Finite Group Databasebeta

← #33969113

Subgroups — #33969113

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624043C211yesmaximal, characteristic, complemented
2#22623964C211yesmaximal, characteristic, complemented
3#22622975C211yesmaximal, characteristic, complemented
4#22622684C211yesmaximal, characteristic, complemented
5#22622660C211yesmaximal, characteristic, complemented
6#22622490C211yesmaximal, characteristic, complemented
7#22622430C211yesmaximal, characteristic, complemented
8#22622430C211yesmaximal, characteristic, complemented
9#22622181C211yesmaximal, characteristic, complemented
10#22622170C211yesmaximal, characteristic, complemented
11#22622114C211yesmaximal, characteristic, complemented
12#22622069C211yesmaximal, characteristic, complemented
13#22621949C211yesmaximal, characteristic, complemented
14#22621934C211yesmaximal, characteristic, complemented
15#22621552C211yesmaximal, characteristic, complemented
16#22621428C211yesmaximal, characteristic, complemented
17#22621428C211yesmaximal, characteristic, complemented
18#22620619C211yesmaximal, characteristic, complemented
19#22620582C211yesmaximal, characteristic, complemented
20#22620528C211yesmaximal, characteristic, complemented
21#22620224C211yesmaximal, characteristic, complemented
22#22620176C211yesmaximal, characteristic, complemented
23#22620137C211yesmaximal, characteristic, complemented
24#22620120C211yesmaximal, characteristic, complemented
25#22620085C211yesmaximal, characteristic, complemented
26#22620074C211yesmaximal, characteristic, complemented
27#22618915C211yesmaximal, characteristic, complemented
28#22618785C211yesmaximal, characteristic, complemented
29#22618762C211yesmaximal, characteristic, complemented
30#22618736C211yesmaximal, characteristic, complemented
31C73×#3388C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989322—21no—
36#17989322C2211yescharacteristic, complemented
37#17989303—21no—
38#17989303C2211yescharacteristic
39#17989303C2211yescharacteristic, complemented
40#17989290—21no—
41#17989290C2211yescharacteristic
42#17989290C2211yescharacteristic
43#17989290C2211yescharacteristic, complemented
44#17989285—21no—
45#17989275—21no—
46#17989275C2211yescharacteristic, complemented
47#17989259C2211yescharacteristic
48#17989259C2211yescharacteristic, complemented
49#17989249C2211yescharacteristic, complemented
50#17989249C2211yescharacteristic, complemented
51#17989228—21no—
52#17989228—21no—
53#17989228—21no—
54D4×D292C2211yescharacteristic
55D4×D292C2211yescharacteristic
56D4×D292C2211yescharacteristic
57#17989211—21no—
58#17989211C2211yescharacteristic, complemented
59#17989193—21no—
60#17989193C2211yescharacteristic
61#17989193C2211yescharacteristic
62#17989193C2211yescharacteristic, complemented
63#17989177—21no—
64#17989177—21no—
65#17989138C2211yescharacteristic
66#17989124—21no—
67#17989124C2211yescharacteristic
68#17989122—21no—
69#17989122C2211yescharacteristic, complemented
70#17989100—21no—
71C2×#14556566—21no—
72#17989069C2211yescharacteristic, complemented
73#17989063C2211yescharacteristic, complemented
74#17989059C2211yescharacteristic
75#17989059C2211yescharacteristic
76C4×#11924029C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988976C2211yescharacteristic, complemented
79#17988976C2211yescharacteristic, complemented
80#17988964C2211yescharacteristic, complemented
81#17988953C2211yescharacteristic, complemented
82#17988953C2211yescharacteristic, complemented
83#17988953C2211yescharacteristic, complemented
84#17988949C2211yescharacteristic, complemented
85#17988944C2211yescharacteristic, complemented
86#17988935C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988919C2211yescharacteristic, complemented
89#17988914C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988864C2211yescharacteristic, complemented
104#17988864C2211yescharacteristic, complemented
105#17988841C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic, complemented
107#17988841C2211yescharacteristic, complemented
108#17988841C2211yescharacteristic, complemented
109#17988841C2211yescharacteristic, complemented
110#17988834C2211yescharacteristic, complemented
111#17988834C2211yescharacteristic, complemented
112#17988834C2211yescharacteristic, complemented
113#17988824C2211yescharacteristic, complemented
114#17988824C2211yescharacteristic, complemented
115#17988824C2211yescharacteristic, complemented
116#17988817C2211yescharacteristic, complemented
117#17988803C2211yescharacteristic, complemented
118#17988803C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic
120#17988802C2211yescharacteristic
121#17988788C2211yescharacteristic, complemented
122#17988787C2211yescharacteristic, complemented
123#17988787C2211yescharacteristic, complemented
124#17988787C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic, complemented
126#17988783C2211yescharacteristic, complemented
127#17988783C2211yescharacteristic, complemented
128#17988782C2211yescharacteristic
129#17988739C2211yescharacteristic
130#17988739C2211yescharacteristic
131#17988735C2211yescharacteristic, complemented
132#17988735C2211yescharacteristic, complemented
133#17988735C2211yescharacteristic, complemented
134#17988735C2211yescharacteristic, complemented
135#17988727C2211yescharacteristic, complemented
136#17988727C2211yescharacteristic, complemented
137#17988722C2211yescharacteristic
138#17988722C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988700C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic, complemented
144#17988698C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988698C2211yescharacteristic, complemented
147#17988697C2211yescharacteristic
148#17988696C2211yescharacteristic
149#17988690C2211yescharacteristic, complemented
150#17988690C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic
152#17988686C2211yescharacteristic, complemented
153#17988685C2211yescharacteristic, complemented
154#17988685C2211yescharacteristic, complemented
155#17988684C2211yescharacteristic
156C4×#11924017C2211yescharacteristic, complemented
157SD16×Dic73C2211yescharacteristic
158C4×#11924015C2211yescharacteristic, complemented
159#17988674C2211yescharacteristic, complemented
160#17988674C2211yescharacteristic, complemented
161#17988672C2211yescharacteristic, complemented
162#17988669C2211yescharacteristic, complemented
163#17988669C2211yescharacteristic, complemented
164#17988669C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic
166#17988667C2211yescharacteristic
167#17988666C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173#17988647C2211yescharacteristic, complemented
174#17988647C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988628C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic
181#17988590C2211yescharacteristic
182#17988587C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185#17988544C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187#17988539C2211yescharacteristic, complemented
188#557×C73C2211yescharacteristic, complemented
189#554×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#501×C73C2211yescharacteristic, complemented
192#499×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#479×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic
196#478×C73C2211yescharacteristic
197#476×C73C2211yescharacteristic
198#475×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202C4×SD16×C73C2211yescharacteristic
203C2×#11924029—21no—
204C2×#11924029—21no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292—21no—
209C22×D292—21no—
210C22×D292—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556618—24no—
216#14556618—24no—
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224SD16×D73—24no—
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237C2×C8×D73C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239#14556588—21no—
240#14556588C2311yescharacteristic
241#14556588C2311yescharacteristic
242#14556588C2311yescharacteristic
243#14556588C2311yescharacteristic
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556586—21no—
249#14556586—21no—
250#14556586D411yescharacteristic
251#14556586D411yescharacteristic
252#14556582—21no—
253#14556582D411yescharacteristic
254#14556580—21no—
255#14556580—21no—
256#14556580—21no—
257#14556580—21no—
258#14556580—21no—
259#14556580—21no—
260#14556580—21no—
261#14556580D411yescharacteristic
262#14556579—21no—
263#14556579—21no—
264#14556579C2311yescharacteristic
265#14556579C2311yescharacteristic
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576D411yescharacteristic
281#14556576D411yescharacteristic
282#14556571—21no—
283#14556571—21no—
284#14556571C2311yescharacteristic
285#14556571C2311yescharacteristic
286#14556567—21no—
287#14556567D411yescharacteristic
288#14556566—21no—
289#14556566—21no—
290#14556566—21no—
291#14556566—21no—
292#14556566—21no—
293#14556566—21no—
294#14556566—21no—
295#14556566—21no—
296#14556566—21no—
297#14556566—21no—
298#14556566—21no—
299#14556566—21no—
300#14556566—21no—
301#14556566—21no—
302#14556566—21no—
303#14556566—21no—
304#14556566—21no—
305#14556566—21no—
306#14556566—21no—
307#14556566D411yescharacteristic
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556565—21no—
319#14556565—21no—
320#14556565—21no—
321#14556561—21no—
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326#14556561—21no—
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331#14556556C2311yescharacteristic
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553—21no—
351#14556553—21no—
352#14556553—21no—
353#14556553—21no—
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic
358#14556553C2311yescharacteristic
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549—21no—
368#14556549—21no—
369#14556549—21no—
370#14556549—21no—
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556549C2311yescharacteristic
374#14556549C2311yescharacteristic
375#14556548—21no—
376#14556548—21no—
377#14556548C2311yescharacteristic
378#14556548C2311yescharacteristic
379C4⋊C4×D73—21no—
380C4⋊C4×D73C2311yescharacteristic
381C4⋊C4×D73C2311yescharacteristic
382C2×#11924005—21no—
383C2×#11924005—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C42×D73—21no—
388C42×D73C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556514C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556512C2311yescharacteristic
410#14556511C2311yescharacteristic
411#14556511C2311yescharacteristic
412#14556511C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C4⋊Q8×C73—21no—
440C4⋊Q8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#125×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#125×C73C2311yescharacteristic
446#125×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73—21no—
450C22⋊Q8×C73—21no—
451C4×Q8×C73—21no—
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C2×C4⋊C4×C73—21no—
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—22no—
486#11924029—41no—
487#11924029—41no—
488#11924029—82no—
489#11924029—82no—
490C2×Dic146—21no—
491C2×Dic146C2411yescharacteristic
492Q8×D73—22no—
493Q8×D73—41no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—82no—
515C2×D292—82no—
516C2×D292—82no—
517C2×D292C2×D411yescharacteristic
518C2×D292C2×D411yescharacteristic
519C2×D292C2×D411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528D4×D73—22no—
529D4×D73—22no—
530D4×D73—22no—
531D4×D73—41no—
532D4×D73—41no—
533D4×D73—41no—
534C22×Dic73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
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—82no—
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555C2×C4×D73C2411yescharacteristic
556#11924017—22no—
557#11924017—41no—
558#11924017—41no—
559#11924016—22no—
560#11924015—22no—
561#11924015—22no—
562#11924015—22no—
563D584—22no—
564D584—22no—
565D584—41no—
566D584—41no—
567D584—41no—
568D584—41no—
569#11924013—22no—
570#11924013—22no—
571#11924011—22no—
572#11924011—22no—
573#11924011—41no—
574#11924011—41no—
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C8×D73—22no—
580C8×D73—41no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
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#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C2×Q8×C73—21no—
649C2×Q8×C73—21no—
650C2×Q8×C73C2×D411yescharacteristic
651C2×Q8×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656SD16×C73#4114yescomplemented
657C2×C8×C73C2411yescharacteristic
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C4⋊C4×C73—21no—
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C4⋊C4×C73C2411yescharacteristic
682C4⋊C4×C73C2411yescharacteristic
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73—21no—
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—81no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73—41no—
712Q8×C73—81no—
713Q8×C73—81no—
714Q8×C73C2×#4112yes—
715D4×C73—21no—
716D4×C73C2×#4112yes—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—42no—
725C2×C4×C73—81no—
726C2×C4×C73—81no—
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C2511yescharacteristic
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—81no—
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746D292—21no—
747D292—21no—
748D292—21no—
749D292—21no—
750D292—21no—
751D292—21no—
752D292—21no—
753D292—21no—
754D292—21no—
755D292—21no—
756D292—41no—
757D292—41no—
758D292—41no—
759D292—42no—
760D292—42no—
761D292—42no—
762D292—42no—
763D292—42no—
764D292—81no—
765D292—81no—
766D292—81no—
767D292—81no—
768D292—81no—
769D292—81no—
770D292—81no—
771D292—81no—
772D292—81no—
773D292—81no—
774D292—81no—
775D292—81no—
776D292—81no—
777D292—81no—
778D292—81no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—41no—
786C4×D73—41no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802Dic146—21no—
803Dic146—21no—
804Dic146—42no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—22no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73C23×D411yescharacteristic
817C2×D73—21no—
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—162no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—21no—
850C4×C73—22no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73C22×#4111yescharacteristic
858C4×C73#58511yescharacteristic
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—21no—
863Dic73—21no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—42no—
869C2×C73D4×#4111yescharacteristic
870C2×C73#358511yescharacteristic
871C2×C73#358511yescharacteristic
872D73—41no—
873D73—41no—
874D73—41no—
875D73—81no—
876D73—81no—
877D73—81no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388D7311yescharacteristic, complemented
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557C2×D7311yescharacteristic, complemented
918#555—731no—
919#555—731no—
920#555—1461no—
921#554C2×D7311yescharacteristic
922#553—731no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553—1461no—
927#552—731no—
928#552—1461no—
929#550—731no—
930#550—731no—
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—731no—
944#540—1461no—
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519—731no—
956#518—731no—
957#518—731no—
958C4×#41—731no—
959C2×C4×D4—731no—
960#501C2×D7311yescharacteristic, complemented
961#501C2×D7311yescharacteristic, complemented
962#499C2×D7311yescharacteristic, complemented
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490—731no—
969#489—731no—
970#488—731no—
971#486—731no—
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479C2×D7311yescharacteristic, complemented
986#479C2×D7311yescharacteristic, complemented
987#478—731no—
988#478—731no—
989#478—731no—
990#478C2×D7311yescharacteristic
991#478C2×D7311yescharacteristic
992#476C2×D7311yescharacteristic
993#475C2×D7311yescharacteristic, complemented
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446C2×D7311yescharacteristic, complemented
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440C2×D7311yescharacteristic
1049#440C2×D7311yescharacteristic
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16C2×D7311yescharacteristic
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418—731no—
1077#417—731no—
1078#416—731no—
1079C2×#102—731no—
1080#405—731no—
1081#405—731no—
1082C4×M16—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C22×Q8—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16—1464no—
1105C2×SD16C22×D7311yescharacteristic
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16—731no—
1118C22×C8—731no—
1119C22×C8—731no—
1120C4⋊Q8—21no—
1121C4⋊Q8C22×D7311yescharacteristic
1122C4⋊Q8C22×D7311yescharacteristic
1123#127—731no—
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—1461no—
1128#126—731no—
1129#126—731no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—21no—
1137#125—21no—
1138#125—731no—
1139#125—1461no—
1140#125C22×D7311yescharacteristic
1141#125C22×D7311yescharacteristic
1142#125C22×D7311yescharacteristic
1143#125C22×D7311yescharacteristic
1144#124—731no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#123—731no—
1157#123—731no—
1158#123—1461no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—731no—
1176C22⋊Q8—731no—
1177C22⋊Q8—731no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181#121—731no—
1182#121—731no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
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#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—21no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—1461no—
1225C4×Q8—1461no—
1226C4×Q8C22×D7311yescharacteristic
1227C4×Q8C22×D7311yescharacteristic
1228C4×Q8C22×D7311yescharacteristic
1229C4×Q8C22×D7311yescharacteristic
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—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
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×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—731no—
1267#117—731no—
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—
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—731no—
1283C2×C4⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107C22×D7311yescharacteristic
1296#107C22×D7311yescharacteristic
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106C22×D7311yescharacteristic
1303#106C22×D7311yescharacteristic
1304#106C22×D7311yescharacteristic
1305#106C22×D7311yescharacteristic
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8C22×D7311yescharacteristic
1311C4⋊C8C22×D7311yescharacteristic
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103C22×D7311yescharacteristic
1319#103C22×D7311yescharacteristic
1320#103C22×D7311yescharacteristic
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—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#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97C22×D7311yescharacteristic
1356#97C22×D7311yescharacteristic
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8C22×D7311yescharacteristic
1361C24—1461no—
1362C24—1461no—
1363C24—1461no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—21no—
1371C2×Q8—21no—
1372C2×Q8—2921no—
1373C2×Q8—731no—
1374C2×Q8—1461no—
1375C2×Q8—1462no—
1376C2×Q8D4×D7311yescharacteristic
1377C2×Q8C23×D7311yescharacteristic
1378C2×D4—2921no—
1379C2×D4—2921no—
1380C2×D4—2921no—
1381C2×D4—5842no—
1382C2×D4—5842no—
1383C2×D4—5842no—
1384C2×D4—731no—
1385C2×D4—731no—
1386C2×D4—731no—
1387C2×D4—731no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1462no—
1408C2×D4—1462no—
1409C2×D4—1462no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—5842no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444SD16—2921no—
1445SD16—2921no—
1446SD16—1462no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16#1192402914yescomplemented
1452D8—2921no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—2921no—
1461M16—2921no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—2921no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—1462no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4D4×D7311yescharacteristic
1504C4⋊C4D4×D7311yescharacteristic
1505C4⋊C4D4×D7311yescharacteristic
1506C4⋊C4C23×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—731no—
1516C22⋊C4—731no—
1517C22⋊C4—731no—
1518C22⋊C4—731no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊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—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42C23×D7311yescharacteristic
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—2922no—
1574C23—2922no—
1575C23—2922no—
1576C23—2922no—
1577C23—5841no—
1578C23—5841no—
1579C23—5841no—
1580C23—5841no—
1581C23—5841no—
1582C23—731no—
1583C23—731no—
1584C23—731no—
1585C23—1461no—
1586C23—1461no—
1587C23—1461no—
1588C23—1461no—
1589C23—1461no—
1590Q8—21no—
1591Q8—41no—
1592Q8—81no—
1593Q8—81no—
1594Q8—2922no—
1595Q8—1461no—
1596Q8—1461no—
1597Q8C2×#1192402912yes—
1598D4—21no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2921no—
1603D4—2921no—
1604D4—2921no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—2922no—
1609D4—2922no—
1610D4—5841no—
1611D4—5841no—
1612D4—5841no—
1613D4—5841no—
1614D4—5841no—
1615D4—5841no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—1461no—
1626D4—1461no—
1627D4—1461no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4C2×#1192402912yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2921no—
1651C2×C4—2921no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8C2×#1192402912yes—
1693C22—22no—
1694C22—41no—
1695C22—41no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—2921no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—5844no—
1712C22—11682no—
1713C22—11682no—
1714C22—1461no—
1715C22—1461no—
1716C22—1461no—
1717C22—1461no—
1718C22—1461no—
1719C22—1461no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—22no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C22×#1192402911yescharacteristic
1746C4#1798942411yescharacteristic
1747C2—42no—
1748C2—2921no—
1749C2—2921no—
1750C2—2921no—
1751C2—5841no—
1752C2—5841no—
1753C2—5841no—
1754C2—5841no—
1755C2—5841no—
1756C2D4×#1192402911yescharacteristic
1757C2#2262470811yescharacteristic
1758C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3388C2
socleC22×C73C23×D4
hypercenter#3388D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #22624043C2semidirect
2. #22623964C2semidirect
3. #22622975C2semidirect
4. #22622684C2semidirect
5. #22622660C2semidirect
6. #22622490C2semidirect
7. #22622430C2semidirect
8. #22622430C2semidirect
9. #22622181C2semidirect
10. #22622170C2semidirect
11. #22622114C2semidirect
12. #22622069C2semidirect
13. #22621949C2semidirect
14. #22621934C2semidirect
15. #22621552C2semidirect
16. #22621428C2semidirect
17. #22621428C2semidirect
18. #22620619C2semidirect
19. #22620582C2semidirect
20. #22620528C2semidirect
21. #22620224C2semidirect
22. #22620176C2semidirect
23. #22620137C2semidirect
24. #22620120C2semidirect
25. #22620085C2semidirect
26. #22620074C2semidirect
27. #22618915C2semidirect
28. #22618785C2semidirect
29. #22618762C2semidirect
30. #22618736C2semidirect
31. C73×#3388C2semidirect
36. #17989322C22semidirect
39. #17989303C22semidirect
43. #17989290C22semidirect
46. #17989275C22semidirect
48. #17989259C22semidirect
49. #17989249C22semidirect
50. #17989249C22semidirect
58. #17989211C22semidirect
62. #17989193C22semidirect
69. #17989122C22semidirect
72. #17989069C22semidirect
73. #17989063C22semidirect
76. C4×#11924029C22semidirect
78. #17988976C22semidirect
79. #17988976C22semidirect
80. #17988964C22semidirect
81. #17988953C22semidirect
82. #17988953C22semidirect
83. #17988953C22semidirect
84. #17988949C22semidirect
85. #17988944C22semidirect
86. #17988935C22semidirect
87. #17988931C22semidirect
88. #17988919C22semidirect
89. #17988914C22semidirect
90. #17988914C22semidirect
91. #17988913C22semidirect
92. #17988913C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
95. #17988913C22semidirect
96. #17988907C22semidirect
97. #17988902C22semidirect
98. #17988902C22semidirect
99. #17988891C22semidirect
100. #17988884C22semidirect
101. #17988884C22semidirect
102. #17988884C22semidirect
103. #17988864C22semidirect
104. #17988864C22semidirect
105. #17988841C22semidirect
106. #17988841C22semidirect
107. #17988841C22semidirect
108. #17988841C22semidirect
109. #17988841C22semidirect
110. #17988834C22semidirect
111. #17988834C22semidirect
112. #17988834C22semidirect
113. #17988824C22semidirect
114. #17988824C22semidirect
115. #17988824C22semidirect
116. #17988817C22semidirect
117. #17988803C22semidirect
118. #17988803C22semidirect
121. #17988788C22semidirect
122. #17988787C22semidirect
123. #17988787C22semidirect
124. #17988787C22semidirect
125. #17988783C22semidirect
126. #17988783C22semidirect
127. #17988783C22semidirect
131. #17988735C22semidirect
132. #17988735C22semidirect
133. #17988735C22semidirect
134. #17988735C22semidirect
135. #17988727C22semidirect
136. #17988727C22semidirect
141. #17988718C22semidirect
142. #17988700C22semidirect
143. #17988700C22semidirect
144. #17988698C22semidirect
145. #17988698C22semidirect
146. #17988698C22semidirect
149. #17988690C22semidirect
150. #17988690C22semidirect
152. #17988686C22semidirect
153. #17988685C22semidirect
154. #17988685C22semidirect
156. C4×#11924017C22semidirect
158. C4×#11924015C22semidirect
159. #17988674C22semidirect
160. #17988674C22semidirect
161. #17988672C22semidirect
162. #17988669C22semidirect
163. #17988669C22semidirect
164. #17988669C22semidirect
167. #17988666C22semidirect
168. #17988664C22semidirect
169. #17988660C22semidirect
170. #17988660C22semidirect
171. #17988657C22semidirect
172. #17988657C22semidirect
173. #17988647C22semidirect
174. #17988647C22semidirect
175. #17988643C22semidirect
176. #17988628C22semidirect
177. #17988628C22semidirect
178. #17988622C22semidirect
179. #17988594C22semidirect
182. #17988587C22semidirect
183. #17988582C22semidirect
185. #17988544C22semidirect
186. #17988541C22semidirect
187. #17988539C22semidirect
188. #557×C73C22semidirect
190. #501×C73C22semidirect
191. #501×C73C22semidirect
192. #499×C73C22semidirect
193. #479×C73C22semidirect
194. #479×C73C22semidirect
198. #475×C73C22semidirect
199. #446×C73C22semidirect
656. SD16×C73#41semidirect
883. #3388D73semidirect
911. C73#61504semidirect
917. #557C2×D73semidirect
960. #501C2×D73semidirect
961. #501C2×D73semidirect
962. #499C2×D73semidirect
985. #479C2×D73semidirect
986. #479C2×D73semidirect
993. #475C2×D73semidirect
1033. #446C2×D73semidirect
1451. SD16#11924029semidirect

Maximal subgroups

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

subgroupindex
#226240432
#226239642
#226229752
#226226842
#226226602
#226224902
#226224302
#226221812
#226221702
#226221142
#226220692
#226219492
#226219342
#226215522
#226214282
#226206192
#226205822
#226205282
#226202242
#226201762
#226201372
#226201202
#226200852
#226200742
#226189152
#226187852
#226187622
#226187362
C73×#33882
#6150473