Finite Group Databasebeta

← #33971646

Subgroups — #33971646

Order 18688.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624222C211yesmaximal, characteristic, complemented
2#22623570C211yesmaximal, characteristic, complemented
3#22622250C211yesmaximal, characteristic, complemented
4#22622138C211yesmaximal, characteristic, complemented
5#22622033C211yesmaximal, characteristic, complemented
6#22622017C211yesmaximal, characteristic, complemented
7#22621969C211yesmaximal, characteristic, complemented
8#22621911C211yesmaximal, characteristic, complemented
9#22621848C211yesmaximal, characteristic, complemented
10#22621759C211yesmaximal, characteristic, complemented
11#22621646C211yesmaximal, characteristic, complemented
12#22621639C211yesmaximal, characteristic, complemented
13#22621571C211yesmaximal, characteristic, complemented
14#22621568C211yesmaximal, characteristic, complemented
15#22621485C211yesmaximal, characteristic, complemented
16#22621456C211yesmaximal, characteristic, complemented
17#22621434C211yesmaximal, characteristic, complemented
18#22621035C211yesmaximal, characteristic, complemented
19#22621013C211yesmaximal, characteristic, complemented
20#22620824C211yesmaximal, characteristic, complemented
21#22620808C211yesmaximal, characteristic, complemented
22#22620772C211yesmaximal, characteristic, complemented
23#22620713C211yesmaximal, characteristic, complemented
24#22620182C211yesmaximal, characteristic, complemented
25#22620114C211yesmaximal, characteristic, complemented
26#22619233C211yesmaximal, characteristic, complemented
27#22619207C211yesmaximal, characteristic, complemented
28#22619188C211yesmaximal, characteristic, complemented
29#22619145C211yesmaximal, characteristic, complemented
30#22618980C211yesmaximal, characteristic, complemented
31C73×#3269C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556615C2211yescharacteristic, complemented
37C2×#14556612C2211yescharacteristic, complemented
38C2×#14556611C2211yescharacteristic, complemented
39C22×#11924015C2211yescharacteristic, complemented
40#17989337—21no—
41#17989332—21no—
42#17989307C2211yescharacteristic, complemented
43#17989297C2211yescharacteristic, complemented
44#17989291—21no—
45#17989287—21no—
46#17989284C2211yescharacteristic, complemented
47#17989271C2211yescharacteristic, complemented
48Q8×C22⋊D73C2211yescharacteristic, complemented
49#17989245C2211yescharacteristic, complemented
50#17989240C2211yescharacteristic
51#17989239C2211yescharacteristic
52#17989238—21no—
53#17989236C2211yescharacteristic
54#17989236C2211yescharacteristic, complemented
55#17989235—21no—
56#17989233C2211yescharacteristic
57#17989232C2211yescharacteristic
58#17989229—21no—
59#17989228C2211yescharacteristic
60#17989226—21no—
61#17989225C2211yescharacteristic
62#17989207—21no—
63#17989206C2211yescharacteristic, complemented
64#17989195C2211yescharacteristic, complemented
65#17989179—21no—
66#17989171—21no—
67#17989169—21no—
68#17989166C2211yescharacteristic
69#17989162C2211yescharacteristic
70#17989161C2211yescharacteristic
71#17989160C2211yescharacteristic
72#17989148—21no—
73#17989145—21no—
74#17989100C2211yescharacteristic
75#17989096C2211yescharacteristic
76#17989094C2211yescharacteristic, complemented
77C2×#14556576—21no—
78#123×D73—21no—
79C22⋊Q8×D73C2211yescharacteristic, complemented
80#17989059C2211yescharacteristic
81#17988980C2211yescharacteristic, complemented
82#17988969C2211yescharacteristic, complemented
83#17988965C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988937C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988926C2211yescharacteristic, complemented
92#17988925C2211yescharacteristic, complemented
93#17988925C2211yescharacteristic, complemented
94#17988924C2211yescharacteristic, complemented
95#17988916C2211yescharacteristic, complemented
96#17988916C2211yescharacteristic, complemented
97#17988912C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988878C2211yescharacteristic, complemented
103#17988867C2211yescharacteristic, complemented
104#17988845C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988842C2211yescharacteristic, complemented
107#17988842C2211yescharacteristic, complemented
108#17988839C2211yescharacteristic, complemented
109#17988836C2211yescharacteristic, complemented
110#17988830C2211yescharacteristic, complemented
111#17988827C2211yescharacteristic, complemented
112#17988826C2211yescharacteristic, complemented
113#17988826C2211yescharacteristic, complemented
114#17988825C2211yescharacteristic, complemented
115#17988818C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988814C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988809C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988795C2211yescharacteristic, complemented
124#17988794C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic, complemented
126#17988790C2211yescharacteristic, complemented
127#17988790C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic
129#17988751C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988749C2211yescharacteristic, complemented
132#17988749C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic
134#17988748C2211yescharacteristic
135#17988748C2211yescharacteristic, complemented
136#17988748C2211yescharacteristic, complemented
137#17988748C2211yescharacteristic, complemented
138#17988747C2211yescharacteristic, complemented
139#17988746C2211yescharacteristic, complemented
140#17988746C2211yescharacteristic, complemented
141#17988744C2211yescharacteristic, complemented
142#17988743C2211yescharacteristic, complemented
143#17988741C2211yescharacteristic, complemented
144#17988741C2211yescharacteristic, complemented
145#17988741C2211yescharacteristic, complemented
146#17988740C2211yescharacteristic, complemented
147#17988739C2211yescharacteristic
148#17988736C2211yescharacteristic
149#17988736C2211yescharacteristic
150#17988736C2211yescharacteristic, complemented
151#17988736C2211yescharacteristic, complemented
152#17988732C2211yescharacteristic, complemented
153#17988731C2211yescharacteristic
154#17988731C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988727C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic
160#17988699C2211yescharacteristic, complemented
161#17988690C2211yescharacteristic, complemented
162#17988689C2211yescharacteristic, complemented
163SD16×Dic73C2211yescharacteristic, complemented
164C4×#11924015C2211yescharacteristic, complemented
165C4×#11924016C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988664C2211yescharacteristic, complemented
168#17988663C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic, complemented
172D4×#10596831C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988593C2211yescharacteristic, complemented
177#17988587C2211yescharacteristic, complemented
178#17988587C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988584C2211yescharacteristic, complemented
181#17988583C2211yescharacteristic, complemented
182#17988583C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988549C2211yescharacteristic, complemented
187C2×#14556503C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191#547×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#451×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924027—21no—
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215#41×D73—42no—
216#41×D73—42no—
217C2×Q8×D73C2311yescharacteristic
218C2×Q8×D73C2311yescharacteristic
219C22×D292—21no—
220C22×D292C2311yescharacteristic
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73C2311yescharacteristic
225C2×D4×D73C2311yescharacteristic
226C22×C4×D73—21no—
227C22×C4×D73C2311yescharacteristic
228#14556623—42no—
229#14556620—42no—
230#14556615—42no—
231#14556612—42no—
232#14556611—42no—
233C2×Dic292C2311yescharacteristic
234C2×#11924018C2311yescharacteristic
235C2×#11924018C2311yescharacteristic
236C2×#11924018C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924017C2311yescharacteristic
239C2×#11924017C2311yescharacteristic
240C2×#11924016C2311yescharacteristic
241C2×#11924016C2311yescharacteristic
242C2×#11924015—42no—
243C2×#11924015C2311yescharacteristic
244C2×#11924015C2311yescharacteristic
245C2×#11924015C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×#11924013C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924011C2311yescharacteristic
250C2×#11924011C2311yescharacteristic
251C2×#11924011C2311yescharacteristic
252C22×#10596831C2311yescharacteristic
253C22×#10596831C2311yescharacteristic
254C2×C8×D73C2311yescharacteristic
255#14556591C2311yescharacteristic
256#14556590—21no—
257#14556589—21no—
258#14556589—21no—
259#14556589C2311yescharacteristic
260#14556589C2311yescharacteristic
261#14556586—21no—
262#14556585—21no—
263#14556584—21no—
264#14556584—21no—
265#14556584—21no—
266#14556584—21no—
267#14556584—21no—
268#14556583—21no—
269#14556583—21no—
270#14556582C2311yescharacteristic
271#14556581—21no—
272#14556581—21no—
273#14556580—21no—
274#14556580C2311yescharacteristic
275#14556579C2311yescharacteristic
276#14556578—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576D411yescharacteristic
290#14556575—21no—
291#14556575—21no—
292#14556574—21no—
293#14556574—21no—
294#14556574—21no—
295#14556574—21no—
296#14556574—21no—
297#14556573—21no—
298#14556573—21no—
299#14556573—21no—
300#14556573D411yescharacteristic
301#14556572—21no—
302#14556572—21no—
303#14556572—21no—
304#14556572—21no—
305#14556571C2311yescharacteristic
306#14556571C2311yescharacteristic
307#14556570—21no—
308#14556570C2311yescharacteristic
309#14556570C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556569—21no—
312#14556569—21no—
313#14556569—21no—
314#14556569—21no—
315#14556569—21no—
316#14556569D411yescharacteristic
317#14556568—21no—
318#14556568—21no—
319#14556568—21no—
320#14556568—21no—
321#14556568D411yescharacteristic
322#14556567—21no—
323#14556567C2311yescharacteristic
324#14556567C2311yescharacteristic
325#14556567C2311yescharacteristic
326#14556567C2311yescharacteristic
327#14556567C2311yescharacteristic
328#14556567C2311yescharacteristic
329#14556567C2311yescharacteristic
330#14556566—21no—
331#14556566—21no—
332#14556566C2311yescharacteristic
333#14556565—21no—
334#14556565C2311yescharacteristic
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564D411yescharacteristic
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563D411yescharacteristic
345#14556562—21no—
346#14556562—21no—
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556561—21no—
350#14556561—21no—
351#14556561—21no—
352#14556561D411yescharacteristic
353#14556559—21no—
354#14556559—21no—
355#14556559—21no—
356#14556559D411yescharacteristic
357Q8×Dic73C2311yescharacteristic
358C4×Dic146C2311yescharacteristic
359#14556556—21no—
360C4×D292—21no—
361C4×D292C2311yescharacteristic
362C4×D292C2311yescharacteristic
363D4×Dic73C2311yescharacteristic
364D4×Dic73C2311yescharacteristic
365#14556553—21no—
366#14556553C2311yescharacteristic
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73C2311yescharacteristic
372C4×C22⋊D73C2311yescharacteristic
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556550C2311yescharacteristic
378#14556550C2311yescharacteristic
379#14556549—21no—
380#14556549C2311yescharacteristic
381#14556548C2311yescharacteristic
382C2×#11924007—21no—
383C2×#11924007—21no—
384C4⋊C4×D73—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C4⋊C4×D73C2311yescharacteristic
389C2×#11924005—21no—
390C2×#11924005—21no—
391C2×#11924005—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556501C2311yescharacteristic
443C4×#10596831C2311yescharacteristic
444C8×Dic73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×Q8×C73C2311yescharacteristic
449#137×C73—42no—
450#135×C73—42no—
451C2×Q16×C73C2311yescharacteristic
452C2×Q16×C73C2311yescharacteristic
453C2×Q16×C73C2311yescharacteristic
454C2×Q16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C2×SD16×C73C2311yescharacteristic
458C2×SD16×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×M16×C73C2311yescharacteristic
461C22×C8×C73C2311yescharacteristic
462C4⋊Q8×C73C2311yescharacteristic
463#124×C73—21no—
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466#123×C73—21no—
467C22⋊Q8×C73—21no—
468C22⋊Q8×C73C2311yescharacteristic
469C22⋊Q8×C73C2311yescharacteristic
470C22⋊Q8×C73C2311yescharacteristic
471#121×C73—21no—
472#121×C73—21no—
473#121×C73C2311yescharacteristic
474C4×Q8×C73C2311yescharacteristic
475C4×D4×C73—21no—
476C4×D4×C73C2311yescharacteristic
477C4×D4×C73C2311yescharacteristic
478C2×C4⋊C4×C73—21no—
479#107×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#103×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73C2×D411yescharacteristic
494#11924029—22no—
495#11924029—22no—
496#11924029—41no—
497#11924029—41no—
498#11924029—41no—
499#11924029—41no—
500#11924028—22no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—44no—
505#11924028—44no—
506#11924027—22no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—44no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146C2×D411yescharacteristic
515C2×Dic146C2411yescharacteristic
516C2×Dic146C2411yescharacteristic
517Q8×D73—41no—
518Q8×D73—41no—
519Q8×D73—41no—
520Q8×D73—41no—
521C2×D292—22no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—41no—
528C2×D292—44no—
529C2×D292C2×D411yescharacteristic
530C2×D292C2×D411yescharacteristic
531C2×D292C2411yescharacteristic
532C2×D292C2411yescharacteristic
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⋊D73C2×D411yescharacteristic
542C2×C22⋊D73C2×D411yescharacteristic
543C2×C22⋊D73C2×D411yescharacteristic
544C2×C22⋊D73C2×D411yescharacteristic
545D4×D73—22no—
546D4×D73—22no—
547D4×D73—22no—
548D4×D73—41no—
549D4×D73—44no—
550D4×D73—44no—
551D4×D73—44no—
552C22×Dic73—21no—
553C22×Dic73—21no—
554C22×Dic73—21no—
555C22×Dic73—21no—
556C22×Dic73C2×D411yescharacteristic
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—41no—
568C2×C4×D73—41no—
569C2×C4×D73—44no—
570C2×C4×D73C2×D411yescharacteristic
571C2×C4×D73C2×D411yescharacteristic
572C2×C4×D73C2411yescharacteristic
573C2×C4×D73C2411yescharacteristic
574C2×C4×D73C2411yescharacteristic
575Dic292—41no—
576#11924018—41no—
577#11924018—41no—
578#11924018—41no—
579#11924018—41no—
580#11924017—22no—
581#11924017—41no—
582#11924016—22no—
583#11924016—41no—
584#11924015—22no—
585#11924015—22no—
586#11924015—41no—
587#11924015—41no—
588#11924013—22no—
589#11924013—41no—
590#11924011—41no—
591#11924011—41no—
592#11924011—41no—
593C2×#10596831—41no—
594C2×#10596831—41no—
595C2×#10596831C2411yescharacteristic
596C2×#10596831C2411yescharacteristic
597C2×#10596831C2411yescharacteristic
598C2×#10596831C2411yescharacteristic
599C8×D73—41no—
600C4⋊Dic73—21no—
601C4⋊Dic73—21no—
602C4⋊Dic73—21no—
603C4⋊Dic73—21no—
604C4⋊Dic73—21no—
605C4⋊Dic73C2×D411yescharacteristic
606C4⋊Dic73C2411yescharacteristic
607C4⋊Dic73C2411yescharacteristic
608C4⋊Dic73C2411yescharacteristic
609C4⋊Dic73C2411yescharacteristic
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
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#11924007—21no—
628#11924007C2×D411yescharacteristic
629#11924007C2×D411yescharacteristic
630#11924007C2×D411yescharacteristic
631#11924007C2×D411yescharacteristic
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73C2×D411yescharacteristic
642C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005C2×D411yescharacteristic
662#11924005C2×D411yescharacteristic
663#11924005C2×D411yescharacteristic
664#11924005C2×D411yescharacteristic
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667C4×Dic73—21no—
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73C2411yescharacteristic
673#41×C73—22no—
674#41×C73—22no—
675#41×C73—41no—
676#41×C73—41no—
677#41×C73—41no—
678#41×C73—41no—
679C2×Q8×C73—21no—
680C2×Q8×C73—41no—
681C2×Q8×C73—41no—
682C2×Q8×C73C2411yescharacteristic
683C2×Q8×C73C2411yescharacteristic
684C2×Q8×C73C2411yescharacteristic
685C2×Q8×C73C2411yescharacteristic
686C2×D4×C73—21no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73C2×D411yescharacteristic
691C2×D4×C73C2411yescharacteristic
692C2×D4×C73C2411yescharacteristic
693C22×C4×C73—21no—
694C22×C4×C73—21no—
695C22×C4×C73—21no—
696C22×C4×C73—21no—
697C22×C4×C73—21no—
698C22×C4×C73C2411yescharacteristic
699C22×C4×C73C2411yescharacteristic
700Q16×C73—41no—
701Q16×C73—41no—
702Q16×C73—41no—
703Q16×C73—41no—
704SD16×C73—22no—
705SD16×C73—22no—
706SD16×C73—41no—
707SD16×C73—41no—
708D8×C73—22no—
709M16×C73—41no—
710C2×C8×C73—41no—
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73C2×D411yescharacteristic
722C4⋊C4×C73C2411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C22⋊C4×C73—21no—
725C22⋊C4×C73—21no—
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73C2×D411yescharacteristic
732C22⋊C4×C73C2×D411yescharacteristic
733C42×C73—21no—
734C42×C73C2411yescharacteristic
735C23×C73—21no—
736C23×C73—21no—
737C23×C73C22×D411yescharacteristic
738C23×C73C22×D411yescharacteristic
739C22×D73—21no—
740C22×D73—24no—
741C22×D73—21no—
742C22×D73—41no—
743C22×D73—41no—
744C22×D73—41no—
745C22×D73—42no—
746C22×D73—42no—
747C22×D73—81no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73C22×D411yescharacteristic
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—21no—
761Q8×C73—21no—
762Q8×C73—21no—
763Q8×C73—21no—
764Q8×C73—81no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—41no—
769D4×C73—42no—
770D4×C73—42no—
771D4×C73—81no—
772D4×C73—81no—
773D4×C73H(5,𝔽2)12yes—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—42no—
785C2×C4×C73—42no—
786C2×C4×C73—81no—
787C2×C4×C73—81no—
788C2×C4×C73—81no—
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C2511yescharacteristic
794C22⋊D73—24no—
795C22⋊D73—41no—
796C22⋊D73—41no—
797C22⋊D73—41no—
798C22⋊D73—41no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C2×Dic73—21no—
807C2×Dic73—21no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—41no—
813C2×Dic73—42no—
814C2×Dic73—81no—
815C2×Dic73—81no—
816C2×Dic73—81no—
817C2×Dic73C22×D411yescharacteristic
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821C2×Dic73C22×D411yescharacteristic
822D292—21no—
823D292—21no—
824D292—21no—
825D292—41no—
826D292—41no—
827D292—42no—
828D292—42no—
829D292—42no—
830D292—42no—
831D292—81no—
832D292H(5,𝔽2)12yes—
833C4×D73—21no—
834C4×D73—21no—
835C4×D73—21no—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—41no—
840C4×D73—41no—
841C4×D73—42no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—81no—
847C4×D73—81no—
848C4×D73—81no—
849C4×D73—81no—
850C4×D73—81no—
851Dic146—21no—
852Dic146—21no—
853Dic146—21no—
854Dic146—21no—
855Dic146—41no—
856Dic146—42no—
857Dic146—81no—
858Dic146—81no—
859C8×C73—21no—
860C8×C73—21no—
861C8×C73—21no—
862C8×C73—21no—
863#10596831—21no—
864#10596831—21no—
865#10596831—21no—
866#10596831—21no—
867C22×C73—21no—
868C22×C73—21no—
869C22×C73—21no—
870C22×C73—21no—
871C22×C73—22no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—41no—
875C22×C73—41no—
876C22×C73—41no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73C23×D411yescharacteristic
880C2×D73—21no—
881C2×D73—21no—
882C2×D73—21no—
883C2×D73—21no—
884C2×D73—21no—
885C2×D73—21no—
886C2×D73—21no—
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—22no—
890C2×D73—41no—
891C2×D73—41no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—84no—
896C2×D73—82no—
897C2×D73—162no—
898C2×D73—162no—
899C4×C73—21no—
900C4×C73—21no—
901C4×C73—21no—
902C4×C73—21no—
903C4×C73—41no—
904C4×C73—41no—
905C4×C73—41no—
906C4×C73—41no—
907C4×C73—41no—
908C4×C73—41no—
909C4×C73C2×H(5,𝔽2)11yescharacteristic
910C4×C73C2×H(5,𝔽2)11yescharacteristic
911Dic73—21no—
912Dic73—21no—
913Dic73—21no—
914Dic73—21no—
915Dic73—21no—
916Dic73—41no—
917Dic73—41no—
918Dic73—41no—
919Dic73—41no—
920Dic73—41no—
921Dic73—41no—
922#61613—731nomaximal, Sylow
923C2×C73—42no—
924C2×C73—41no—
925C2×C73—41no—
926C2×C73—81no—
927C2×C73#348411yescharacteristic
928C2×C73#358411yescharacteristic
929C2×C73#358611yescharacteristic
930D73—41no—
931D73—41no—
932D73—41no—
933D73—42no—
934D73—81no—
935#3541—731no—
936#3485—731no—
937#3331—731no—
938#3322—731no—
939#3315—731no—
940#3314—731no—
941#3311—731no—
942#3307—731no—
943#3302—731no—
944#3296—731no—
945#3283—731no—
946#3282—731no—
947#3276—731no—
948#3275—731no—
949#3269—731no—
950#3269D7311yescharacteristic, complemented
951#3267—731no—
952#3266—731no—
953#3225—731no—
954#3223—731no—
955#3202—731no—
956#3201—731no—
957#3197—731no—
958#3190—731no—
959#3123—731no—
960#3118—731no—
961#3012—731no—
962#3009—731no—
963#3007—731no—
964#3002—731no—
965#2976—731no—
966C73#6161311yescharacteristic, complemented, Sylow
967C2×H(5,𝔽2)—731no—
968C22×#41—731no—
969C2×#137—731no—
970C2×#137—731no—
971C2×#137C2×D7311yescharacteristic, complemented
972C2×AGL(1,ℤ/8)—731no—
973C2×#135—731no—
974C2×#135—731no—
975C2×#135C2×D7311yescharacteristic, complemented
976C22×SD16—731no—
977#563—1461no—
978#562—1461no—
979#556—731no—
980#554—731no—
981#554—1461no—
982#553—731no—
983#553—1461no—
984#552—731no—
985D4×Q8—731no—
986#548—731no—
987#548C2×D7311yescharacteristic, complemented
988#547—731no—
989#547—731no—
990#547—731no—
991#547—731no—
992#547—1461no—
993#547—1461no—
994#547C2×D7311yescharacteristic
995#546—731no—
996#546—731no—
997#546—731no—
998#546—731no—
999#546—1461no—
1000#546—1461no—
1001#542—731no—
1002#542—1461no—
1003#541—731no—
1004#539—1461no—
1005#538—1461no—
1006#538—1461no—
1007#537—731no—
1008#536—731no—
1009#536—731no—
1010#536—731no—
1011#534—1461no—
1012#534—1461no—
1013#525—731no—
1014#525—731no—
1015#525—731no—
1016C2×#123—1461no—
1017C2×#123—1461no—
1018C2×C22⋊Q8—731no—
1019#518—731no—
1020#497—731no—
1021#497C2×D7311yescharacteristic, complemented
1022#495—731no—
1023#494—731no—
1024#491—731no—
1025#489—731no—
1026#488—731no—
1027#487—731no—
1028#485—731no—
1029#485—731no—
1030#485—731no—
1031#485—731no—
1032#485—731no—
1033#485—731no—
1034#484—731no—
1035#483—731no—
1036#483—731no—
1037#482—731no—
1038#482—731no—
1039#480—731no—
1040#478—731no—
1041#478—731no—
1042#476—731no—
1043#474—731no—
1044#470—731no—
1045#470—731no—
1046#470—731no—
1047#470—731no—
1048#469—731no—
1049#468—731no—
1050#468—731no—
1051#468C2×D7311yescharacteristic, complemented
1052#467—731no—
1053#467—731no—
1054#467—731no—
1055#467—731no—
1056#467C2×D7311yescharacteristic, complemented
1057#465—731no—
1058#465—731no—
1059#465—731no—
1060#464—731no—
1061#464—731no—
1062#464—731no—
1063#463—731no—
1064#463—731no—
1065#463C2×D7311yescharacteristic, complemented
1066#462—731no—
1067#462—731no—
1068#462C2×D7311yescharacteristic, complemented
1069#461—731no—
1070#461—731no—
1071#461—731no—
1072#452—731no—
1073#452—731no—
1074#452—731no—
1075#452—731no—
1076#452—731no—
1077#452—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452C2×D7311yescharacteristic, complemented
1086#452C2×D7311yescharacteristic, complemented
1087#451—731no—
1088#451—731no—
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451C2×D7311yescharacteristic, complemented
1093#450—731no—
1094#450—731no—
1095#450—731no—
1096#450—731no—
1097#450—731no—
1098#450—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449C2×D7311yescharacteristic, complemented
1104#448—731no—
1105#448—731no—
1106#447—731no—
1107#447—731no—
1108#442—731no—
1109#440—731no—
1110#440—731no—
1111#440C2×D7311yescharacteristic, complemented
1112C4×SD16—731no—
1113C4×SD16—731no—
1114C4×SD16—731no—
1115C4×D8—731no—
1116#436—731no—
1117#436—731no—
1118#435—731no—
1119#435—731no—
1120#435—731no—
1121#435C2×D7311yescharacteristic, complemented
1122C8×D4—731no—
1123C8×D4—731no—
1124#433—731no—
1125#433—731no—
1126#418—731no—
1127#417—731no—
1128#417—731no—
1129#417—731no—
1130#416—731no—
1131#416—731no—
1132#416—731no—
1133C2×#102—731no—
1134#408—731no—
1135#408—731no—
1136#407—731no—
1137C2×C22⋊C8—731no—
1138H(5,𝔽2)—2922no—
1139H(5,𝔽2)—2922no—
1140C2×#41—2922no—
1141C2×#41—2922no—
1142C2×#41—731no—
1143C2×#41—731no—
1144C2×#41—731no—
1145C2×#41—731no—
1146C2×#41—731no—
1147C2×#41—731no—
1148C2×#41—731no—
1149C2×#41—1461no—
1150C2×#41—1461no—
1151C2×#41—1461no—
1152C2×#41C22×D7311yescharacteristic
1153C2×#41C22×D7311yescharacteristic
1154C2×#41C22×D7311yescharacteristic
1155C22×Q8—731no—
1156C22×Q8—731no—
1157C22×Q8C22×D7311yescharacteristic
1158C22×D4—731no—
1159C22×D4—731no—
1160C22×D4—731no—
1161C22×D4—1461no—
1162C22×D4—1461no—
1163C22×D4—1461no—
1164C22×D4—1461no—
1165C23×C4—731no—
1166C23×C4—1461no—
1167#137—42no—
1168#137—2922no—
1169#137—2922no—
1170AGL(1,ℤ/8)—2922no—
1171#135—42no—
1172#135—2922no—
1173#135—2922no—
1174C2×Q16—731no—
1175C2×Q16—731no—
1176C2×Q16—731no—
1177C2×Q16—731no—
1178C2×Q16—731no—
1179C2×Q16C22×D7311yescharacteristic
1180C2×Q16C22×D7311yescharacteristic
1181C2×Q16C22×D7311yescharacteristic
1182C2×Q16C22×D7311yescharacteristic
1183C2×SD16—2922no—
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×SD16C22×D7311yescharacteristic
1196C2×D8—731no—
1197C2×D8—731no—
1198C2×D8C22×D7311yescharacteristic
1199C2×M16—731no—
1200C2×M16—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—
1212C4⋊Q8—1461no—
1213C4⋊Q8C22×D7311yescharacteristic
1214#126—1461no—
1215#126—1461no—
1216#126—1461no—
1217#126—1461no—
1218#126—1461no—
1219#126—1461no—
1220#126—1461no—
1221#125—731no—
1222#125—1461no—
1223#125—1461no—
1224#125—1461no—
1225#125—1461no—
1226#124—21no—
1227#124—731no—
1228#124—731no—
1229#124—1461no—
1230#124—1461no—
1231#124—1461no—
1232#124—1461no—
1233#124—1461no—
1234#124C22×D7311yescharacteristic
1235#123—21no—
1236#123—21no—
1237#123—731no—
1238#123—731no—
1239#123—1461no—
1240#123—1461no—
1241#123—1461no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262C22⋊Q8—21no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—731no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8C22×D7311yescharacteristic
1289C22⋊Q8C22×D7311yescharacteristic
1290C22⋊Q8C22×D7311yescharacteristic
1291#121—21no—
1292#121—21no—
1293#121—731no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121C22×D7311yescharacteristic
1313#120—731no—
1314#120—731no—
1315#120—1461no—
1316#120—1461no—
1317#120—1461no—
1318#120—1461no—
1319#120—1461no—
1320#120—1461no—
1321C4×Q8—731no—
1322C4×Q8—731no—
1323C4×Q8—1461no—
1324C4×Q8C22×D7311yescharacteristic
1325C4×D4—21no—
1326C4×D4—731no—
1327C4×D4—731no—
1328C4×D4—731no—
1329C4×D4—731no—
1330C4×D4—731no—
1331C4×D4—731no—
1332C4×D4—731no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4—1461no—
1338C4×D4—1461no—
1339C4×D4—1461no—
1340C4×D4—1461no—
1341C4×D4—1461no—
1342C4×D4—1461no—
1343C4×D4C22×D7311yescharacteristic
1344C4×D4C22×D7311yescharacteristic
1345#117—731no—
1346#117—731no—
1347#117—731no—
1348#117—731no—
1349#117—1461no—
1350C2×C4⋊C4—21no—
1351C2×C4⋊C4—731no—
1352C2×C4⋊C4—731no—
1353C2×C4⋊C4—1461no—
1354C2×C4⋊C4—1461no—
1355C2×C4⋊C4—1461no—
1356C2×C4⋊C4—1461no—
1357C2×C4⋊C4—1461no—
1358C2×C22⋊C4—1461no—
1359C2×C22⋊C4—1461no—
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C22⋊C4—1461no—
1364C2×C22⋊C4—1461no—
1365#107—731no—
1366#107—731no—
1367#107—731no—
1368#107C22×D7311yescharacteristic
1369#106—731no—
1370#106—731no—
1371#106—731no—
1372#106—731no—
1373C4⋊C8—731no—
1374C4⋊C8—731no—
1375C4⋊C8—731no—
1376C4⋊C8C22×D7311yescharacteristic
1377#103—731no—
1378#103—731no—
1379#103—731no—
1380#103—731no—
1381#103—731no—
1382#103—731no—
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103C22×D7311yescharacteristic
1392#103C22×D7311yescharacteristic
1393#103C22×D7311yescharacteristic
1394#103C22×D7311yescharacteristic
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#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102C22×D7311yescharacteristic
1408#102C22×D7311yescharacteristic
1409C22⋊C8—731no—
1410C22⋊C8—731no—
1411C22⋊C8—731no—
1412C22⋊C8—731no—
1413C22⋊C8—731no—
1414C22⋊C8—731no—
1415C22⋊C8—731no—
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8C22×D7311yescharacteristic
1420C22⋊C8C22×D7311yescharacteristic
1421#97—731no—
1422#97C22×D7311yescharacteristic
1423C4×C8—731no—
1424C4×C8—731no—
1425C24—731no—
1426C24—1461no—
1427C24—1461no—
1428C24—1461no—
1429#41—22no—
1430#41—22no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—2921no—
1436#41—2921no—
1437#41—2921no—
1438#41—2924no—
1439#41—2924no—
1440#41—2924no—
1441#41—2921no—
1442#41—2921no—
1443#41—2921no—
1444#41—2921no—
1445#41—2921no—
1446#41—2921no—
1447#41—2921no—
1448#41—1462no—
1449#41—1462no—
1450#41—1462no—
1451#41—1462no—
1452C2×Q8—21no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—2921no—
1456C2×Q8—2921no—
1457C2×Q8—2921no—
1458C2×Q8—2921no—
1459C2×Q8—731no—
1460C2×Q8—731no—
1461C2×Q8—731no—
1462C2×Q8—1461no—
1463C2×Q8—1461no—
1464C2×Q8—1461no—
1465C2×Q8C23×D7311yescharacteristic
1466C2×Q8C23×D7311yescharacteristic
1467C2×Q8C23×D7311yescharacteristic
1468C2×Q8C23×D7311yescharacteristic
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—2921no—
1474C2×D4—2924no—
1475C2×D4—2924no—
1476C2×D4—2924no—
1477C2×D4—2924no—
1478C2×D4—2921no—
1479C2×D4—731no—
1480C2×D4—731no—
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—1462no—
1491C2×D4—1461no—
1492C2×D4—1461no—
1493C2×D4—1461no—
1494C2×D4—1462no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1462no—
1499C2×D4—1461no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4—1462no—
1503C2×D4—1461no—
1504C2×D4D4×D7311yescharacteristic
1505C2×D4C23×D7311yescharacteristic
1506C2×D4C23×D7311yescharacteristic
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—2921no—
1513C22×C4—2921no—
1514C22×C4—2924no—
1515C22×C4—731no—
1516C22×C4—731no—
1517C22×C4—731no—
1518C22×C4—731no—
1519C22×C4—731no—
1520C22×C4—731no—
1521C22×C4—1461no—
1522C22×C4—1461no—
1523C22×C4—1461no—
1524C22×C4—1461no—
1525C22×C4—1461no—
1526C22×C4—1461no—
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×C4C23×D7311yescharacteristic
1536C22×C4C23×D7311yescharacteristic
1537Q16—41no—
1538Q16—41no—
1539Q16—41no—
1540Q16—41no—
1541Q16—2921no—
1542Q16—2921no—
1543Q16—2921no—
1544Q16—2921no—
1545Q16—2921no—
1546SD16—22no—
1547SD16—22no—
1548SD16—41no—
1549SD16—41no—
1550SD16—2921no—
1551SD16—2921no—
1552SD16—2921no—
1553SD16—2921no—
1554SD16—1462no—
1555SD16—1462no—
1556SD16—1462no—
1557SD16—1462no—
1558D8—22no—
1559D8—2921no—
1560D8—1462no—
1561M16—41no—
1562M16—2921no—
1563M16—2921no—
1564M16—2921no—
1565C2×C8—41no—
1566C2×C8—2921no—
1567C2×C8—2921no—
1568C2×C8—2921no—
1569C2×C8—731no—
1570C2×C8—731no—
1571C2×C8—731no—
1572C2×C8—731no—
1573C2×C8C23×D7311yescharacteristic
1574C2×C8C23×D7311yescharacteristic
1575C2×C8C23×D7311yescharacteristic
1576C2×C8C23×D7311yescharacteristic
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—731no—
1584C4⋊C4—731no—
1585C4⋊C4—731no—
1586C4⋊C4—731no—
1587C4⋊C4—731no—
1588C4⋊C4—731no—
1589C4⋊C4—731no—
1590C4⋊C4—731no—
1591C4⋊C4—731no—
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⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4D4×D7311yescharacteristic
1616C4⋊C4C23×D7311yescharacteristic
1617C4⋊C4C23×D7311yescharacteristic
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—731no—
1626C22⋊C4—731no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
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⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4D4×D7311yescharacteristic
1661C22⋊C4D4×D7311yescharacteristic
1662C42—21no—
1663C42—731no—
1664C42—1461no—
1665C42—1461no—
1666C42—1461no—
1667C42—1461no—
1668C42—1461no—
1669C42C23×D7311yescharacteristic
1670C23—21no—
1671C23—21no—
1672C23—2922no—
1673C23—2922no—
1674C23—2921no—
1675C23—2921no—
1676C23—2921no—
1677C23—5841no—
1678C23—5841no—
1679C23—5841no—
1680C23—5841no—
1681C23—5841no—
1682C23—5841no—
1683C23—731no—
1684C23—731no—
1685C23—731no—
1686C23—1464no—
1687C23—1461no—
1688C23—1461no—
1689C23C2×D4×D7311yescharacteristic
1690C23C2×D4×D7311yescharacteristic
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—21no—
1699Q8—81no—
1700Q8—2921no—
1701Q8—2922no—
1702Q8—5841no—
1703Q8—5841no—
1704Q8—1461no—
1705Q8—1461no—
1706Q8—1461no—
1707Q8—1461no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—41no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—81no—
1716D4—2922no—
1717D4—2921no—
1718D4—2921no—
1719D4—2922no—
1720D4—2922no—
1721D4—2922no—
1722D4—2922no—
1723D4—2922no—
1724D4—2922no—
1725D4—2922no—
1726D4—2921no—
1727D4—2921no—
1728D4—2921no—
1729D4—2921no—
1730D4—5841no—
1731D4—5841no—
1732D4—5841no—
1733D4—5841no—
1734D4—732no—
1735D4—1464no—
1736D4—1461no—
1737D4—1461no—
1738D4—1461no—
1739D4#1455663612yes—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—81no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—2922no—
1756C2×C4—2921no—
1757C2×C4—2921no—
1758C2×C4—2922no—
1759C2×C4—2922no—
1760C2×C4—2922no—
1761C2×C4—2922no—
1762C2×C4—2922no—
1763C2×C4—2921no—
1764C2×C4—5841no—
1765C2×C4—5841no—
1766C2×C4—5841no—
1767C2×C4—5841no—
1768C2×C4—5841no—
1769C2×C4—5841no—
1770C2×C4—5841no—
1771C2×C4—5841no—
1772C2×C4—731no—
1773C2×C4—731no—
1774C2×C4—731no—
1775C2×C4—731no—
1776C2×C4—731no—
1777C2×C4—1461no—
1778C2×C4—1461no—
1779C2×C4—1461no—
1780C2×C4—1461no—
1781C2×C4—1461no—
1782C2×C4—1461no—
1783C2×C4—1461no—
1784C2×C4—1461no—
1785C2×C4—1461no—
1786C2×C4—1461no—
1787C2×C4—1461no—
1788C2×C4—1461no—
1789C2×C4C2×D4×D7311yescharacteristic
1790C2×C4C2×D4×D7311yescharacteristic
1791C2×C4C2×D4×D7311yescharacteristic
1792C2×C4C2×D4×D7311yescharacteristic
1793C2×C4C24×D7311yescharacteristic
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—1461no—
1799C8—1461no—
1800C8—1461no—
1801C8—1461no—
1802C22—21no—
1803C22—21no—
1804C22—22no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—2921no—
1815C22—2921no—
1816C22—2921no—
1817C22—2921no—
1818C22—2921no—
1819C22—5842no—
1820C22—5844no—
1821C22—11682no—
1822C22—11682no—
1823C22—1461no—
1824C22—1462no—
1825C22—1461no—
1826C22—1461no—
1827C22—1461no—
1828C22—1461no—
1829C22—1461no—
1830C22—1461no—
1831C22—1461no—
1832C22—1461no—
1833C22C22×D4×D7311yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—2921no—
1845C4—2921no—
1846C4—2921no—
1847C4—2921no—
1848C4—2921no—
1849C4—2921no—
1850C4—1461no—
1851C4—1461no—
1852C4—1461no—
1853C4—1461no—
1854C4—1461no—
1855C4H(5,𝔽2)×D7311yescharacteristic
1856C4C2×#1455663611yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—42no—
1860C2—81no—
1861C2—2922no—
1862C2—2921no—
1863C2—2921no—
1864C2—2921no—
1865C2—5841no—
1866C2#2262355911yescharacteristic
1867C2#2262470411yescharacteristic
1868C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3269C2
socleC22×C73C23×D4
hypercenter#3269D73
hypocenterC73#61613
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #22624222C2semidirect
2. #22623570C2semidirect
3. #22622250C2semidirect
4. #22622138C2semidirect
5. #22622033C2semidirect
6. #22622017C2semidirect
7. #22621969C2semidirect
8. #22621911C2semidirect
9. #22621848C2semidirect
10. #22621759C2semidirect
11. #22621646C2semidirect
12. #22621639C2semidirect
13. #22621571C2semidirect
14. #22621568C2semidirect
15. #22621485C2semidirect
16. #22621456C2semidirect
17. #22621434C2semidirect
18. #22621035C2semidirect
19. #22621013C2semidirect
20. #22620824C2semidirect
21. #22620808C2semidirect
22. #22620772C2semidirect
23. #22620713C2semidirect
24. #22620182C2semidirect
25. #22620114C2semidirect
26. #22619233C2semidirect
27. #22619207C2semidirect
28. #22619188C2semidirect
29. #22619145C2semidirect
30. #22618980C2semidirect
31. C73×#3269C2semidirect
34. C2×#14556623C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556615C22semidirect
37. C2×#14556612C22semidirect
38. C2×#14556611C22semidirect
39. C22×#11924015C22semidirect
42. #17989307C22semidirect
43. #17989297C22semidirect
46. #17989284C22semidirect
47. #17989271C22semidirect
48. Q8×C22⋊D73C22semidirect
49. #17989245C22semidirect
54. #17989236C22semidirect
63. #17989206C22semidirect
64. #17989195C22semidirect
76. #17989094C22semidirect
79. C22⋊Q8×D73C22semidirect
81. #17988980C22semidirect
82. #17988969C22semidirect
83. #17988965C22semidirect
84. #17988954C22semidirect
85. #17988947C22semidirect
86. #17988943C22semidirect
87. #17988937C22semidirect
88. #17988930C22semidirect
89. #17988929C22semidirect
90. #17988927C22semidirect
91. #17988926C22semidirect
92. #17988925C22semidirect
93. #17988925C22semidirect
94. #17988924C22semidirect
95. #17988916C22semidirect
96. #17988916C22semidirect
97. #17988912C22semidirect
98. #17988910C22semidirect
99. #17988902C22semidirect
100. #17988890C22semidirect
101. #17988885C22semidirect
102. #17988878C22semidirect
103. #17988867C22semidirect
104. #17988845C22semidirect
105. #17988844C22semidirect
106. #17988842C22semidirect
107. #17988842C22semidirect
108. #17988839C22semidirect
109. #17988836C22semidirect
110. #17988830C22semidirect
111. #17988827C22semidirect
112. #17988826C22semidirect
113. #17988826C22semidirect
114. #17988825C22semidirect
115. #17988818C22semidirect
116. #17988816C22semidirect
117. #17988814C22semidirect
118. #17988811C22semidirect
119. #17988810C22semidirect
120. #17988809C22semidirect
121. #17988804C22semidirect
122. #17988799C22semidirect
123. #17988795C22semidirect
124. #17988794C22semidirect
125. #17988791C22semidirect
126. #17988790C22semidirect
127. #17988790C22semidirect
129. #17988751C22semidirect
130. #17988750C22semidirect
131. #17988749C22semidirect
132. #17988749C22semidirect
135. #17988748C22semidirect
136. #17988748C22semidirect
137. #17988748C22semidirect
138. #17988747C22semidirect
139. #17988746C22semidirect
140. #17988746C22semidirect
141. #17988744C22semidirect
142. #17988743C22semidirect
143. #17988741C22semidirect
144. #17988741C22semidirect
145. #17988741C22semidirect
146. #17988740C22semidirect
150. #17988736C22semidirect
151. #17988736C22semidirect
152. #17988732C22semidirect
154. #17988731C22semidirect
155. #17988729C22semidirect
156. #17988727C22semidirect
157. #17988724C22semidirect
158. #17988720C22semidirect
160. #17988699C22semidirect
161. #17988690C22semidirect
162. #17988689C22semidirect
163. SD16×Dic73C22semidirect
164. C4×#11924015C22semidirect
165. C4×#11924016C22semidirect
166. #17988667C22semidirect
167. #17988664C22semidirect
168. #17988663C22semidirect
169. #17988660C22semidirect
170. #17988658C22semidirect
171. #17988655C22semidirect
172. D4×#10596831C22semidirect
173. #17988650C22semidirect
174. #17988649C22semidirect
175. #17988647C22semidirect
176. #17988593C22semidirect
177. #17988587C22semidirect
178. #17988587C22semidirect
179. #17988585C22semidirect
180. #17988584C22semidirect
181. #17988583C22semidirect
182. #17988583C22semidirect
183. #102×D73C22semidirect
186. #17988549C22semidirect
187. C2×#14556503C22semidirect
188. C2×#137×C73C22semidirect
189. C2×#135×C73C22semidirect
190. #548×C73C22semidirect
192. #497×C73C22semidirect
193. #468×C73C22semidirect
194. #467×C73C22semidirect
195. #463×C73C22semidirect
196. #462×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #451×C73C22semidirect
200. #449×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
950. #3269D73semidirect
966. C73#61613semidirect
971. C2×#137C2×D73semidirect
975. C2×#135C2×D73semidirect
987. #548C2×D73semidirect
1021. #497C2×D73semidirect
1051. #468C2×D73semidirect
1056. #467C2×D73semidirect
1065. #463C2×D73semidirect
1068. #462C2×D73semidirect
1085. #452C2×D73semidirect
1086. #452C2×D73semidirect
1092. #451C2×D73semidirect
1103. #449C2×D73semidirect
1111. #440C2×D73semidirect
1121. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242222
#226235702
#226222502
#226221382
#226220332
#226220172
#226219692
#226219112
#226218482
#226217592
#226216462
#226216392
#226215712
#226215682
#226214852
#226214562
#226214342
#226210352
#226210132
#226208242
#226208082
#226207722
#226207132
#226201822
#226201142
#226192332
#226192072
#226191882
#226191452
#226189802
C73×#32692
#6161373