Finite Group Databasebeta

← #33971793

Subgroups — #33971793

Order 18688.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624179C211yesmaximal, characteristic, complemented
2#22623601C211yesmaximal, characteristic
3#22622152C211yesmaximal, characteristic, complemented
4#22622144C211yesmaximal, characteristic, complemented
5#22622062C211yesmaximal, characteristic, complemented
6#22622054C211yesmaximal, characteristic, complemented
7#22621957C211yesmaximal, characteristic, complemented
8#22621949C211yesmaximal, characteristic, complemented
9#22621823C211yesmaximal, characteristic, complemented
10#22621815C211yesmaximal, characteristic, complemented
11#22621630C211yesmaximal, characteristic, complemented
12SD16×D292C211yesmaximal, characteristic, complemented
13#22621598C211yesmaximal, characteristic, complemented
14#22621592C211yesmaximal, characteristic, complemented
15#22621507C211yesmaximal, characteristic, complemented
16#22621503C211yesmaximal, characteristic, complemented
17#22621447C211yesmaximal, characteristic, complemented
18#22621443C211yesmaximal, characteristic, complemented
19#22621005C211yesmaximal, characteristic, complemented
20#22620997C211yesmaximal, characteristic, complemented
21#22620820C211yesmaximal, characteristic, complemented
22#22620818C211yesmaximal, characteristic, complemented
23#22620736C211yesmaximal, characteristic, complemented
24#22620687C211yesmaximal, characteristic, complemented
25#22620145C211yesmaximal, characteristic, complemented
26#22619205C211yesmaximal, characteristic, complemented
27#22619205C211yesmaximal, characteristic, complemented
28#22619188C211yesmaximal, characteristic, complemented
29#452×D73C211yesmaximal, characteristic, complemented
30#22618977C211yesmaximal, characteristic, complemented
31C73×#3120C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×#14556623C2211yescharacteristic, complemented
37C2×#14556620C2211yescharacteristic, complemented
38C2×Q16×D73C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40C2×SD16×D73C2211yescharacteristic, complemented
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989339—21no—
43#17989339—21no—
44#17989278C2211yescharacteristic, complemented
45#17989278C2211yescharacteristic, complemented
46#17989275C2211yescharacteristic, complemented
47#17989275C2211yescharacteristic, complemented
48#17989262—21no—
49#17989262—21no—
50#17989259C2211yescharacteristic
51#17989259C2211yescharacteristic
52Q8×D292C2211yescharacteristic, complemented
53Q8×D292C2211yescharacteristic, complemented
54#17989252C2211yescharacteristic, complemented
55#17989252C2211yescharacteristic, complemented
56#17989249C2211yescharacteristic
57#17989249C2211yescharacteristic
58#17989232—21no—
59#17989232—21no—
60#17989232C2211yescharacteristic
61#17989232C2211yescharacteristic
62D4×D292—21no—
63D4×D292—21no—
64D4×D292C2211yescharacteristic
65D4×D292C2211yescharacteristic
66#17989217—21no—
67#17989217—21no—
68#17989199C2211yescharacteristic, complemented
69#17989185—21no—
70#17989185—21no—
71#17989168—21no—
72#17989168C2211yescharacteristic
73#17989160C2211yescharacteristic, complemented
74#17989160C2211yescharacteristic, complemented
75#17989156—21no—
76#17989156C2211yescharacteristic
77#17989099—21no—
78#17989099C2211yescharacteristic
79C22⋊Q8×D73C2211yescharacteristic, complemented
80C22⋊Q8×D73C2211yescharacteristic, complemented
81C2×#14556566—21no—
82C2×#14556566C2211yescharacteristic
83#17988981C2211yescharacteristic, complemented
84#17988979C2211yescharacteristic, complemented
85#17988961C2211yescharacteristic, complemented
86#17988960C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic, complemented
88#17988952C2211yescharacteristic, complemented
89#17988944C2211yescharacteristic, complemented
90#17988942C2211yescharacteristic, complemented
91#17988931C2211yescharacteristic, complemented
92#17988930C2211yescharacteristic, complemented
93#17988922C2211yescharacteristic, complemented
94#17988917C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988902C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic, complemented
103#17988846C2211yescharacteristic, complemented
104#17988844C2211yescharacteristic, complemented
105#17988836C2211yescharacteristic, complemented
106#17988836C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988834C2211yescharacteristic, complemented
111#17988829C2211yescharacteristic, complemented
112#17988827C2211yescharacteristic, complemented
113#17988819C2211yescharacteristic, complemented
114#17988819C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988817C2211yescharacteristic, complemented
118#17988817C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988809C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic, complemented
123#17988797C2211yescharacteristic, complemented
124#17988792C2211yescharacteristic, complemented
125#17988788C2211yescharacteristic, complemented
126#17988788C2211yescharacteristic, complemented
127#17988787C2211yescharacteristic, complemented
128#17988787C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988752C2211yescharacteristic, complemented
131#17988752C2211yescharacteristic, complemented
132#17988751C2211yescharacteristic, complemented
133#17988751C2211yescharacteristic, complemented
134#17988750C2211yescharacteristic, complemented
135#17988749C2211yescharacteristic
136#17988749C2211yescharacteristic
137#17988748C2211yescharacteristic, complemented
138#17988748C2211yescharacteristic, complemented
139#17988748C2211yescharacteristic, complemented
140#17988747C2211yescharacteristic, complemented
141#17988747C2211yescharacteristic, complemented
142#17988746C2211yescharacteristic, complemented
143#17988744C2211yescharacteristic, complemented
144#17988744C2211yescharacteristic, complemented
145#17988744C2211yescharacteristic, complemented
146#17988741C2211yescharacteristic, complemented
147#17988740C2211yescharacteristic, complemented
148#17988740C2211yescharacteristic, complemented
149#17988739C2211yescharacteristic, complemented
150#17988739C2211yescharacteristic, complemented
151#17988739C2211yescharacteristic, complemented
152#17988737C2211yescharacteristic, complemented
153#17988737C2211yescharacteristic, complemented
154#17988736C2211yescharacteristic, complemented
155#17988736C2211yescharacteristic, complemented
156#17988736C2211yescharacteristic, complemented
157#17988727C2211yescharacteristic, complemented
158#17988727C2211yescharacteristic, complemented
159#17988727C2211yescharacteristic, complemented
160#17988727C2211yescharacteristic, complemented
161#17988727C2211yescharacteristic, complemented
162#17988727C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165C4×#11924018C2211yescharacteristic, complemented
166C4×#11924016C2211yescharacteristic, complemented
167#17988666C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173C8×D292C2211yescharacteristic, complemented
174#17988652C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988587C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#541×C73C2211yescharacteristic, complemented
189#520×C73C2211yescharacteristic
190#484×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#462×C73C2211yescharacteristic, complemented
195#461×C73C2211yescharacteristic, complemented
196#452×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×Q16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924027—21no—
213C2×#11924027C2311yescharacteristic
214#41×D73—42no—
215#41×D73—42no—
216C2×Q8×D73C2311yescharacteristic
217C2×Q8×D73C2311yescharacteristic
218C2×Q8×D73C2311yescharacteristic
219C2×Q8×D73C2311yescharacteristic
220C2×Q8×D73C2311yescharacteristic
221C22×D292—21no—
222C22×D292—21no—
223C22×D292—21no—
224C22×D292—21no—
225C22×D292C2311yescharacteristic
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C22×C4×D73—21no—
233C22×C4×D73C2311yescharacteristic
234#14556623—42no—
235#14556623—42no—
236#14556623—42no—
237#14556620—42no—
238C2×Dic292C2311yescharacteristic
239C2×Dic292C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924018C2311yescharacteristic
244Q16×D73—42no—
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924017C2311yescharacteristic
250C2×#11924017C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257C2×#11924015C2311yescharacteristic
258C2×#11924015C2311yescharacteristic
259SD16×D73—42no—
260SD16×D73—42no—
261SD16×D73—42no—
262C2×#11924011C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C2×#11924011C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269C2×C8×D73C2311yescharacteristic
270#14556591—21no—
271#14556591—21no—
272#14556591C2311yescharacteristic
273#14556590—21no—
274#14556590—21no—
275#14556590—21no—
276#14556590—21no—
277#14556588—21no—
278#14556588—21no—
279#14556588C2311yescharacteristic
280#14556588C2311yescharacteristic
281#14556586—21no—
282#14556586—21no—
283#14556585—21no—
284#14556585—21no—
285#14556584—21no—
286#14556584—21no—
287#14556583C2311yescharacteristic
288#14556582—21no—
289#14556582—21no—
290#14556581—21no—
291#14556581—21no—
292#14556581—21no—
293#14556581—21no—
294#14556579—21no—
295#14556579—21no—
296#14556579C2311yescharacteristic
297#14556579C2311yescharacteristic
298#14556577—21no—
299#14556577—21no—
300#14556576—21no—
301#14556576—21no—
302#14556576—21no—
303#14556576—21no—
304#14556576—21no—
305#14556576—21no—
306#14556575—21no—
307#14556575—21no—
308#14556575D411yescharacteristic
309#14556575D411yescharacteristic
310#14556573—21no—
311#14556573—21no—
312#14556571—21no—
313#14556571—21no—
314#14556571—21no—
315#14556571—21no—
316#14556571—21no—
317#14556571—21no—
318#14556571—21no—
319#14556571D411yescharacteristic
320#14556571D411yescharacteristic
321#14556571C2311yescharacteristic
322#14556571C2311yescharacteristic
323#14556571C2311yescharacteristic
324#14556571C2311yescharacteristic
325#14556571C2311yescharacteristic
326#14556571C2311yescharacteristic
327#14556570C2311yescharacteristic
328#14556570C2311yescharacteristic
329#14556569—21no—
330#14556569—21no—
331#14556569—21no—
332#14556569—21no—
333#14556569—21no—
334#14556569—21no—
335#14556568—21no—
336#14556568—21no—
337#14556567C2311yescharacteristic
338#14556567C2311yescharacteristic
339#14556567C2311yescharacteristic
340#14556567C2311yescharacteristic
341#14556566—21no—
342#14556566—21no—
343#14556566—21no—
344#14556566—21no—
345#14556566—21no—
346#14556566—21no—
347#14556566—21no—
348#14556566—21no—
349#14556566—21no—
350#14556566—21no—
351#14556566—21no—
352#14556566D411yescharacteristic
353#14556566D411yescharacteristic
354#14556566C2311yescharacteristic
355#14556566C2311yescharacteristic
356#14556566C2311yescharacteristic
357#14556566C2311yescharacteristic
358#14556566C2311yescharacteristic
359#14556566C2311yescharacteristic
360#14556565—21no—
361#14556565—21no—
362#14556565—21no—
363#14556565—21no—
364#14556565—21no—
365#14556565—21no—
366#14556561—21no—
367#14556561—21no—
368#14556561—21no—
369#14556561—21no—
370#14556561—21no—
371#14556561—21no—
372#14556561—21no—
373#14556561—21no—
374#14556561D411yescharacteristic
375#14556561D411yescharacteristic
376C4×Dic146C2311yescharacteristic
377C4×Dic146C2311yescharacteristic
378C4×D292—21no—
379C4×D292—21no—
380C4×D292—21no—
381C4×D292—21no—
382C4×D292—21no—
383C4×D292—21no—
384C4×D292C2311yescharacteristic
385C4×D292C2311yescharacteristic
386C4×D292C2311yescharacteristic
387C4×D292C2311yescharacteristic
388#14556553—21no—
389#14556553—21no—
390#14556549—21no—
391#14556549—21no—
392#14556549C2311yescharacteristic
393#14556549C2311yescharacteristic
394#14556548—21no—
395#14556548—21no—
396C4⋊C4×D73—21no—
397C4⋊C4×D73—21no—
398C4⋊C4×D73C2311yescharacteristic
399C4⋊C4×D73C2311yescharacteristic
400C2×#11924005—21no—
401C2×#11924005—21no—
402C2×#11924005—21no—
403C22⋊C4×D73—21no—
404C22⋊C4×D73—21no—
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410C4⋊#10596831C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556503C2311yescharacteristic
445#14556502C2311yescharacteristic
446C4×#10596831C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×Q16×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C4⋊Q8×C73C2311yescharacteristic
453#126×C73—21no—
454#126×C73—21no—
455#125×C73—21no—
456#125×C73—21no—
457#125×C73C2311yescharacteristic
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×Q8×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×D4×C73—21no—
465C4×D4×C73—21no—
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#117×C73—21no—
469#117×C73C2311yescharacteristic
470C2×C4⋊C4×C73—21no—
471C2×C4⋊C4×C73C2311yescharacteristic
472#107×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#106×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73C2×D411yescharacteristic
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—41no—
499#11924029—41no—
500#11924029—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—44no—
506#11924028—44no—
507#11924027—22no—
508#11924027—41no—
509#11924027—44no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146C2×D411yescharacteristic
516C2×Dic146C2411yescharacteristic
517C2×Dic146C2411yescharacteristic
518C2×Dic146C2411yescharacteristic
519Q8×D73—22no—
520Q8×D73—41no—
521Q8×D73—41no—
522Q8×D73—41no—
523Q8×D73—41no—
524Q8×D73—41no—
525Q8×D73—41no—
526Q8×D73—41no—
527Q8×D73—41no—
528Q8×D73—41no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292—21no—
537C2×D292—21no—
538C2×D292—21no—
539C2×D292—21no—
540C2×D292—21no—
541C2×D292—21no—
542C2×D292—21no—
543C2×D292—41no—
544C2×D292—41no—
545C2×D292—44no—
546C2×D292—82no—
547C2×D292—82no—
548C2×D292—82no—
549C2×D292C2×D411yescharacteristic
550C2×D292C2×D411yescharacteristic
551C2×D292C2×D411yescharacteristic
552C2×D292C2×D411yescharacteristic
553C2×D292C2×D411yescharacteristic
554C2×D292C2411yescharacteristic
555C2×D292C2411yescharacteristic
556C2×D292C2411yescharacteristic
557C2×C22⋊D73—21no—
558C2×C22⋊D73—21no—
559C2×C22⋊D73—21no—
560C2×C22⋊D73—21no—
561C2×C22⋊D73—21no—
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564D4×D73—22no—
565D4×D73—22no—
566D4×D73—22no—
567D4×D73—41no—
568D4×D73—41no—
569D4×D73—41no—
570D4×D73—44no—
571D4×D73—44no—
572D4×D73—44no—
573C22×Dic73—21no—
574C22×Dic73C2×D411yescharacteristic
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—41no—
587C2×C4×D73—41no—
588C2×C4×D73—44no—
589C2×C4×D73C2×D411yescharacteristic
590C2×C4×D73C2×D411yescharacteristic
591C2×C4×D73C2411yescharacteristic
592C2×C4×D73C2411yescharacteristic
593C2×C4×D73C2411yescharacteristic
594C2×C4×D73C2411yescharacteristic
595Dic292—41no—
596Dic292—41no—
597#11924018—22no—
598#11924018—22no—
599#11924018—41no—
600#11924018—41no—
601#11924017—41no—
602#11924017—41no—
603#11924017—41no—
604#11924017—41no—
605#11924017—41no—
606#11924017—41no—
607#11924016—22no—
608#11924016—22no—
609#11924015—41no—
610#11924015—41no—
611#11924015—41no—
612#11924015—41no—
613#11924015—41no—
614#11924015—41no—
615#11924011—41no—
616#11924011—41no—
617#11924011—41no—
618#11924011—41no—
619C2×#10596831C2411yescharacteristic
620C2×#10596831C2411yescharacteristic
621C2×#10596831C2411yescharacteristic
622C2×#10596831C2411yescharacteristic
623C8×D73—41no—
624C8×D73—41no—
625C8×D73—41no—
626C8×D73—41no—
627C4⋊Dic73—21no—
628C4⋊Dic73—21no—
629C4⋊Dic73—21no—
630C4⋊Dic73—21no—
631C4⋊Dic73—21no—
632C4⋊Dic73—21no—
633C4⋊Dic73—21no—
634C4⋊Dic73—21no—
635C4⋊Dic73C2×D411yescharacteristic
636C4⋊Dic73C2×D411yescharacteristic
637C4⋊Dic73C2×D411yescharacteristic
638C4⋊Dic73C2×D411yescharacteristic
639C4⋊Dic73C2411yescharacteristic
640C4⋊Dic73C2411yescharacteristic
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649#11924007—21no—
650#11924007—21no—
651#11924007—21no—
652#11924007—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680#11924005C2×D411yescharacteristic
681#11924005C2×D411yescharacteristic
682#11924005C2×D411yescharacteristic
683#11924005C2×D411yescharacteristic
684#11924005C2×D411yescharacteristic
685C4×Dic73—21no—
686C4×Dic73—21no—
687C4×Dic73—21no—
688C4×Dic73—21no—
689#41×C73—22no—
690#41×C73—22no—
691C2×Q8×C73C2411yescharacteristic
692C2×Q8×C73C2411yescharacteristic
693C2×Q8×C73C2411yescharacteristic
694C2×D4×C73—21no—
695C2×D4×C73C2411yescharacteristic
696C22×C4×C73—21no—
697C22×C4×C73—21no—
698C22×C4×C73—21no—
699C22×C4×C73—21no—
700C22×C4×C73C2411yescharacteristic
701Q16×C73—22no—
702Q16×C73—22no—
703SD16×C73—22no—
704SD16×C73—22no—
705C2×C8×C73C2411yescharacteristic
706C2×C8×C73C2411yescharacteristic
707C2×C8×C73C2411yescharacteristic
708C2×C8×C73C2411yescharacteristic
709C4⋊C4×C73—21no—
710C4⋊C4×C73—21no—
711C4⋊C4×C73—21no—
712C4⋊C4×C73—21no—
713C4⋊C4×C73—21no—
714C4⋊C4×C73—21no—
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73C2×D411yescharacteristic
721C4⋊C4×C73C2×D411yescharacteristic
722C4⋊C4×C73C2411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73C2×D411yescharacteristic
731C22⋊C4×C73C2×D411yescharacteristic
732C42×C73—21no—
733C42×C73—21no—
734C42×C73—21no—
735C42×C73—21no—
736C42×C73C2411yescharacteristic
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73C22×D411yescharacteristic
740C22×D73—22no—
741C22×D73—21no—
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—41no—
745C22×D73—41no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73C22×D411yescharacteristic
759C22×D73C22×D411yescharacteristic
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762Q8×C73—21no—
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73H(5,𝔽2)12yes—
768D4×C73—24no—
769D4×C73—21no—
770D4×C73H(5,𝔽2)12yes—
771C2×C4×C73—24no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—81no—
782C2×C4×C73—81no—
783C2×C4×C73—81no—
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C22×D411yescharacteristic
789C2×C4×C73C2511yescharacteristic
790C22⋊D73—41no—
791C22⋊D73—41no—
792C22⋊D73—42no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—21no—
800C2×Dic73—21no—
801C2×Dic73—21no—
802C2×Dic73—41no—
803C2×Dic73—42no—
804C2×Dic73C22×D411yescharacteristic
805C2×Dic73C22×D411yescharacteristic
806C2×Dic73C22×D411yescharacteristic
807C2×Dic73C22×D411yescharacteristic
808D292—22no—
809D292—22no—
810D292—21no—
811D292—21no—
812D292—21no—
813D292—21no—
814D292—21no—
815D292—21no—
816D292—41no—
817D292—41no—
818D292—41no—
819D292—42no—
820D292—42no—
821D292—42no—
822D292—42no—
823D292—42no—
824D292—42no—
825D292—81no—
826D292—81no—
827D292—81no—
828D292—81no—
829D292—81no—
830D292—81no—
831D292—81no—
832D292—81no—
833C4×D73—21no—
834C4×D73—21no—
835C4×D73—21no—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—41no—
842C4×D73—41no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—81no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73—81no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—21no—
859Dic146—21no—
860Dic146—41no—
861Dic146—42no—
862Dic146—81no—
863Dic146—81no—
864Dic146—81no—
865Dic146—81no—
866C8×C73—21no—
867C8×C73—21no—
868C8×C73—21no—
869C8×C73—21no—
870#10596831—21no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—22no—
877C22×C73—21no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73C23×D411yescharacteristic
881C2×D73—21no—
882C2×D73—21no—
883C2×D73—21no—
884C2×D73—21no—
885C2×D73—21no—
886C2×D73—21no—
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—41no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—82no—
902C2×D73—84no—
903C2×D73—162no—
904C2×D73—162no—
905C2×D73—162no—
906C2×D73#57712yes—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—21no—
910C4×C73—22no—
911C4×C73—21no—
912C4×C73—21no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73—41no—
916C4×C73—41no—
917C4×C73—41no—
918C4×C73—41no—
919C4×C73C2×H(5,𝔽2)11yescharacteristic
920C4×C73C2×H(5,𝔽2)11yescharacteristic
921Dic73—21no—
922Dic73—21no—
923Dic73—21no—
924Dic73—21no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928Dic73—41no—
929Dic73—41no—
930#61618—731nomaximal, Sylow
931C2×C73—41no—
932C2×C73—42no—
933C2×C73#348411yescharacteristic
934C2×C73C2×#57711yescharacteristic
935C2×C73#358611yescharacteristic
936D73—22no—
937D73—41no—
938D73—41no—
939D73—41no—
940D73—81no—
941D73—81no—
942D73—81no—
943#3538—731no—
944#3488—731no—
945#3323—731no—
946#3323—731no—
947#3317—731no—
948#3317—731no—
949#3310—731no—
950#3310—731no—
951#3300—731no—
952#3300—731no—
953D4×SD16—731no—
954D4×SD16—731no—
955#3278—731no—
956#3278—731no—
957#3270—731no—
958#3270—731no—
959#3266—731no—
960#3266—731no—
961#3222—731no—
962#3222—731no—
963#3201—731no—
964#3201—731no—
965#3193—731no—
966#3187—731no—
967#3120—731no—
968#3120D7311yescharacteristic, complemented
969#3009—731no—
970#3009—731no—
971#3007—731no—
972C2×#452—731no—
973#2976—731no—
974C73#6161811yescharacteristic, complemented, Sylow
975C2×H(5,𝔽2)—731no—
976C22×#41—731no—
977C2×#137—731no—
978C2×#137—731no—
979C2×#137—731no—
980C2×#137—731no—
981C22×Q16—731no—
982C22×SD16—731no—
983C22×SD16—731no—
984C22×SD16—731no—
985#563—1461no—
986#563—1461no—
987#552—731no—
988#552—731no—
989#552—731no—
990#552—731no—
991#551—1461no—
992#551—1461no—
993#550—731no—
994#550—731no—
995D4×Q8—731no—
996D4×Q8—731no—
997D4×Q8—731no—
998D4×Q8—731no—
999#548—731no—
1000#548—731no—
1001#546—731no—
1002#546—731no—
1003#546—1461no—
1004#546—1461no—
1005D42—731no—
1006D42—731no—
1007D42—1461no—
1008D42—1461no—
1009#544—1461no—
1010#544—1461no—
1011#541—731no—
1012#541C2×D7311yescharacteristic, complemented
1013#539—1461no—
1014#539—1461no—
1015#537—731no—
1016#537—1461no—
1017#536—731no—
1018#536—731no—
1019#535—731no—
1020#535—1461no—
1021#525—731no—
1022#525—1461no—
1023C2×C22⋊Q8—731no—
1024C2×C22⋊Q8—731no—
1025C2×#121—731no—
1026C2×#121—1461no—
1027#520C2×D7311yescharacteristic
1028#497—731no—
1029#497—731no—
1030#492—731no—
1031#492—731no—
1032#490—731no—
1033#490—731no—
1034#488—731no—
1035#488—731no—
1036#485—731no—
1037#485—731no—
1038#484—731no—
1039#484C2×D7311yescharacteristic, complemented
1040#483—731no—
1041#483C2×D7311yescharacteristic, complemented
1042#482—731no—
1043#482—731no—
1044#481—731no—
1045#481—731no—
1046#480—731no—
1047#480—731no—
1048#479—731no—
1049#479C2×D7311yescharacteristic, complemented
1050#478—731no—
1051#478C2×D7311yescharacteristic, complemented
1052#470—731no—
1053#470—731no—
1054#468—731no—
1055#468—731no—
1056#468—731no—
1057#468—731no—
1058#468—731no—
1059#468—731no—
1060#467—731no—
1061#467—731no—
1062#465—731no—
1063#465—731no—
1064#465—731no—
1065#465—731no—
1066#465—731no—
1067#465—731no—
1068#464—731no—
1069#464—731no—
1070#464—731no—
1071#464—731no—
1072#462—731no—
1073#462C2×D7311yescharacteristic, complemented
1074#461—731no—
1075#461C2×D7311yescharacteristic, complemented
1076#460—731no—
1077#460—731no—
1078#460—731no—
1079#460—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452—731no—
1086#452—731no—
1087#452—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452C2×D7311yescharacteristic
1095#452C2×D7311yescharacteristic
1096#451—731no—
1097#451—731no—
1098#451—731no—
1099#451—731no—
1100#450—731no—
1101#450—731no—
1102#450—731no—
1103#450—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#448—731no—
1111#448—731no—
1112#448—731no—
1113#448—731no—
1114#448—731no—
1115#448—731no—
1116#441—731no—
1117#441C2×D7311yescharacteristic, complemented
1118#440—731no—
1119#440C2×D7311yescharacteristic, complemented
1120C4×Q16—731no—
1121C4×Q16C2×D7311yescharacteristic, complemented
1122C4×SD16—731no—
1123C4×SD16C2×D7311yescharacteristic, complemented
1124#436—731no—
1125#436—731no—
1126#435—731no—
1127#435—731no—
1128#435—731no—
1129#435—731no—
1130C8×D4—731no—
1131C8×D4—731no—
1132#433—731no—
1133#433C2×D7311yescharacteristic, complemented
1134#418—731no—
1135#418—731no—
1136#417—731no—
1137#417—731no—
1138#416—731no—
1139#416—731no—
1140C2×#103—731no—
1141C2×#102—731no—
1142#408—731no—
1143#408—731no—
1144#407—731no—
1145C2×C22⋊C8—731no—
1146H(5,𝔽2)—2922no—
1147H(5,𝔽2)—2922no—
1148C2×#41—2922no—
1149C2×#41—2922no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—731no—
1156C2×#41—1461no—
1157C2×#41—1461no—
1158C2×#41—1461no—
1159C2×#41C22×D7311yescharacteristic
1160C22×Q8—731no—
1161C22×Q8—731no—
1162C22×Q8—731no—
1163C22×Q8—731no—
1164C22×Q8—731no—
1165C22×D4—731no—
1166C22×D4—731no—
1167C22×D4—731no—
1168C22×D4—731no—
1169C22×D4—1461no—
1170C22×D4—1461no—
1171C22×D4—1461no—
1172C22×D4—1461no—
1173C22×D4—1461no—
1174C22×D4—1461no—
1175C22×D4—1461no—
1176C23×C4—731no—
1177C23×C4—1461no—
1178#137—2922no—
1179#137—2922no—
1180#137—2922no—
1181#137—2922no—
1182C2×Q16—2922no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×Q16—731no—
1187C2×Q16—731no—
1188C2×Q16—731no—
1189C2×Q16C22×D7311yescharacteristic
1190C2×Q16C22×D7311yescharacteristic
1191C2×SD16—2922no—
1192C2×SD16—2922no—
1193C2×SD16—2922no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16—731no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16C22×D7311yescharacteristic
1209C2×SD16C22×D7311yescharacteristic
1210C2×M16—731no—
1211C2×M16—731no—
1212C2×M16—731no—
1213C2×M16—731no—
1214C22×C8—731no—
1215C22×C8—731no—
1216C22×C8—731no—
1217C22×C8—731no—
1218C4⋊Q8—731no—
1219C4⋊Q8—1461no—
1220C4⋊Q8—1461no—
1221C4⋊Q8—1461no—
1222C4⋊Q8—1461no—
1223C4⋊Q8—1461no—
1224C4⋊Q8—1461no—
1225C4⋊Q8C22×D7311yescharacteristic
1226#127—731no—
1227#127—731no—
1228#127—1461no—
1229#127—1461no—
1230#126—21no—
1231#126—21no—
1232#126—1461no—
1233#126—1461no—
1234#126—1461no—
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#125—21no—
1239#125—21no—
1240#125—731no—
1241#125—1461no—
1242#125—1461no—
1243#125—1461no—
1244#125—1461no—
1245#125—1461no—
1246#125—1461no—
1247#125C22×D7311yescharacteristic
1248#124—731no—
1249#124—731no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#123—731no—
1255#123—731no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—731no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8—1461no—
1294C22⋊Q8—1461no—
1295C22⋊Q8C22×D7311yescharacteristic
1296C22⋊Q8C22×D7311yescharacteristic
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#120—731no—
1323#120—731no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330#120—1461no—
1331#120—1461no—
1332C4×Q8—731no—
1333C4×Q8—731no—
1334C4×Q8C22×D7311yescharacteristic
1335C4×Q8C22×D7311yescharacteristic
1336C4×Q8C22×D7311yescharacteristic
1337C4×Q8C22×D7311yescharacteristic
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—731no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4C22×D7311yescharacteristic
1353C4×D4C22×D7311yescharacteristic
1354#117—21no—
1355#117—731no—
1356#117—731no—
1357#117—1461no—
1358#117—1461no—
1359#117—1461no—
1360#117—1461no—
1361#117C22×D7311yescharacteristic
1362C2×C4⋊C4—21no—
1363C2×C4⋊C4—731no—
1364C2×C4⋊C4—731no—
1365C2×C4⋊C4—1461no—
1366C2×C4⋊C4—1461no—
1367C2×C4⋊C4C22×D7311yescharacteristic
1368C2×C22⋊C4—1461no—
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371C2×C22⋊C4—1461no—
1372C2×C22⋊C4—1461no—
1373#107—731no—
1374#107—731no—
1375#107C22×D7311yescharacteristic
1376#107C22×D7311yescharacteristic
1377#106—731no—
1378#106—731no—
1379#106C22×D7311yescharacteristic
1380#106C22×D7311yescharacteristic
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383C4⋊C8C22×D7311yescharacteristic
1384C4⋊C8C22×D7311yescharacteristic
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103C22×D7311yescharacteristic
1396#103C22×D7311yescharacteristic
1397#103C22×D7311yescharacteristic
1398#103C22×D7311yescharacteristic
1399#103C22×D7311yescharacteristic
1400#103C22×D7311yescharacteristic
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102C22×D7311yescharacteristic
1416#102C22×D7311yescharacteristic
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8C22×D7311yescharacteristic
1428C22⋊C8C22×D7311yescharacteristic
1429#97—731no—
1430#97C22×D7311yescharacteristic
1431C4×C8—731no—
1432C4×C8C22×D7311yescharacteristic
1433C24—731no—
1434C24—1461no—
1435C24—1461no—
1436C24—1461no—
1437C24—1461no—
1438#41—22no—
1439#41—22no—
1440#41—2924no—
1441#41—2924no—
1442#41—2921no—
1443#41—2921no—
1444#41—2921no—
1445#41—2921no—
1446#41—2924no—
1447#41—2921no—
1448#41—2921no—
1449#41—2921no—
1450#41—2921no—
1451#41—1462no—
1452#41—1462no—
1453#41—1462no—
1454#41—1462no—
1455C2×Q8—2921no—
1456C2×Q8—2921no—
1457C2×Q8—2921no—
1458C2×Q8—2921no—
1459C2×Q8—2921no—
1460C2×Q8—2921no—
1461C2×Q8—2921no—
1462C2×Q8—2921no—
1463C2×Q8—2921no—
1464C2×Q8—731no—
1465C2×Q8—731no—
1466C2×Q8—731no—
1467C2×Q8—731no—
1468C2×Q8—1461no—
1469C2×Q8—1461no—
1470C2×Q8—1461no—
1471C2×Q8—1461no—
1472C2×Q8—1461no—
1473C2×Q8—1462no—
1474C2×Q8C23×D7311yescharacteristic
1475C2×Q8C23×D7311yescharacteristic
1476C2×Q8C23×D7311yescharacteristic
1477C2×D4—21no—
1478C2×D4—2924no—
1479C2×D4—2921no—
1480C2×D4—2921no—
1481C2×D4—2924no—
1482C2×D4—2924no—
1483C2×D4—2924no—
1484C2×D4—2921no—
1485C2×D4—2921no—
1486C2×D4—2921no—
1487C2×D4—5842no—
1488C2×D4—5842no—
1489C2×D4—5842no—
1490C2×D4—731no—
1491C2×D4—731no—
1492C2×D4—731no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1462no—
1515C2×D4—1462no—
1516C2×D4—1462no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4C23×D7311yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—2924no—
1528C22×C4—2921no—
1529C22×C4—2921no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
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×C4C23×D7311yescharacteristic
1550Q16—22no—
1551Q16—22no—
1552Q16—2921no—
1553Q16—2921no—
1554Q16—2921no—
1555Q16—2921no—
1556Q16—1462no—
1557Q16—1462no—
1558SD16—22no—
1559SD16—22no—
1560SD16—2921no—
1561SD16—2921no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—2921no—
1568SD16—2921no—
1569SD16—2921no—
1570SD16—2921no—
1571SD16—2921no—
1572SD16—1462no—
1573SD16—1462no—
1574M16—2921no—
1575M16—2921no—
1576M16—2921no—
1577M16—2921no—
1578C2×C8—2921no—
1579C2×C8—2921no—
1580C2×C8—2921no—
1581C2×C8—2921no—
1582C2×C8—731no—
1583C2×C8—731no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8C23×D7311yescharacteristic
1587C2×C8C23×D7311yescharacteristic
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—731no—
1604C4⋊C4—731no—
1605C4⋊C4—731no—
1606C4⋊C4—731no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4D4×D7311yescharacteristic
1628C4⋊C4D4×D7311yescharacteristic
1629C4⋊C4C23×D7311yescharacteristic
1630C4⋊C4C23×D7311yescharacteristic
1631C4⋊C4C23×D7311yescharacteristic
1632C4⋊C4C23×D7311yescharacteristic
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—731no—
1638C22⋊C4—731no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4D4×D7311yescharacteristic
1670C22⋊C4D4×D7311yescharacteristic
1671C42—21no—
1672C42—21no—
1673C42—21no—
1674C42—21no—
1675C42—1461no—
1676C42—1461no—
1677C42—1461no—
1678C42—1461no—
1679C42C23×D7311yescharacteristic
1680C42C23×D7311yescharacteristic
1681C23—21no—
1682C23—2922no—
1683C23—2922no—
1684C23—2922no—
1685C23—2922no—
1686C23—2921no—
1687C23—2921no—
1688C23—2922no—
1689C23—5841no—
1690C23—5841no—
1691C23—5841no—
1692C23—5841no—
1693C23—5841no—
1694C23—5841no—
1695C23—5841no—
1696C23—731no—
1697C23—731no—
1698C23—731no—
1699C23—731no—
1700C23—1462no—
1701C23—1461no—
1702C23—1461no—
1703C23—1461no—
1704C23C2×D4×D7311yescharacteristic
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—2922no—
1711Q8—2921no—
1712Q8—5841no—
1713Q8—5841no—
1714Q8—5841no—
1715Q8—5841no—
1716Q8—1461no—
1717Q8—1461no—
1718Q8—1461no—
1719Q8—1461no—
1720Q8—1461no—
1721Q8—1461no—
1722Q8#1455663712yes—
1723D4—24no—
1724D4—21no—
1725D4—2922no—
1726D4—2922no—
1727D4—2922no—
1728D4—2922no—
1729D4—2921no—
1730D4—2921no—
1731D4—2921no—
1732D4—2922no—
1733D4—2922no—
1734D4—2922no—
1735D4—2922no—
1736D4—2922no—
1737D4—2922no—
1738D4—2922no—
1739D4—2921no—
1740D4—2921no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—1462no—
1750D4—1462no—
1751D4—1461no—
1752D4—1461no—
1753D4—1461no—
1754D4—1461no—
1755D4—1461no—
1756D4—1461no—
1757D4#1455663712yes—
1758C2×C4—24no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—81no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2921no—
1777C2×C4—2921no—
1778C2×C4—2922no—
1779C2×C4—2922no—
1780C2×C4—2922no—
1781C2×C4—2921no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—731no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4—1461no—
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C2×D4×D7311yescharacteristic
1807C2×C4C2×D4×D7311yescharacteristic
1808C2×C4C24×D7311yescharacteristic
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—1461no—
1814C8—1461no—
1815C8—1461no—
1816C8—1461no—
1817C22—21no—
1818C22—22no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—2921no—
1824C22—2921no—
1825C22—2921no—
1826C22—2921no—
1827C22—2921no—
1828C22—2921no—
1829C22—2921no—
1830C22—2921no—
1831C22—2921no—
1832C22—5842no—
1833C22—5844no—
1834C22—732no—
1835C22—11682no—
1836C22—11682no—
1837C22—11682no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22—1461no—
1846C22—1461no—
1847C22—1461no—
1848C22—1461no—
1849C22C22×D4×D7311yescharacteristic
1850C4—21no—
1851C4—22no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—2921no—
1863C4—2921no—
1864C4—2921no—
1865C4—2921no—
1866C4—2921no—
1867C4—1461no—
1868C4—1461no—
1869C4—1461no—
1870C4—1461no—
1871C4C2×#1455663711yescharacteristic
1872C4C2×#1455663711yescharacteristic
1873C2—41no—
1874C2—42no—
1875C2—2921no—
1876C2—2921no—
1877C2—2921no—
1878C2—5841no—
1879C2—5841no—
1880C2—5841no—
1881C2—1462no—
1882C2#2262356411yescharacteristic
1883C2#577×D7311yescharacteristic
1884C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3120C2
socleC22×C73C23×D4
prime radical#22623601C2
hypercenter#3120D73
hypocenterC73#61618
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #22624179C2semidirect
3. #22622152C2semidirect
4. #22622144C2semidirect
5. #22622062C2semidirect
6. #22622054C2semidirect
7. #22621957C2semidirect
8. #22621949C2semidirect
9. #22621823C2semidirect
10. #22621815C2semidirect
11. #22621630C2semidirect
12. SD16×D292C2semidirect
13. #22621598C2semidirect
14. #22621592C2semidirect
15. #22621507C2semidirect
16. #22621503C2semidirect
17. #22621447C2semidirect
18. #22621443C2semidirect
19. #22621005C2semidirect
20. #22620997C2semidirect
21. #22620820C2semidirect
22. #22620818C2semidirect
23. #22620736C2semidirect
24. #22620687C2semidirect
25. #22620145C2semidirect
26. #22619205C2semidirect
27. #22619205C2semidirect
28. #22619188C2semidirect
29. #452×D73C2semidirect
30. #22618977C2semidirect
31. C73×#3120C2semidirect
34. C2×#14556623C22semidirect
35. C2×#14556623C22semidirect
36. C2×#14556623C22semidirect
37. C2×#14556620C22semidirect
38. C2×Q16×D73C22semidirect
39. C2×SD16×D73C22semidirect
40. C2×SD16×D73C22semidirect
41. C2×SD16×D73C22semidirect
44. #17989278C22semidirect
45. #17989278C22semidirect
46. #17989275C22semidirect
47. #17989275C22semidirect
52. Q8×D292C22semidirect
53. Q8×D292C22semidirect
54. #17989252C22semidirect
55. #17989252C22semidirect
68. #17989199C22semidirect
73. #17989160C22semidirect
74. #17989160C22semidirect
79. C22⋊Q8×D73C22semidirect
80. C22⋊Q8×D73C22semidirect
83. #17988981C22semidirect
84. #17988979C22semidirect
85. #17988961C22semidirect
86. #17988960C22semidirect
87. #17988953C22semidirect
88. #17988952C22semidirect
89. #17988944C22semidirect
90. #17988942C22semidirect
91. #17988931C22semidirect
92. #17988930C22semidirect
93. #17988922C22semidirect
94. #17988917C22semidirect
95. #17988914C22semidirect
96. #17988913C22semidirect
97. #17988907C22semidirect
98. #17988907C22semidirect
99. #17988902C22semidirect
100. #17988902C22semidirect
101. #17988894C22semidirect
102. #17988887C22semidirect
103. #17988846C22semidirect
104. #17988844C22semidirect
105. #17988836C22semidirect
106. #17988836C22semidirect
107. #17988836C22semidirect
108. #17988834C22semidirect
109. #17988834C22semidirect
110. #17988834C22semidirect
111. #17988829C22semidirect
112. #17988827C22semidirect
113. #17988819C22semidirect
114. #17988819C22semidirect
115. #17988819C22semidirect
116. #17988817C22semidirect
117. #17988817C22semidirect
118. #17988817C22semidirect
119. #17988810C22semidirect
120. #17988810C22semidirect
121. #17988809C22semidirect
122. #17988809C22semidirect
123. #17988797C22semidirect
124. #17988792C22semidirect
125. #17988788C22semidirect
126. #17988788C22semidirect
127. #17988787C22semidirect
128. #17988787C22semidirect
129. #17988752C22semidirect
130. #17988752C22semidirect
131. #17988752C22semidirect
132. #17988751C22semidirect
133. #17988751C22semidirect
134. #17988750C22semidirect
137. #17988748C22semidirect
138. #17988748C22semidirect
139. #17988748C22semidirect
140. #17988747C22semidirect
141. #17988747C22semidirect
142. #17988746C22semidirect
143. #17988744C22semidirect
144. #17988744C22semidirect
145. #17988744C22semidirect
146. #17988741C22semidirect
147. #17988740C22semidirect
148. #17988740C22semidirect
149. #17988739C22semidirect
150. #17988739C22semidirect
151. #17988739C22semidirect
152. #17988737C22semidirect
153. #17988737C22semidirect
154. #17988736C22semidirect
155. #17988736C22semidirect
156. #17988736C22semidirect
157. #17988727C22semidirect
158. #17988727C22semidirect
159. #17988727C22semidirect
160. #17988727C22semidirect
161. #17988727C22semidirect
162. #17988727C22semidirect
163. #17988692C22semidirect
164. #17988687C22semidirect
165. C4×#11924018C22semidirect
166. C4×#11924016C22semidirect
167. #17988666C22semidirect
168. #17988664C22semidirect
169. #17988660C22semidirect
170. #17988660C22semidirect
171. #17988657C22semidirect
172. #17988657C22semidirect
173. C8×D292C22semidirect
174. #17988652C22semidirect
175. #17988648C22semidirect
176. #17988590C22semidirect
177. #17988590C22semidirect
178. #17988587C22semidirect
179. #17988585C22semidirect
180. #17988582C22semidirect
181. #17988582C22semidirect
182. #103×D73C22semidirect
183. #102×D73C22semidirect
184. #17988552C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. C22⋊C8×D73C22semidirect
188. #541×C73C22semidirect
190. #484×C73C22semidirect
191. #483×C73C22semidirect
192. #479×C73C22semidirect
193. #478×C73C22semidirect
194. #462×C73C22semidirect
195. #461×C73C22semidirect
198. #441×C73C22semidirect
199. #440×C73C22semidirect
200. C4×Q16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #433×C73C22semidirect
968. #3120D73semidirect
974. C73#61618semidirect
1012. #541C2×D73semidirect
1039. #484C2×D73semidirect
1041. #483C2×D73semidirect
1049. #479C2×D73semidirect
1051. #478C2×D73semidirect
1073. #462C2×D73semidirect
1075. #461C2×D73semidirect
1117. #441C2×D73semidirect
1119. #440C2×D73semidirect
1121. C4×Q16C2×D73semidirect
1123. C4×SD16C2×D73semidirect
1133. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241792
#226236012
#226221522
#226221442
#226220622
#226220542
#226219572
#226219492
#226218232
#226218152
#226216302
SD16×D2922
#226215982
#226215922
#226215072
#226215032
#226214472
#226214432
#226210052
#226209972
#226208202
#226208182
#226207362
#226206872
#226201452
#226192052
#226191882
#452×D732
#226189772
C73×#31202
#6161873