Finite Group Databasebeta

← #33972197

Subgroups — #33972197

Order 18688.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624195C211yesmaximal, characteristic, complemented
2#22623588C211yesmaximal, characteristic, complemented
3#22622124C211yesmaximal, characteristic, complemented
4#22622123C211yesmaximal, characteristic, complemented
5#22621997C211yesmaximal, characteristic, complemented
6#22621990C211yesmaximal, characteristic, complemented
7#22621883C211yesmaximal, characteristic, complemented
8#22621874C211yesmaximal, characteristic, complemented
9#22621871C211yesmaximal, characteristic, complemented
10#22621865C211yesmaximal, characteristic, complemented
11#22621671C211yesmaximal, characteristic, complemented
12#22621670C211yesmaximal, characteristic, complemented
13#22621638C211yesmaximal, characteristic, complemented
14#22621522C211yesmaximal, characteristic, complemented
15#22621516C211yesmaximal, characteristic, complemented
16#22621469C211yesmaximal, characteristic, complemented
17#22621467C211yesmaximal, characteristic, complemented
18#22621024C211yesmaximal, characteristic, complemented
19#22621018C211yesmaximal, characteristic, complemented
20#22620797C211yesmaximal, characteristic, complemented
21#22620794C211yesmaximal, characteristic, complemented
22#22620723C211yesmaximal, characteristic, complemented
23#22620720C211yesmaximal, characteristic, complemented
24#22620157C211yesmaximal, characteristic, complemented
25#22620156C211yesmaximal, characteristic, complemented
26#22619221C211yesmaximal, characteristic, complemented
27#22619213C211yesmaximal, characteristic, complemented
28#22619146C211yesmaximal, characteristic, complemented
29#22619145C211yesmaximal, characteristic, complemented
30#22618984C211yesmaximal, characteristic, complemented
31C73×#3282C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic, complemented
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556617C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic
37C2×#14556611C2211yescharacteristic
38C2×#14556610C2211yescharacteristic
39C2×Q16×D73C2211yescharacteristic, complemented
40#17989330—21no—
41#17989325—21no—
42#17989321—21no—
43#17989308C2211yescharacteristic, complemented
44#17989307C2211yescharacteristic, complemented
45#17989302C2211yescharacteristic, complemented
46#17989301C2211yescharacteristic, complemented
47#17989263—21no—
48#17989259C2211yescharacteristic, complemented
49#17989258—21no—
50#17989258C2211yescharacteristic
51#17989256C2211yescharacteristic, complemented
52#17989255—21no—
53#17989255C2211yescharacteristic
54#17989248C2211yescharacteristic
55#17989247—21no—
56#17989247C2211yescharacteristic, complemented
57#17989245—21no—
58#17989245C2211yescharacteristic, complemented
59#17989245C2211yescharacteristic, complemented
60#17989244C2211yescharacteristic, complemented
61#17989231C2211yescharacteristic, complemented
62#17989206C2211yescharacteristic
63#17989205—21no—
64#17989204—21no—
65#17989202C2211yescharacteristic
66#17989175—21no—
67#17989172—21no—
68#17989160C2211yescharacteristic
69#17989155—21no—
70#17989155C2211yescharacteristic, complemented
71#17989154C2211yescharacteristic
72#17989153—21no—
73#17989153C2211yescharacteristic
74#17989100—21no—
75#17989100C2211yescharacteristic, complemented
76#17989097C2211yescharacteristic
77#17989096—21no—
78#17989096C2211yescharacteristic
79#17989094C2211yescharacteristic
80#17989063C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988946C2211yescharacteristic, complemented
86#17988934C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988931C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic
97#17988910C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic
99#17988908C2211yescharacteristic, complemented
100#17988882C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988873C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic, complemented
105#17988837C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic, complemented
107#17988831C2211yescharacteristic, complemented
108#17988826C2211yescharacteristic, complemented
109#17988825C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988820C2211yescharacteristic, complemented
114#17988819C2211yescharacteristic, complemented
115#17988816C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic, complemented
120#17988807C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988788C2211yescharacteristic, complemented
125#17988785C2211yescharacteristic, complemented
126#17988782C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988749C2211yescharacteristic, complemented
132#17988748C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic, complemented
134#17988747C2211yescharacteristic, complemented
135#17988746C2211yescharacteristic, complemented
136#17988746C2211yescharacteristic, complemented
137#17988744C2211yescharacteristic, complemented
138#17988743C2211yescharacteristic, complemented
139#17988741C2211yescharacteristic, complemented
140#17988739C2211yescharacteristic, complemented
141#17988736C2211yescharacteristic, complemented
142#17988733C2211yescharacteristic, complemented
143#17988732C2211yescharacteristic, complemented
144#17988731C2211yescharacteristic
145#17988731C2211yescharacteristic
146#17988731C2211yescharacteristic
147#17988731C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic
150#17988729C2211yescharacteristic
151#17988727C2211yescharacteristic, complemented
152#17988724C2211yescharacteristic
153#17988724C2211yescharacteristic
154#17988724C2211yescharacteristic, complemented
155#17988724C2211yescharacteristic, complemented
156#17988724C2211yescharacteristic, complemented
157#17988721C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic
159#17988719C2211yescharacteristic
160#17988694C2211yescharacteristic, complemented
161#17988692C2211yescharacteristic, complemented
162#17988687C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164C4×Dic292C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167#17988661C2211yescharacteristic, complemented
168#17988659C2211yescharacteristic, complemented
169#17988658C2211yescharacteristic, complemented
170#17988657C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988647C2211yescharacteristic, complemented
175#17988646C2211yescharacteristic, complemented
176#17988596C2211yescharacteristic, complemented
177#17988594C2211yescharacteristic, complemented
178#17988584C2211yescharacteristic, complemented
179#17988584C2211yescharacteristic, complemented
180#17988583C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic
185#17988552C2211yescharacteristic
186C2×#14556503C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C2×#135×C73C2211yescharacteristic
189C22×SD16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic, complemented
193#465×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic
200#447×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202C8×D4×C73C2211yescharacteristic, complemented
203#14556639—42no—
204#14556639—42no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028—21no—
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218#41×D73—42no—
219#41×D73—42no—
220C2×Q8×D73—21no—
221C2×Q8×D73C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C2×Q8×D73C2311yescharacteristic
224C2×D4×D73—21no—
225C2×D4×D73C2311yescharacteristic
226C22×C4×D73—21no—
227C22×C4×D73C2311yescharacteristic
228#14556623—42no—
229#14556617—42no—
230#14556612—42no—
231#14556611—42no—
232#14556610—42no—
233C2×Dic292C2311yescharacteristic
234C2×#11924018C2311yescharacteristic
235C2×#11924018C2311yescharacteristic
236C2×#11924018C2311yescharacteristic
237Q16×D73—42no—
238C2×#11924017C2311yescharacteristic
239C2×#11924017C2311yescharacteristic
240C2×#11924016C2311yescharacteristic
241C2×#11924016C2311yescharacteristic
242C2×#11924016C2311yescharacteristic
243C2×#11924015C2311yescharacteristic
244C2×#11924015C2311yescharacteristic
245C2×#11924013C2311yescharacteristic
246C2×#11924013C2311yescharacteristic
247C2×#11924013C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924012C2311yescharacteristic
250C2×#11924011C2311yescharacteristic
251C22×#10596831C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254C2×C8×D73C2311yescharacteristic
255#14556591C2311yescharacteristic
256#14556590—21no—
257#14556590C2311yescharacteristic
258#14556588—21no—
259#14556588C2311yescharacteristic
260#14556587—21no—
261#14556587—21no—
262#14556587—21no—
263#14556587—21no—
264#14556587—21no—
265#14556587C2311yescharacteristic
266#14556586—21no—
267#14556584—21no—
268#14556584—21no—
269#14556584—21no—
270#14556584—21no—
271#14556584—21no—
272#14556580—21no—
273#14556580C2311yescharacteristic
274#14556578—21no—
275#14556578—21no—
276#14556578—21no—
277#14556578—21no—
278#14556578C2311yescharacteristic
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556577—21no—
288#14556577—21no—
289#14556577—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576D411yescharacteristic
293#14556575—21no—
294#14556574—21no—
295#14556573—21no—
296#14556573—21no—
297#14556573D411yescharacteristic
298#14556572—21no—
299#14556572—21no—
300#14556571C2311yescharacteristic
301#14556570—21no—
302#14556570—21no—
303#14556570C2311yescharacteristic
304#14556570C2311yescharacteristic
305#14556569—21no—
306#14556569D411yescharacteristic
307#14556568—21no—
308#14556568—21no—
309#14556568—21no—
310#14556568D411yescharacteristic
311#14556567—21no—
312#14556567C2311yescharacteristic
313#14556567C2311yescharacteristic
314#14556567C2311yescharacteristic
315#14556566—21no—
316#14556566—21no—
317#14556566C2311yescharacteristic
318#14556566C2311yescharacteristic
319#14556565—21no—
320#14556565—21no—
321#14556565—21no—
322#14556565C2311yescharacteristic
323#14556565C2311yescharacteristic
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556564D411yescharacteristic
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563D411yescharacteristic
337#14556562—21no—
338#14556562—21no—
339#14556562C2311yescharacteristic
340#14556562C2311yescharacteristic
341#14556562C2311yescharacteristic
342#14556562C2311yescharacteristic
343#14556562C2311yescharacteristic
344#14556562C2311yescharacteristic
345#14556561—21no—
346#14556561—21no—
347#14556561—21no—
348#14556561—21no—
349#14556561D411yescharacteristic
350#14556560—21no—
351#14556560—21no—
352#14556560—21no—
353#14556559—21no—
354#14556559—21no—
355#14556559—21no—
356#14556559D411yescharacteristic
357Q8×Dic73C2311yescharacteristic
358Q8×Dic73C2311yescharacteristic
359C4×Dic146—21no—
360C4×Dic146C2311yescharacteristic
361C4×Dic146C2311yescharacteristic
362#14556556—21no—
363#14556556—21no—
364#14556556—21no—
365#14556556C2311yescharacteristic
366C4×D292—21no—
367C4×D292C2311yescharacteristic
368D4×Dic73—21no—
369D4×Dic73C2311yescharacteristic
370#14556553—21no—
371#14556553—21no—
372#14556553—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73—21no—
377C4×C22⋊D73—21no—
378C4×C22⋊D73C2311yescharacteristic
379C4×C22⋊D73C2311yescharacteristic
380#14556551—21no—
381#14556551—21no—
382#14556551—21no—
383#14556551—21no—
384#14556551—21no—
385#14556550—21no—
386#14556550C2311yescharacteristic
387#14556550C2311yescharacteristic
388#14556549—21no—
389#14556549C2311yescharacteristic
390#14556549C2311yescharacteristic
391#14556549C2311yescharacteristic
392#14556548—21no—
393#14556548C2311yescharacteristic
394#14556547—21no—
395C2×C22⋊Dic73—21no—
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556523C2311yescharacteristic
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#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
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#14556502C2311yescharacteristic
443#14556501C2311yescharacteristic
444C8×Dic73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C22×Q8×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449#135×C73—42no—
450C2×Q16×C73C2311yescharacteristic
451C2×Q16×C73C2311yescharacteristic
452C2×SD16×C73—42no—
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C2×SD16×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C22×C8×C73C2311yescharacteristic
461C22×C8×C73C2311yescharacteristic
462#124×C73—21no—
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468C22⋊Q8×C73C2311yescharacteristic
469#121×C73—21no—
470#121×C73—21no—
471#121×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473#120×C73—21no—
474C4×Q8×C73C2311yescharacteristic
475C4×D4×C73—21no—
476C4×D4×C73C2311yescharacteristic
477C4×D4×C73C2311yescharacteristic
478C2×C22⋊C4×C73—21no—
479#106×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73C2×D411yescharacteristic
492#11924029—22no—
493#11924029—22no—
494#11924029—41no—
495#11924029—41no—
496#11924029—41no—
497#11924029—41no—
498#11924029—44no—
499#11924028—22no—
500#11924028—22no—
501#11924028—41no—
502#11924028—41no—
503#11924028—44no—
504#11924028—44no—
505#11924028—41no—
506#11924028—41no—
507#11924028—44no—
508#11924027—22no—
509#11924027—41no—
510#11924027—41no—
511#11924027—41no—
512#11924027—44no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146C2×D411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—22no—
522Q8×D73—22no—
523Q8×D73—22no—
524Q8×D73—41no—
525Q8×D73—44no—
526Q8×D73—41no—
527Q8×D73—41no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292C2×D411yescharacteristic
536C2×D292C2×D411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558D4×D73—41no—
559D4×D73—41no—
560D4×D73—44no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73C2×D411yescharacteristic
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—41no—
574C2×C4×D73—41no—
575C2×C4×D73—44no—
576C2×C4×D73C2×D411yescharacteristic
577C2×C4×D73C2×D411yescharacteristic
578C2×C4×D73C2411yescharacteristic
579C2×C4×D73C2411yescharacteristic
580C2×C4×D73C2411yescharacteristic
581Dic292—22no—
582#11924018—22no—
583#11924018—22no—
584#11924018—41no—
585#11924017—41no—
586#11924017—41no—
587#11924016—22no—
588#11924016—22no—
589#11924016—41no—
590#11924015—41no—
591#11924015—41no—
592#11924013—41no—
593#11924013—41no—
594#11924013—41no—
595#11924013—41no—
596#11924012—41no—
597#11924011—41no—
598C2×#10596831—41no—
599C2×#10596831C2411yescharacteristic
600C2×#10596831C2411yescharacteristic
601C2×#10596831C2411yescharacteristic
602C2×#10596831C2411yescharacteristic
603C8×D73—41no—
604C8×D73—41no—
605C8×D73—41no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73C2×D411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
625#11924007C2×D411yescharacteristic
626#11924007C2×D411yescharacteristic
627#11924007C2×D411yescharacteristic
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
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#11924005C2×D411yescharacteristic
657#11924005C2×D411yescharacteristic
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73—21no—
667C4×Dic73—21no—
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73C2411yescharacteristic
673C24×C73—21no—
674#41×C73—22no—
675#41×C73—41no—
676#41×C73—41no—
677#41×C73—41no—
678C2×Q8×C73—21no—
679C2×Q8×C73—22no—
680C2×Q8×C73—41no—
681C2×Q8×C73C2411yescharacteristic
682C2×Q8×C73C2411yescharacteristic
683C2×Q8×C73C2411yescharacteristic
684C2×D4×C73—21no—
685C2×D4×C73—21no—
686C2×D4×C73—21no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—41no—
690C2×D4×C73—41no—
691C2×D4×C73C2×D411yescharacteristic
692C2×D4×C73C2411yescharacteristic
693C2×D4×C73C2411yescharacteristic
694C2×D4×C73C2411yescharacteristic
695C22×C4×C73—21no—
696C22×C4×C73—21no—
697C22×C4×C73—21no—
698C22×C4×C73—21no—
699C22×C4×C73C2411yescharacteristic
700C22×C4×C73C2411yescharacteristic
701Q16×C73—22no—
702Q16×C73—41no—
703SD16×C73—22no—
704SD16×C73—22no—
705SD16×C73—41no—
706SD16×C73—41no—
707SD16×C73—41no—
708D8×C73—41no—
709D8×C73—41no—
710C2×C8×C73—41no—
711C2×C8×C73—41no—
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C2×C8×C73C2411yescharacteristic
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73C2×D411yescharacteristic
720C4⋊C4×C73C2411yescharacteristic
721C4⋊C4×C73C2411yescharacteristic
722C22⋊C4×C73—21no—
723C22⋊C4×C73—21no—
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×C73—21no—
738C23×C73—81no—
739C23×C73—81no—
740C23×C73—81no—
741C23×C73C22×D411yescharacteristic
742C23×C73C22×D411yescharacteristic
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—41no—
746C22×D73—41no—
747C22×D73—41no—
748C22×D73—42no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73C22×D411yescharacteristic
752C22×D73C22×D411yescharacteristic
753C22×D73C22×D411yescharacteristic
754Q8×C73—21no—
755Q8×C73—21no—
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—42no—
760Q8×C73H(5,𝔽2)12yes—
761D4×C73—21no—
762D4×C73—21no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—41no—
768D4×C73—42no—
769D4×C73—81no—
770D4×C73—81no—
771D4×C73—81no—
772D4×C73—81no—
773C2×C4×C73—21no—
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—42no—
783C2×C4×C73—42no—
784C2×C4×C73—81no—
785C2×C4×C73—81no—
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C22×D411yescharacteristic
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C2511yescharacteristic
791C22⋊D73—41no—
792C22⋊D73—41no—
793C22⋊D73—41no—
794C22⋊D73—41no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C22⋊D73—42no—
798C22⋊D73—42no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—41no—
817C2×Dic73—42no—
818C2×Dic73—81no—
819C2×Dic73—81no—
820C2×Dic73C22×D411yescharacteristic
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825D292—21no—
826D292—21no—
827D292—21no—
828D292—21no—
829D292—41no—
830D292—41no—
831D292—42no—
832D292—42no—
833D292—42no—
834D292—81no—
835D292—81no—
836D292—81no—
837D292—81no—
838C4×D73—24no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—21no—
842C4×D73—21no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—41no—
846C4×D73—41no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—42no—
851C4×D73—42no—
852C4×D73—42no—
853C4×D73—81no—
854Dic146—24no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—41no—
859Dic146—42no—
860Dic146—81no—
861Dic146—81no—
862Dic146—81no—
863Dic146H(5,𝔽2)12yes—
864C8×C73—21no—
865C8×C73—21no—
866C8×C73—21no—
867C8×C73—21no—
868#10596831—21no—
869#10596831—21no—
870#10596831—21no—
871#10596831—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—162no—
888C22×C73C23×D411yescharacteristic
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—82no—
905C2×D73—84no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—22no—
909C4×C73—21no—
910C4×C73—21no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73C2×H(5,𝔽2)11yescharacteristic
916C4×C73C2×H(5,𝔽2)11yescharacteristic
917Dic73—21no—
918Dic73—21no—
919Dic73—21no—
920Dic73—22no—
921Dic73—21no—
922Dic73—21no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61638—731nomaximal, Sylow
929C2×C73—41no—
930C2×C73—41no—
931C2×C73—81no—
932C2×C73—81no—
933C2×C73—81no—
934C2×C73#348411yescharacteristic
935C2×C73#358411yescharacteristic
936C2×C73#358411yescharacteristic
937D73—41no—
938D73—41no—
939D73—41no—
940D73—81no—
941D73—81no—
942#3540—731no—
943#3487—731no—
944#3321—731no—
945#3321—731no—
946#3313—731no—
947#3313—731no—
948#3305—731no—
949#3305—731no—
950#3304—731no—
951#3304—731no—
952#3285—731no—
953#3285—731no—
954#3282—731no—
955#3282D7311yescharacteristic, complemented
956#3271—731no—
957#3271—731no—
958#3268—731no—
959#3268—731no—
960#3224—731no—
961#3224—731no—
962#3200—731no—
963#3199—731no—
964#3191—731no—
965#3191—731no—
966#3121—731no—
967#3121—731no—
968#3011—731no—
969#3010—731no—
970#3002—731no—
971#3002—731no—
972#2977—731no—
973C73#6163811yescharacteristic, complemented, Sylow
974C2×2−1+4—731no—
975C22×#41—731no—
976C2×#137—731no—
977C2×AGL(1,ℤ/8)—731no—
978C2×#135—731no—
979C2×#135—731no—
980C2×#135—731no—
981C2×#135C2×D7311yescharacteristic
982C22×Q16—731no—
983C22×SD16C2×D7311yescharacteristic, complemented
984H(3,𝔽4)—1461no—
985#560—1461no—
986#559—1461no—
987#556—731no—
988#556—731no—
989#555—731no—
990#555—731no—
991#551—1461no—
992#550—731no—
993#550—731no—
994#550—731no—
995#550—731no—
996#550—1461no—
997#550—1461no—
998#548—731no—
999#548—731no—
1000#548—731no—
1001#548—731no—
1002#548—731no—
1003#548—1461no—
1004#548—1461no—
1005#548C2×D7311yescharacteristic
1006#546—731no—
1007#546C2×D7311yescharacteristic, complemented
1008#542—731no—
1009#542—731no—
1010#542—1461no—
1011#542—1461no—
1012#538—1461no—
1013#538—1461no—
1014#536—731no—
1015#535—731no—
1016#535—731no—
1017#535—731no—
1018#535—1461no—
1019#535—1461no—
1020#525—731no—
1021#525—731no—
1022#525—731no—
1023#525—731no—
1024#525—1461no—
1025#525—1461no—
1026#519—731no—
1027#496—731no—
1028#496—731no—
1029#495—731no—
1030#495C2×D7311yescharacteristic, complemented
1031#489—731no—
1032#489—731no—
1033#486—731no—
1034#486—731no—
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#485—731no—
1039#482—731no—
1040#482—731no—
1041#482—731no—
1042#482—731no—
1043#482—731no—
1044#482—731no—
1045#482—731no—
1046#482—731no—
1047#477—731no—
1048#477—731no—
1049#475—731no—
1050#475—731no—
1051#469—731no—
1052#469—731no—
1053#468—731no—
1054#468—731no—
1055#467—731no—
1056#467—731no—
1057#466—731no—
1058#466—731no—
1059#466—731no—
1060#466—731no—
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465—731no—
1065#465C2×D7311yescharacteristic, complemented
1066#465C2×D7311yescharacteristic, complemented
1067#464—731no—
1068#464—731no—
1069#464—731no—
1070#464—731no—
1071#464—731no—
1072#464C2×D7311yescharacteristic, complemented
1073#463—731no—
1074#463C2×D7311yescharacteristic, complemented
1075#460—731no—
1076#460—731no—
1077#459—731no—
1078#459—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452—731no—
1086#452—731no—
1087#452—731no—
1088#452C2×D7311yescharacteristic, complemented
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451C2×D7311yescharacteristic, complemented
1093#450—731no—
1094#450—731no—
1095#449—731no—
1096#449—731no—
1097#449—731no—
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449—731no—
1104#449C2×D7311yescharacteristic
1105#448—731no—
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448—731no—
1111#447—731no—
1112#447—731no—
1113#447—731no—
1114#447C2×D7311yescharacteristic, complemented
1115#441—731no—
1116#441—731no—
1117#440—731no—
1118#440—731no—
1119C4×Q16—731no—
1120C4×Q16—731no—
1121C4×SD16—731no—
1122C4×SD16C2×D7311yescharacteristic, complemented
1123#435—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127C8×D4—731no—
1128C8×D4—731no—
1129C8×D4—731no—
1130C8×D4C2×D7311yescharacteristic, complemented
1131#433—731no—
1132#433—731no—
1133#419—731no—
1134#419—731no—
1135#416—731no—
1136#416—731no—
1137#416—731no—
1138#416—731no—
1139#416—731no—
1140#416—731no—
1141#408—731no—
1142#408—731no—
1143C2×C22⋊C8—731no—
1144C2×C22⋊C8—731no—
11452−1+4—2922no—
11462−1+4—2922no—
1147C2×#41—2922no—
1148C2×#41—2922no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—731no—
1156C2×#41—731no—
1157C2×#41—1461no—
1158C2×#41—1461no—
1159C2×#41—1461no—
1160C2×#41—1461no—
1161C2×#41—1461no—
1162C2×#41C22×D7311yescharacteristic
1163C2×#41C22×D7311yescharacteristic
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—731no—
1167C22×Q8—1461no—
1168C22×Q8C22×D7311yescharacteristic
1169C22×D4—731no—
1170C22×D4—1461no—
1171C22×D4C22×D7311yescharacteristic
1172C23×C4—731no—
1173C23×C4—1461no—
1174#137—2922no—
1175AGL(1,ℤ/8)—2922no—
1176#135—42no—
1177#135—2922no—
1178#135—2922no—
1179#135—2922no—
1180C2×Q16—2922no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16C22×D7311yescharacteristic
1186C2×Q16C22×D7311yescharacteristic
1187C2×SD16—42no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16C22×D7311yescharacteristic
1196C2×SD16C22×D7311yescharacteristic
1197C2×SD16C22×D7311yescharacteristic
1198C2×SD16C22×D7311yescharacteristic
1199C2×SD16C22×D7311yescharacteristic
1200C2×D8—731no—
1201C2×D8—731no—
1202C2×D8—731no—
1203C2×D8—731no—
1204C2×D8C22×D7311yescharacteristic
1205C2×D8C22×D7311yescharacteristic
1206C2×M16—731no—
1207C2×M16—731no—
1208C22×C8—731no—
1209C22×C8—731no—
1210C22×C8—731no—
1211C22×C8—731no—
1212C22×C8C22×D7311yescharacteristic
1213C22×C8C22×D7311yescharacteristic
1214C4⋊Q8—731no—
1215C4⋊Q8—731no—
1216C4⋊Q8—1461no—
1217#127—731no—
1218#127—731no—
1219#127—1461no—
1220#127—1461no—
1221#127—1461no—
1222#127—1461no—
1223#127—1461no—
1224#127—1461no—
1225#126—1461no—
1226#126—1461no—
1227#126—1461no—
1228#126—1461no—
1229#126—1461no—
1230#126—1461no—
1231#124—21no—
1232#124—731no—
1233#124—731no—
1234#124—1461no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#124—1461no—
1245#124—1461no—
1246#124—1461no—
1247#124—1461no—
1248#124—1461no—
1249#124—1461no—
1250#124C22×D7311yescharacteristic
1251#124C22×D7311yescharacteristic
1252#123—21no—
1253#123—731no—
1254#123—731no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263C22⋊Q8—21no—
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—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8C22×D7311yescharacteristic
1280C22⋊Q8C22×D7311yescharacteristic
1281#121—21no—
1282#121—21no—
1283#121—731no—
1284#121—731no—
1285#121—731no—
1286#121—731no—
1287#121—731no—
1288#121—731no—
1289#121—731no—
1290#121—731no—
1291#121—731no—
1292#121—731no—
1293#121—731no—
1294#121—731no—
1295#121—1461no—
1296#121—1461no—
1297#121—1461no—
1298#121—1461no—
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#121—1461no—
1313#121C22×D7311yescharacteristic
1314#121C22×D7311yescharacteristic
1315#120—21no—
1316#120—731no—
1317#120—731no—
1318#120—1461no—
1319#120—1461no—
1320#120—1461no—
1321#120—1461no—
1322#120—1461no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328C4×Q8—731no—
1329C4×Q8—731no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—1461no—
1334C4×Q8—1461no—
1335C4×Q8—1461no—
1336C4×Q8—1461no—
1337C4×Q8C22×D7311yescharacteristic
1338C4×D4—21no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4C22×D7311yescharacteristic
1359C4×D4C22×D7311yescharacteristic
1360#117—731no—
1361#117—731no—
1362#117—731no—
1363#117—731no—
1364#117—731no—
1365#117—731no—
1366#117—1461no—
1367#117—1461no—
1368#117—1461no—
1369#117—1461no—
1370C2×C22⋊C4—21no—
1371C2×C22⋊C4—1461no—
1372#107—731no—
1373#107—731no—
1374#107—731no—
1375#107—731no—
1376#106—731no—
1377#106—731no—
1378#106—731no—
1379#106C22×D7311yescharacteristic
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383C4⋊C8C22×D7311yescharacteristic
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103C22×D7311yescharacteristic
1398#103C22×D7311yescharacteristic
1399#103C22×D7311yescharacteristic
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415#102C22×D7311yescharacteristic
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8C22×D7311yescharacteristic
1427C22⋊C8C22×D7311yescharacteristic
1428#97—731no—
1429#97—731no—
1430C4×C8—731no—
1431C4×C8C22×D7311yescharacteristic
1432C24—21no—
1433C24—731no—
1434C24—1461no—
1435#41—22no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—2921no—
1440#41—2921no—
1441#41—2921no—
1442#41—2921no—
1443#41—2924no—
1444#41—2924no—
1445#41—2924no—
1446#41—2924no—
1447#41—2921no—
1448#41—2924no—
1449#41—2921no—
1450#41—2921no—
1451#41—2921no—
1452#41—2921no—
1453#41—2921no—
1454#41—2921no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459#41—1462no—
1460C2×Q8—21no—
1461C2×Q8—22no—
1462C2×Q8—41no—
1463C2×Q8—2924no—
1464C2×Q8—2921no—
1465C2×Q8—2921no—
1466C2×Q8—2921no—
1467C2×Q8—731no—
1468C2×Q8—731no—
1469C2×Q8—731no—
1470C2×Q8—1461no—
1471C2×Q8—1461no—
1472C2×Q8—1461no—
1473C2×Q8—1461no—
1474C2×Q8—1462no—
1475C2×Q8—1462no—
1476C2×Q8—1462no—
1477C2×Q8—1461no—
1478C2×Q8C23×D7311yescharacteristic
1479C2×Q8C23×D7311yescharacteristic
1480C2×Q8C23×D7311yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—41no—
1487C2×D4—41no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2924no—
1491C2×D4—731no—
1492C2×D4—731no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
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×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4D4×D7311yescharacteristic
1522C2×D4C23×D7311yescharacteristic
1523C2×D4C23×D7311yescharacteristic
1524C2×D4C23×D7311yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—2921no—
1530C22×C4—2921no—
1531C22×C4—2924no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—731no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4C23×D7311yescharacteristic
1550C22×C4C23×D7311yescharacteristic
1551Q16—22no—
1552Q16—41no—
1553Q16—2921no—
1554Q16—1462no—
1555Q16—1462no—
1556Q16—1462no—
1557SD16—22no—
1558SD16—22no—
1559SD16—41no—
1560SD16—41no—
1561SD16—41no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—1462no—
1568SD16—1462no—
1569D8—41no—
1570D8—41no—
1571D8—2921no—
1572D8—2921no—
1573D8—2921no—
1574D8—2921no—
1575M16—2921no—
1576M16—2921no—
1577C2×C8—41no—
1578C2×C8—41no—
1579C2×C8—2921no—
1580C2×C8—2921no—
1581C2×C8—2921no—
1582C2×C8—2921no—
1583C2×C8—731no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8C23×D7311yescharacteristic
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—731no—
1595C4⋊C4—731no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
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⋊C4—1461no—
1616C4⋊C4D4×D7311yescharacteristic
1617C4⋊C4C23×D7311yescharacteristic
1618C4⋊C4C23×D7311yescharacteristic
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
1633C22⋊C4—731no—
1634C22⋊C4—731no—
1635C22⋊C4—731no—
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⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4D4×D7311yescharacteristic
1663C22⋊C4D4×D7311yescharacteristic
1664C42—21no—
1665C42—731no—
1666C42—1461no—
1667C42—1461no—
1668C42—1461no—
1669C42—1461no—
1670C42—1461no—
1671C42—1461no—
1672C42—1461no—
1673C42—1461no—
1674C42—1461no—
1675C42—1461no—
1676C42C23×D7311yescharacteristic
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—81no—
1681C23—81no—
1682C23—81no—
1683C23—2921no—
1684C23—2921no—
1685C23—2921no—
1686C23—2922no—
1687C23—5841no—
1688C23—5841no—
1689C23—731no—
1690C23—731no—
1691C23—731no—
1692C23—1461no—
1693C23—1461no—
1694C23C2×D4×D7311yescharacteristic
1695C23C2×D4×D7311yescharacteristic
1696Q8—21no—
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—42no—
1702Q8—2921no—
1703Q8—2922no—
1704Q8—5841no—
1705Q8—5841no—
1706Q8—5841no—
1707Q8—732no—
1708Q8—1464no—
1709Q8—1461no—
1710Q8—1461no—
1711Q8—1461no—
1712Q8#1455663612yes—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—41no—
1720D4—42no—
1721D4—81no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—2922no—
1726D4—2922no—
1727D4—2921no—
1728D4—2921no—
1729D4—2922no—
1730D4—2922no—
1731D4—2922no—
1732D4—2921no—
1733D4—2921no—
1734D4—2921no—
1735D4—2921no—
1736D4—2922no—
1737D4—2922no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—5841no—
1752D4—5841no—
1753D4—1461no—
1754D4—1461no—
1755D4—1461no—
1756D4—1461no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2921no—
1775C2×C4—2921no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—2921no—
1779C2×C4—2922no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—731no—
1784C2×C4—731no—
1785C2×C4—731no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—1464no—
1789C2×C4—1461no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4C2×D4×D7311yescharacteristic
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C24×D7311yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1461no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—162no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—2921no—
1835C22—2921no—
1836C22—5842no—
1837C22—5844no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22—1461no—
1846C22—1461no—
1847C22C22×D4×D7311yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—22no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—2921no—
1862C4—1461no—
1863C4—1461no—
1864C4—1462no—
1865C4—1461no—
1866C4—1461no—
1867C4—1461no—
1868C4H(5,𝔽2)×D7311yescharacteristic
1869C4C2×#1455663611yescharacteristic
1870C2—41no—
1871C2—41no—
1872C2—81no—
1873C2—81no—
1874C2—81no—
1875C2—2921no—
1876C2—2921no—
1877C2—2921no—
1878C2—5841no—
1879C2—5841no—
1880C2#2262355911yescharacteristic
1881C2#2262470011yescharacteristic
1882C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3282C2
socleC22×C73C23×D4
hypercenter#3282D73
hypocenterC73#61638
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #22624195C2semidirect
2. #22623588C2semidirect
3. #22622124C2semidirect
4. #22622123C2semidirect
5. #22621997C2semidirect
6. #22621990C2semidirect
7. #22621883C2semidirect
8. #22621874C2semidirect
9. #22621871C2semidirect
10. #22621865C2semidirect
11. #22621671C2semidirect
12. #22621670C2semidirect
13. #22621638C2semidirect
14. #22621522C2semidirect
15. #22621516C2semidirect
16. #22621469C2semidirect
17. #22621467C2semidirect
18. #22621024C2semidirect
19. #22621018C2semidirect
20. #22620797C2semidirect
21. #22620794C2semidirect
22. #22620723C2semidirect
23. #22620720C2semidirect
24. #22620157C2semidirect
25. #22620156C2semidirect
26. #22619221C2semidirect
27. #22619213C2semidirect
28. #22619146C2semidirect
29. #22619145C2semidirect
30. #22618984C2semidirect
31. C73×#3282C2semidirect
33. C2×#41×D73C22semidirect
34. C2×#14556623C22semidirect
35. C2×#14556617C22semidirect
39. C2×Q16×D73C22semidirect
43. #17989308C22semidirect
44. #17989307C22semidirect
45. #17989302C22semidirect
46. #17989301C22semidirect
48. #17989259C22semidirect
51. #17989256C22semidirect
56. #17989247C22semidirect
58. #17989245C22semidirect
59. #17989245C22semidirect
60. #17989244C22semidirect
61. #17989231C22semidirect
70. #17989155C22semidirect
75. #17989100C22semidirect
80. #17989063C22semidirect
81. #17988977C22semidirect
82. #17988975C22semidirect
83. #17988968C22semidirect
84. #17988948C22semidirect
85. #17988946C22semidirect
86. #17988934C22semidirect
87. #17988932C22semidirect
88. #17988931C22semidirect
89. #17988926C22semidirect
90. #17988926C22semidirect
91. #17988925C22semidirect
92. #17988913C22semidirect
93. #17988913C22semidirect
94. #17988912C22semidirect
95. #17988912C22semidirect
97. #17988910C22semidirect
99. #17988908C22semidirect
100. #17988882C22semidirect
101. #17988880C22semidirect
102. #17988873C22semidirect
103. #17988871C22semidirect
104. #17988839C22semidirect
105. #17988837C22semidirect
106. #17988835C22semidirect
107. #17988831C22semidirect
108. #17988826C22semidirect
109. #17988825C22semidirect
110. #17988822C22semidirect
111. #17988822C22semidirect
112. #17988821C22semidirect
113. #17988820C22semidirect
114. #17988819C22semidirect
115. #17988816C22semidirect
116. #17988816C22semidirect
117. #17988813C22semidirect
118. #17988811C22semidirect
119. #17988808C22semidirect
120. #17988807C22semidirect
121. #17988806C22semidirect
122. #17988806C22semidirect
123. #17988804C22semidirect
124. #17988788C22semidirect
125. #17988785C22semidirect
126. #17988782C22semidirect
127. #17988780C22semidirect
128. #17988752C22semidirect
129. #17988751C22semidirect
130. #17988751C22semidirect
131. #17988749C22semidirect
132. #17988748C22semidirect
133. #17988748C22semidirect
134. #17988747C22semidirect
135. #17988746C22semidirect
136. #17988746C22semidirect
137. #17988744C22semidirect
138. #17988743C22semidirect
139. #17988741C22semidirect
140. #17988739C22semidirect
141. #17988736C22semidirect
142. #17988733C22semidirect
143. #17988732C22semidirect
147. #17988731C22semidirect
148. #17988731C22semidirect
151. #17988727C22semidirect
154. #17988724C22semidirect
155. #17988724C22semidirect
156. #17988724C22semidirect
157. #17988721C22semidirect
160. #17988694C22semidirect
161. #17988692C22semidirect
162. #17988687C22semidirect
163. #17988684C22semidirect
164. C4×Dic292C22semidirect
165. #17988679C22semidirect
166. SD16×Dic73C22semidirect
167. #17988661C22semidirect
168. #17988659C22semidirect
169. #17988658C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. C8×C22⋊D73C22semidirect
173. #17988650C22semidirect
174. #17988647C22semidirect
175. #17988646C22semidirect
176. #17988596C22semidirect
177. #17988594C22semidirect
178. #17988584C22semidirect
179. #17988584C22semidirect
180. #17988583C22semidirect
181. #17988582C22semidirect
182. #17988582C22semidirect
183. #17988580C22semidirect
186. C2×#14556503C22semidirect
187. C22⋊C8×D73C22semidirect
189. C22×SD16×C73C22semidirect
191. #546×C73C22semidirect
192. #495×C73C22semidirect
193. #465×C73C22semidirect
194. #465×C73C22semidirect
195. #464×C73C22semidirect
196. #463×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
200. #447×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. C8×D4×C73C22semidirect
955. #3282D73semidirect
973. C73#61638semidirect
983. C22×SD16C2×D73semidirect
1007. #546C2×D73semidirect
1030. #495C2×D73semidirect
1065. #465C2×D73semidirect
1066. #465C2×D73semidirect
1072. #464C2×D73semidirect
1074. #463C2×D73semidirect
1088. #452C2×D73semidirect
1092. #451C2×D73semidirect
1114. #447C2×D73semidirect
1122. C4×SD16C2×D73semidirect
1130. C8×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241952
#226235882
#226221242
#226221232
#226219972
#226219902
#226218832
#226218742
#226218712
#226218652
#226216712
#226216702
#226216382
#226215222
#226215162
#226214692
#226214672
#226210242
#226210182
#226207972
#226207942
#226207232
#226207202
#226201572
#226201562
#226192212
#226192132
#226191462
#226191452
#226189842
C73×#32822
#6163873