#496—731no—
1025#496—731no—
1026#492—731no—
1027#492—731no—
1028#490—731no—
1029#490—731no—
1030#490—731no—
1031#490C2×D7311yescharacteristic, complemented
1032#486—731no—
1033#486—731no—
1034#482—731no—
1035#482C2×D7311yescharacteristic, complemented
1036#480—731no—
1037#480—731no—
1038#480—731no—
1039#480C2×D7311yescharacteristic, complemented
1040#478—731no—
1041#478—731no—
1042#478—731no—
1043#478C2×D7311yescharacteristic, complemented
1044#477—731no—
1045#477—731no—
1046#477—731no—
1047#476—731no—
1048#474—731no—
1049#474—731no—
1050#468—731no—
1051#468—731no—
1052#468—731no—
1053#468C2×D7311yescharacteristic, complemented
1054#466—731no—
1055#466—731no—
1056#466—731no—
1057#466—731no—
1058#465—731no—
1059#465—731no—
1060#465—731no—
1061#465C2×D7311yescharacteristic, complemented
1062#463—731no—
1063#463—731no—
1064#463—731no—
1065#463—731no—
1066#461—731no—
1067#461—731no—
1068#460—731no—
1069#460—731no—
1070#460—731no—
1071#460—731no—
1072#460—731no—
1073#460—731no—
1074#460—731no—
1075#460—731no—
1076#460—731no—
1077#460—731no—
1078#460—731no—
1079#460—731no—
1080#460—731no—
1081#460—731no—
1082#460—731no—
1083#460—731no—
1084#460—731no—
1085#460—731no—
1086#460C2×D7311yescharacteristic, complemented
1087#459—731no—
1088#459—731no—
1089#459—731no—
1090#459—731no—
1091#459—731no—
1092#450—731no—
1093#450—731no—
1094#450—731no—
1095#450—731no—
1096#450—731no—
1097#450—731no—
1098#450C2×D7311yescharacteristic, complemented
1099#450C2×D7311yescharacteristic, complemented
1100#449—731no—
1101#449—731no—
1102#448—731no—
1103#448—731no—
1104#448—731no—
1105#448—731no—
1106#447—731no—
1107#447—731no—
1108#447—731no—
1109#447—731no—
1110#446—731no—
1111#446—731no—
1112#440—731no—
1113#440—731no—
1114#440—731no—
1115#440—731no—
1116#440—731no—
1117#440—731no—
1118#440—731no—
1119#440C2×D7311yescharacteristic, complemented
1120C4×SD16—731no—
1121C4×SD16—731no—
1122C4×D8—731no—
1123C4×D8—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435C2×D7311yescharacteristic, complemented
1128C8×D4—731no—
1129C8×D4—731no—
1130#432—731no—
1131#432—731no—
1132#431—731no—
1133#423—731no—
1134C2×C4⋊C8—731no—
1135C2×C4⋊C8—731no—
1136#418—731no—
1137#418C2×D7311yescharacteristic, complemented
1138C2×#102—731no—
1139C2×#102—731no—
1140C2×#102—731no—
1141C2×#102C2×D7311yescharacteristic, complemented
1142H(5,𝔽2)—2928no—
1143C2×#41—731no—
1144C2×#41—731no—
1145C2×#41—1461no—
1146C2×#41—1461no—
1147C2×#41—1461no—
1148C2×#41—1461no—
1149C2×#41—1461no—
1150C2×#41—1461no—
1151C22×Q8—731no—
1152C22×Q8—731no—
1153C22×D4—21no—
1154C22×D4—731no—
1155C22×D4—731no—
1156C22×D4—731no—
1157C22×D4—731no—
1158C22×D4—1461no—
1159C22×D4—1461no—
1160C22×D4—1461no—
1161C22×D4—1461no—
1162C22×D4—1461no—
1163C22×D4—1461no—
1164C22×D4—1461no—
1165C22×D4—1461no—
1166C22×D4—1461no—
1167C22×D4—1461no—
1168C22×D4—1461no—
1169C22×D4C22×D7311yescharacteristic
1170C22×D4C22×D7311yescharacteristic
1171AGL(1,ℤ/8)—2922no—
1172AGL(1,ℤ/8)—2922no—
1173C2×SD16—2922no—
1174C2×SD16—2922no—
1175C2×SD16—2922no—
1176C2×SD16—2922no—
1177C2×SD16—731no—
1178C2×SD16—731no—
1179C2×SD16—731no—
1180C2×SD16—731no—
1181C2×SD16—731no—
1182C2×SD16—731no—
1183C2×SD16—731no—
1184C2×SD16—731no—
1185C2×SD16—731no—
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16C22×D7311yescharacteristic
1193C2×SD16C22×D7311yescharacteristic
1194C2×SD16C22×D7311yescharacteristic
1195C2×D8—731no—
1196C2×D8—731no—
1197C2×D8—731no—
1198C2×D8—731no—
1199C2×D8—731no—
1200C2×D8—731no—
1201C2×M16—731no—
1202C2×M16C22×D7311yescharacteristic
1203C22×C8—731no—
1204C22×C8—731no—
1205C22×C8—731no—
1206C22×C8C22×D7311yescharacteristic
1207C4⋊Q8—731no—
1208C4⋊Q8—731no—
1209C4⋊Q8—731no—
1210C4⋊Q8—1461no—
1211C4⋊Q8—1461no—
1212#127—731no—
1213#127—731no—
1214#127—731no—
1215#127—731no—
1216#127—731no—
1217#127—731no—
1218#127—731no—
1219#127—731no—
1220#127—1461no—
1221#127—1461no—
1222#127—1461no—
1223#127—1461no—
1224#127—1461no—
1225#127—1461no—
1226#127C22×D7311yescharacteristic
1227#126—21no—
1228#126—1461no—
1229#126—1461no—
1230#126—1461no—
1231#126—1461no—
1232#126—1461no—
1233#125—21no—
1234#125—731no—
1235#125—1461no—
1236#125—1461no—
1237#125—1461no—
1238#125—1461no—
1239#125C22×D7311yescharacteristic
1240#124—731no—
1241#124—731no—
1242#124—1461no—
1243#124—1461no—
1244#124—1461no—
1245#124—1461no—
1246#124—1461no—
1247#123—21no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253C22⋊Q8—731no—
1254C22⋊Q8—731no—
1255C22⋊Q8—1461no—
1256C22⋊Q8—1461no—
1257C22⋊Q8—1461no—
1258C22⋊Q8—1461no—
1259C22⋊Q8—1461no—
1260C22⋊Q8—1461no—
1261C22⋊Q8—1461no—
1262C22⋊Q8C22×D7311yescharacteristic
1263C22⋊Q8C22×D7311yescharacteristic
1264#121—21no—
1265#121—731no—
1266#121—731no—
1267#121—731no—
1268#121—731no—
1269#121—731no—
1270#121—731no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#121—1461no—
1284#121—1461no—
1285#121—1461no—
1286#121—1461no—
1287#121C22×D7311yescharacteristic
1288#121C22×D7311yescharacteristic
1289#120—21no—
1290#120—21no—
1291#120—1461no—
1292#120—1461no—
1293#120—1461no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299#120—1461no—
1300#120—1461no—
1301C4×Q8—731no—
1302C4×Q8—731no—
1303C4×Q8—731no—
1304C4×Q8—731no—
1305C4×Q8—731no—
1306C4×Q8—731no—
1307C4×Q8—731no—
1308C4×Q8—731no—
1309C4×Q8—731no—
1310C4×Q8—1461no—
1311C4×Q8—1461no—
1312C4×Q8—1461no—
1313C4×Q8—1461no—
1314C4×Q8—1461no—
1315C4×Q8—1461no—
1316C4×Q8C22×D7311yescharacteristic
1317C4×D4—731no—
1318C4×D4—731no—
1319C4×D4—731no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—731no—
1323C4×D4—731no—
1324C4×D4—731no—
1325C4×D4—731no—
1326C4×D4—731no—
1327C4×D4—731no—
1328C4×D4—731no—
1329C4×D4—1461no—
1330C4×D4—1461no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4—1461no—
1338C4×D4—1461no—
1339C4×D4C22×D7311yescharacteristic
1340C4×D4C22×D7311yescharacteristic
1341#117—21no—
1342#117—731no—
1343#117—731no—
1344#117—731no—
1345#117—1461no—
1346#117—1461no—
1347#117—1461no—
1348#117—1461no—
1349#117—1461no—
1350#117—1461no—
1351#117C22×D7311yescharacteristic
1352C2×C4⋊C4—731no—
1353C2×C4⋊C4—1461no—
1354C2×C4⋊C4—1461no—
1355C2×C4⋊C4C22×D7311yescharacteristic
1356C2×C42—731no—
1357C2×C42—731no—
1358C2×C42—731no—
1359C2×C42—1461no—
1360C2×C42—1461no—
1361C2×C42—1461no—
1362#107—731no—
1363#107—731no—
1364#107—731no—
1365#107—731no—
1366#107C22×D7311yescharacteristic
1367#107C22×D7311yescharacteristic
1368#106—731no—
1369#106C22×D7311yescharacteristic
1370C4⋊C8—731no—
1371C4⋊C8—731no—
1372C4⋊C8—731no—
1373C4⋊C8—731no—
1374C4⋊C8—731no—
1375C4⋊C8—731no—
1376C4⋊C8—731no—
1377C4⋊C8—731no—
1378C4⋊C8—731no—
1379C4⋊C8C22×D7311yescharacteristic
1380#103—731no—
1381#103—731no—
1382#103—731no—
1383#103—731no—
1384#103—731no—
1385#103C22×D7311yescharacteristic
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102C22×D7311yescharacteristic
1404#102C22×D7311yescharacteristic
1405#102C22×D7311yescharacteristic
1406#102C22×D7311yescharacteristic
1407#102C22×D7311yescharacteristic
1408#102C22×D7311yescharacteristic
1409#102C22×D7311yescharacteristic
1410#102C22×D7311yescharacteristic
1411#102C22×D7311yescharacteristic
1412C22⋊C8—731no—
1413C22⋊C8—731no—
1414C22⋊C8—731no—
1415C22⋊C8—731no—
1416C22⋊C8C22×D7311yescharacteristic
1417C22⋊C8C22×D7311yescharacteristic
1418#97—731no—
1419#97—731no—
1420#97—731no—
1421#97C22×D7311yescharacteristic
1422C4×C8—731no—
1423C4×C8—731no—
1424C24—21no—
1425C24—21no—
1426C24—1461no—
1427C24—1461no—
1428C24—1461no—
1429C24—1461no—
1430#41—2921no—
1431#41—2924no—
1432#41—2924no—
1433#41—2924no—
1434#41—2924no—
1435#41—2924no—
1436#41—2924no—
1437#41—1462no—
1438#41—1464no—
1439C2×Q8—2921no—
1440C2×Q8—2921no—
1441C2×Q8—731no—
1442C2×Q8—731no—
1443C2×Q8—731no—
1444C2×Q8—1462no—
1445C2×Q8—1461no—
1446C2×Q8—1461no—
1447C2×Q8—1461no—
1448C2×Q8—1462no—
1449C2×Q8—1461no—
1450C2×Q8C23×D7311yescharacteristic
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—41no—
1458C2×D4—41no—
1459C2×D4—41no—
1460C2×D4—41no—
1461C2×D4—44no—
1462C2×D4—2921no—
1463C2×D4—2921no—
1464C2×D4—2921no—
1465C2×D4—2921no—
1466C2×D4—2924no—
1467C2×D4—2924no—
1468C2×D4—2924no—
1469C2×D4—2924no—
1470C2×D4—2924no—
1471C2×D4—2921no—
1472C2×D4—2921no—
1473C2×D4—2921no—
1474C2×D4—2921no—
1475C2×D4—2924no—
1476C2×D4—2924no—
1477C2×D4—2924no—
1478C2×D4—5842no—
1479C2×D4—5842no—
1480C2×D4—5842no—
1481C2×D4—731no—
1482C2×D4—731no—
1483C2×D4—731no—
1484C2×D4—731no—
1485C2×D4—731no—
1486C2×D4—731no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4—1461no—
1491C2×D4—1461no—
1492C2×D4—1461no—
1493C2×D4—1461no—
1494C2×D4—1461no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1461no—
1499C2×D4—1461no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4D4×D7311yescharacteristic
1515C2×D4C23×D7311yescharacteristic
1516C2×D4C23×D7311yescharacteristic
1517C2×D4C23×D7311yescharacteristic
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—731no—
1521C22×C4—731no—
1522C22×C4—731no—
1523C22×C4—731no—
1524C22×C4—731no—
1525C22×C4—731no—
1526C22×C4—731no—
1527C22×C4—1461no—
1528C22×C4—1461no—
1529C22×C4—1461no—
1530C22×C4—1461no—
1531C22×C4—1461no—
1532C22×C4—1461no—
1533C22×C4—1461no—
1534C22×C4—1461no—
1535C22×C4—1461no—
1536C22×C4—1461no—
1537C22×C4—1461no—
1538C22×C4C23×D7311yescharacteristic
1539C22×C4C23×D7311yescharacteristic
1540SD16—41no—
1541SD16—41no—
1542SD16—41no—
1543SD16—2921no—
1544SD16—2921no—
1545SD16—2921no—
1546SD16—2921no—
1547SD16—2921no—
1548SD16—2921no—
1549SD16—2921no—
1550SD16—2921no—
1551SD16—2921no—
1552SD16—1462no—
1553SD16—1462no—
1554SD16—1462no—
1555SD16—1462no—
1556SD16—1462no—
1557SD16—1462no—
1558D8—2921no—
1559D8—2921no—
1560D8—2921no—
1561D8—2921no—
1562D8—2921no—
1563D8—2921no—
1564M16—41no—
1565M16—2921no—
1566C2×C8—41no—
1567C2×C8—2921no—
1568C2×C8—2921no—
1569C2×C8—2921no—
1570C2×C8—731no—
1571C2×C8—731no—
1572C2×C8—731no—
1573C2×C8—731no—
1574C2×C8C23×D7311yescharacteristic
1575C2×C8C23×D7311yescharacteristic
1576C2×C8C23×D7311yescharacteristic
1577C2×C8C23×D7311yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—731no—
1585C4⋊C4—731no—
1586C4⋊C4—731no—
1587C4⋊C4—731no—
1588C4⋊C4—731no—
1589C4⋊C4—731no—
1590C4⋊C4—731no—
1591C4⋊C4—1461no—
1592C4⋊C4—1461no—
1593C4⋊C4—1461no—
1594C4⋊C4—1461no—
1595C4⋊C4—1461no—
1596C4⋊C4—1461no—
1597C4⋊C4—1461no—
1598C4⋊C4—1461no—
1599C4⋊C4—1461no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4D4×D7311yescharacteristic
1608C4⋊C4C23×D7311yescharacteristic
1609C4⋊C4C23×D7311yescharacteristic
1610C4⋊C4C23×D7311yescharacteristic
1611C4⋊C4C23×D7311yescharacteristic
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—731no—
1619C22⋊C4—731no—
1620C22⋊C4—731no—
1621C22⋊C4—731no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4D4×D7311yescharacteristic
1642C22⋊C4D4×D7311yescharacteristic
1643C42—21no—
1644C42—21no—
1645C42—731no—
1646C42—731no—
1647C42—731no—
1648C42—731no—
1649C42—731no—
1650C42—731no—
1651C42—731no—
1652C42—731no—
1653C42—731no—
1654C42—1461no—
1655C42—1461no—
1656C42—1461no—
1657C42—1461no—
1658C42—1461no—
1659C42—1461no—
1660C42—1461no—
1661C42C23×D7311yescharacteristic
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—42no—
1666C23—42no—
1667C23—81no—
1668C23—81no—
1669C23—81no—
1670C23—81no—
1671C23—2922no—
1672C23—2922no—
1673C23—2922no—
1674C23—2922no—
1675C23—5841no—
1676C23—5841no—
1677C23—5841no—
1678C23—5841no—
1679C23—5841no—
1680C23—5841no—
1681C23—5841no—
1682C23—5841no—
1683C23—731no—
1684C23—1461no—
1685C23—1461no—
1686C23—1461no—
1687C23—1461no—
1688C23C2×D4×D7311yescharacteristic
1689C23C2×D4×D7311yescharacteristic
1690Q8—21no—
1691Q8—21no—
1692Q8—2922no—
1693Q8—2922no—
1694Q8—2922no—
1695Q8—2922no—
1696Q8—732no—
1697Q8—1462no—
1698Q8—1461no—
1699Q8—1461no—
1700Q8—1461no—
1701D4—22no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—42no—
1709D4—42no—
1710D4—42no—
1711D4—81no—
1712D4—81no—
1713D4—81no—
1714D4—2922no—
1715D4—2922no—
1716D4—2922no—
1717D4—2922no—
1718D4—2922no—
1719D4—2922no—
1720D4—2922no—
1721D4—2922no—
1722D4—2922no—
1723D4—2922no—
1724D4—2922no—
1725D4—2922no—
1726D4—2922no—
1727D4—2922no—
1728D4—2922no—
1729D4—2922no—
1730D4—2922no—
1731D4—2922no—
1732D4—5841no—
1733D4—5841no—
1734D4—5841no—
1735D4—5841no—
1736D4—5841no—
1737D4—5841no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—734no—
1742D4—1462no—
1743D4—1461no—
1744D4—1461no—
1745D4—1461no—
1746D4—1461no—
1747D4—1461no—
1748D4—1461no—
1749D4—1461no—
1750D4—1461no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—2922no—
1763C2×C4—2922no—
1764C2×C4—2922no—
1765C2×C4—2922no—
1766C2×C4—2922no—
1767C2×C4—2922no—
1768C2×C4—2922no—
1769C2×C4—2922no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—731no—
1774C2×C4—731no—
1775C2×C4—731no—
1776C2×C4—731no—
1777C2×C4—731no—
1778C2×C4—731no—
1779C2×C4—731no—
1780C2×C4—1462no—
1781C2×C4—1462no—
1782C2×C4—1461no—
1783C2×C4—1461no—
1784C2×C4—1461no—
1785C2×C4—1462no—
1786C2×C4—1462no—
1787C2×C4—1462no—
1788C2×C4—1461no—
1789C2×C4—1462no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4C2×D4×D7311yescharacteristic
1793C2×C4C2×D4×D7311yescharacteristic
1794C2×C4C2×D4×D7311yescharacteristic
1795C2×C4C2×D4×D7311yescharacteristic
1796C2×C4C24×D7311yescharacteristic
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—1461no—
1802C8—1461no—
1803C8—1461no—
1804C8—1461no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—162no—
1820C22—162no—
1821C22—2921no—
1822C22—2921no—
1823C22—2921no—
1824C22—2921no—
1825C22—2921no—
1826C22—2921no—
1827C22—2921no—
1828C22—2921no—
1829C22—2921no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—732no—
1834C22—11682no—
1835C22—11682no—
1836C22—11682no—
1837C22—11682no—
1838C22—1461no—
1839C22—1461no—
1840C22AGL(1,ℤ/8)×D7312yes—
1841C22C22×D4×D7311yescharacteristic
1842C4—21no—
1843C4—21no—
1844C4—21no—
1845C4—21no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—2921no—
1852C4—2921no—
1853C4—2921no—
1854C4—732no—
1855C4—732no—
1856C4—1462no—
1857C4—1461no—
1858C4—1461no—
1859C4—1461no—
1860C4—1461no—
1861C4—1461no—
1862C4H(5,𝔽2)×D7311yescharacteristic
1863C4#1798942311yescharacteristic
1864C2—22no—
1865C2—41no—
1866C2—81no—
1867C2—81no—
1868C2—81no—
1869C2—5841no—
1870C2—5841no—
1871C2—5841no—
1872C2—5841no—
1873C2—1462no—
1874C2#2262359411yescharacteristic
1875C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1876C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3310C2
socleC22×C73C23×D4
hypercenter#3310D73
hypocenterC73#61983
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22623703C2semidirect
2. #22623545C2semidirect
3. #22622952C2semidirect
4. #22622946C2semidirect
5. #22622663C2semidirect
6. #22622657C2semidirect
7. #22621955C2semidirect
8. #22621953C2semidirect
9. #22621946C2semidirect
10. #22621742C2semidirect
11. #22621740C2semidirect
12. #22621625C2semidirect
13. #22621624C2semidirect
14. #22621433C2semidirect
15. #22621431C2semidirect
16. #22621424C2semidirect
17. #22621422C2semidirect
18. #22621313C2semidirect
19. #22621256C2semidirect
20. #22621252C2semidirect
21. #22620952C2semidirect
22. #22620950C2semidirect
23. #22620870C2semidirect
24. #22620051C2semidirect
25. #22620050C2semidirect
26. #22619986C2semidirect
27. #22619410C2semidirect
28. C2×#17988786C2semidirect
29. #460×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3310C2semidirect
33. C2×#14556619C22semidirect
34. C2×#14556617C22semidirect
35. C22×#11924017C22semidirect
36. C22×#11924016C22semidirect
37. C2×SD16×D73C22semidirect
38. C2×SD16×D73C22semidirect
39. #17989314C22semidirect
40. #17989309C22semidirect
42. #17989276C22semidirect
48. #17989250C22semidirect
49. #17989247C22semidirect
50. #17989246C22semidirect
51. #17989238C22semidirect
65. #17989139C22semidirect
72. #17989123C22semidirect
73. #17989122C22semidirect
77. #17989055C22semidirect
79. C2×#14556556C22semidirect
80. C4×Q8×D73C22semidirect
81. #17988976C22semidirect
82. #17988974C22semidirect
83. #17988973C22semidirect
84. #17988973C22semidirect
85. #17988958C22semidirect
86. #17988958C22semidirect
87. #17988953C22semidirect
88. #17988950C22semidirect
89. #17988950C22semidirect
90. #17988932C22semidirect
91. #17988932C22semidirect
92. #17988911C22semidirect
93. #17988902C22semidirect
94. #17988900C22semidirect
95. #17988899C22semidirect
96. #17988886C22semidirect
97. #17988885C22semidirect
98. #17988884C22semidirect
99. #17988881C22semidirect
100. #17988881C22semidirect
101. #17988880C22semidirect
102. #17988876C22semidirect
103. #17988866C22semidirect
104. #17988865C22semidirect
105. #17988835C22semidirect
106. #17988833C22semidirect
107. #17988831C22semidirect
108. #17988824C22semidirect
109. #17988823C22semidirect
110. #17988822C22semidirect
111. #17988821C22semidirect
112. #17988818C22semidirect
113. #17988817C22semidirect
114. #17988815C22semidirect
115. #17988805C22semidirect
116. #17988804C22semidirect
117. #17988803C22semidirect
118. #17988802C22semidirect
119. #17988791C22semidirect
120. #17988790C22semidirect
121. #17988788C22semidirect
122. #17988787C22semidirect
123. #17988786C22semidirect
124. #17988786C22semidirect
125. #17988786C22semidirect
126. #17988786C22semidirect
127. #17988786C22semidirect
128. #17988786C22semidirect
129. #17988786C22semidirect
130. #17988786C22semidirect
131. #17988786C22semidirect
132. #17988786C22semidirect
133. #17988786C22semidirect
134. #17988786C22semidirect
135. #17988785C22semidirect
136. #17988785C22semidirect
137. #17988785C22semidirect
138. #17988784C22semidirect
139. #17988781C22semidirect
140. #17988781C22semidirect
141. #17988781C22semidirect
142. #17988781C22semidirect
143. #17988781C22semidirect
144. #17988740C22semidirect
145. #17988739C22semidirect
146. #17988739C22semidirect
147. #17988738C22semidirect
148. #17988737C22semidirect
149. #17988737C22semidirect
150. #17988734C22semidirect
151. #17988730C22semidirect
152. #17988728C22semidirect
153. #17988727C22semidirect
154. #17988725C22semidirect
155. #17988724C22semidirect
156. #17988723C22semidirect
157. #17988722C22semidirect
158. #17988722C22semidirect
159. #17988721C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988689C22semidirect
163. #17988687C22semidirect
164. #17988686C22semidirect
165. #17988686C22semidirect
166. #17988685C22semidirect
167. #17988684C22semidirect
168. #17988684C22semidirect
169. #17988678C22semidirect
170. #17988674C22semidirect
171. #17988669C22semidirect
172. #17988667C22semidirect
173. #17988661C22semidirect
174. #17988659C22semidirect
175. #17988656C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988650C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988591C22semidirect
185. C2×#14556511C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. #552×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
193. #478×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #450×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #418×C73C22semidirect
202. C2×#102×C73C22semidirect
804. C22⋊D73AGL(1,ℤ/8)semidirect
857. Dic146H(5,𝔽2)semidirect
948. #3310D73semidirect
970. C73#61983semidirect
984. #552C2×D73semidirect
1031. #490C2×D73semidirect
1035. #482C2×D73semidirect
1039. #480C2×D73semidirect
1043. #478C2×D73semidirect
1053. #468C2×D73semidirect
1061. #465C2×D73semidirect
1086. #460C2×D73semidirect
1098. #450C2×D73semidirect
1099. #450C2×D73semidirect
1119. #440C2×D73semidirect
1127. #435C2×D73semidirect
1137. #418C2×D73semidirect
1141. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237032
#226235452
#226229522
#226229462
#226226632
#226226572
#226219552
#226219532
#226219462
#226217422
#226217402
#226216252
#226216242
#226214332
#226214312
#226214242
#226214222
#226213132
#226212562
#226212522
#226209522
#226209502
#226208702
#226200512
#226200502
#226199862
#226194102
C2×#179887862
#460×D732
#226190512
C73×#33102
#6198373