Finite Group Databasebeta

← #33967944

Subgroups — #33967944

Order 18688.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623538C211yesmaximal, characteristic
2#22623510C211yesmaximal, characteristic, complemented
3#22622985C211yesmaximal, characteristic, complemented
4#22622838C211yesmaximal, characteristic, complemented
5#22622748C211yesmaximal, characteristic, complemented
6#22622715C211yesmaximal, characteristic, complemented
7#22622417C211yesmaximal, characteristic, complemented
8#22622321C211yesmaximal, characteristic, complemented
9#22622105C211yesmaximal, characteristic, complemented
10#22622096C211yesmaximal, characteristic, complemented
11#22622015C211yesmaximal, characteristic, complemented
12#22622006C211yesmaximal, characteristic, complemented
13#22621805C211yesmaximal, characteristic, complemented
14#22621753C211yesmaximal, characteristic, complemented
15#22621624C211yesmaximal, characteristic, complemented
16#22621448C211yesmaximal, characteristic, complemented
17#22621446C211yesmaximal, characteristic, complemented
18#22620644C211yesmaximal, characteristic, complemented
19#22620642C211yesmaximal, characteristic, complemented
20#22620633C211yesmaximal, characteristic, complemented
21#22620107C211yesmaximal, characteristic, complemented
22#22620099C211yesmaximal, characteristic, complemented
23#22620088C211yesmaximal, characteristic, complemented
24#22620050C211yesmaximal, characteristic, complemented
25#22620032C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618749C211yesmaximal, characteristic, complemented
29C2×#17988686C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3346C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic
33C22×#11924017C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989320C2211yescharacteristic
36#17989317C2211yescharacteristic, complemented
37#17989315C2211yescharacteristic, complemented
38#17989314—21no—
39#17989296—21no—
40#17989293C2211yescharacteristic
41#17989292C2211yescharacteristic
42#17989292C2211yescharacteristic
43#17989292C2211yescharacteristic, complemented
44#17989291—21no—
45#17989291—21no—
46#17989282—21no—
47#17989281C2211yescharacteristic
48#17989266—21no—
49#17989262—21no—
50D4×Dic146C2211yescharacteristic, complemented
51#17989250C2211yescharacteristic
52#17989250C2211yescharacteristic, complemented
53#17989234C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989221C2211yescharacteristic
57#17989143—21no—
58#17989142C2211yescharacteristic, complemented
59#17989139—21no—
60#17989139—21no—
61#17989139C2211yescharacteristic, complemented
62#17989139C2211yescharacteristic, complemented
63#17989132C2211yescharacteristic
64#17989122C2211yescharacteristic
65#17989120—21no—
66#17989118C2211yescharacteristic
67#17989097—21no—
68#17989095—21no—
69#17989055C2211yescharacteristic
70C4×#11924027—21no—
71C4×#11924027C2211yescharacteristic
72C2×#14556556C2211yescharacteristic, complemented
73C2×#14556556C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×#14556553C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988981C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic
83#17988957C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988928C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988922C2211yescharacteristic, complemented
94#17988922C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic
96#17988900C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988897C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988881C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic
104#17988866C2211yescharacteristic
105#17988866C2211yescharacteristic, complemented
106#17988864C2211yescharacteristic
107#17988835C2211yescharacteristic, complemented
108#17988833C2211yescharacteristic, complemented
109#17988831C2211yescharacteristic, complemented
110#17988829C2211yescharacteristic, complemented
111#17988829C2211yescharacteristic, complemented
112#17988828C2211yescharacteristic, complemented
113#17988826C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic
115#17988817C2211yescharacteristic
116#17988814C2211yescharacteristic
117#17988810C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988796C2211yescharacteristic, complemented
122#17988793C2211yescharacteristic
123#17988792C2211yescharacteristic, complemented
124#17988791C2211yescharacteristic
125#17988791C2211yescharacteristic
126#17988791C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic
128#17988786C2211yescharacteristic
129#17988751C2211yescharacteristic
130#17988747C2211yescharacteristic
131#17988745C2211yescharacteristic, complemented
132#17988744C2211yescharacteristic, complemented
133#17988740C2211yescharacteristic
134#17988739C2211yescharacteristic
135#17988739C2211yescharacteristic
136#17988737C2211yescharacteristic
137#17988728C2211yescharacteristic, complemented
138#17988727C2211yescharacteristic
139#17988725C2211yescharacteristic
140#17988725C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988693C2211yescharacteristic, complemented
144#17988693C2211yescharacteristic, complemented
145#17988693C2211yescharacteristic, complemented
146#17988691C2211yescharacteristic, complemented
147#17988690C2211yescharacteristic
148#17988690C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic
150#17988688C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic, complemented
152#17988686C2211yescharacteristic
153#17988686C2211yescharacteristic
154#17988686C2211yescharacteristic
155#17988686C2211yescharacteristic
156#17988686C2211yescharacteristic
157#17988686C2211yescharacteristic, complemented
158#17988686C2211yescharacteristic, complemented
159#17988686C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic
163#17988684C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988681C2211yescharacteristic, complemented
167#17988681C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic
169#17988674C2211yescharacteristic
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic
174#17988650C2211yescharacteristic
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988595C2211yescharacteristic, complemented
180#17988586C2211yescharacteristic
181C2×#14556514C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic
184#102×D73C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic, complemented
189#553×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#481×C73C2211yescharacteristic
194#480×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202C2×#107×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027D411yescharacteristic
206C22×Dic146C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214#14556624—24no—
215C2×Dic292C2311yescharacteristic
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924017—24no—
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231SD16×D73—24no—
232C2×#11924012C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556590—21no—
238#14556590—21no—
239#14556590—21no—
240#14556590—21no—
241#14556590C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556590C2311yescharacteristic
244#14556589—21no—
245#14556589—21no—
246#14556589C2311yescharacteristic
247#14556589C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556586—21no—
250#14556585—21no—
251#14556584—21no—
252#14556583—21no—
253#14556582—21no—
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556579C2311yescharacteristic
263#14556578C2311yescharacteristic
264#14556577—21no—
265#14556577—21no—
266#14556576—21no—
267#14556576—21no—
268#14556574—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556572—21no—
273#14556571—21no—
274#14556571C2311yescharacteristic
275#14556571C2311yescharacteristic
276#14556571C2311yescharacteristic
277#14556570—21no—
278#14556570—21no—
279#14556570—21no—
280#14556570C2311yescharacteristic
281#14556570C2311yescharacteristic
282#14556570C2311yescharacteristic
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556566C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556563—21no—
303#14556562—21no—
304#14556561—21no—
305#14556559—21no—
306#14556559—21no—
307#14556559—21no—
308Q8×Dic73—21no—
309Q8×Dic73C2311yescharacteristic
310C4×Dic146—21no—
311C4×Dic146—21no—
312C4×Dic146C2311yescharacteristic
313C4×Dic146C2311yescharacteristic
314#14556556—21no—
315#14556556—21no—
316#14556556—21no—
317#14556556—21no—
318#14556556—21no—
319#14556556—21no—
320#14556556—21no—
321#14556556—21no—
322#14556556D411yescharacteristic
323#14556556C2311yescharacteristic
324#14556556C2311yescharacteristic
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332C4×D292—21no—
333C4×D292C2311yescharacteristic
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73D411yescharacteristic
337D4×Dic73C2311yescharacteristic
338#14556553—21no—
339#14556553—21no—
340#14556553—21no—
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73C2311yescharacteristic
352C4×C22⋊D73C2311yescharacteristic
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551D411yescharacteristic
360#14556551D411yescharacteristic
361#14556549—21no—
362#14556549—21no—
363#14556549D411yescharacteristic
364#14556548—21no—
365#14556547—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547D411yescharacteristic
369#14556547D411yescharacteristic
370C2×#11924007—21no—
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73C2311yescharacteristic
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#123×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—41no—
485#11924027—24no—
486#11924027—82no—
487C2×Dic146—22no—
488C2×Dic146—22no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—41no—
496C2×Dic146—41no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502Q8×D73—22no—
503Q8×D73—41no—
504C2×D292—22no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—41no—
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73C2×D411yescharacteristic
516C2×C22⋊D73C2×D411yescharacteristic
517D4×D73—22no—
518D4×D73—41no—
519D4×D73—44no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73C2×D411yescharacteristic
524C22×Dic73C2×D411yescharacteristic
525C22×Dic73C2×D411yescharacteristic
526C22×Dic73C2×D411yescharacteristic
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—82no—
538C2×C4×D73—82no—
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2411yescharacteristic
542Dic292—22no—
543Dic292—22no—
544Dic292—41no—
545#11924018—41no—
546#11924017—22no—
547#11924017—22no—
548#11924017—22no—
549#11924017—22no—
550#11924017—41no—
551#11924017#4114yescomplemented
552#11924016—22no—
553#11924016—41no—
554#11924016—41no—
555#11924015—22no—
556#11924015—41no—
557#11924012—41no—
558C2×#10596831—41no—
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C8×D73—22no—
564C8×D73—41no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625C4×Dic73—21no—
626C4×Dic73—21no—
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×Dic73—21no—
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C2×Q8×C73—21no—
646C2×Q8×C73C2411yescharacteristic
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73C2×D411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73C2411yescharacteristic
656C22×C4×C73C2411yescharacteristic
657SD16×C73—22no—
658M16×C73—22no—
659C2×C8×C73—22no—
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C23×C73—21no—
692C23×C73C22×D411yescharacteristic
693C23×C73C22×D411yescharacteristic
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—42no—
697C22×D73—42no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—81no—
701C22×D73—81no—
702C22×D73C22×D411yescharacteristic
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—81no—
706D4×C73—22no—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—42no—
710D4×C73—81no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—81no—
723C2×C4×C73—81no—
724C2×C4×C73—81no—
725C2×C4×C73—81no—
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C2511yescharacteristic
731C22⋊D73—22no—
732C22⋊D73—42no—
733C22⋊D73—42no—
734C22⋊D73—42no—
735C22⋊D73—81no—
736C22⋊D73—81no—
737C22⋊D73#13714yescomplemented
738C2×Dic73—22no—
739C2×Dic73—21no—
740C2×Dic73—22no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—41no—
747C2×Dic73—41no—
748C2×Dic73—42no—
749C2×Dic73—42no—
750C2×Dic73—42no—
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758D292—21no—
759D292—21no—
760D292—21no—
761D292—42no—
762D292—42no—
763D292C2×#4112yes—
764C4×D73—22no—
765C4×D73—21no—
766C4×D73—21no—
767C4×D73—41no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—81no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777C4×D73—81no—
778Dic146—21no—
779Dic146—22no—
780Dic146—21no—
781Dic146—21no—
782Dic146—21no—
783Dic146—21no—
784Dic146—21no—
785Dic146—21no—
786Dic146—42no—
787Dic146—42no—
788Dic146—42no—
789Dic146—81no—
790Dic146—81no—
791Dic146—81no—
792Dic146C2×#4112yes—
793C8×C73—21no—
794C8×C73—21no—
795C8×C73—21no—
796C8×C73C2×#4112yes—
797#10596831—21no—
798#10596831—21no—
799#10596831—21no—
800#10596831—21no—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—21no—
804C22×C73—21no—
805C22×C73—21no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—41no—
809C22×C73C2×#13712yes—
810C22×C73C23×D411yescharacteristic
811C2×D73—21no—
812C2×D73—21no—
813C2×D73—22no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—84no—
820C2×D73—84no—
821C2×D73C2×#13712yes—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—21no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73C22×#4111yescharacteristic
834C4×C73#58511yescharacteristic
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—22no—
839Dic73—21no—
840Dic73—21no—
841Dic73—21no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845Dic73—41no—
846Dic73—41no—
847Dic73C2×#13712yes—
848#61453—731nomaximal, Sylow
849C2×C73—22no—
850C2×C73—41no—
851C2×C73—81no—
852C2×C73D4×#4111yescharacteristic
853C2×C73C22×#13711yescharacteristic
854C2×C73#358511yescharacteristic
855D73—22no—
856D73—42no—
857D73—81no—
858#3481—731no—
859Q8×#41—731no—
860#3400—731no—
861#3385—731no—
862#3375—731no—
863#3372—731no—
864#3346—731no—
865#3346D7311yescharacteristic, complemented
866#3338—731no—
867#3320—731no—
868#3320—731no—
869#3314—731no—
870#3314—731no—
871#3299—731no—
872#3295—731no—
873D4×SD16—731no—
874#3266—731no—
875#3266—731no—
876#3182—731no—
877#3181—731no—
878#3181—731no—
879#3117—731no—
880#3117—731no—
881#3116—731no—
882#3112—731no—
883#3110—731no—
884#3110—731no—
885#2970—731no—
886C4×#137—731no—
887C2×#440—731no—
888C2×#440—731no—
889C73#6145311yescharacteristic, complemented, Sylow
890C2×#137—731no—
891C22×SD16—731no—
892C22×SD16—731no—
893#559—731no—
894Q82—731no—
895#557—731no—
896#557—1461no—
897#554—731no—
898#554—731no—
899#554—731no—
900#554—731no—
901#554—1461no—
902#554—1461no—
903#554—1461no—
904#554C2×D7311yescharacteristic, complemented
905#553—731no—
906#553—1461no—
907#553C2×D7311yescharacteristic
908#551—1461no—
909#551—1461no—
910D4×Q8—731no—
911D4×Q8—731no—
912D4×Q8—731no—
913#546—731no—
914#546—731no—
915#546—1461no—
916D42—731no—
917#533—731no—
918#533—731no—
919#533—731no—
920#533—1461no—
921#533—1461no—
922#533—1461no—
923#532—731no—
924#529—731no—
925#529—731no—
926#529—1461no—
927#525—1461no—
928#525—1461no—
929C4×#41—731no—
930C4×#41—731no—
931C4×#41—1461no—
932C2×C4×Q8—731no—
933C2×C4×Q8—731no—
934C2×C4×Q8—731no—
935C2×C4×D4—731no—
936C2×C4×D4—731no—
937C2×C4×D4—1461no—
938#501—731no—
939#501C2×D7311yescharacteristic, complemented
940#500—731no—
941#497—731no—
942#497—731no—
943#492—731no—
944#491—731no—
945#491—731no—
946#489—731no—
947#489—731no—
948#487—731no—
949#486—731no—
950#485—731no—
951#485C2×D7311yescharacteristic, complemented
952#484—731no—
953#484—731no—
954#484—731no—
955#484—731no—
956#484—731no—
957#484C2×D7311yescharacteristic, complemented
958#481—731no—
959#481C2×D7311yescharacteristic
960#480—731no—
961#480C2×D7311yescharacteristic, complemented
962#479—731no—
963#479—731no—
964#479—731no—
965#479C2×D7311yescharacteristic, complemented
966#477—731no—
967#477—731no—
968#477—731no—
969#476—731no—
970#474—731no—
971#474—731no—
972#474—731no—
973#474C2×D7311yescharacteristic, complemented
974#468—731no—
975#468—731no—
976#468—731no—
977#468C2×D7311yescharacteristic, complemented
978#467—731no—
979#467—731no—
980#467—731no—
981#467—731no—
982#465—731no—
983#465—731no—
984#465—731no—
985#465C2×D7311yescharacteristic
986#464—731no—
987#464—731no—
988#464—731no—
989#464—731no—
990#462—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#461—731no—
996#460—731no—
997#460—731no—
998#452—731no—
999#452—731no—
1000#451—731no—
1001#451—731no—
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450—731no—
1006#448—731no—
1007#448—731no—
1008#448—731no—
1009#448—731no—
1010#446—731no—
1011#446—731no—
1012#441—731no—
1013#441—731no—
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026#440—731no—
1027#440—731no—
1028#440—731no—
1029#440—731no—
1030#440—731no—
1031#440—731no—
1032#440—731no—
1033#440—731no—
1034#440—731no—
1035#440C2×D7311yescharacteristic, complemented
1036C4×Q16—731no—
1037C4×Q16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435C2×D7311yescharacteristic, complemented
1044C8×D4—731no—
1045C8×D4—731no—
1046#432—731no—
1047#432—731no—
1048#432—731no—
1049#428C2×D7311yescharacteristic, complemented
1050C2×#107—731no—
1051C2×#107C2×D7311yescharacteristic, complemented
1052#419—731no—
1053#417—731no—
1054C2×#103—731no—
1055C2×#103—731no—
1056C2×#102—731no—
1057C2×#102—731no—
1058C4×M16—731no—
1059C2×#97—731no—
1060C2×#97—731no—
1061C2×#41—731no—
1062C2×#41—731no—
1063C2×#41—1461no—
1064C22×Q8—731no—
1065C22×Q8—731no—
1066C22×Q8—731no—
1067C22×D4—731no—
1068C22×D4—731no—
1069C22×D4—1461no—
1070C23×C4—1461no—
1071C23×C4—1461no—
1072#137—1464no—
1073C2×Q16—731no—
1074C2×Q16—731no—
1075C2×Q16—731no—
1076C2×Q16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16—731no—
1083C2×SD16—731no—
1084C2×SD16—731no—
1085C2×SD16—731no—
1086C2×SD16—731no—
1087C2×SD16—731no—
1088C2×SD16—1464no—
1089C2×SD16—1464no—
1090C2×SD16C22×D7311yescharacteristic
1091C2×M16—731no—
1092C2×M16C22×D7311yescharacteristic
1093C22×C8—731no—
1094C22×C8—731no—
1095C22×C8—731no—
1096C22×C8C22×D7311yescharacteristic
1097C4⋊Q8—731no—
1098C4⋊Q8—731no—
1099C4⋊Q8—731no—
1100C4⋊Q8—731no—
1101C4⋊Q8—731no—
1102C4⋊Q8—731no—
1103C4⋊Q8—1461no—
1104C4⋊Q8—1461no—
1105C4⋊Q8—1461no—
1106C4⋊Q8—1461no—
1107C4⋊Q8—1461no—
1108C4⋊Q8—1461no—
1109C4⋊Q8C22×D7311yescharacteristic
1110#127—731no—
1111#126—21no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#125—21no—
1116#125—731no—
1117#125—1461no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125C22×D7311yescharacteristic
1127#124—731no—
1128#124—731no—
1129#124—1461no—
1130#124—1461no—
1131#123—21no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136#123—1461no—
1137#123—1461no—
1138#123—1461no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—731no—
1146C22⋊Q8—731no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8C22×D7311yescharacteristic
1166C22⋊Q8C22×D7311yescharacteristic
1167#121—21no—
1168#121—731no—
1169#121—731no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121C22×D7311yescharacteristic
1176#121C22×D7311yescharacteristic
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—731no—
1188C4×Q8—731no—
1189C4×Q8—731no—
1190C4×Q8—731no—
1191C4×Q8—731no—
1192C4×Q8—731no—
1193C4×Q8—731no—
1194C4×Q8—1461no—
1195C4×Q8—1461no—
1196C4×Q8—1461no—
1197C4×Q8—1461no—
1198C4×Q8—1461no—
1199C4×Q8—1461no—
1200C4×Q8—1461no—
1201C4×Q8—1461no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8C22×D7311yescharacteristic
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—731no—
1240#117—731no—
1241#117—731no—
1242#117—1461no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117C22×D7311yescharacteristic
1249C2×C4⋊C4—731no—
1250C2×C4⋊C4—731no—
1251C2×C4⋊C4—1461no—
1252C2×C4⋊C4—1461no—
1253C2×C4⋊C4—1461no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4C22×D7311yescharacteristic
1256C2×C4⋊C4C22×D7311yescharacteristic
1257C2×C4⋊C4C22×D7311yescharacteristic
1258C2×C22⋊C4—1461no—
1259C2×C22⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C42—731no—
1263C2×C42—731no—
1264C2×C42—731no—
1265C2×C42—1461no—
1266C2×C42—1461no—
1267C2×C42—1461no—
1268C2×C42—1461no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107—731no—
1274#107—731no—
1275#107C22×D7311yescharacteristic
1276#107C22×D7311yescharacteristic
1277#107C22×D7311yescharacteristic
1278#107C22×D7311yescharacteristic
1279#107C22×D7311yescharacteristic
1280#107C22×D7311yescharacteristic
1281#106—731no—
1282#106C22×D7311yescharacteristic
1283#106C22×D7311yescharacteristic
1284#106C22×D7311yescharacteristic
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8—731no—
1289C4⋊C8—731no—
1290C4⋊C8C22×D7311yescharacteristic
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103—731no—
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103C22×D7311yescharacteristic
1309#103C22×D7311yescharacteristic
1310#103C22×D7311yescharacteristic
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102C22×D7311yescharacteristic
1321#102C22×D7311yescharacteristic
1322#102C22×D7311yescharacteristic
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327C22⋊C8C22×D7311yescharacteristic
1328C22⋊C8C22×D7311yescharacteristic
1329#97—731no—
1330#97—731no—
1331#97—731no—
1332#97—731no—
1333#97—731no—
1334#97—731no—
1335#97—731no—
1336#97C22×D7311yescharacteristic
1337C4×C8—731no—
1338C4×C8—731no—
1339C24—1461no—
1340C24—1461no—
1341#41—2921no—
1342#41—5842no—
1343#41—1462no—
1344#41—1464no—
1345C2×Q8—21no—
1346C2×Q8—2921no—
1347C2×Q8—2921no—
1348C2×Q8—2921no—
1349C2×Q8—731no—
1350C2×Q8—731no—
1351C2×Q8—731no—
1352C2×Q8—731no—
1353C2×Q8—731no—
1354C2×Q8—1462no—
1355C2×Q8—1462no—
1356C2×Q8—1461no—
1357C2×Q8—1461no—
1358C2×Q8—1461no—
1359C2×Q8—1461no—
1360C2×Q8—1462no—
1361C2×Q8—1461no—
1362C2×Q8—1461no—
1363C2×Q8C23×D7311yescharacteristic
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—2921no—
1367C2×D4—2924no—
1368C2×D4—2921no—
1369C2×D4—731no—
1370C2×D4—731no—
1371C2×D4—731no—
1372C2×D4—731no—
1373C2×D4—1461no—
1374C2×D4—1462no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1462no—
1379C2×D4—1461no—
1380C2×D4—1461no—
1381C2×D4—1461no—
1382C2×D4D4×D7311yescharacteristic
1383C2×D4C23×D7311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—5842no—
1389C22×C4—5842no—
1390C22×C4—731no—
1391C22×C4—731no—
1392C22×C4—731no—
1393C22×C4—731no—
1394C22×C4—731no—
1395C22×C4—731no—
1396C22×C4—731no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4C23×D7311yescharacteristic
1411C22×C4C23×D7311yescharacteristic
1412Q16—2921no—
1413Q16—2921no—
1414Q16—1462no—
1415Q16—1462no—
1416SD16—22no—
1417SD16—2921no—
1418SD16—2921no—
1419SD16—2921no—
1420SD16—2921no—
1421SD16—734no—
1422SD16—1462no—
1423SD16—1462no—
1424SD16—1462no—
1425SD16—1462no—
1426SD16—1462no—
1427SD16—1462no—
1428M16—22no—
1429M16—2921no—
1430C2×C8—22no—
1431C2×C8—2921no—
1432C2×C8—2921no—
1433C2×C8—731no—
1434C2×C8—731no—
1435C2×C8—731no—
1436C2×C8—731no—
1437C2×C8—1462no—
1438C2×C8C23×D7311yescharacteristic
1439C2×C8C23×D7311yescharacteristic
1440C2×C8C23×D7311yescharacteristic
1441C2×C8C23×D7311yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4D4×D7311yescharacteristic
1489C4⋊C4C23×D7311yescharacteristic
1490C4⋊C4C23×D7311yescharacteristic
1491C4⋊C4C23×D7311yescharacteristic
1492C4⋊C4C23×D7311yescharacteristic
1493C4⋊C4C23×D7311yescharacteristic
1494C4⋊C4C23×D7311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—731no—
1502C22⋊C4—731no—
1503C22⋊C4—731no—
1504C22⋊C4—731no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4D4×D7311yescharacteristic
1525C22⋊C4D4×D7311yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—731no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—731no—
1535C42—731no—
1536C42—731no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42—1461no—
1545C42—1461no—
1546C42—1461no—
1547C42—1461no—
1548C42C23×D7311yescharacteristic
1549C23—21no—
1550C23—2922no—
1551C23—2922no—
1552C23—2922no—
1553C23—2922no—
1554C23—5841no—
1555C23—5841no—
1556C23—731no—
1557C23—1461no—
1558C23—1461no—
1559C23C2×D4×D7311yescharacteristic
1560C23C2×D4×D7311yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—81no—
1564Q8—2922no—
1565Q8—2922no—
1566Q8—2922no—
1567Q8—5841no—
1568Q8—5841no—
1569Q8—5841no—
1570Q8—732no—
1571Q8—1462no—
1572Q8—1461no—
1573Q8—1461no—
1574Q8—1461no—
1575Q8—1461no—
1576Q8—1461no—
1577Q8—1461no—
1578Q8—1461no—
1579D4—22no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—81no—
1584D4—2922no—
1585D4—2922no—
1586D4—2922no—
1587D4—2922no—
1588D4—2922no—
1589D4—5841no—
1590D4—5841no—
1591D4—734no—
1592D4—732no—
1593D4—1462no—
1594D4—1461no—
1595D4—1461no—
1596D4—1461no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—2922no—
1613C2×C4—2921no—
1614C2×C4—2922no—
1615C2×C4—2922no—
1616C2×C4—2922no—
1617C2×C4—2922no—
1618C2×C4—2922no—
1619C2×C4—2922no—
1620C2×C4—2922no—
1621C2×C4—2921no—
1622C2×C4—2921no—
1623C2×C4—5841no—
1624C2×C4—5841no—
1625C2×C4—5841no—
1626C2×C4—5841no—
1627C2×C4—5841no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—731no—
1631C2×C4—731no—
1632C2×C4—731no—
1633C2×C4—731no—
1634C2×C4—731no—
1635C2×C4—1462no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4—1461no—
1640C2×C4—1461no—
1641C2×C4—1462no—
1642C2×C4—1462no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4C2×D4×D7311yescharacteristic
1647C2×C4C2×D4×D7311yescharacteristic
1648C2×C4C2×D4×D7311yescharacteristic
1649C2×C4C2×D4×D7311yescharacteristic
1650C2×C4C24×D7311yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—1461no—
1655C8—1461no—
1656C8—1461no—
1657C8—1461no—
1658C8#41×D7312yes—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—2921no—
1668C22—2921no—
1669C22—2921no—
1670C22—2921no—
1671C22—2921no—
1672C22—5844no—
1673C22—5844no—
1674C22—732no—
1675C22—1462no—
1676C22—1461no—
1677C22—1461no—
1678C22#137×D7312yes—
1679C22C22×D4×D7311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—2921no—
1692C4—2921no—
1693C4—2921no—
1694C4—2921no—
1695C4—2921no—
1696C4—732no—
1697C4—1461no—
1698C4—1461no—
1699C4—1462no—
1700C4—1461no—
1701C4—1461no—
1702C4—1461no—
1703C4—1461no—
1704C4C2×#41×D7311yescharacteristic
1705C4#1798942411yescharacteristic
1706C2—22no—
1707C2—41no—
1708C2—81no—
1709C2—2922no—
1710C2—5841no—
1711C2—1462no—
1712C2#2262341811yescharacteristic
1713C2C2×#137×D7311yescharacteristic
1714C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3346C2
socleC22×C73C23×D4
prime radical#22623538C2
hypercenter#3346D73
hypocenterC73#61453
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
2. #22623510C2semidirect
3. #22622985C2semidirect
4. #22622838C2semidirect
5. #22622748C2semidirect
6. #22622715C2semidirect
7. #22622417C2semidirect
8. #22622321C2semidirect
9. #22622105C2semidirect
10. #22622096C2semidirect
11. #22622015C2semidirect
12. #22622006C2semidirect
13. #22621805C2semidirect
14. #22621753C2semidirect
15. #22621624C2semidirect
16. #22621448C2semidirect
17. #22621446C2semidirect
18. #22620644C2semidirect
19. #22620642C2semidirect
20. #22620633C2semidirect
21. #22620107C2semidirect
22. #22620099C2semidirect
23. #22620088C2semidirect
24. #22620050C2semidirect
25. #22620032C2semidirect
26. #22620027C2semidirect
27. #22618941C2semidirect
28. #22618749C2semidirect
29. C2×#17988686C2semidirect
30. #440×D73C2semidirect
31. C73×#3346C2semidirect
36. #17989317C22semidirect
37. #17989315C22semidirect
43. #17989292C22semidirect
50. D4×Dic146C22semidirect
52. #17989250C22semidirect
58. #17989142C22semidirect
61. #17989139C22semidirect
62. #17989139C22semidirect
72. C2×#14556556C22semidirect
73. C2×#14556556C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988994C22semidirect
79. #17988991C22semidirect
80. #17988981C22semidirect
81. #17988978C22semidirect
83. #17988957C22semidirect
84. #17988954C22semidirect
85. #17988949C22semidirect
86. #17988945C22semidirect
87. #17988936C22semidirect
89. #17988928C22semidirect
90. #17988924C22semidirect
91. #17988924C22semidirect
92. #17988924C22semidirect
93. #17988922C22semidirect
94. #17988922C22semidirect
96. #17988900C22semidirect
97. #17988897C22semidirect
98. #17988897C22semidirect
99. #17988891C22semidirect
100. #17988881C22semidirect
101. #17988881C22semidirect
102. #17988881C22semidirect
105. #17988866C22semidirect
107. #17988835C22semidirect
108. #17988833C22semidirect
109. #17988831C22semidirect
110. #17988829C22semidirect
111. #17988829C22semidirect
112. #17988828C22semidirect
113. #17988826C22semidirect
117. #17988810C22semidirect
118. #17988809C22semidirect
119. #17988808C22semidirect
120. #17988808C22semidirect
121. #17988796C22semidirect
123. #17988792C22semidirect
126. #17988791C22semidirect
131. #17988745C22semidirect
132. #17988744C22semidirect
137. #17988728C22semidirect
140. #17988725C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
143. #17988693C22semidirect
144. #17988693C22semidirect
145. #17988693C22semidirect
146. #17988691C22semidirect
148. #17988690C22semidirect
150. #17988688C22semidirect
151. #17988687C22semidirect
157. #17988686C22semidirect
158. #17988686C22semidirect
159. #17988686C22semidirect
160. #17988686C22semidirect
161. #17988686C22semidirect
163. #17988684C22semidirect
164. #17988684C22semidirect
165. #17988684C22semidirect
166. #17988681C22semidirect
167. #17988681C22semidirect
170. #17988661C22semidirect
171. #17988659C22semidirect
172. #17988656C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #107×D73C22semidirect
179. #17988595C22semidirect
181. C2×#14556514C22semidirect
182. #103×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
188. #554×C73C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
194. #480×C73C22semidirect
195. #479×C73C22semidirect
196. #474×C73C22semidirect
197. #468×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#107×C73C22semidirect
551. #11924017#41semidirect
737. C22⋊D73#137semidirect
865. #3346D73semidirect
889. C73#61453semidirect
904. #554C2×D73semidirect
939. #501C2×D73semidirect
951. #485C2×D73semidirect
957. #484C2×D73semidirect
961. #480C2×D73semidirect
965. #479C2×D73semidirect
973. #474C2×D73semidirect
977. #468C2×D73semidirect
1035. #440C2×D73semidirect
1043. #435C2×D73semidirect
1049. #428C2×D73semidirect
1051. C2×#107C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235382
#226235102
#226229852
#226228382
#226227482
#226227152
#226224172
#226223212
#226221052
#226220962
#226220152
#226220062
#226218052
#226217532
#226216242
#226214482
#226214462
#226206442
#226206422
#226206332
#226201072
#226200992
#226200882
#226200502
#226200322
#226200272
#226189412
#226187492
C2×#179886862
#440×D732
C73×#33462
#6145373