Finite Group Databasebeta

← #33979250

Subgroups — #33979250

Order 18688.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624255C211yesmaximal, characteristic, complemented
2#22623874C211yesmaximal, characteristic, complemented
3#22623021C211yesmaximal, characteristic, complemented
4#22622973C211yesmaximal, characteristic, complemented
5#22622684C211yesmaximal, characteristic, complemented
6#22622069C211yesmaximal, characteristic, complemented
7#22621951C211yesmaximal, characteristic, complemented
8#22621936C211yesmaximal, characteristic, complemented
9#22621889C211yesmaximal, characteristic, complemented
10#22621763C211yesmaximal, characteristic, complemented
11#22621743C211yesmaximal, characteristic, complemented
12#22621617C211yesmaximal, characteristic, complemented
13#22621603C211yesmaximal, characteristic, complemented
14#22621477C211yesmaximal, characteristic, complemented
15#22621413C211yesmaximal, characteristic, complemented
16#22621413C211yesmaximal, characteristic, complemented
17#22621406C211yesmaximal, characteristic, complemented
18#22621369C211yesmaximal, characteristic, complemented
19#22621341C211yesmaximal, characteristic, complemented
20#22621282C211yesmaximal, characteristic, complemented
21#22621028C211yesmaximal, characteristic, complemented
22#22620982C211yesmaximal, characteristic, complemented
23#22620950C211yesmaximal, characteristic, complemented
24#22620171C211yesmaximal, characteristic, complemented
25#22620134C211yesmaximal, characteristic, complemented
26#22620067C211yesmaximal, characteristic, complemented
27#22619465C211yesmaximal, characteristic, complemented
28#22619429C211yesmaximal, characteristic, complemented
29#459×D73C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3366C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic, complemented
34C2×#14556610C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic, complemented
36C2×D8×D73C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic, complemented
38#17989325—21no—
39#17989325—21no—
40#17989322C2211yescharacteristic, complemented
41#17989322C2211yescharacteristic, complemented
42#17989290C2211yescharacteristic, complemented
43#17989285—21no—
44#17989275C2211yescharacteristic, complemented
45#17989264—21no—
46#17989264—21no—
47#17989257C2211yescharacteristic, complemented
48#17989240C2211yescharacteristic, complemented
49#17989232C2211yescharacteristic
50#17989232C2211yescharacteristic, complemented
51#17989232C2211yescharacteristic, complemented
52#17989232C2211yescharacteristic, complemented
53#17989228—21no—
54#17989225—21no—
55D4×D292C2211yescharacteristic, complemented
56D4×D292C2211yescharacteristic, complemented
57#17989222C2211yescharacteristic
58#17989222C2211yescharacteristic, complemented
59#17989221—21no—
60#17989211C2211yescharacteristic, complemented
61#17989193C2211yescharacteristic, complemented
62#17989190—21no—
63#17989188C2211yescharacteristic, complemented
64#17989188C2211yescharacteristic, complemented
65#17989186—21no—
66#17989177—21no—
67#17989151—21no—
68#17989150C2211yescharacteristic, complemented
69#17989150C2211yescharacteristic, complemented
70#17989145—21no—
71#17989145—21no—
72#127×D73C2211yescharacteristic, complemented
73#17989124C2211yescharacteristic
74#17989122C2211yescharacteristic, complemented
75#17989119C2211yescharacteristic, complemented
76#17989100—21no—
77C2×#14556576—21no—
78#17989066C2211yescharacteristic, complemented
79#17989059C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988976C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic, complemented
83#17988974C2211yescharacteristic, complemented
84#17988974C2211yescharacteristic, complemented
85#17988971C2211yescharacteristic, complemented
86#17988963C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988944C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988909C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988899C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988891C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988885C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988864C2211yescharacteristic, complemented
103#17988841C2211yescharacteristic, complemented
104#17988841C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988829C2211yescharacteristic, complemented
108#17988824C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic
110#17988822C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988817C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988815C2211yescharacteristic, complemented
115#17988810C2211yescharacteristic, complemented
116#17988810C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988803C2211yescharacteristic, complemented
119#17988803C2211yescharacteristic, complemented
120#17988802C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988801C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic, complemented
128#17988786C2211yescharacteristic, complemented
129#17988784C2211yescharacteristic, complemented
130#17988783C2211yescharacteristic, complemented
131#17988783C2211yescharacteristic, complemented
132#17988782C2211yescharacteristic
133#17988782C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic, complemented
140#17988779C2211yescharacteristic, complemented
141#17988779C2211yescharacteristic, complemented
142#17988750C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic, complemented
144#17988739C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988739C2211yescharacteristic, complemented
147#17988733C2211yescharacteristic, complemented
148#17988733C2211yescharacteristic, complemented
149#17988733C2211yescharacteristic, complemented
150#17988733C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic, complemented
153#17988722C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic
159#17988719C2211yescharacteristic, complemented
160#17988718C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988689C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic, complemented
167C4×#11924016C2211yescharacteristic, complemented
168C4×D584C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174C8×D292C2211yescharacteristic, complemented
175#17988652C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988646C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#490×C73C2211yescharacteristic, complemented
192#486×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#476×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202C4×D8×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924027C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×D292—21no—
208C22×D292—21no—
209C2×D4×D73—21no—
210C2×D4×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214C2×D4×D73C2311yescharacteristic
215C2×D4×D73C2311yescharacteristic
216C2×D4×D73C2311yescharacteristic
217C2×D4×D73C2311yescharacteristic
218C2×D4×D73C2311yescharacteristic
219C22×C4×D73—21no—
220#14556615—42no—
221#14556615—42no—
222#14556610—42no—
223C2×Dic292C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244D8×D73—42no—
245D8×D73—42no—
246D8×D73—42no—
247C2×#11924011C2311yescharacteristic
248C2×#11924011C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253#14556588C2311yescharacteristic
254#14556588C2311yescharacteristic
255#14556587—21no—
256#14556587—21no—
257#14556587—21no—
258#14556587C2311yescharacteristic
259#14556587C2311yescharacteristic
260#14556586—21no—
261#14556586—21no—
262#14556586—21no—
263#14556586—21no—
264#14556586D411yescharacteristic
265#14556586D411yescharacteristic
266#14556584—21no—
267#14556582—21no—
268#14556582D411yescharacteristic
269#14556582C2311yescharacteristic
270#14556580—21no—
271#14556580—21no—
272#14556580—21no—
273#14556580D411yescharacteristic
274#14556579C2311yescharacteristic
275#14556579C2311yescharacteristic
276#14556579C2311yescharacteristic
277#14556579C2311yescharacteristic
278#14556578C2311yescharacteristic
279#14556576—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#14556576—21no—
290#14556576—21no—
291#14556576D411yescharacteristic
292#14556576D411yescharacteristic
293#14556575—21no—
294#14556575—21no—
295#14556575—21no—
296#14556575—21no—
297#14556574—21no—
298#14556574—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573—21no—
302#14556571C2311yescharacteristic
303#14556571C2311yescharacteristic
304#14556571C2311yescharacteristic
305#14556567—21no—
306#14556567—21no—
307#14556567D411yescharacteristic
308#14556566—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566D411yescharacteristic
312#14556566C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556565—21no—
319#14556565—21no—
320#14556565—21no—
321#14556565—21no—
322#14556565—21no—
323#14556565—21no—
324#14556565—21no—
325#14556565—21no—
326#14556564—21no—
327#14556564—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562C2311yescharacteristic
337#14556562C2311yescharacteristic
338#14556562C2311yescharacteristic
339#14556561—21no—
340#14556561—21no—
341#14556561—21no—
342#14556561—21no—
343#14556561—21no—
344#14556561—21no—
345#14556561—21no—
346#14556561—21no—
347#14556559—21no—
348#14556559—21no—
349#14556559—21no—
350#14556559—21no—
351#14556559—21no—
352#14556559—21no—
353#14556559—21no—
354#14556559—21no—
355C4×Dic146C2311yescharacteristic
356C4×Dic146C2311yescharacteristic
357#14556556C2311yescharacteristic
358C4×D292C2311yescharacteristic
359C4×D292C2311yescharacteristic
360C4×D292C2311yescharacteristic
361C4×D292C2311yescharacteristic
362C4×D292C2311yescharacteristic
363C4×D292C2311yescharacteristic
364C4×D292C2311yescharacteristic
365D4×Dic73—21no—
366D4×Dic73C2311yescharacteristic
367#14556553—21no—
368#14556553—21no—
369#14556553—21no—
370#14556553—21no—
371#14556553C2311yescharacteristic
372#14556553C2311yescharacteristic
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556550—21no—
381#14556549—21no—
382#14556549—21no—
383#14556549C2311yescharacteristic
384#14556548C2311yescharacteristic
385#14556548C2311yescharacteristic
386#14556547—21no—
387C2×#11924007—21no—
388C4⋊C4×D73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C2×#11924005—21no—
391C2×#11924005—21no—
392C2×#11924005—21no—
393C2×#11924005—21no—
394C2×#11924005—21no—
395C22⋊C4×D73—21no—
396C22⋊C4×D73—21no—
397C42×D73C2311yescharacteristic
398#14556525C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556502C2311yescharacteristic
439#14556502C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×#41×C73—21no—
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#127×C73C2311yescharacteristic
448#127×C73C2311yescharacteristic
449#125×C73C2311yescharacteristic
450#125×C73C2311yescharacteristic
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73—21no—
453C22⋊Q8×C73—21no—
454#121×C73—21no—
455#121×C73—21no—
456#121×C73—21no—
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C2×C4⋊C4×C73—21no—
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490#11924029—82no—
491#11924027—22no—
492#11924027—41no—
493#11924027—41no—
494#11924027—41no—
495#11924027—41no—
496#11924027—41no—
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—82no—
510C2×D292—82no—
511C2×D292C2×D411yescharacteristic
512C2×D292C2×D411yescharacteristic
513C2×D292C2×D411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534D4×D73—22no—
535D4×D73—22no—
536D4×D73—41no—
537D4×D73—41no—
538D4×D73—41no—
539D4×D73—41no—
540D4×D73—41no—
541D4×D73—41no—
542D4×D73—41no—
543D4×D73—41no—
544D4×D73—41no—
545D4×D73—41no—
546D4×D73—82no—
547D4×D73—82no—
548D4×D73—82no—
549D4×D73—82no—
550C22×Dic73—21no—
551C22×Dic73—21no—
552C22×Dic73—21no—
553C22×Dic73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—82no—
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2×D411yescharacteristic
565C2×C4×D73C2411yescharacteristic
566C2×C4×D73C2411yescharacteristic
567C2×C4×D73C2411yescharacteristic
568Dic292—41no—
569#11924017—41no—
570#11924017—41no—
571#11924017—41no—
572#11924017—41no—
573#11924016—22no—
574#11924016—41no—
575#11924016—41no—
576#11924016—41no—
577D584—41no—
578D584—41no—
579D584—41no—
580D584—41no—
581#11924013—22no—
582#11924013—22no—
583#11924013—41no—
584#11924013—41no—
585#11924013—41no—
586#11924013—41no—
587#11924013—41no—
588#11924013—41no—
589#11924011—41no—
590#11924011—41no—
591C2×#10596831C2411yescharacteristic
592C2×#10596831C2411yescharacteristic
593C2×#10596831C2411yescharacteristic
594C2×#10596831C2411yescharacteristic
595C8×D73—41no—
596C8×D73—41no—
597C8×D73—41no—
598C8×D73—41no—
599C4⋊Dic73—21no—
600C4⋊Dic73—21no—
601C4⋊Dic73—21no—
602C4⋊Dic73—21no—
603C4⋊Dic73C2×D411yescharacteristic
604C4⋊Dic73C2×D411yescharacteristic
605C4⋊Dic73C2×D411yescharacteristic
606C4⋊Dic73C2411yescharacteristic
607C4⋊Dic73C2411yescharacteristic
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007C2×D411yescharacteristic
615#11924007C2×D411yescharacteristic
616#11924007C2×D411yescharacteristic
617#11924007C2×D411yescharacteristic
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005C2×D411yescharacteristic
649#11924005C2×D411yescharacteristic
650#11924005C2×D411yescharacteristic
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656#11924005C2×D411yescharacteristic
657#11924005C2×D411yescharacteristic
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73C2×D411yescharacteristic
663C4×Dic73C2×D411yescharacteristic
664C4×Dic73C2411yescharacteristic
665#41×C73—82no—
666C2×Q8×C73—21no—
667C2×Q8×C73C2×D411yescharacteristic
668C2×D4×C73—21no—
669C2×D4×C73—21no—
670C2×D4×C73—21no—
671C2×D4×C73—21no—
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73C2411yescharacteristic
675C2×D4×C73C2411yescharacteristic
676C2×D4×C73C2411yescharacteristic
677C2×D4×C73C2411yescharacteristic
678C22×C4×C73—21no—
679C22×C4×C73—21no—
680C22×C4×C73—21no—
681C22×C4×C73—21no—
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684D8×C73—22no—
685D8×C73—22no—
686D8×C73—22no—
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C2×C8×C73C2411yescharacteristic
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73—21no—
694C4⋊C4×C73—21no—
695C4⋊C4×C73—21no—
696C4⋊C4×C73C2×D411yescharacteristic
697C4⋊C4×C73C2×D411yescharacteristic
698C4⋊C4×C73C2×D411yescharacteristic
699C4⋊C4×C73C2411yescharacteristic
700C4⋊C4×C73C2411yescharacteristic
701C4⋊C4×C73C2411yescharacteristic
702C4⋊C4×C73C2411yescharacteristic
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C42×C73C2411yescharacteristic
710C42×C73C2411yescharacteristic
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—21no—
716C22×D73—21no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—21no—
720C22×D73—42no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—81no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73—81no—
731C22×D73—81no—
732C22×D73—81no—
733C22×D73—81no—
734C22×D73—81no—
735C22×D73—81no—
736C22×D73—81no—
737C22×D73—81no—
738C22×D73C22×D411yescharacteristic
739C22×D73C22×D411yescharacteristic
740C22×D73C22×D411yescharacteristic
741Q8×C73—41no—
742Q8×C73—81no—
743D4×C73—21no—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—42no—
751D4×C73—81no—
752D4×C73—81no—
753D4×C73—81no—
754D4×C73—81no—
755D4×C73—81no—
756D4×C73H(5,𝔽2)12yes—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—42no—
762C2×C4×C73—81no—
763C2×C4×C73—81no—
764C2×C4×C73—81no—
765C2×C4×C73—81no—
766C2×C4×C73—81no—
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C22×D411yescharacteristic
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C2511yescharacteristic
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—81no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—42no—
795C2×Dic73—81no—
796C2×Dic73—81no—
797C2×Dic73—81no—
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803D292—22no—
804D292—22no—
805D292—21no—
806D292—21no—
807D292—21no—
808D292—21no—
809D292—21no—
810D292—21no—
811D292—21no—
812D292—21no—
813D292—41no—
814D292—42no—
815D292—42no—
816D292—81no—
817D292—81no—
818D292—81no—
819D292—81no—
820D292—81no—
821D292—81no—
822D292—81no—
823D292—81no—
824C4×D73—22no—
825C4×D73—21no—
826C4×D73—21no—
827C4×D73—21no—
828C4×D73—21no—
829C4×D73—21no—
830C4×D73—21no—
831C4×D73—41no—
832C4×D73—42no—
833C4×D73—81no—
834C4×D73—81no—
835C4×D73—81no—
836C4×D73—81no—
837C4×D73—81no—
838C4×D73—81no—
839C4×D73—81no—
840Dic146—21no—
841Dic146—21no—
842Dic146—21no—
843Dic146—21no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—22no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73C23×D411yescharacteristic
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—21no—
870C2×D73—21no—
871C2×D73—21no—
872C2×D73—21no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—84no—
886C2×D73—162no—
887C2×D73—162no—
888C2×D73—162no—
889C2×D73—162no—
890C2×D73—162no—
891C2×D73#57612yes—
892C4×C73—21no—
893C4×C73—21no—
894C4×C73—21no—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—21no—
898C4×C73—41no—
899C4×C73—41no—
900C4×C73—41no—
901C4×C73—41no—
902C4×C73C2×H(5,𝔽2)11yescharacteristic
903C4×C73#58511yescharacteristic
904Dic73—21no—
905Dic73—21no—
906Dic73—21no—
907Dic73—21no—
908Dic73—21no—
909Dic73—41no—
910Dic73—41no—
911Dic73—41no—
912Dic73—41no—
913#62007—731nomaximal, Sylow
914C2×C73—42no—
915C2×C73—81no—
916C2×C73—81no—
917C2×C73—81no—
918C2×C73#348811yescharacteristic
919C2×C73C2×#57611yescharacteristic
920C2×C73#358511yescharacteristic
921D73—22no—
922D73—41no—
923D73—41no—
924D73—81no—
925D73—81no—
926D73—81no—
927D73—81no—
928#3543—731no—
929#3513—731no—
930#3403—731no—
931#3399—731no—
932#3370—731no—
933#3366D7311yescharacteristic, complemented
934#3318—731no—
935#3310—731no—
936#3309—731no—
937#3306—731no—
938#3296—731no—
939#3294—731no—
940#3280—731no—
941D4×D8—731no—
942#3268—731no—
943#3264—731no—
944#3264—731no—
945#3264—731no—
946#3259—731no—
947#3257—731no—
948#3250—731no—
949#3224—731no—
950#3220—731no—
951#3217—731no—
952#3122—731no—
953#3119—731no—
954#3114—731no—
955#3045—731no—
956#3041—731no—
957C2×#459—731no—
958#2992—731no—
959C73#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—731no—
961C2×AGL(1,ℤ/8)—731no—
962C2×#135—731no—
963C22×D8—731no—
964C22×D8—731no—
965C22×D8—731no—
966#560—1461no—
967#560—1461no—
968#559—731no—
969#559—731no—
970#554C2×D7311yescharacteristic, complemented
971#553—731no—
972#553—1461no—
973#552—731no—
974#551—1461no—
975#551—1461no—
976#550—731no—
977#550C2×D7311yescharacteristic, complemented
978#547—731no—
979#546—731no—
980#546—731no—
981#546—731no—
982#546—731no—
983#546—1461no—
984#546—1461no—
985D42—731no—
986D42—731no—
987D42—731no—
988D42—731no—
989D42—1461no—
990#542—731no—
991#540—731no—
992#540—731no—
993#540—731no—
994#540—1461no—
995#539—1461no—
996#538—1461no—
997#535—731no—
998#535—731no—
999#535—1461no—
1000#534—1461no—
1001#534—1461no—
1002C2×#127—731no—
1003#529—731no—
1004#529—731no—
1005#529—731no—
1006#525—1461no—
1007C2×#123—1461no—
1008#520—731no—
1009#518—731no—
1010C2×C4×D4—731no—
1011#496—731no—
1012#496—731no—
1013#496—731no—
1014#496—731no—
1015#495—731no—
1016#493—731no—
1017#490—731no—
1018#490C2×D7311yescharacteristic, complemented
1019#490C2×D7311yescharacteristic, complemented
1020#489—731no—
1021#488—731no—
1022#486C2×D7311yescharacteristic, complemented
1023#483—731no—
1024#482—731no—
1025#482—731no—
1026#481—731no—
1027#480—731no—
1028#480—731no—
1029#479—731no—
1030#479—731no—
1031#478—731no—
1032#478—731no—
1033#478—731no—
1034#478—731no—
1035#478C2×D7311yescharacteristic, complemented
1036#478C2×D7311yescharacteristic, complemented
1037#476C2×D7311yescharacteristic, complemented
1038#474—731no—
1039#469—731no—
1040#469—731no—
1041#469—731no—
1042#468—731no—
1043#467—731no—
1044#466—731no—
1045#466—731no—
1046#466—731no—
1047#466—731no—
1048#465—731no—
1049#465—731no—
1050#465—731no—
1051#464—731no—
1052#464—731no—
1053#464—731no—
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463—731no—
1062#463—731no—
1063#460—731no—
1064#460—731no—
1065#460—731no—
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#459—731no—
1072#459—731no—
1073#459—731no—
1074#459—731no—
1075#459—731no—
1076#459—731no—
1077#459—731no—
1078#459C2×D7311yescharacteristic, complemented
1079#459C2×D7311yescharacteristic, complemented
1080#459C2×D7311yescharacteristic, complemented
1081#452—731no—
1082#450—731no—
1083#450—731no—
1084#450—731no—
1085#450—731no—
1086#449—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449—731no—
1091#447—731no—
1092#447—731no—
1093#447—731no—
1094#447—731no—
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#446—731no—
1100#446C2×D7311yescharacteristic, complemented
1101#442—731no—
1102#442—731no—
1103#442—731no—
1104#442C2×D7311yescharacteristic, complemented
1105#442C2×D7311yescharacteristic, complemented
1106#440—731no—
1107#440—731no—
1108#440—731no—
1109C4×SD16—731no—
1110C4×D8—731no—
1111C4×D8—731no—
1112C4×D8C2×D7311yescharacteristic, complemented
1113#435—731no—
1114#435—731no—
1115#435—731no—
1116#435—731no—
1117C8×D4—731no—
1118C8×D4—731no—
1119#433—731no—
1120#433—731no—
1121#432—731no—
1122#424—731no—
1123#424—731no—
1124C2×C4⋊C8—731no—
1125#418—731no—
1126#417—731no—
1127#416—731no—
1128C2×#102—731no—
1129C2×#102—731no—
1130C2×#102—731no—
1131C2×#41—21no—
1132C2×#41—731no—
1133C2×#41—731no—
1134C2×#41—731no—
1135C2×#41—1461no—
1136C22×D4—731no—
1137C22×D4—731no—
1138C22×D4—731no—
1139C22×D4—731no—
1140C22×D4—731no—
1141C22×D4—731no—
1142C22×D4—1461no—
1143C22×D4—1461no—
1144C22×D4—1461no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4—1461no—
1148C23×C4—1461no—
1149AGL(1,ℤ/8)—2922no—
1150AGL(1,ℤ/8)—2922no—
1151#135—2922no—
1152C2×Q16—731no—
1153C2×SD16—731no—
1154C2×SD16—731no—
1155C2×SD16—731no—
1156C2×SD16—731no—
1157C2×SD16—731no—
1158C2×SD16—731no—
1159C2×SD16—731no—
1160C2×SD16—731no—
1161C2×D8—2922no—
1162C2×D8—2922no—
1163C2×D8—2922no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×D8—731no—
1168C2×D8—731no—
1169C2×D8—731no—
1170C2×D8—731no—
1171C2×D8—731no—
1172C2×D8—731no—
1173C2×D8—731no—
1174C2×D8—731no—
1175C2×D8—731no—
1176C2×D8C22×D7311yescharacteristic
1177C2×D8C22×D7311yescharacteristic
1178C2×D8C22×D7311yescharacteristic
1179C2×M16—731no—
1180C2×M16—731no—
1181C22×C8—731no—
1182C22×C8—731no—
1183C22×C8—731no—
1184C22×C8—731no—
1185C4⋊Q8C22×D7311yescharacteristic
1186#127—731no—
1187#127—731no—
1188#127—731no—
1189#127—731no—
1190#127—1461no—
1191#127—1461no—
1192#127—1461no—
1193#127C22×D7311yescharacteristic
1194#127C22×D7311yescharacteristic
1195#127C22×D7311yescharacteristic
1196#126—731no—
1197#126—731no—
1198#126—1461no—
1199#126—1461no—
1200#126—1461no—
1201#126—1461no—
1202#126—1461no—
1203#125—731no—
1204#125—731no—
1205#125—1461no—
1206#125C22×D7311yescharacteristic
1207#125C22×D7311yescharacteristic
1208#124—731no—
1209#124—731no—
1210#124—731no—
1211#124—731no—
1212#124—731no—
1213#124—731no—
1214#124—1461no—
1215#124—1461no—
1216#124—1461no—
1217#123—731no—
1218#123—731no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228#123—1461no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—731no—
1244C22⋊Q8—731no—
1245C22⋊Q8—731no—
1246C22⋊Q8—731no—
1247C22⋊Q8—1461no—
1248C22⋊Q8—1461no—
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—731no—
1253#121—731no—
1254#121—731no—
1255#121—731no—
1256#121—731no—
1257#121—731no—
1258#121—731no—
1259#121—731no—
1260#121—731no—
1261#121—731no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#120—1461no—
1284#120—1461no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290#120—1461no—
1291#120—1461no—
1292#120—1461no—
1293#120—1461no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299C4×Q8—731no—
1300C4×Q8—731no—
1301C4×Q8—731no—
1302C4×Q8C22×D7311yescharacteristic
1303C4×D4—731no—
1304C4×D4—731no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—1461no—
1314C4×D4—1461no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4C22×D7311yescharacteristic
1326C4×D4C22×D7311yescharacteristic
1327C4×D4C22×D7311yescharacteristic
1328C4×D4C22×D7311yescharacteristic
1329C4×D4C22×D7311yescharacteristic
1330C4×D4C22×D7311yescharacteristic
1331#117—731no—
1332#117—731no—
1333#117—731no—
1334#117—1461no—
1335#117—1461no—
1336#117—1461no—
1337#117—1461no—
1338C2×C4⋊C4—21no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—731no—
1341C2×C4⋊C4—1461no—
1342C2×C22⋊C4—1461no—
1343C2×C22⋊C4—1461no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C42—731no—
1350#107—731no—
1351#107—731no—
1352#107—731no—
1353#107C22×D7311yescharacteristic
1354#106—731no—
1355#106—731no—
1356#106C22×D7311yescharacteristic
1357#106C22×D7311yescharacteristic
1358C4⋊C8—731no—
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8C22×D7311yescharacteristic
1366C4⋊C8C22×D7311yescharacteristic
1367C4⋊C8C22×D7311yescharacteristic
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103—731no—
1372#103—731no—
1373#103—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102C22×D7311yescharacteristic
1391#102C22×D7311yescharacteristic
1392#102C22×D7311yescharacteristic
1393#102C22×D7311yescharacteristic
1394#102C22×D7311yescharacteristic
1395#102C22×D7311yescharacteristic
1396#102C22×D7311yescharacteristic
1397#102C22×D7311yescharacteristic
1398#102C22×D7311yescharacteristic
1399#102C22×D7311yescharacteristic
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C22⋊C8—731no—
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406#97—731no—
1407#97—731no—
1408#97C22×D7311yescharacteristic
1409#97C22×D7311yescharacteristic
1410C4×C8—731no—
1411C4×C8C22×D7311yescharacteristic
1412C24—1461no—
1413C24—1461no—
1414C24—1461no—
1415C24—1461no—
1416C24—1461no—
1417C24—1461no—
1418#41—82no—
1419#41—2921no—
1420#41—2921no—
1421#41—2921no—
1422#41—2921no—
1423#41—2921no—
1424#41—5842no—
1425#41—1462no—
1426C2×Q8—21no—
1427C2×Q8—731no—
1428C2×Q8—731no—
1429C2×Q8D4×D7311yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—2921no—
1437C2×D4—2921no—
1438C2×D4—2921no—
1439C2×D4—2921no—
1440C2×D4—2921no—
1441C2×D4—2921no—
1442C2×D4—2921no—
1443C2×D4—2921no—
1444C2×D4—2921no—
1445C2×D4—2921no—
1446C2×D4—5842no—
1447C2×D4—5842no—
1448C2×D4—5842no—
1449C2×D4—5842no—
1450C2×D4—5842no—
1451C2×D4—5842no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—731no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1462no—
1478C2×D4—1462no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4—1461no—
1487C2×D4C23×D7311yescharacteristic
1488C2×D4C23×D7311yescharacteristic
1489C2×D4C23×D7311yescharacteristic
1490C2×D4C23×D7311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—5842no—
1498C22×C4—731no—
1499C22×C4—731no—
1500C22×C4—731no—
1501C22×C4—731no—
1502C22×C4—731no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515Q16—2921no—
1516SD16—2921no—
1517SD16—2921no—
1518SD16—2921no—
1519SD16—2921no—
1520SD16—2921no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—1462no—
1524D8—22no—
1525D8—22no—
1526D8—22no—
1527D8—2921no—
1528D8—2921no—
1529D8—2921no—
1530D8—2921no—
1531D8—2921no—
1532D8—2921no—
1533D8—2921no—
1534D8—2921no—
1535D8—2921no—
1536D8—2921no—
1537D8—1462no—
1538D8—1462no—
1539M16—2921no—
1540M16—2921no—
1541C2×C8—2921no—
1542C2×C8—2921no—
1543C2×C8—2921no—
1544C2×C8—2921no—
1545C2×C8—731no—
1546C2×C8—731no—
1547C2×C8—731no—
1548C2×C8—731no—
1549C2×C8C23×D7311yescharacteristic
1550C2×C8C23×D7311yescharacteristic
1551C2×C8C23×D7311yescharacteristic
1552C2×C8C23×D7311yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—731no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—731no—
1565C4⋊C4—731no—
1566C4⋊C4—731no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4D4×D7311yescharacteristic
1578C4⋊C4D4×D7311yescharacteristic
1579C4⋊C4D4×D7311yescharacteristic
1580C4⋊C4C23×D7311yescharacteristic
1581C4⋊C4C23×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—731no—
1591C22⋊C4—731no—
1592C22⋊C4—731no—
1593C22⋊C4—731no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C42—731no—
1631C42—731no—
1632C42—731no—
1633C42—1461no—
1634C42—1461no—
1635C42—1461no—
1636C42—1461no—
1637C42C23×D7311yescharacteristic
1638C42C23×D7311yescharacteristic
1639C42C23×D7311yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—2922no—
1645C23—2922no—
1646C23—2922no—
1647C23—2922no—
1648C23—2922no—
1649C23—5841no—
1650C23—5841no—
1651C23—5841no—
1652C23—5841no—
1653C23—5841no—
1654C23—5841no—
1655C23—5841no—
1656C23—5841no—
1657C23—5841no—
1658C23—5841no—
1659C23—5841no—
1660C23—5841no—
1661C23—5841no—
1662C23—731no—
1663C23—731no—
1664C23—731no—
1665C23—1461no—
1666C23—1461no—
1667C23—1461no—
1668C23—1461no—
1669Q8—41no—
1670Q8—81no—
1671Q8—1461no—
1672Q8—1461no—
1673Q8—1461no—
1674Q8—1461no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—2922no—
1689D4—2921no—
1690D4—2922no—
1691D4—2922no—
1692D4—2922no—
1693D4—2922no—
1694D4—2922no—
1695D4—5841no—
1696D4—5841no—
1697D4—5841no—
1698D4—5841no—
1699D4—5841no—
1700D4—5841no—
1701D4—5841no—
1702D4—5841no—
1703D4—5841no—
1704D4—5841no—
1705D4—5841no—
1706D4—5841no—
1707D4—5841no—
1708D4—5841no—
1709D4—5841no—
1710D4—5841no—
1711D4—5841no—
1712D4—5841no—
1713D4—5841no—
1714D4—5841no—
1715D4—1462no—
1716D4—1462no—
1717D4—1461no—
1718D4—1461no—
1719D4—1461no—
1720D4—1461no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4#1455663712yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—42no—
1731C2×C4—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—2921no—
1737C2×C4—2922no—
1738C2×C4—2922no—
1739C2×C4—5841no—
1740C2×C4—5841no—
1741C2×C4—5841no—
1742C2×C4—5841no—
1743C2×C4—5841no—
1744C2×C4—5841no—
1745C2×C4—5841no—
1746C2×C4—5841no—
1747C2×C4—5841no—
1748C2×C4—5841no—
1749C2×C4—731no—
1750C2×C4—731no—
1751C2×C4—731no—
1752C2×C4—731no—
1753C2×C4—731no—
1754C2×C4—1462no—
1755C2×C4—1461no—
1756C2×C4—1461no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4—1461no—
1760C2×C4—1461no—
1761C2×C4—1461no—
1762C2×C4—1461no—
1763C2×C4—1461no—
1764C2×C4—1461no—
1765C2×C4C2×D4×D7311yescharacteristic
1766C2×C4C2×D4×D7311yescharacteristic
1767C2×C4C2×D4×D7311yescharacteristic
1768C2×C4C2×D4×D7311yescharacteristic
1769C2×C4C2×D4×D7311yescharacteristic
1770C2×C4C2×D4×D7311yescharacteristic
1771C2×C4C24×D7311yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1461no—
1777C8—1461no—
1778C8—1461no—
1779C8—1461no—
1780C22—22no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—2921no—
1793C22—2921no—
1794C22—2921no—
1795C22—2921no—
1796C22—2921no—
1797C22—2921no—
1798C22—2921no—
1799C22—2921no—
1800C22—2921no—
1801C22—2921no—
1802C22—2921no—
1803C22—2921no—
1804C22—5844no—
1805C22—732no—
1806C22—11682no—
1807C22—11682no—
1808C22—11682no—
1809C22—11682no—
1810C22—11682no—
1811C22—1461no—
1812C22—1461no—
1813C22—1461no—
1814C22—1461no—
1815C22—1461no—
1816C22—1461no—
1817C22—1461no—
1818C22—1461no—
1819C22C22×D4×D7311yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—2921no—
1831C4—2921no—
1832C4—2921no—
1833C4—2921no—
1834C4—1461no—
1835C4—1461no—
1836C4—1461no—
1837C4—1461no—
1838C4—1461no—
1839C4C2×#1455663711yescharacteristic
1840C4#1798942411yescharacteristic
1841C2—42no—
1842C2—81no—
1843C2—81no—
1844C2—81no—
1845C2—2921no—
1846C2—2921no—
1847C2—5841no—
1848C2—5841no—
1849C2—5841no—
1850C2—5841no—
1851C2—1462no—
1852C2#2262359711yescharacteristic
1853C2#576×D7311yescharacteristic
1854C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3366C2
socleC22×C73C23×D4
hypercenter#3366D73
hypocenterC73#62007
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #22624255C2semidirect
2. #22623874C2semidirect
3. #22623021C2semidirect
4. #22622973C2semidirect
5. #22622684C2semidirect
6. #22622069C2semidirect
7. #22621951C2semidirect
8. #22621936C2semidirect
9. #22621889C2semidirect
10. #22621763C2semidirect
11. #22621743C2semidirect
12. #22621617C2semidirect
13. #22621603C2semidirect
14. #22621477C2semidirect
15. #22621413C2semidirect
16. #22621413C2semidirect
17. #22621406C2semidirect
18. #22621369C2semidirect
19. #22621341C2semidirect
20. #22621282C2semidirect
21. #22621028C2semidirect
22. #22620982C2semidirect
23. #22620950C2semidirect
24. #22620171C2semidirect
25. #22620134C2semidirect
26. #22620067C2semidirect
27. #22619465C2semidirect
28. #22619429C2semidirect
29. #459×D73C2semidirect
30. #22619069C2semidirect
31. C73×#3366C2semidirect
32. C2×#14556615C22semidirect
33. C2×#14556615C22semidirect
34. C2×#14556610C22semidirect
35. C2×D8×D73C22semidirect
36. C2×D8×D73C22semidirect
37. C2×D8×D73C22semidirect
40. #17989322C22semidirect
41. #17989322C22semidirect
42. #17989290C22semidirect
44. #17989275C22semidirect
47. #17989257C22semidirect
48. #17989240C22semidirect
50. #17989232C22semidirect
51. #17989232C22semidirect
52. #17989232C22semidirect
55. D4×D292C22semidirect
56. D4×D292C22semidirect
58. #17989222C22semidirect
60. #17989211C22semidirect
61. #17989193C22semidirect
63. #17989188C22semidirect
64. #17989188C22semidirect
68. #17989150C22semidirect
69. #17989150C22semidirect
72. #127×D73C22semidirect
74. #17989122C22semidirect
75. #17989119C22semidirect
78. #17989066C22semidirect
79. #17989059C22semidirect
80. C4×D4×D73C22semidirect
81. #17988976C22semidirect
82. #17988976C22semidirect
83. #17988974C22semidirect
84. #17988974C22semidirect
85. #17988971C22semidirect
86. #17988963C22semidirect
87. #17988953C22semidirect
88. #17988949C22semidirect
89. #17988944C22semidirect
90. #17988919C22semidirect
91. #17988914C22semidirect
92. #17988909C22semidirect
93. #17988907C22semidirect
94. #17988899C22semidirect
95. #17988899C22semidirect
96. #17988897C22semidirect
97. #17988891C22semidirect
98. #17988890C22semidirect
99. #17988886C22semidirect
100. #17988885C22semidirect
101. #17988884C22semidirect
102. #17988864C22semidirect
103. #17988841C22semidirect
104. #17988841C22semidirect
105. #17988839C22semidirect
106. #17988832C22semidirect
107. #17988829C22semidirect
108. #17988824C22semidirect
110. #17988822C22semidirect
111. #17988822C22semidirect
112. #17988817C22semidirect
113. #17988817C22semidirect
114. #17988815C22semidirect
115. #17988810C22semidirect
116. #17988810C22semidirect
117. #17988808C22semidirect
118. #17988803C22semidirect
119. #17988803C22semidirect
120. #17988802C22semidirect
121. #17988802C22semidirect
122. #17988802C22semidirect
123. #17988802C22semidirect
124. #17988801C22semidirect
125. #17988801C22semidirect
126. #17988800C22semidirect
127. #17988786C22semidirect
128. #17988786C22semidirect
129. #17988784C22semidirect
130. #17988783C22semidirect
131. #17988783C22semidirect
133. #17988782C22semidirect
134. #17988781C22semidirect
135. #17988781C22semidirect
136. #17988781C22semidirect
137. #17988781C22semidirect
138. #17988780C22semidirect
139. #17988780C22semidirect
140. #17988779C22semidirect
141. #17988779C22semidirect
142. #17988750C22semidirect
143. #17988739C22semidirect
144. #17988739C22semidirect
145. #17988739C22semidirect
146. #17988739C22semidirect
147. #17988733C22semidirect
148. #17988733C22semidirect
149. #17988733C22semidirect
150. #17988733C22semidirect
151. #17988729C22semidirect
152. #17988722C22semidirect
153. #17988722C22semidirect
154. #17988722C22semidirect
155. #17988722C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
159. #17988719C22semidirect
160. #17988718C22semidirect
161. #17988697C22semidirect
162. #17988697C22semidirect
163. #17988697C22semidirect
164. #17988689C22semidirect
165. #17988689C22semidirect
166. #17988687C22semidirect
167. C4×#11924016C22semidirect
168. C4×D584C22semidirect
169. C4×#11924013C22semidirect
170. #17988660C22semidirect
171. #17988660C22semidirect
172. #17988657C22semidirect
173. #17988657C22semidirect
174. C8×D292C22semidirect
175. #17988652C22semidirect
176. #17988649C22semidirect
177. #17988646C22semidirect
178. #17988642C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988590C22semidirect
183. #17988585C22semidirect
184. #17988580C22semidirect
185. #102×D73C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. #554×C73C22semidirect
189. #550×C73C22semidirect
190. #490×C73C22semidirect
191. #490×C73C22semidirect
192. #486×C73C22semidirect
193. #478×C73C22semidirect
194. #478×C73C22semidirect
195. #476×C73C22semidirect
196. #459×C73C22semidirect
197. #459×C73C22semidirect
198. #459×C73C22semidirect
199. #446×C73C22semidirect
200. #442×C73C22semidirect
201. #442×C73C22semidirect
202. C4×D8×C73C22semidirect
933. #3366D73semidirect
959. C73#62007semidirect
970. #554C2×D73semidirect
977. #550C2×D73semidirect
1018. #490C2×D73semidirect
1019. #490C2×D73semidirect
1022. #486C2×D73semidirect
1035. #478C2×D73semidirect
1036. #478C2×D73semidirect
1037. #476C2×D73semidirect
1078. #459C2×D73semidirect
1079. #459C2×D73semidirect
1080. #459C2×D73semidirect
1100. #446C2×D73semidirect
1104. #442C2×D73semidirect
1105. #442C2×D73semidirect
1112. C4×D8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242552
#226238742
#226230212
#226229732
#226226842
#226220692
#226219512
#226219362
#226218892
#226217632
#226217432
#226216172
#226216032
#226214772
#226214132
#226214062
#226213692
#226213412
#226212822
#226210282
#226209822
#226209502
#226201712
#226201342
#226200672
#226194652
#226194292
#459×D732
#226190692
C73×#33662
#6200773