Finite Group Databasebeta

← #33978736

Subgroups — #33978736

Order 18688.

1894 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#22623742C211yesmaximal, characteristic, complemented
2#22623538C211yesmaximal, characteristic
3#22622985C211yesmaximal, characteristic, complemented
4#22622979C211yesmaximal, characteristic, complemented
5#22622715C211yesmaximal, characteristic, complemented
6#22622709C211yesmaximal, characteristic, complemented
7#22622105C211yesmaximal, characteristic, complemented
8#22622103C211yesmaximal, characteristic, complemented
9#22622096C211yesmaximal, characteristic, complemented
10#22621805C211yesmaximal, characteristic, complemented
11#22621803C211yesmaximal, characteristic, complemented
12#22621624C211yesmaximal, characteristic, complemented
13#22621620C211yesmaximal, characteristic, complemented
14#22621448C211yesmaximal, characteristic, complemented
15#22621446C211yesmaximal, characteristic, complemented
16#22621444C211yesmaximal, characteristic, complemented
17#22621442C211yesmaximal, characteristic, complemented
18#22621313C211yesmaximal, characteristic, complemented
19#22621267C211yesmaximal, characteristic, complemented
20#22621261C211yesmaximal, characteristic, complemented
21#22620959C211yesmaximal, characteristic, complemented
22#22620956C211yesmaximal, characteristic, complemented
23#22620854C211yesmaximal, characteristic, complemented
24#22620028C211yesmaximal, characteristic, complemented
25#22620027C211yesmaximal, characteristic, complemented
26#22619997C211yesmaximal, characteristic, complemented
27#22619417C211yesmaximal, characteristic, complemented
28C2×#17988791C211yesmaximal, characteristic, complemented
29#461×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3320C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic
33C2×#14556622C2211yescharacteristic
34C22×#11924017C2211yescharacteristic
35C22×#11924015C2211yescharacteristic
36C2×SD16×D73C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic
38#17989320C2211yescharacteristic
39#17989317—21no—
40#17989315C2211yescharacteristic, complemented
41#17989312C2211yescharacteristic, complemented
42#17989296—21no—
43#17989293C2211yescharacteristic
44#17989292C2211yescharacteristic
45#17989291—21no—
46#17989291—21no—
47#17989282—21no—
48#17989281C2211yescharacteristic
49#17989266—21no—
50#17989262—21no—
51D4×Dic146C2211yescharacteristic, complemented
52Q8×C22⋊D73C2211yescharacteristic
53Q8×C22⋊D73C2211yescharacteristic, complemented
54#17989250C2211yescharacteristic
55#17989250C2211yescharacteristic, complemented
56#17989234C2211yescharacteristic
57#17989233C2211yescharacteristic
58#17989226—21no—
59#17989221C2211yescharacteristic
60#17989216—21no—
61#17989216—21no—
62#17989214—21no—
63#17989141C2211yescharacteristic, complemented
64#17989139C2211yescharacteristic, complemented
65#17989139C2211yescharacteristic, complemented
66#17989132C2211yescharacteristic
67C2×#14556589C2211yescharacteristic, complemented
68C2×#14556589C2211yescharacteristic, complemented
69C4⋊Q8×D73C2211yescharacteristic, complemented
70#17989122C2211yescharacteristic
71#17989120—21no—
72#17989118C2211yescharacteristic
73#17989097—21no—
74#17989095—21no—
75#17989066—21no—
76#17989055C2211yescharacteristic
77C4×#11924027C2211yescharacteristic
78C2×#14556553C2211yescharacteristic
79C4×D4×D73—21no—
80C4×D4×D73C2211yescharacteristic
81#17988981C2211yescharacteristic, complemented
82#17988979C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic, complemented
84#17988978C2211yescharacteristic, complemented
85#17988958C2211yescharacteristic
86#17988958C2211yescharacteristic
87#17988957C2211yescharacteristic, complemented
88#17988954C2211yescharacteristic, complemented
89#17988954C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988928C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988922C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988891C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic
103#17988866C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988835C2211yescharacteristic, complemented
106#17988833C2211yescharacteristic, complemented
107#17988831C2211yescharacteristic, complemented
108#17988829C2211yescharacteristic, complemented
109#17988828C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988826C2211yescharacteristic, complemented
112#17988819C2211yescharacteristic
113#17988817C2211yescharacteristic
114#17988814C2211yescharacteristic
115#17988810C2211yescharacteristic, complemented
116#17988809C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988807C2211yescharacteristic, complemented
119#17988796C2211yescharacteristic, complemented
120#17988796C2211yescharacteristic, complemented
121#17988796C2211yescharacteristic, complemented
122#17988796C2211yescharacteristic, complemented
123#17988796C2211yescharacteristic, complemented
124#17988793C2211yescharacteristic
125#17988792C2211yescharacteristic, complemented
126#17988791C2211yescharacteristic
127#17988791C2211yescharacteristic
128#17988791C2211yescharacteristic
129#17988791C2211yescharacteristic
130#17988791C2211yescharacteristic
131#17988791C2211yescharacteristic
132#17988791C2211yescharacteristic
133#17988791C2211yescharacteristic, complemented
134#17988791C2211yescharacteristic, complemented
135#17988791C2211yescharacteristic, complemented
136#17988791C2211yescharacteristic, complemented
137#17988791C2211yescharacteristic, complemented
138#17988790C2211yescharacteristic, complemented
139#17988790C2211yescharacteristic, complemented
140#17988790C2211yescharacteristic, complemented
141#17988789C2211yescharacteristic
142#17988786C2211yescharacteristic
143#17988785C2211yescharacteristic
144#17988751C2211yescharacteristic
145#17988747C2211yescharacteristic
146#17988745C2211yescharacteristic, complemented
147#17988744C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988743C2211yescharacteristic, complemented
150#17988740C2211yescharacteristic
151#17988739C2211yescharacteristic
152#17988737C2211yescharacteristic
153#17988736C2211yescharacteristic
154#17988728C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic
156#17988727C2211yescharacteristic
157#17988726C2211yescharacteristic, complemented
158#17988725C2211yescharacteristic
159#17988725C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988690C2211yescharacteristic
163#17988690C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic
165#17988687C2211yescharacteristic, complemented
166#17988686C2211yescharacteristic
167#17988686C2211yescharacteristic, complemented
168#17988685C2211yescharacteristic
169#17988681C2211yescharacteristic, complemented
170#17988679C2211yescharacteristic, complemented
171#17988674C2211yescharacteristic
172#17988672C2211yescharacteristic
173#17988661C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic, complemented
175#17988656C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic
177#17988650C2211yescharacteristic
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988595C2211yescharacteristic, complemented
185C2×#14556514C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#103×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189D4×Q8×C73C2211yescharacteristic, complemented
190#491×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic
196#461×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic
198#448×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027D411yescharacteristic
206C22×Dic146C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556624—42no—
216#14556622—42no—
217C2×Dic292C2311yescharacteristic
218C2×Dic292C2311yescharacteristic
219C2×Dic292C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924017—42no—
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924015—42no—
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×#11924015C2311yescharacteristic
239C2×#11924015C2311yescharacteristic
240SD16×D73—42no—
241SD16×D73—42no—
242C2×#11924012C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556591C2311yescharacteristic
247#14556590—21no—
248#14556590—21no—
249#14556590—21no—
250#14556590—21no—
251#14556590—21no—
252#14556590C2311yescharacteristic
253#14556590C2311yescharacteristic
254#14556589—21no—
255#14556589—21no—
256#14556589—21no—
257#14556589—21no—
258#14556589—21no—
259#14556589—21no—
260#14556589C2311yescharacteristic
261#14556589C2311yescharacteristic
262#14556589C2311yescharacteristic
263#14556589C2311yescharacteristic
264#14556589C2311yescharacteristic
265#14556589C2311yescharacteristic
266#14556589C2311yescharacteristic
267#14556587C2311yescharacteristic
268#14556586—21no—
269#14556585—21no—
270#14556584—21no—
271#14556583—21no—
272#14556582—21no—
273#14556582C2311yescharacteristic
274#14556581—21no—
275#14556581—21no—
276#14556581—21no—
277#14556581—21no—
278#14556581—21no—
279#14556581—21no—
280#14556581—21no—
281#14556581—21no—
282#14556579C2311yescharacteristic
283#14556578C2311yescharacteristic
284#14556577—21no—
285#14556577—21no—
286#14556576—21no—
287#14556576—21no—
288#14556574—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556572—21no—
293#14556571—21no—
294#14556571C2311yescharacteristic
295#14556571C2311yescharacteristic
296#14556570—21no—
297#14556570—21no—
298#14556570—21no—
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556570C2311yescharacteristic
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556569—21no—
307#14556569—21no—
308#14556568—21no—
309#14556568—21no—
310#14556568—21no—
311#14556568—21no—
312#14556568—21no—
313#14556568—21no—
314#14556567—21no—
315#14556567—21no—
316#14556567C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556565C2311yescharacteristic
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556563—21no—
323#14556562—21no—
324#14556561—21no—
325#14556559—21no—
326#14556559—21no—
327#14556559—21no—
328Q8×Dic73C2311yescharacteristic
329Q8×Dic73C2311yescharacteristic
330C4×Dic146—21no—
331C4×Dic146—21no—
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334#14556556—21no—
335#14556556—21no—
336#14556556—21no—
337#14556556D411yescharacteristic
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340#14556556C2311yescharacteristic
341#14556556C2311yescharacteristic
342C4×D292—21no—
343C4×D292C2311yescharacteristic
344D4×Dic73—21no—
345D4×Dic73—21no—
346D4×Dic73D411yescharacteristic
347D4×Dic73C2311yescharacteristic
348#14556553—21no—
349#14556553—21no—
350#14556553—21no—
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73C2311yescharacteristic
362C4×C22⋊D73C2311yescharacteristic
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551D411yescharacteristic
370#14556551D411yescharacteristic
371#14556549—21no—
372#14556549D411yescharacteristic
373#14556548—21no—
374#14556548—21no—
375#14556547—21no—
376#14556547—21no—
377#14556547—21no—
378#14556547D411yescharacteristic
379#14556547D411yescharacteristic
380C2×#11924007—21no—
381C2×#11924007—21no—
382C2×#11924007—21no—
383C2×#11924007—21no—
384C4⋊C4×D73—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C2×#11924005—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C2×C4×Dic73C2311yescharacteristic
393C2×C4×Dic73C2311yescharacteristic
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73—21no—
449C4⋊Q8×C73C2311yescharacteristic
450#126×C73—21no—
451#125×C73C2311yescharacteristic
452#123×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—22no—
487#11924028—41no—
488#11924027—24no—
489#11924027—82no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—41no—
497C2×Dic146—41no—
498C2×Dic146—41no—
499C2×Dic146—41no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505Q8×D73—41no—
506Q8×D73—41no—
507Q8×D73—41no—
508Q8×D73—41no—
509C2×D292—22no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—41no—
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73C2×D411yescharacteristic
521C2×C22⋊D73C2×D411yescharacteristic
522D4×D73—22no—
523D4×D73—41no—
524D4×D73—44no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C22×Dic73C2×D411yescharacteristic
531C22×Dic73C2×D411yescharacteristic
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—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—82no—
543C2×C4×D73—82no—
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547Dic292—41no—
548Dic292—41no—
549Dic292—41no—
550#11924018—41no—
551#11924018—41no—
552#11924018—41no—
553#11924017—22no—
554#11924017—22no—
555#11924017—22no—
556#11924017—41no—
557#11924017—41no—
558#11924017—41no—
559#11924016—41no—
560#11924016—41no—
561#11924016—41no—
562#11924015—22no—
563#11924015—22no—
564#11924015—22no—
565#11924015—41no—
566#11924015—41no—
567#11924015—41no—
568#11924012—41no—
569C2×#10596831—41no—
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C8×D73—41no—
575C8×D73—41no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007C2×D411yescharacteristic
614#11924007C2×D411yescharacteristic
615#11924007C2×D411yescharacteristic
616#11924007C2×D411yescharacteristic
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73C2×D411yescharacteristic
624C22⋊Dic73C2×D411yescharacteristic
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C2×Q8×C73—21no—
657C2×Q8×C73—21no—
658C2×Q8×C73—41no—
659C2×Q8×C73—41no—
660C2×Q8×C73—41no—
661C2×Q8×C73—41no—
662C2×Q8×C73C2411yescharacteristic
663C2×Q8×C73C2411yescharacteristic
664C2×Q8×C73C2411yescharacteristic
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73C2×D411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675SD16×C73—41no—
676SD16×C73—41no—
677SD16×C73—41no—
678M16×C73—41no—
679C2×C8×C73—41no—
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73C2×D411yescharacteristic
704C22⋊C4×C73C2×D411yescharacteristic
705C42×C73—21no—
706C42×C73—21no—
707C42×C73C2411yescharacteristic
708C23×C73—21no—
709C23×C73C22×D411yescharacteristic
710C23×C73C22×D411yescharacteristic
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—42no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—81no—
727Q8×C73—81no—
728D4×C73—22no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—42no—
732D4×C73—81no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—81no—
745C2×C4×C73—81no—
746C2×C4×C73—81no—
747C2×C4×C73—81no—
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C2511yescharacteristic
753C22⋊D73—22no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73#13714yescomplemented
760C2×Dic73—22no—
761C2×Dic73—22no—
762C2×Dic73—22no—
763C2×Dic73—22no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—42no—
771C2×Dic73—81no—
772C2×Dic73—81no—
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780D292—21no—
781D292—21no—
782D292—21no—
783D292—42no—
784D292—42no—
785D292H(5,𝔽2)12yes—
786C4×D73—22no—
787C4×D73—21no—
788C4×D73—21no—
789C4×D73—22no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800Dic146—22no—
801Dic146—21no—
802Dic146—21no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—42no—
810Dic146—81no—
811Dic146—81no—
812Dic146—81no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—21no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73C2×#13712yes—
832C22×C73C23×D411yescharacteristic
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—22no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—84no—
843C2×D73C2×#13712yes—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73C2×H(5,𝔽2)11yescharacteristic
856C4×C73#58511yescharacteristic
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868Dic73C2×#13712yes—
869Dic73#57712yes—
870#61980—731nomaximal, Sylow
871C2×C73—22no—
872C2×C73—41no—
873C2×C73—81no—
874C2×C73#348811yescharacteristic
875C2×C73C22×#13711yescharacteristic
876C2×C73C2×#57711yescharacteristic
877D73—22no—
878D73—42no—
879D73—81no—
880#3503—731no—
881#3481—731no—
882#3400—731no—
883#3400—731no—
884#3372—731no—
885#3372—731no—
886#3320—731no—
887#3320—731no—
888#3320—731no—
889#3320D7311yescharacteristic, complemented
890#3299—731no—
891#3299—731no—
892D4×SD16—731no—
893D4×SD16—731no—
894#3266—731no—
895#3266—731no—
896#3266—731no—
897#3266—731no—
898#3254—731no—
899#3248—731no—
900#3248—731no—
901#3218—731no—
902#3218—731no—
903#3206—731no—
904#3110—731no—
905#3110—731no—
906#3107—731no—
907#3039—731no—
908C2×#461—731no—
909C2×#461—731no—
910#2990—731no—
911C73#6198011yescharacteristic, complemented, Sylow
912C2×#137—731no—
913C2×#137—731no—
914C22×SD16—731no—
915C22×SD16—731no—
916C22×SD16—731no—
917C22×SD16—731no—
918#559—731no—
919Q82—1461no—
920#557—731no—
921#557—731no—
922#554—731no—
923#554—731no—
924#554—1461no—
925#554—1461no—
926#554—1461no—
927#553—731no—
928#553—1461no—
929#553C2×D7311yescharacteristic
930#551—1461no—
931#551—1461no—
932D4×Q8—731no—
933D4×Q8—731no—
934D4×Q8—731no—
935D4×Q8—731no—
936D4×Q8—731no—
937D4×Q8C2×D7311yescharacteristic, complemented
938#546—731no—
939#546—731no—
940#546—1461no—
941D42—731no—
942#544—1461no—
943#544—1461no—
944#544—1461no—
945#533—731no—
946#533—731no—
947#533—731no—
948#532—731no—
949C2×C4⋊Q8—731no—
950C2×C4⋊Q8—731no—
951C2×C4⋊Q8—731no—
952#529—731no—
953#529—731no—
954#529—1461no—
955#525—1461no—
956#525—1461no—
957#520—1461no—
958C4×#41—731no—
959C4×#41—731no—
960C2×C4×D4—731no—
961C2×C4×D4—731no—
962C2×C4×D4—1461no—
963#497—731no—
964#497—731no—
965#497—731no—
966#497—731no—
967#492—731no—
968#492—731no—
969#491—731no—
970#491—731no—
971#491—731no—
972#491C2×D7311yescharacteristic, complemented
973#487—731no—
974#487—731no—
975#485—731no—
976#485C2×D7311yescharacteristic, complemented
977#484—731no—
978#484—731no—
979#484—731no—
980#484C2×D7311yescharacteristic, complemented
981#479—731no—
982#479—731no—
983#479—731no—
984#479C2×D7311yescharacteristic, complemented
985#477—731no—
986#477—731no—
987#475—731no—
988#474—731no—
989#474—731no—
990#474—731no—
991#468—731no—
992#468—731no—
993#468—731no—
994#468C2×D7311yescharacteristic, complemented
995#467—731no—
996#467—731no—
997#467—731no—
998#467—731no—
999#465—731no—
1000#465—731no—
1001#465—731no—
1002#465C2×D7311yescharacteristic
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#462—731no—
1008#462—731no—
1009#462—731no—
1010#462—731no—
1011#462—731no—
1012#461—731no—
1013#461—731no—
1014#461—731no—
1015#461—731no—
1016#461—731no—
1017#461—731no—
1018#461—731no—
1019#461—731no—
1020#461—731no—
1021#461—731no—
1022#461—731no—
1023#461—731no—
1024#461—731no—
1025#461—731no—
1026#461—731no—
1027#461—731no—
1028#461—731no—
1029#461—731no—
1030#461C2×D7311yescharacteristic, complemented
1031#460—731no—
1032#460—731no—
1033#452—731no—
1034#452—731no—
1035#451—731no—
1036#451—731no—
1037#451—731no—
1038#451—731no—
1039#450—731no—
1040#450—731no—
1041#450—731no—
1042#450—731no—
1043#448—731no—
1044#448—731no—
1045#448—731no—
1046#448—731no—
1047#448—731no—
1048#448—731no—
1049#448C2×D7311yescharacteristic
1050#448C2×D7311yescharacteristic, complemented
1051#446—731no—
1052#446—731no—
1053#440—731no—
1054#440—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059#440—731no—
1060#440C2×D7311yescharacteristic, complemented
1061C4×Q16—731no—
1062C4×Q16—731no—
1063C4×SD16—731no—
1064C4×SD16—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435C2×D7311yescharacteristic, complemented
1069C8×D4—731no—
1070C8×D4—731no—
1071#432—731no—
1072#432—731no—
1073#431—731no—
1074#423—731no—
1075C2×C4⋊C8—731no—
1076C2×C4⋊C8—731no—
1077#419—731no—
1078#419C2×D7311yescharacteristic, complemented
1079C2×#103—731no—
1080C2×#103—731no—
1081C2×#103—731no—
1082C2×#103C2×D7311yescharacteristic, complemented
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C22×Q8—731no—
1087C22×Q8—731no—
1088C22×Q8—731no—
1089C22×Q8—731no—
1090C22×Q8C22×D7311yescharacteristic
1091C22×Q8C22×D7311yescharacteristic
1092C22×D4—731no—
1093C22×D4—731no—
1094C22×D4—1461no—
1095C23×C4—1461no—
1096C23×C4—1461no—
1097#137—2922no—
1098#137—2922no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×Q16—731no—
1104C2×Q16—731no—
1105C2×SD16—2922no—
1106C2×SD16—2922no—
1107C2×SD16—2922no—
1108C2×SD16—2922no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16C22×D7311yescharacteristic
1125C2×SD16C22×D7311yescharacteristic
1126C2×SD16C22×D7311yescharacteristic
1127C2×M16—731no—
1128C2×M16C22×D7311yescharacteristic
1129C22×C8—731no—
1130C22×C8—731no—
1131C22×C8—731no—
1132C22×C8C22×D7311yescharacteristic
1133C4⋊Q8—21no—
1134C4⋊Q8—731no—
1135C4⋊Q8—731no—
1136C4⋊Q8—731no—
1137C4⋊Q8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—731no—
1141C4⋊Q8—731no—
1142C4⋊Q8—731no—
1143C4⋊Q8—731no—
1144C4⋊Q8—1461no—
1145C4⋊Q8—1461no—
1146C4⋊Q8—1461no—
1147C4⋊Q8—1461no—
1148C4⋊Q8—1461no—
1149C4⋊Q8—1461no—
1150C4⋊Q8—1461no—
1151C4⋊Q8—1461no—
1152C4⋊Q8—1461no—
1153C4⋊Q8—1461no—
1154C4⋊Q8—1461no—
1155C4⋊Q8C22×D7311yescharacteristic
1156#127—731no—
1157#126—21no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#125—731no—
1162#125—1461no—
1163#125—1461no—
1164#125—1461no—
1165#125—1461no—
1166#125—1461no—
1167#125—1461no—
1168#125—1461no—
1169#125—1461no—
1170#125—1461no—
1171#125—1461no—
1172#125C22×D7311yescharacteristic
1173#124—731no—
1174#124—731no—
1175#124—1461no—
1176#124—1461no—
1177#123—21no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185C22⋊Q8—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—731no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—731no—
1192C22⋊Q8—731no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8C22×D7311yescharacteristic
1212C22⋊Q8C22×D7311yescharacteristic
1213#121—21no—
1214#121—731no—
1215#121—731no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121C22×D7311yescharacteristic
1222#121C22×D7311yescharacteristic
1223#120—1461no—
1224#120—1461no—
1225#120—1461no—
1226#120—1461no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4C22×D7311yescharacteristic
1274C4×D4C22×D7311yescharacteristic
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117C22×D7311yescharacteristic
1285C2×C4⋊C4—731no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C4⋊C4—1461no—
1289C2×C4⋊C4—1461no—
1290C2×C4⋊C4—1461no—
1291C2×C4⋊C4—1461no—
1292C2×C4⋊C4—1461no—
1293C2×C4⋊C4C22×D7311yescharacteristic
1294C2×C22⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C42—731no—
1299C2×C42—731no—
1300C2×C42—731no—
1301C2×C42—1461no—
1302#107—731no—
1303#107—731no—
1304#107—731no—
1305#107—731no—
1306#107C22×D7311yescharacteristic
1307#107C22×D7311yescharacteristic
1308#106—731no—
1309#106C22×D7311yescharacteristic
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8C22×D7311yescharacteristic
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103C22×D7311yescharacteristic
1338#103C22×D7311yescharacteristic
1339#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
1343#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102C22×D7311yescharacteristic
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356C22⋊C8C22×D7311yescharacteristic
1357C22⋊C8C22×D7311yescharacteristic
1358#97—731no—
1359#97—731no—
1360#97—731no—
1361#97C22×D7311yescharacteristic
1362C4×C8—731no—
1363C4×C8—731no—
1364C24—1461no—
1365C24—1461no—
1366#41—2921no—
1367#41—5842no—
1368#41—1462no—
1369#41—1464no—
1370C2×Q8—21no—
1371C2×Q8—21no—
1372C2×Q8—41no—
1373C2×Q8—41no—
1374C2×Q8—41no—
1375C2×Q8—41no—
1376C2×Q8—2921no—
1377C2×Q8—2921no—
1378C2×Q8—2921no—
1379C2×Q8—2921no—
1380C2×Q8—2921no—
1381C2×Q8—2921no—
1382C2×Q8—2921no—
1383C2×Q8—2921no—
1384C2×Q8—731no—
1385C2×Q8—731no—
1386C2×Q8—731no—
1387C2×Q8—731no—
1388C2×Q8—731no—
1389C2×Q8—1461no—
1390C2×Q8—1461no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8—1461no—
1395C2×Q8C23×D7311yescharacteristic
1396C2×Q8C23×D7311yescharacteristic
1397C2×Q8C23×D7311yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—2921no—
1401C2×D4—2924no—
1402C2×D4—2921no—
1403C2×D4—731no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—1461no—
1408C2×D4—1462no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1462no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4D4×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—5842no—
1423C22×C4—5842no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—731no—
1429C22×C4—731no—
1430C22×C4—731no—
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—
1444C22×C4C23×D7311yescharacteristic
1445C22×C4C23×D7311yescharacteristic
1446Q16—2921no—
1447Q16—2921no—
1448Q16—2921no—
1449Q16—2921no—
1450Q16—2921no—
1451Q16—2921no—
1452SD16—41no—
1453SD16—41no—
1454SD16—41no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—2921no—
1458SD16—2921no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—1462no—
1465SD16—1462no—
1466SD16—1462no—
1467SD16—1462no—
1468SD16—1462no—
1469SD16—1462no—
1470M16—41no—
1471M16—2921no—
1472C2×C8—41no—
1473C2×C8—2921no—
1474C2×C8—2921no—
1475C2×C8—2921no—
1476C2×C8—731no—
1477C2×C8—731no—
1478C2×C8—731no—
1479C2×C8—731no—
1480C2×C8C23×D7311yescharacteristic
1481C2×C8C23×D7311yescharacteristic
1482C2×C8C23×D7311yescharacteristic
1483C2×C8C23×D7311yescharacteristic
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4D4×D7311yescharacteristic
1534C4⋊C4C23×D7311yescharacteristic
1535C4⋊C4C23×D7311yescharacteristic
1536C4⋊C4C23×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—731no—
1545C22⋊C4—731no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4D4×D7311yescharacteristic
1568C22⋊C4D4×D7311yescharacteristic
1569C42—21no—
1570C42—21no—
1571C42—731no—
1572C42—731no—
1573C42—731no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42C23×D7311yescharacteristic
1588C23—21no—
1589C23—2922no—
1590C23—2922no—
1591C23—2922no—
1592C23—2922no—
1593C23—5841no—
1594C23—5841no—
1595C23—731no—
1596C23—1461no—
1597C23—1461no—
1598C23C2×D4×D7311yescharacteristic
1599C23C2×D4×D7311yescharacteristic
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—81no—
1608Q8—2922no—
1609Q8—5841no—
1610Q8—5841no—
1611Q8—5841no—
1612Q8—5841no—
1613Q8—5841no—
1614Q8—1462no—
1615Q8—1461no—
1616Q8—1461no—
1617Q8—1461no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623D4—22no—
1624D4—21no—
1625D4—21no—
1626D4—42no—
1627D4—81no—
1628D4—2922no—
1629D4—2922no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—5841no—
1634D4—5841no—
1635D4—734no—
1636D4—732no—
1637D4—1462no—
1638D4—1461no—
1639D4—1461no—
1640D4—1461no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—2922no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—2922no—
1660C2×C4—2922no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—5841no—
1668C2×C4—5841no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—731no—
1674C2×C4—731no—
1675C2×C4—731no—
1676C2×C4—1462no—
1677C2×C4—1462no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4—1461no—
1684C2×C4—1462no—
1685C2×C4—1462no—
1686C2×C4—1462no—
1687C2×C4—1462no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4C2×D4×D7311yescharacteristic
1691C2×C4C2×D4×D7311yescharacteristic
1692C2×C4C2×D4×D7311yescharacteristic
1693C2×C4C2×D4×D7311yescharacteristic
1694C2×C4C24×D7311yescharacteristic
1695C8—21no—
1696C8—21no—
1697C8—21no—
1698C8—21no—
1699C8—1461no—
1700C8—1461no—
1701C8—1461no—
1702C8—1461no—
1703C22—21no—
1704C22—21no—
1705C22—21no—
1706C22—21no—
1707C22—21no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—5844no—
1717C22—5844no—
1718C22—732no—
1719C22—1462no—
1720C22—1461no—
1721C22—1461no—
1722C22#137×D7312yes—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—2921no—
1741C4—732no—
1742C4—732no—
1743C4—1461no—
1744C4—1461no—
1745C4—1461no—
1746C4—1461no—
1747C4—1461no—
1748C4H(5,𝔽2)×D7311yescharacteristic
1749C4#1798942311yescharacteristic
1750C2—22no—
1751C2—41no—
1752C2—81no—
1753C2—2922no—
1754C2—5841no—
1755C2—1462no—
1756C2#2262359411yescharacteristic
1757C2C2×#137×D7311yescharacteristic
1758C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3320C2
socleC22×C73C23×D4
prime radical#22623538C2
hypercenter#3320D73
hypocenterC73#61980
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. #22623742C2semidirect
3. #22622985C2semidirect
4. #22622979C2semidirect
5. #22622715C2semidirect
6. #22622709C2semidirect
7. #22622105C2semidirect
8. #22622103C2semidirect
9. #22622096C2semidirect
10. #22621805C2semidirect
11. #22621803C2semidirect
12. #22621624C2semidirect
13. #22621620C2semidirect
14. #22621448C2semidirect
15. #22621446C2semidirect
16. #22621444C2semidirect
17. #22621442C2semidirect
18. #22621313C2semidirect
19. #22621267C2semidirect
20. #22621261C2semidirect
21. #22620959C2semidirect
22. #22620956C2semidirect
23. #22620854C2semidirect
24. #22620028C2semidirect
25. #22620027C2semidirect
26. #22619997C2semidirect
27. #22619417C2semidirect
28. C2×#17988791C2semidirect
29. #461×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3320C2semidirect
40. #17989315C22semidirect
41. #17989312C22semidirect
51. D4×Dic146C22semidirect
53. Q8×C22⋊D73C22semidirect
55. #17989250C22semidirect
63. #17989141C22semidirect
64. #17989139C22semidirect
65. #17989139C22semidirect
67. C2×#14556589C22semidirect
68. C2×#14556589C22semidirect
69. C4⋊Q8×D73C22semidirect
81. #17988981C22semidirect
82. #17988979C22semidirect
83. #17988978C22semidirect
84. #17988978C22semidirect
87. #17988957C22semidirect
88. #17988954C22semidirect
89. #17988954C22semidirect
90. #17988936C22semidirect
91. #17988936C22semidirect
92. #17988928C22semidirect
93. #17988924C22semidirect
94. #17988922C22semidirect
95. #17988921C22semidirect
96. #17988897C22semidirect
97. #17988896C22semidirect
98. #17988891C22semidirect
99. #17988881C22semidirect
100. #17988880C22semidirect
101. #17988871C22semidirect
103. #17988866C22semidirect
104. #17988865C22semidirect
105. #17988835C22semidirect
106. #17988833C22semidirect
107. #17988831C22semidirect
108. #17988829C22semidirect
109. #17988828C22semidirect
110. #17988827C22semidirect
111. #17988826C22semidirect
115. #17988810C22semidirect
116. #17988809C22semidirect
117. #17988808C22semidirect
118. #17988807C22semidirect
119. #17988796C22semidirect
120. #17988796C22semidirect
121. #17988796C22semidirect
122. #17988796C22semidirect
123. #17988796C22semidirect
125. #17988792C22semidirect
133. #17988791C22semidirect
134. #17988791C22semidirect
135. #17988791C22semidirect
136. #17988791C22semidirect
137. #17988791C22semidirect
138. #17988790C22semidirect
139. #17988790C22semidirect
140. #17988790C22semidirect
146. #17988745C22semidirect
147. #17988744C22semidirect
148. #17988744C22semidirect
149. #17988743C22semidirect
154. #17988728C22semidirect
157. #17988726C22semidirect
159. #17988725C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
163. #17988690C22semidirect
165. #17988687C22semidirect
167. #17988686C22semidirect
169. #17988681C22semidirect
170. #17988679C22semidirect
173. #17988661C22semidirect
174. #17988659C22semidirect
175. #17988656C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988595C22semidirect
185. C2×#14556514C22semidirect
186. #103×D73C22semidirect
187. #103×D73C22semidirect
189. D4×Q8×C73C22semidirect
190. #491×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #479×C73C22semidirect
194. #468×C73C22semidirect
196. #461×C73C22semidirect
198. #448×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #419×C73C22semidirect
202. C2×#103×C73C22semidirect
759. C22⋊D73#137semidirect
889. #3320D73semidirect
911. C73#61980semidirect
937. D4×Q8C2×D73semidirect
972. #491C2×D73semidirect
976. #485C2×D73semidirect
980. #484C2×D73semidirect
984. #479C2×D73semidirect
994. #468C2×D73semidirect
1030. #461C2×D73semidirect
1050. #448C2×D73semidirect
1060. #440C2×D73semidirect
1068. #435C2×D73semidirect
1078. #419C2×D73semidirect
1082. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237422
#226235382
#226229852
#226229792
#226227152
#226227092
#226221052
#226221032
#226220962
#226218052
#226218032
#226216242
#226216202
#226214482
#226214462
#226214442
#226214422
#226213132
#226212672
#226212612
#226209592
#226209562
#226208542
#226200282
#226200272
#226199972
#226194172
C2×#179887912
#461×D732
#226190512
C73×#33202
#6198073