Finite Group Databasebeta

← #33967862

Subgroups — #33967862

Order 18688.

1958 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623556C211yesmaximal, characteristic, complemented
2#22623538C211yesmaximal, characteristic, complemented
3#22622974C211yesmaximal, characteristic, complemented
4#22622838C211yesmaximal, characteristic, complemented
5#22622748C211yesmaximal, characteristic, complemented
6#22622641C211yesmaximal, characteristic, complemented
7#22622553C211yesmaximal, characteristic, complemented
8#22622427C211yesmaximal, characteristic, complemented
9#22622267C211yesmaximal, characteristic, complemented
10#22622171C211yesmaximal, characteristic, complemented
11#22622085C211yesmaximal, characteristic, complemented
12#22622081C211yesmaximal, characteristic, complemented
13#22621935C211yesmaximal, characteristic, complemented
14#22621931C211yesmaximal, characteristic, complemented
15#22621548C211yesmaximal, characteristic, complemented
16#22621476C211yesmaximal, characteristic, complemented
17#22621468C211yesmaximal, characteristic, complemented
18#22620528C211yesmaximal, characteristic, complemented
19#22620521C211yesmaximal, characteristic, complemented
20#22620505C211yesmaximal, characteristic, complemented
21#22619986C211yesmaximal, characteristic, complemented
22#22619986C211yesmaximal, characteristic, complemented
23#22619954C211yesmaximal, characteristic, complemented
24#22619944C211yesmaximal, characteristic, complemented
25#22619933C211yesmaximal, characteristic, complemented
26#22619928C211yesmaximal, characteristic, complemented
27#22618891C211yesmaximal, characteristic, complemented
28#22618742C211yesmaximal, characteristic, complemented
29#22618738C211yesmaximal, characteristic, complemented
30#22618702C211yesmaximal, characteristic, complemented
31C73×#3347C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556613C2211yescharacteristic
35#17989320C2211yescharacteristic
36#17989317C2211yescharacteristic, complemented
37#17989300—21no—
38#17989300C2211yescharacteristic
39#17989300C2211yescharacteristic, complemented
40#17989299—21no—
41#17989299—21no—
42#17989293C2211yescharacteristic
43#17989292C2211yescharacteristic
44#17989282—21no—
45#17989281C2211yescharacteristic
46#17989266—21no—
47#17989262—21no—
48#17989258C2211yescharacteristic, complemented
49#17989258C2211yescharacteristic, complemented
50#17989255—21no—
51#17989255C2211yescharacteristic
52#17989255C2211yescharacteristic, complemented
53#17989234C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989221C2211yescharacteristic
57#17989138C2211yescharacteristic, complemented
58#17989136—21no—
59#17989136—21no—
60#17989132—21no—
61#17989132C2211yescharacteristic
62#17989132C2211yescharacteristic, complemented
63#17989132C2211yescharacteristic, complemented
64#17989122C2211yescharacteristic
65#17989120—21no—
66#17989118C2211yescharacteristic
67#17989097—21no—
68#17989095—21no—
69#17989055—21no—
70#17989055C2211yescharacteristic
71#17989055C2211yescharacteristic, complemented
72#17989055C2211yescharacteristic, complemented
73C4×#11924027C2211yescharacteristic
74C4×#11924027C2211yescharacteristic, complemented
75C2×#14556553C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic
83#17988953C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic
88#17988932C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic
92#17988911C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988902C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988900C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988891C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic
103#17988876C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic
105#17988866C2211yescharacteristic, complemented
106#17988864C2211yescharacteristic
107#17988841C2211yescharacteristic
108#17988841C2211yescharacteristic
109#17988838C2211yescharacteristic
110#17988834C2211yescharacteristic, complemented
111#17988834C2211yescharacteristic, complemented
112#17988833C2211yescharacteristic, complemented
113#17988831C2211yescharacteristic, complemented
114#17988823C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988786C2211yescharacteristic
122#17988786C2211yescharacteristic, complemented
123#17988783C2211yescharacteristic
124#17988782C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic
126#17988781C2211yescharacteristic
127#17988781C2211yescharacteristic
128#17988781C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988734C2211yescharacteristic
132#17988734C2211yescharacteristic, complemented
133#17988733C2211yescharacteristic
134#17988730C2211yescharacteristic
135#17988730C2211yescharacteristic
136#17988730C2211yescharacteristic, complemented
137#17988723C2211yescharacteristic
138#17988722C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic
144#17988698C2211yescharacteristic, complemented
145#17988697C2211yescharacteristic
146#17988689C2211yescharacteristic
147#17988687C2211yescharacteristic, complemented
148#17988686C2211yescharacteristic
149#17988686C2211yescharacteristic, complemented
150#17988681C2211yescharacteristic, complemented
151#17988681C2211yescharacteristic, complemented
152#17988678C2211yescharacteristic, complemented
153#17988678C2211yescharacteristic, complemented
154#17988674C2211yescharacteristic
155#17988674C2211yescharacteristic
156#17988674C2211yescharacteristic, complemented
157#17988674C2211yescharacteristic, complemented
158#17988674C2211yescharacteristic, complemented
159#17988674C2211yescharacteristic, complemented
160D8×Dic73C2211yescharacteristic, complemented
161#17988669C2211yescharacteristic
162#17988669C2211yescharacteristic
163#17988669C2211yescharacteristic
164#17988669C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic
167#17988667C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic
171#17988662C2211yescharacteristic
172#17988659C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988639C2211yescharacteristic, complemented
176#17988637C2211yescharacteristic, complemented
177#17988637C2211yescharacteristic, complemented
178#17988626C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic
180#17988590C2211yescharacteristic
181#17988586C2211yescharacteristic, complemented
182#17988585C2211yescharacteristic, complemented
183#17988581C2211yescharacteristic
184#17988581C2211yescharacteristic, complemented
185#17988539C2211yescharacteristic, complemented
186M16×Dic73C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188#555×C73C2211yescharacteristic, complemented
189#553×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic
192#482×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic, complemented
197#469×C73C2211yescharacteristic
198#466×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#427×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027D411yescharacteristic
212C2×#11924027C2311yescharacteristic
213C22×D292C2311yescharacteristic
214C2×D4×D73—21no—
215C2×D4×D73C2311yescharacteristic
216C22×C4×D73—21no—
217C22×C4×D73—21no—
218#14556619—24no—
219#14556615—24no—
220#14556613—24no—
221C2×Dic292C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924012C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C2×#11924011C2311yescharacteristic
239C22×#10596831C2311yescharacteristic
240#14556590—21no—
241#14556590C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556590C2311yescharacteristic
244#14556589—21no—
245#14556589—21no—
246#14556588C2311yescharacteristic
247#14556587—21no—
248#14556587—21no—
249#14556587—21no—
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556586—21no—
254#14556585—21no—
255#14556584—21no—
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556580—21no—
259#14556579—21no—
260#14556579—21no—
261#14556579C2311yescharacteristic
262#14556578C2311yescharacteristic
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556576—21no—
271#14556574—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556572—21no—
276#14556571—21no—
277#14556571C2311yescharacteristic
278#14556570—21no—
279#14556570C2311yescharacteristic
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556566—21no—
284#14556566C2311yescharacteristic
285#14556566C2311yescharacteristic
286#14556566C2311yescharacteristic
287#14556565—21no—
288#14556565C2311yescharacteristic
289#14556565C2311yescharacteristic
290#14556565C2311yescharacteristic
291#14556564—21no—
292#14556564—21no—
293#14556564—21no—
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556562—21no—
308#14556561—21no—
309#14556559—21no—
310#14556559—21no—
311#14556559—21no—
312C4×Dic146C2311yescharacteristic
313C4×Dic146C2311yescharacteristic
314#14556556—21no—
315#14556556D411yescharacteristic
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321C4×D292—21no—
322C4×D292C2311yescharacteristic
323D4×Dic73—21no—
324D4×Dic73D411yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327#14556553—21no—
328#14556553—21no—
329#14556553—21no—
330#14556553—21no—
331#14556553—21no—
332#14556553C2311yescharacteristic
333#14556553C2311yescharacteristic
334#14556553C2311yescharacteristic
335#14556553C2311yescharacteristic
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551D411yescharacteristic
361#14556551D411yescharacteristic
362#14556549—21no—
363#14556549D411yescharacteristic
364#14556549C2311yescharacteristic
365#14556548—21no—
366#14556548—21no—
367#14556548—21no—
368#14556548—21no—
369#14556548—21no—
370#14556547—21no—
371#14556547—21no—
372#14556547D411yescharacteristic
373#14556547D411yescharacteristic
374C4⋊C4×D73—21no—
375C4⋊C4×D73C2311yescharacteristic
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73C2311yescharacteristic
382C2×C4×Dic73C2311yescharacteristic
383C42×D73—21no—
384C42×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556514C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73C2311yescharacteristic
444#124×C73—21no—
445#124×C73—21no—
446#123×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—82no—
484#11924028—22no—
485#11924028—22no—
486#11924028—22no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490#11924028—44no—
491#11924027—22no—
492#11924027—41no—
493#11924027—42no—
494#11924027—82no—
495#11924027—82no—
496#11924027—82no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×D292—22no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—41no—
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
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⋊D73C2×D411yescharacteristic
530C2×C22⋊D73C2×D411yescharacteristic
531D4×D73—22no—
532D4×D73—41no—
533D4×D73—44no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73C2×D411yescharacteristic
538C22×Dic73C2×D411yescharacteristic
539C22×Dic73C2×D411yescharacteristic
540C22×Dic73C2×D411yescharacteristic
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—82no—
556C2×C4×D73—82no—
557C2×C4×D73C2×D411yescharacteristic
558C2×C4×D73C2×D411yescharacteristic
559C2×C4×D73C2411yescharacteristic
560Dic292—22no—
561#11924017—22no—
562#11924017—22no—
563#11924017—41no—
564#11924017#4114yescomplemented
565#11924016—22no—
566#11924016—41no—
567D584—22no—
568D584—22no—
569D584—22no—
570D584—41no—
571#11924013—22no—
572#11924013—41no—
573#11924013—41no—
574#11924013—41no—
575#11924012—41no—
576#11924011—22no—
577#11924011—41no—
578C2×#10596831—41no—
579C2×#10596831C2411yescharacteristic
580C2×#10596831C2411yescharacteristic
581C2×#10596831C2411yescharacteristic
582C2×#10596831C2411yescharacteristic
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73C2×D411yescharacteristic
610C22⋊Dic73C2×D411yescharacteristic
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C2×Q8×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73—21no—
654C2×D4×C73C2×D411yescharacteristic
655C2×D4×C73C2411yescharacteristic
656C2×D4×C73C2411yescharacteristic
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73C2411yescharacteristic
661C22×C4×C73C2411yescharacteristic
662D8×C73—22no—
663M16×C73—22no—
664C2×C8×C73—22no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73C2×D411yescharacteristic
690C22⋊C4×C73C2×D411yescharacteristic
691C42×C73—21no—
692C42×C73—21no—
693C42×C73—21no—
694C42×C73C2411yescharacteristic
695C23×C73—21no—
696C23×C73—21no—
697C23×C73C22×D411yescharacteristic
698C23×C73C22×D411yescharacteristic
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—42no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73C22×D411yescharacteristic
710Q8×C73—81no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—41no—
716D4×C73—42no—
717D4×C73—81no—
718D4×C73—81no—
719D4×C73—81no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—42no—
731C2×C4×C73—81no—
732C2×C4×C73—81no—
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C2511yescharacteristic
738C22⋊D73—22no—
739C22⋊D73—41no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C2×Dic73—21no—
755C2×Dic73—22no—
756C2×Dic73—22no—
757C2×Dic73—22no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—41no—
762C2×Dic73—42no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—21no—
778D292—21no—
779D292—42no—
780D292—42no—
781D292—42no—
782D292—81no—
783D292—81no—
784D292—81no—
785D292C2×#4112yes—
786C4×D73—21no—
787C4×D73—21no—
788C4×D73—22no—
789C4×D73—41no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—42no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804Dic146—21no—
805Dic146—22no—
806Dic146—21no—
807Dic146—21no—
808Dic146—81no—
809Dic146—81no—
810Dic146—81no—
811Dic146C2×#4112yes—
812C8×C73—21no—
813C8×C73—21no—
814C8×C73—21no—
815C8×C73C2×#4112yes—
816#10596831—21no—
817#10596831—21no—
818#10596831—21no—
819#10596831—21no—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73C23×D411yescharacteristic
833C2×D73—21no—
834C2×D73—22no—
835C2×D73—21no—
836C2×D73—21no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—84no—
849C2×D73—84no—
850C4×C73—21no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—41no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73C22×#4111yescharacteristic
861C4×C73#58511yescharacteristic
862Dic73—22no—
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—41no—
869Dic73—41no—
870Dic73—41no—
871Dic73#57512yes—
872Dic73#57612yes—
873#61449—731nomaximal, Sylow
874C2×C73—41no—
875C2×C73—41no—
876C2×C73—81no—
877C2×C73—81no—
878C2×C73D4×#4111yescharacteristic
879C2×C73C2×#57511yescharacteristic
880C2×C73C2×#57611yescharacteristic
881D73—41no—
882D73—42no—
883D73—81no—
884D73—81no—
885D73—81no—
886#3483—731no—
887#3481—731no—
888#3399—731no—
889#3385—731no—
890#3375—731no—
891#3366—731no—
892#3357—731no—
893#3347—731no—
894#3347D7311yescharacteristic, complemented
895#3333—731no—
896#3325—731no—
897#3319—731no—
898#3319—731no—
899#3309—731no—
900#3309—731no—
901#3274—731no—
902#3268—731no—
903#3268—731no—
904#3171—731no—
905#3171—731no—
906#3169—731no—
907#3106—731no—
908#3106—731no—
909#3102—731no—
910#3102—731no—
911#3100—731no—
912#3100—731no—
913#2965—731no—
914C4×AGL(1,ℤ/8)—731no—
915C4×AGL(1,ℤ/8)—731no—
916C4×#135—731no—
917C73#6144911yescharacteristic, complemented, Sylow
918C2×AGL(1,ℤ/8)—731no—
919C2×AGL(1,ℤ/8)—731no—
920C2×#135—731no—
921#559—731no—
922Q82—731no—
923#555—731no—
924#555—731no—
925#555—1461no—
926#555—1461no—
927#555—1461no—
928#555C2×D7311yescharacteristic, complemented
929#554—731no—
930#554—731no—
931#553—731no—
932#553—1461no—
933#553C2×D7311yescharacteristic
934#551—1461no—
935#551—1461no—
936#550—731no—
937#550—731no—
938#550—731no—
939#550—731no—
940#550—1461no—
941#546—731no—
942#546—731no—
943#546—1461no—
944D42—731no—
945#532—731no—
946#532—731no—
947#532—731no—
948#532—731no—
949#532—1461no—
950#532—1461no—
951#532—1461no—
952#529—731no—
953#529—731no—
954#529—1461no—
955#525—1461no—
956#525—1461no—
957C4×#41—731no—
958C4×#41—731no—
959C4×#41—731no—
960C4×#41—731no—
961C4×#41—731no—
962C4×#41—1461no—
963C2×C4×D4—731no—
964C2×C4×D4—731no—
965C2×C4×D4—1461no—
966#501—731no—
967#501C2×D7311yescharacteristic, complemented
968#500—731no—
969#496—731no—
970#496—731no—
971#493—731no—
972#490—731no—
973#490—731no—
974#489—731no—
975#489—731no—
976#486—731no—
977#486—731no—
978#485—731no—
979#485—731no—
980#482—731no—
981#482—731no—
982#482—731no—
983#482C2×D7311yescharacteristic
984#482C2×D7311yescharacteristic, complemented
985#482C2×D7311yescharacteristic, complemented
986#480—731no—
987#480—731no—
988#480—731no—
989#480C2×D7311yescharacteristic, complemented
990#479—731no—
991#479—731no—
992#478—731no—
993#478C2×D7311yescharacteristic, complemented
994#477—731no—
995#477—731no—
996#476—731no—
997#476—731no—
998#474—731no—
999#474—731no—
1000#474—731no—
1001#474C2×D7311yescharacteristic, complemented
1002#469—731no—
1003#469—731no—
1004#469—731no—
1005#469C2×D7311yescharacteristic
1006#468—731no—
1007#468—731no—
1008#468—731no—
1009#468—731no—
1010#466—731no—
1011#466—731no—
1012#466—731no—
1013#466C2×D7311yescharacteristic, complemented
1014#464—731no—
1015#464—731no—
1016#463—731no—
1017#463—731no—
1018#460—731no—
1019#460—731no—
1020#459—731no—
1021#459—731no—
1022#459—731no—
1023#459—731no—
1024#459—731no—
1025#459—731no—
1026#452—731no—
1027#452—731no—
1028#449—731no—
1029#449—731no—
1030#449—731no—
1031#449—731no—
1032#449—731no—
1033#449—731no—
1034#447—731no—
1035#447—731no—
1036#447—731no—
1037#447—731no—
1038#446—731no—
1039#446—731no—
1040#442—731no—
1041#442—731no—
1042#442—731no—
1043#442C2×D7311yescharacteristic, complemented
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048C4×Q16—731no—
1049C4×Q16—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×SD16—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062C4×D8—731no—
1063C4×D8—731no—
1064C4×D8—731no—
1065C4×D8—731no—
1066C4×D8—731no—
1067C4×D8—731no—
1068#436—731no—
1069#436—731no—
1070#435—731no—
1071#435—731no—
1072#435—731no—
1073#435C2×D7311yescharacteristic, complemented
1074#431—731no—
1075#431—731no—
1076#431—731no—
1077#428—731no—
1078#428C2×D7311yescharacteristic, complemented
1079#427C2×D7311yescharacteristic, complemented
1080#418—731no—
1081#418—731no—
1082#417—731no—
1083#417—731no—
1084#416—731no—
1085#416—731no—
1086C4×M16—731no—
1087C4×M16—731no—
1088C2×C4×C8—731no—
1089C2×#41—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41—1461no—
1095C2×#41—1461no—
1096C2×#41—1461no—
1097C2×#41—1461no—
1098C2×#41—1461no—
1099C22×D4—731no—
1100C22×D4—731no—
1101C22×D4—1461no—
1102C23×C4—1461no—
1103C23×C4—1461no—
1104AGL(1,ℤ/8)—1464no—
1105AGL(1,ℤ/8)—1464no—
1106#135—1464no—
1107C2×Q16—731no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×D8—731no—
1115C2×D8—731no—
1116C2×D8—731no—
1117C2×D8—731no—
1118C2×D8—731no—
1119C2×D8—731no—
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8C22×D7311yescharacteristic
1123C2×M16—731no—
1124C2×M16—731no—
1125C2×M16—731no—
1126C2×M16C22×D7311yescharacteristic
1127C22×C8—731no—
1128C22×C8C22×D7311yescharacteristic
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—1461no—
1133C4⋊Q8—1461no—
1134C4⋊Q8—1461no—
1135C4⋊Q8C22×D7311yescharacteristic
1136#127—731no—
1137#127—731no—
1138#127—731no—
1139#127—731no—
1140#127—1461no—
1141#127—1461no—
1142#127—1461no—
1143#126—21no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#125—731no—
1148#125—1461no—
1149#125C22×D7311yescharacteristic
1150#124—21no—
1151#124—21no—
1152#124—731no—
1153#124—731no—
1154#124—1461no—
1155#124—1461no—
1156#124—1461no—
1157#124—1461no—
1158#124—1461no—
1159#124—1461no—
1160#124—1461no—
1161#124—1461no—
1162#124—1461no—
1163#123—21no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171C22⋊Q8—731no—
1172C22⋊Q8—731no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178#121—21no—
1179#121—21no—
1180#121—731no—
1181#121—731no—
1182#121—731no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121C22×D7311yescharacteristic
1206#121C22×D7311yescharacteristic
1207#121C22×D7311yescharacteristic
1208#121C22×D7311yescharacteristic
1209#120—1461no—
1210#120—1461no—
1211#120—1461no—
1212#120—1461no—
1213C4×Q8—731no—
1214C4×Q8—731no—
1215C4×Q8—731no—
1216C4×Q8—731no—
1217C4×Q8—731no—
1218C4×Q8—731no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—1461no—
1222C4×D4—21no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266C4×D4C22×D7311yescharacteristic
1267#117—21no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—731no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117C22×D7311yescharacteristic
1281#117C22×D7311yescharacteristic
1282#117C22×D7311yescharacteristic
1283C2×C4⋊C4—731no—
1284C2×C4⋊C4—1461no—
1285C2×C4⋊C4C22×D7311yescharacteristic
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C42—731no—
1291C2×C42—731no—
1292C2×C42—731no—
1293C2×C42—1461no—
1294C2×C42—1461no—
1295C2×C42—1461no—
1296C2×C42—1461no—
1297#107—731no—
1298#107—731no—
1299#107—731no—
1300#107—731no—
1301#107—731no—
1302#107C22×D7311yescharacteristic
1303#107C22×D7311yescharacteristic
1304#107C22×D7311yescharacteristic
1305#107C22×D7311yescharacteristic
1306#107C22×D7311yescharacteristic
1307#106—731no—
1308#106—731no—
1309#106C22×D7311yescharacteristic
1310#106C22×D7311yescharacteristic
1311#106C22×D7311yescharacteristic
1312#106C22×D7311yescharacteristic
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8C22×D7311yescharacteristic
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102C22×D7311yescharacteristic
1346#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350#102C22×D7311yescharacteristic
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8C22×D7311yescharacteristic
1356C22⋊C8C22×D7311yescharacteristic
1357#97—731no—
1358#97—731no—
1359#97—731no—
1360#97C22×D7311yescharacteristic
1361C4×C8—731no—
1362C4×C8—731no—
1363C4×C8—731no—
1364C4×C8—731no—
1365C4×C8—731no—
1366C4×C8—731no—
1367C24—1461no—
1368C24—1461no—
1369#41—2921no—
1370#41—2921no—
1371#41—2921no—
1372#41—2924no—
1373#41—2921no—
1374#41—2922no—
1375#41—5842no—
1376#41—5842no—
1377#41—5842no—
1378#41—5842no—
1379#41—1462no—
1380#41—1462no—
1381#41—1462no—
1382#41—1462no—
1383C2×Q8—21no—
1384C2×Q8—731no—
1385C2×Q8—731no—
1386C2×Q8—731no—
1387C2×Q8—1461no—
1388C2×Q8—1461no—
1389C2×Q8—1461no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—2921no—
1395C2×D4—2924no—
1396C2×D4—2921no—
1397C2×D4—731no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—1461no—
1404C2×D4—1462no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1462no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4D4×D7311yescharacteristic
1426C2×D4C23×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—5842no—
1432C22×C4—5842no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—731no—
1438C22×C4—731no—
1439C22×C4—731no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4C23×D7311yescharacteristic
1458C22×C4C23×D7311yescharacteristic
1459Q16—1462no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—734no—
1463SD16—1462no—
1464SD16—1462no—
1465SD16—1462no—
1466D8—22no—
1467D8—2921no—
1468D8—2921no—
1469D8—2921no—
1470D8—2921no—
1471D8—1462no—
1472D8—1462no—
1473D8—1462no—
1474D8—1462no—
1475M16—22no—
1476M16—2921no—
1477M16—2921no—
1478M16—1462no—
1479C2×C8—22no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4D4×D7311yescharacteristic
1515C4⋊C4C23×D7311yescharacteristic
1516C4⋊C4C23×D7311yescharacteristic
1517C4⋊C4C23×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C4⋊C4C23×D7311yescharacteristic
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—731no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
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⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4D4×D7311yescharacteristic
1560C22⋊C4D4×D7311yescharacteristic
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—731no—
1565C42—731no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—731no—
1571C42—731no—
1572C42—731no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42C23×D7311yescharacteristic
1581C23—21no—
1582C23—21no—
1583C23—2922no—
1584C23—2922no—
1585C23—2922no—
1586C23—2922no—
1587C23—5841no—
1588C23—5841no—
1589C23—731no—
1590C23—1461no—
1591C23—1461no—
1592C23—1461no—
1593C23—1461no—
1594C23C2×D4×D7311yescharacteristic
1595C23C2×D4×D7311yescharacteristic
1596Q8—81no—
1597Q8—5841no—
1598Q8—5841no—
1599Q8—5841no—
1600Q8—732no—
1601Q8—1462no—
1602Q8—1461no—
1603Q8—1461no—
1604Q8—1461no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—41no—
1610D4—42no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—2922no—
1615D4—2922no—
1616D4—2922no—
1617D4—2922no—
1618D4—2922no—
1619D4—2922no—
1620D4—2922no—
1621D4—2922no—
1622D4—2921no—
1623D4—2922no—
1624D4—2922no—
1625D4—2922no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—5841no—
1633D4—5841no—
1634D4—5841no—
1635D4—732no—
1636D4—1462no—
1637D4—1461no—
1638D4—1461no—
1639D4—1461no—
1640D4—1461no—
1641D4—1461no—
1642D4—1461no—
1643D4—1461no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—42no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—2922no—
1660C2×C4—2921no—
1661C2×C4—2922no—
1662C2×C4—2922no—
1663C2×C4—2922no—
1664C2×C4—2922no—
1665C2×C4—2922no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—2921no—
1671C2×C4—2922no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—731no—
1677C2×C4—731no—
1678C2×C4—731no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—1462no—
1684C2×C4—1461no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1462no—
1688C2×C4—1462no—
1689C2×C4—1462no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4C2×D4×D7311yescharacteristic
1694C2×C4C2×D4×D7311yescharacteristic
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C24×D7311yescharacteristic
1698C8—21no—
1699C8—21no—
1700C8—21no—
1701C8—1461no—
1702C8—1461no—
1703C8—1461no—
1704C8—1461no—
1705C8#41×D7312yes—
1706C22—21no—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—2921no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—5844no—
1730C22—5844no—
1731C22—1461no—
1732C22—1461no—
1733C22—1462no—
1734C22—1461no—
1735C22C22×D4×D7311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—2921no—
1747C4—2921no—
1748C4—2921no—
1749C4—732no—
1750C4—732no—
1751C4—1461no—
1752C4—1461no—
1753C4—1461no—
1754C4—1461no—
1755C4—1462no—
1756C4—1461no—
1757C4C2×#41×D7311yescharacteristic
1758C4#1798942411yescharacteristic
1759C2—41no—
1760C2—41no—
1761C2—81no—
1762C2—81no—
1763C2—2922no—
1764C2—2921no—
1765C2—5841no—
1766C2—5841no—
1767C2—5841no—
1768C2#2262341811yescharacteristic
1769C2#575×D7311yescharacteristic
1770C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3347C2
socleC22×C73C23×D4
hypercenter#3347D73
hypocenterC73#61449
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #22623556C2semidirect
2. #22623538C2semidirect
3. #22622974C2semidirect
4. #22622838C2semidirect
5. #22622748C2semidirect
6. #22622641C2semidirect
7. #22622553C2semidirect
8. #22622427C2semidirect
9. #22622267C2semidirect
10. #22622171C2semidirect
11. #22622085C2semidirect
12. #22622081C2semidirect
13. #22621935C2semidirect
14. #22621931C2semidirect
15. #22621548C2semidirect
16. #22621476C2semidirect
17. #22621468C2semidirect
18. #22620528C2semidirect
19. #22620521C2semidirect
20. #22620505C2semidirect
21. #22619986C2semidirect
22. #22619986C2semidirect
23. #22619954C2semidirect
24. #22619944C2semidirect
25. #22619933C2semidirect
26. #22619928C2semidirect
27. #22618891C2semidirect
28. #22618742C2semidirect
29. #22618738C2semidirect
30. #22618702C2semidirect
31. C73×#3347C2semidirect
36. #17989317C22semidirect
39. #17989300C22semidirect
48. #17989258C22semidirect
49. #17989258C22semidirect
52. #17989255C22semidirect
57. #17989138C22semidirect
62. #17989132C22semidirect
63. #17989132C22semidirect
71. #17989055C22semidirect
72. #17989055C22semidirect
74. C4×#11924027C22semidirect
78. #17988994C22semidirect
79. #17988991C22semidirect
80. #17988976C22semidirect
81. #17988975C22semidirect
83. #17988953C22semidirect
84. #17988950C22semidirect
85. #17988949C22semidirect
86. #17988945C22semidirect
88. #17988932C22semidirect
89. #17988931C22semidirect
90. #17988928C22semidirect
92. #17988911C22semidirect
93. #17988911C22semidirect
94. #17988902C22semidirect
95. #17988902C22semidirect
96. #17988900C22semidirect
97. #17988897C22semidirect
98. #17988891C22semidirect
99. #17988890C22semidirect
100. #17988881C22semidirect
101. #17988881C22semidirect
103. #17988876C22semidirect
105. #17988866C22semidirect
110. #17988834C22semidirect
111. #17988834C22semidirect
112. #17988833C22semidirect
113. #17988831C22semidirect
114. #17988823C22semidirect
115. #17988821C22semidirect
116. #17988821C22semidirect
117. #17988810C22semidirect
118. #17988808C22semidirect
119. #17988802C22semidirect
120. #17988801C22semidirect
122. #17988786C22semidirect
124. #17988782C22semidirect
128. #17988781C22semidirect
129. #17988751C22semidirect
130. #17988750C22semidirect
132. #17988734C22semidirect
136. #17988730C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
144. #17988698C22semidirect
147. #17988687C22semidirect
149. #17988686C22semidirect
150. #17988681C22semidirect
151. #17988681C22semidirect
152. #17988678C22semidirect
153. #17988678C22semidirect
156. #17988674C22semidirect
157. #17988674C22semidirect
158. #17988674C22semidirect
159. #17988674C22semidirect
160. D8×Dic73C22semidirect
164. #17988669C22semidirect
165. #17988669C22semidirect
167. #17988667C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
172. #17988659C22semidirect
173. #17988658C22semidirect
174. #17988655C22semidirect
175. #17988639C22semidirect
176. #17988637C22semidirect
177. #17988637C22semidirect
178. #17988626C22semidirect
181. #17988586C22semidirect
182. #17988585C22semidirect
184. #17988581C22semidirect
185. #17988539C22semidirect
186. M16×Dic73C22semidirect
187. C2×C8×Dic73C22semidirect
188. #555×C73C22semidirect
190. #501×C73C22semidirect
192. #482×C73C22semidirect
193. #482×C73C22semidirect
194. #480×C73C22semidirect
195. #478×C73C22semidirect
196. #474×C73C22semidirect
198. #466×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. #427×C73C22semidirect
564. #11924017#41semidirect
894. #3347D73semidirect
917. C73#61449semidirect
928. #555C2×D73semidirect
967. #501C2×D73semidirect
984. #482C2×D73semidirect
985. #482C2×D73semidirect
989. #480C2×D73semidirect
993. #478C2×D73semidirect
1001. #474C2×D73semidirect
1013. #466C2×D73semidirect
1043. #442C2×D73semidirect
1073. #435C2×D73semidirect
1078. #428C2×D73semidirect
1079. #427C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235562
#226235382
#226229742
#226228382
#226227482
#226226412
#226225532
#226224272
#226222672
#226221712
#226220852
#226220812
#226219352
#226219312
#226215482
#226214762
#226214682
#226205282
#226205212
#226205052
#226199862
#226199542
#226199442
#226199332
#226199282
#226188912
#226187422
#226187382
#226187022
C73×#33472
#6144973