Finite Group Databasebeta

← #33978309

Subgroups — #33978309

Order 18688.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623742C211yesmaximal, characteristic, complemented
2#22623496C211yesmaximal, characteristic
3#22622963C211yesmaximal, characteristic, complemented
4#22622957C211yesmaximal, characteristic, complemented
5#22622715C211yesmaximal, characteristic, complemented
6#22622709C211yesmaximal, characteristic, complemented
7#22622223C211yesmaximal, characteristic, complemented
8#22622221C211yesmaximal, characteristic, complemented
9#22621980C211yesmaximal, characteristic, complemented
10#22621978C211yesmaximal, characteristic, complemented
11#22621976C211yesmaximal, characteristic, complemented
12#22621574C211yesmaximal, characteristic, complemented
13#22621570C211yesmaximal, characteristic, complemented
14#22621446C211yesmaximal, characteristic, complemented
15#22621442C211yesmaximal, characteristic, complemented
16#22621438C211yesmaximal, characteristic, complemented
17#22621434C211yesmaximal, characteristic, complemented
18#22621303C211yesmaximal, characteristic, complemented
19#22621299C211yesmaximal, characteristic, complemented
20#22621272C211yesmaximal, characteristic, complemented
21#22620961C211yesmaximal, characteristic, complemented
22#22620959C211yesmaximal, characteristic, complemented
23#22620877C211yesmaximal, characteristic, complemented
24#22620091C211yesmaximal, characteristic, complemented
25#22620088C211yesmaximal, characteristic, complemented
26#22619936C211yesmaximal, characteristic, complemented
27#22619417C211yesmaximal, characteristic, complemented
28#22619415C211yesmaximal, characteristic, complemented
29C2×#17988791C211yesmaximal, characteristic, complemented
30#22619043C211yesmaximal, characteristic, complemented
31C73×#3312C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic
33C2×#14556623C2211yescharacteristic
34C2×#14556623C2211yescharacteristic
35C2×#14556622C2211yescharacteristic
36C22×#11924017C2211yescharacteristic
37C22×#11924015C2211yescharacteristic
38#17989317—21no—
39#17989315C2211yescharacteristic, complemented
40#17989312C2211yescharacteristic, complemented
41#17989309C2211yescharacteristic
42#17989300C2211yescharacteristic
43#17989296—21no—
44#17989293C2211yescharacteristic
45#17989291—21no—
46#17989291—21no—
47#17989288—21no—
48#17989272C2211yescharacteristic
49#17989269—21no—
50#17989261—21no—
51#17989260—21no—
52D4×Dic146C2211yescharacteristic
53Q8×C22⋊D73C2211yescharacteristic
54Q8×C22⋊D73C2211yescharacteristic, complemented
55#17989250C2211yescharacteristic
56#17989250C2211yescharacteristic, complemented
57#17989239C2211yescharacteristic
58#17989233C2211yescharacteristic
59#17989228C2211yescharacteristic
60#17989216—21no—
61#17989216—21no—
62#17989214—21no—
63#17989141C2211yescharacteristic, complemented
64#17989139C2211yescharacteristic
65#17989139C2211yescharacteristic
66#17989139C2211yescharacteristic, complemented
67C2×#14556589C2211yescharacteristic
68C2×#14556589C2211yescharacteristic, complemented
69C4⋊Q8×D73C2211yescharacteristic, complemented
70#17989123C2211yescharacteristic
71#17989122—21no—
72#17989122C2211yescharacteristic
73#17989120—21no—
74#17989095—21no—
75#17989066—21no—
76C4×#11924029C2211yescharacteristic
77#17989055C2211yescharacteristic
78C4×#11924027C2211yescharacteristic
79C2×#14556553C2211yescharacteristic
80#117×D73—21no—
81#17988981C2211yescharacteristic
82#17988980C2211yescharacteristic
83#17988980C2211yescharacteristic
84#17988979C2211yescharacteristic
85#17988965C2211yescharacteristic, complemented
86#17988965C2211yescharacteristic, complemented
87#17988957C2211yescharacteristic, complemented
88#17988954C2211yescharacteristic, complemented
89#17988954C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988931C2211yescharacteristic, complemented
93#17988928C2211yescharacteristic, complemented
94#17988927C2211yescharacteristic, complemented
95#17988917C2211yescharacteristic
96#17988897C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988891C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988880C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic
104#17988876C2211yescharacteristic
105#17988846C2211yescharacteristic, complemented
106#17988844C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic
109#17988835C2211yescharacteristic
110#17988834C2211yescharacteristic
111#17988833C2211yescharacteristic
112#17988828C2211yescharacteristic
113#17988826C2211yescharacteristic
114#17988826C2211yescharacteristic
115#17988812C2211yescharacteristic
116#17988811C2211yescharacteristic
117#17988810C2211yescharacteristic
118#17988809C2211yescharacteristic
119#17988797C2211yescharacteristic, complemented
120#17988796C2211yescharacteristic, complemented
121#17988796C2211yescharacteristic, complemented
122#17988796C2211yescharacteristic, complemented
123#17988796C2211yescharacteristic, complemented
124#17988796C2211yescharacteristic, complemented
125#17988796C2211yescharacteristic, complemented
126#17988795C2211yescharacteristic, complemented
127#17988795C2211yescharacteristic, complemented
128#17988795C2211yescharacteristic, complemented
129#17988795C2211yescharacteristic, complemented
130#17988793C2211yescharacteristic
131#17988791C2211yescharacteristic
132#17988791C2211yescharacteristic
133#17988791C2211yescharacteristic
134#17988791C2211yescharacteristic
135#17988791C2211yescharacteristic
136#17988791C2211yescharacteristic
137#17988791C2211yescharacteristic
138#17988791C2211yescharacteristic
139#17988791C2211yescharacteristic
140#17988791C2211yescharacteristic
141#17988791C2211yescharacteristic
142#17988791C2211yescharacteristic
143#17988789C2211yescharacteristic
144#17988752C2211yescharacteristic
145#17988751C2211yescharacteristic
146#17988748C2211yescharacteristic
147#17988747C2211yescharacteristic
148#17988745C2211yescharacteristic
149#17988744C2211yescharacteristic, complemented
150#17988744C2211yescharacteristic, complemented
151#17988743C2211yescharacteristic
152#17988742C2211yescharacteristic
153#17988742C2211yescharacteristic, complemented
154#17988740C2211yescharacteristic
155#17988737C2211yescharacteristic
156#17988728C2211yescharacteristic
157#17988727C2211yescharacteristic
158#17988727C2211yescharacteristic
159#17988726C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988693C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988691C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic
166#17988689C2211yescharacteristic
167#17988686C2211yescharacteristic
168#17988685C2211yescharacteristic
169#17988674C2211yescharacteristic
170#17988674C2211yescharacteristic
171#17988672C2211yescharacteristic
172#17988672C2211yescharacteristic
173#17988663C2211yescharacteristic, complemented
174#17988662C2211yescharacteristic, complemented
175#17988659C2211yescharacteristic
176#17988658C2211yescharacteristic
177#17988655C2211yescharacteristic
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic
181#17988610C2211yescharacteristic, complemented
182#17988609C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic
184#17988595C2211yescharacteristic, complemented
185#17988594C2211yescharacteristic, complemented
186#17988594C2211yescharacteristic, complemented
187C2×#14556514C2211yescharacteristic
188#552×C73C2211yescharacteristic
189D4×Q8×C73C2211yescharacteristic
190#491×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic
193#479×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#467×C73C2211yescharacteristic
196#462×C73C2211yescharacteristic, complemented
197#451×C73C2211yescharacteristic
198#451×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#419×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027D411yescharacteristic
206C22×Dic146C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×C4×D73—21no—
212#14556624—42no—
213#14556623—42no—
214#14556623—42no—
215#14556622—42no—
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×Dic292C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924017—42no—
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924015—42no—
233C2×#11924015C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×#11924015C2311yescharacteristic
239C2×#11924012C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243#14556591C2311yescharacteristic
244#14556590—21no—
245#14556590—21no—
246#14556590—21no—
247#14556590—21no—
248#14556590—21no—
249#14556590C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556589—21no—
252#14556589—21no—
253#14556589—21no—
254#14556589—21no—
255#14556589—21no—
256#14556589—21no—
257#14556589C2311yescharacteristic
258#14556589C2311yescharacteristic
259#14556589C2311yescharacteristic
260#14556589C2311yescharacteristic
261#14556589C2311yescharacteristic
262#14556589C2311yescharacteristic
263#14556589C2311yescharacteristic
264#14556589C2311yescharacteristic
265#14556586—21no—
266#14556586—21no—
267#14556586—21no—
268#14556586—21no—
269#14556585—21no—
270#14556583—21no—
271#14556582—21no—
272#14556582C2311yescharacteristic
273#14556581—21no—
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#14556580C2311yescharacteristic
283#14556579—21no—
284#14556579C2311yescharacteristic
285#14556577—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556575—21no—
291#14556574—21no—
292#14556573—21no—
293#14556571—21no—
294#14556571C2311yescharacteristic
295#14556571C2311yescharacteristic
296#14556570—21no—
297#14556570—21no—
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556569—21no—
307#14556568—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#14556566—21no—
318#14556566C2311yescharacteristic
319#14556565C2311yescharacteristic
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556561—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333#14556556—21no—
334#14556556—21no—
335#14556556—21no—
336#14556556D411yescharacteristic
337#14556556C2311yescharacteristic
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340#14556556C2311yescharacteristic
341C4×D292—21no—
342C4×D292C2311yescharacteristic
343D4×Dic73—21no—
344D4×Dic73D411yescharacteristic
345#14556553—21no—
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551D411yescharacteristic
364#14556551D411yescharacteristic
365#14556550—21no—
366#14556549—21no—
367#14556549—21no—
368#14556549—21no—
369#14556549D411yescharacteristic
370#14556549C2311yescharacteristic
371#14556548—21no—
372#14556548—21no—
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×D73—21no—
388C2×#11924005—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C2×C4×Dic73C2311yescharacteristic
392C2×C4×Dic73C2311yescharacteristic
393C42×D73—21no—
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556522C2311yescharacteristic
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#14556515C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556514C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556513C2311yescharacteristic
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×Q16×C73C2311yescharacteristic
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73—21no—
449C4⋊Q8×C73C2311yescharacteristic
450#126×C73—21no—
451#125×C73—21no—
452#125×C73C2311yescharacteristic
453#123×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73—21no—
456C22⋊Q8×C73C2311yescharacteristic
457C22⋊Q8×C73C2311yescharacteristic
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464#117×C73—21no—
465#117×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×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#103×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—22no—
486#11924029—41no—
487#11924028—22no—
488#11924028—41no—
489#11924027—24no—
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—21no—
513C2×D292—41no—
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73C2×D411yescharacteristic
519C2×C22⋊D73C2×D411yescharacteristic
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73C2×D411yescharacteristic
523C22×Dic73C2×D411yescharacteristic
524C22×Dic73C2×D411yescharacteristic
525C22×Dic73C2×D411yescharacteristic
526C2×C4×D73—21no—
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—44no—
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540Dic292—41no—
541Dic292—41no—
542Dic292—41no—
543#11924018—41no—
544#11924018—41no—
545#11924018—41no—
546#11924018—41no—
547#11924018—41no—
548#11924018—41no—
549#11924017—22no—
550#11924017—22no—
551#11924017—22no—
552#11924017—41no—
553#11924017—41no—
554#11924017—41no—
555#11924015—22no—
556#11924015—22no—
557#11924015—22no—
558#11924015—41no—
559#11924015—41no—
560#11924015—41no—
561#11924012—41no—
562#11924011—41no—
563#11924011—41no—
564C2×#10596831—41no—
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
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#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#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611#11924007C2×D411yescharacteristic
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C2×Q8×C73—21no—
654C2×Q8×C73—21no—
655C2×Q8×C73—41no—
656C2×Q8×C73—41no—
657C2×Q8×C73—41no—
658C2×Q8×C73—41no—
659C2×Q8×C73C2411yescharacteristic
660C2×Q8×C73C2411yescharacteristic
661C2×Q8×C73C2411yescharacteristic
662C2×Q8×C73C2411yescharacteristic
663C2×D4×C73C2×D411yescharacteristic
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73C2411yescharacteristic
668C22×C4×C73C2411yescharacteristic
669Q16×C73—41no—
670Q16×C73—41no—
671Q16×C73—41no—
672M16×C73—41no—
673C2×C8×C73—41no—
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73C2×D411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73C2×D411yescharacteristic
700C22⋊C4×C73C2×D411yescharacteristic
701C42×C73—21no—
702C42×C73—21no—
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C23×C73C22×D411yescharacteristic
706C23×C73C22×D411yescharacteristic
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—42no—
710C22×D73—42no—
711C22×D73—81no—
712C22×D73C22×D411yescharacteristic
713Q8×C73—21no—
714Q8×C73—21no—
715Q8×C73—21no—
716Q8×C73—21no—
717Q8×C73—21no—
718Q8×C73—21no—
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—81no—
722Q8×C73—81no—
723D4×C73—22no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—42no—
737C2×C4×C73—81no—
738C2×C4×C73—81no—
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C2511yescharacteristic
744C22⋊D73—22no—
745C22⋊D73—22no—
746C22⋊D73—42no—
747C22⋊D73—81no—
748C2×Dic73—22no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—41no—
756C2×Dic73—41no—
757C2×Dic73—81no—
758C2×Dic73—81no—
759C2×Dic73#13714yescomplemented
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767D292—21no—
768D292—21no—
769D292—21no—
770D292—42no—
771D292—42no—
772D292—81no—
773D292H(5,𝔽2)12yes—
774C4×D73—21no—
775C4×D73—21no—
776C4×D73—22no—
777C4×D73—41no—
778C4×D73—42no—
779C4×D73—42no—
780C4×D73—42no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—81no—
785C4×D73—81no—
786C4×D73—81no—
787C4×D73—81no—
788Dic146—22no—
789Dic146—21no—
790Dic146—21no—
791Dic146—21no—
792Dic146—21no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—42no—
798Dic146—81no—
799Dic146—81no—
800Dic146—81no—
801Dic146—81no—
802Dic146—81no—
803C8×C73—21no—
804C8×C73—21no—
805C8×C73—21no—
806C8×C73—21no—
807#10596831—21no—
808#10596831—21no—
809#10596831—21no—
810#10596831—21no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73C2×#13712yes—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—22no—
821C2×D73—21no—
822C2×D73—41no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—84no—
828C4×C73—21no—
829C4×C73—21no—
830C4×C73—21no—
831C4×C73—21no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73—41no—
835C4×C73—41no—
836C4×C73—41no—
837C4×C73—41no—
838C4×C73—41no—
839C4×C73—41no—
840C4×C73C2×H(5,𝔽2)11yescharacteristic
841C4×C73#58511yescharacteristic
842Dic73—21no—
843Dic73—21no—
844Dic73—21no—
845Dic73—21no—
846Dic73—21no—
847Dic73—41no—
848Dic73—41no—
849Dic73—41no—
850Dic73—41no—
851Dic73—41no—
852Dic73—41no—
853Dic73C2×#13712yes—
854Dic73C2×#13712yes—
855#61960—731nomaximal, Sylow
856C2×C73—22no—
857C2×C73—41no—
858C2×C73#348811yescharacteristic
859C2×C73C22×#13711yescharacteristic
860C2×C73#358611yescharacteristic
861D73—41no—
862D73—42no—
863D73—81no—
864#3503—731no—
865#3475—731no—
866#3398—731no—
867#3398—731no—
868#3372—731no—
869#3372—731no—
870#3329—731no—
871#3329—731no—
872#3312—731no—
873#3312—731no—
874#3312—731no—
875#3312D7311yescharacteristic, complemented
876#3276—731no—
877#3276—731no—
878#3266—731no—
879#3266—731no—
880#3266—731no—
881#3266—731no—
882#3252—731no—
883#3252—731no—
884#3249—731no—
885#3218—731no—
886#3218—731no—
887#3209—731no—
888#3116—731no—
889#3116—731no—
890#3101—731no—
891#3039—731no—
892#3039—731no—
893C2×#461—731no—
894#2989—731no—
895C73#6196011yescharacteristic, complemented, Sylow
896C2×#137—731no—
897C2×#137—731no—
898C2×#137—731no—
899C2×#137—731no—
900C22×SD16—731no—
901C22×SD16—731no—
902Q82—1461no—
903#557—731no—
904#557—731no—
905#556—731no—
906#555—731no—
907#554—731no—
908#554—1461no—
909#554—1461no—
910#554—1461no—
911#553—1461no—
912#552—731no—
913#552—1461no—
914#552C2×D7311yescharacteristic
915#551—1461no—
916#551—1461no—
917D4×Q8—731no—
918D4×Q8—731no—
919D4×Q8—731no—
920D4×Q8—731no—
921D4×Q8—731no—
922D4×Q8C2×D7311yescharacteristic
923#547—731no—
924#546—731no—
925#546—731no—
926#544—1461no—
927#544—1461no—
928#544—1461no—
929#533—731no—
930#533—731no—
931#533—731no—
932#533—731no—
933C2×C4⋊Q8—731no—
934C2×C4⋊Q8—731no—
935C2×C4⋊Q8—731no—
936#529—731no—
937#529—731no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#520—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C2×C4×D4—731no—
946C2×#117—1461no—
947#497—731no—
948#497—731no—
949#497—731no—
950#497—731no—
951#494—731no—
952#494—731no—
953#491—731no—
954#491—731no—
955#491—731no—
956#491C2×D7311yescharacteristic, complemented
957#487—731no—
958#487—731no—
959#485—731no—
960#485—731no—
961#485—731no—
962#485C2×D7311yescharacteristic, complemented
963#483—731no—
964#483C2×D7311yescharacteristic
965#479—731no—
966#479—731no—
967#479—731no—
968#479C2×D7311yescharacteristic, complemented
969#477—731no—
970#477—731no—
971#477—731no—
972#477—731no—
973#476—731no—
974#476—731no—
975#470—731no—
976#470—731no—
977#470—731no—
978#470C2×D7311yescharacteristic, complemented
979#468—731no—
980#468—731no—
981#468—731no—
982#468—731no—
983#467—731no—
984#467—731no—
985#467—731no—
986#467C2×D7311yescharacteristic
987#464—731no—
988#464—731no—
989#464—731no—
990#464—731no—
991#462—731no—
992#462—731no—
993#462—731no—
994#462—731no—
995#462—731no—
996#462—731no—
997#462—731no—
998#462—731no—
999#462—731no—
1000#462—731no—
1001#462—731no—
1002#462C2×D7311yescharacteristic, complemented
1003#461—731no—
1004#461—731no—
1005#461—731no—
1006#461—731no—
1007#461—731no—
1008#461—731no—
1009#461—731no—
1010#461—731no—
1011#461—731no—
1012#461—731no—
1013#461—731no—
1014#461—731no—
1015#461—731no—
1016#461—731no—
1017#452—731no—
1018#452—731no—
1019#452—731no—
1020#452—731no—
1021#451—731no—
1022#451—731no—
1023#451—731no—
1024#451—731no—
1025#451—731no—
1026#451—731no—
1027#451C2×D7311yescharacteristic
1028#451C2×D7311yescharacteristic, complemented
1029#450—731no—
1030#450—731no—
1031#448—731no—
1032#448—731no—
1033#448—731no—
1034#448—731no—
1035#446—731no—
1036#446—731no—
1037#441—731no—
1038#441—731no—
1039#441—731no—
1040#441C2×D7311yescharacteristic, complemented
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045C4×SD16—731no—
1046C4×SD16—731no—
1047C4×SD16—731no—
1048C4×SD16—731no—
1049#436—731no—
1050#436—731no—
1051#435—731no—
1052#435—731no—
1053#435—731no—
1054#435C2×D7311yescharacteristic
1055#432—731no—
1056#432—731no—
1057#431—731no—
1058#423—731no—
1059#423—731no—
1060C2×C4⋊C8—731no—
1061#419—731no—
1062#419—731no—
1063#419—731no—
1064#419C2×D7311yescharacteristic, complemented
1065C2×#103—731no—
1066C2×#103C2×D7311yescharacteristic
1067C2×#41—731no—
1068C2×#41—731no—
1069C2×#41—731no—
1070C22×Q8—731no—
1071C22×Q8—731no—
1072C22×Q8—731no—
1073C22×Q8—731no—
1074C22×Q8C22×D7311yescharacteristic
1075C22×Q8C22×D7311yescharacteristic
1076C22×D4—731no—
1077C23×C4—1461no—
1078#137—2922no—
1079#137—2922no—
1080#137—2922no—
1081#137—2922no—
1082C2×Q16—731no—
1083C2×Q16—731no—
1084C2×Q16—731no—
1085C2×Q16—731no—
1086C2×Q16—731no—
1087C2×Q16—731no—
1088C2×Q16—731no—
1089C2×Q16—731no—
1090C2×Q16—731no—
1091C2×Q16C22×D7311yescharacteristic
1092C2×Q16C22×D7311yescharacteristic
1093C2×Q16C22×D7311yescharacteristic
1094C2×SD16—2922no—
1095C2×SD16—2922no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16—731no—
1105C2×SD16—731no—
1106C2×SD16—731no—
1107C2×SD16—731no—
1108C2×M16—731no—
1109C2×M16—731no—
1110C2×M16—731no—
1111C2×M16C22×D7311yescharacteristic
1112C22×C8—731no—
1113C22×C8C22×D7311yescharacteristic
1114C4⋊Q8—21no—
1115C4⋊Q8—731no—
1116C4⋊Q8—731no—
1117C4⋊Q8—731no—
1118C4⋊Q8—731no—
1119C4⋊Q8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—731no—
1124C4⋊Q8—731no—
1125C4⋊Q8—731no—
1126C4⋊Q8—1461no—
1127C4⋊Q8—1461no—
1128C4⋊Q8—1461no—
1129C4⋊Q8—1461no—
1130C4⋊Q8—1461no—
1131C4⋊Q8—1461no—
1132C4⋊Q8—1461no—
1133C4⋊Q8—1461no—
1134C4⋊Q8—1461no—
1135C4⋊Q8—1461no—
1136C4⋊Q8—1461no—
1137C4⋊Q8C22×D7311yescharacteristic
1138#126—21no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#125—21no—
1145#125—731no—
1146#125—1461no—
1147#125—1461no—
1148#125—1461no—
1149#125—1461no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#125—1461no—
1154#125—1461no—
1155#125—1461no—
1156#125—1461no—
1157#125C22×D7311yescharacteristic
1158#124—731no—
1159#124—731no—
1160#124—1461no—
1161#124—1461no—
1162#123—21no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8—731no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—731no—
1176C22⋊Q8—731no—
1177C22⋊Q8—731no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8C22×D7311yescharacteristic
1197C22⋊Q8C22×D7311yescharacteristic
1198C22⋊Q8C22×D7311yescharacteristic
1199C22⋊Q8C22×D7311yescharacteristic
1200#121—731no—
1201#121—731no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#120—1461no—
1207#120—1461no—
1208C4×Q8—731no—
1209C4×Q8—731no—
1210C4×Q8—731no—
1211C4×Q8—731no—
1212C4×Q8—731no—
1213C4×Q8—731no—
1214C4×Q8—731no—
1215C4×Q8—731no—
1216C4×Q8—731no—
1217C4×Q8—731no—
1218C4×Q8—1461no—
1219C4×Q8—1461no—
1220C4×Q8—1461no—
1221C4×Q8—1461no—
1222C4×Q8—1461no—
1223C4×Q8—1461no—
1224C4×Q8C22×D7311yescharacteristic
1225C4×Q8C22×D7311yescharacteristic
1226C4×D4—21no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4C22×D7311yescharacteristic
1252#117—21no—
1253#117—731no—
1254#117—731no—
1255#117—731no—
1256#117—731no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264#117—1461no—
1265#117—1461no—
1266#117—1461no—
1267#117—1461no—
1268#117C22×D7311yescharacteristic
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4—1461no—
1271C2×C4⋊C4—1461no—
1272C2×C4⋊C4—1461no—
1273C2×C4⋊C4—1461no—
1274C2×C4⋊C4—1461no—
1275C2×C4⋊C4—1461no—
1276C2×C4⋊C4—1461no—
1277C2×C4⋊C4C22×D7311yescharacteristic
1278C2×C22⋊C4—1461no—
1279C2×C22⋊C4—1461no—
1280C2×C22⋊C4—1461no—
1281C2×C42—731no—
1282C2×C42—731no—
1283C2×C42—731no—
1284C2×C42—1461no—
1285C2×C42—1461no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106C22×D7311yescharacteristic
1293#106C22×D7311yescharacteristic
1294C4⋊C8—731no—
1295C4⋊C8—731no—
1296C4⋊C8—731no—
1297C4⋊C8—731no—
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8C22×D7311yescharacteristic
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103C22×D7311yescharacteristic
1323#103C22×D7311yescharacteristic
1324#103C22×D7311yescharacteristic
1325#103C22×D7311yescharacteristic
1326#103C22×D7311yescharacteristic
1327#103C22×D7311yescharacteristic
1328#103C22×D7311yescharacteristic
1329#103C22×D7311yescharacteristic
1330#103C22×D7311yescharacteristic
1331#103C22×D7311yescharacteristic
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8C22×D7311yescharacteristic
1341C22⋊C8C22×D7311yescharacteristic
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97C22×D7311yescharacteristic
1346C4×C8—731no—
1347C4×C8—731no—
1348C24—1461no—
1349#41—2921no—
1350#41—2921no—
1351#41—1462no—
1352#41—1462no—
1353#41—1464no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—41no—
1357C2×Q8—41no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—2921no—
1361C2×Q8—2921no—
1362C2×Q8—2921no—
1363C2×Q8—2921no—
1364C2×Q8—2921no—
1365C2×Q8—2921no—
1366C2×Q8—2921no—
1367C2×Q8—2921no—
1368C2×Q8—731no—
1369C2×Q8—731no—
1370C2×Q8—731no—
1371C2×Q8—731no—
1372C2×Q8—731no—
1373C2×Q8—1461no—
1374C2×Q8—1461no—
1375C2×Q8—1461no—
1376C2×Q8—1461no—
1377C2×Q8—1461no—
1378C2×Q8—1461no—
1379C2×Q8C23×D7311yescharacteristic
1380C2×Q8C23×D7311yescharacteristic
1381C2×Q8C23×D7311yescharacteristic
1382C2×Q8C23×D7311yescharacteristic
1383C2×D4—2921no—
1384C2×D4—731no—
1385C2×D4—731no—
1386C2×D4—731no—
1387C2×D4—731no—
1388C2×D4—1461no—
1389C2×D4—1462no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4D4×D7311yescharacteristic
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—2924no—
1399C22×C4—731no—
1400C22×C4—731no—
1401C22×C4—731no—
1402C22×C4—731no—
1403C22×C4—731no—
1404C22×C4—731no—
1405C22×C4—731no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4—1461no—
1411C22×C4—1461no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4C23×D7311yescharacteristic
1419C22×C4C23×D7311yescharacteristic
1420Q16—41no—
1421Q16—41no—
1422Q16—41no—
1423Q16—2921no—
1424Q16—2921no—
1425Q16—2921no—
1426Q16—2921no—
1427Q16—2921no—
1428Q16—2921no—
1429Q16—2921no—
1430Q16—2921no—
1431Q16—2921no—
1432SD16—2921no—
1433SD16—2921no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—2921no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
1442SD16—1462no—
1443SD16—1462no—
1444M16—41no—
1445M16—2921no—
1446M16—2921no—
1447M16—2921no—
1448C2×C8—41no—
1449C2×C8—2921no—
1450C2×C8—731no—
1451C2×C8—731no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8C23×D7311yescharacteristic
1455C2×C8C23×D7311yescharacteristic
1456C2×C8C23×D7311yescharacteristic
1457C2×C8C23×D7311yescharacteristic
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
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⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1513C4⋊C4C23×D7311yescharacteristic
1514C4⋊C4C23×D7311yescharacteristic
1515C4⋊C4C23×D7311yescharacteristic
1516C4⋊C4C23×D7311yescharacteristic
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4D4×D7311yescharacteristic
1546C22⋊C4D4×D7311yescharacteristic
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—731no—
1555C42—731no—
1556C42—731no—
1557C42—731no—
1558C42—731no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42C23×D7311yescharacteristic
1569C23—2922no—
1570C23—2922no—
1571C23—5841no—
1572C23—731no—
1573C23—1461no—
1574C23—1461no—
1575C23C2×D4×D7311yescharacteristic
1576C23C2×D4×D7311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—81no—
1586Q8—81no—
1587Q8—2922no—
1588Q8—5841no—
1589Q8—5841no—
1590Q8—5841no—
1591Q8—5841no—
1592Q8—5841no—
1593Q8—1462no—
1594Q8—1461no—
1595Q8—1461no—
1596Q8—1461no—
1597Q8—1461no—
1598Q8—1461no—
1599Q8—1461no—
1600Q8—1461no—
1601Q8—1461no—
1602D4—22no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—5841no—
1607D4—5841no—
1608D4—732no—
1609D4—1462no—
1610D4—1462no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—2922no—
1630C2×C4—2921no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2921no—
1637C2×C4—2921no—
1638C2×C4—5841no—
1639C2×C4—5841no—
1640C2×C4—5841no—
1641C2×C4—5841no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—734no—
1645C2×C4—731no—
1646C2×C4—731no—
1647C2×C4—731no—
1648C2×C4—731no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—1462no—
1653C2×C4—1461no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1462no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4C2×D4×D7311yescharacteristic
1663C2×C4C2×D4×D7311yescharacteristic
1664C2×C4C2×D4×D7311yescharacteristic
1665C2×C4C2×D4×D7311yescharacteristic
1666C2×C4C24×D7311yescharacteristic
1667C8—21no—
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—1461no—
1672C8—1461no—
1673C8—1461no—
1674C8—1461no—
1675C22—21no—
1676C22—21no—
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—2921no—
1681C22—2921no—
1682C22—2921no—
1683C22—2921no—
1684C22—2921no—
1685C22—5844no—
1686C22—1462no—
1687C22—1461no—
1688C22—1461no—
1689C22—1461no—
1690C22#137×D7312yes—
1691C22C22×D4×D7311yescharacteristic
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—2921no—
1705C4—2921no—
1706C4—2921no—
1707C4—2921no—
1708C4—2921no—
1709C4—2921no—
1710C4—732no—
1711C4—732no—
1712C4—1461no—
1713C4—1461no—
1714C4—1461no—
1715C4—1461no—
1716C4—1461no—
1717C4H(5,𝔽2)×D7311yescharacteristic
1718C4#1798942311yescharacteristic
1719C2—22no—
1720C2—41no—
1721C2—2922no—
1722C2—2921no—
1723C2—5841no—
1724C2#2262359411yescharacteristic
1725C2C2×#137×D7311yescharacteristic
1726C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3312C2
socleC22×C73C23×D4
prime radical#22623496C2
hypercenter#3312D73
hypocenterC73#61960
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
1. #22623742C2semidirect
3. #22622963C2semidirect
4. #22622957C2semidirect
5. #22622715C2semidirect
6. #22622709C2semidirect
7. #22622223C2semidirect
8. #22622221C2semidirect
9. #22621980C2semidirect
10. #22621978C2semidirect
11. #22621976C2semidirect
12. #22621574C2semidirect
13. #22621570C2semidirect
14. #22621446C2semidirect
15. #22621442C2semidirect
16. #22621438C2semidirect
17. #22621434C2semidirect
18. #22621303C2semidirect
19. #22621299C2semidirect
20. #22621272C2semidirect
21. #22620961C2semidirect
22. #22620959C2semidirect
23. #22620877C2semidirect
24. #22620091C2semidirect
25. #22620088C2semidirect
26. #22619936C2semidirect
27. #22619417C2semidirect
28. #22619415C2semidirect
29. C2×#17988791C2semidirect
30. #22619043C2semidirect
31. C73×#3312C2semidirect
39. #17989315C22semidirect
40. #17989312C22semidirect
54. Q8×C22⋊D73C22semidirect
56. #17989250C22semidirect
63. #17989141C22semidirect
66. #17989139C22semidirect
68. C2×#14556589C22semidirect
69. C4⋊Q8×D73C22semidirect
85. #17988965C22semidirect
86. #17988965C22semidirect
87. #17988957C22semidirect
88. #17988954C22semidirect
89. #17988954C22semidirect
90. #17988936C22semidirect
91. #17988936C22semidirect
92. #17988931C22semidirect
93. #17988928C22semidirect
94. #17988927C22semidirect
96. #17988897C22semidirect
97. #17988896C22semidirect
98. #17988891C22semidirect
99. #17988881C22semidirect
100. #17988881C22semidirect
101. #17988880C22semidirect
102. #17988880C22semidirect
105. #17988846C22semidirect
106. #17988844C22semidirect
107. #17988843C22semidirect
119. #17988797C22semidirect
120. #17988796C22semidirect
121. #17988796C22semidirect
122. #17988796C22semidirect
123. #17988796C22semidirect
124. #17988796C22semidirect
125. #17988796C22semidirect
126. #17988795C22semidirect
127. #17988795C22semidirect
128. #17988795C22semidirect
129. #17988795C22semidirect
149. #17988744C22semidirect
150. #17988744C22semidirect
153. #17988742C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988693C22semidirect
163. #17988692C22semidirect
164. #17988691C22semidirect
173. #17988663C22semidirect
174. #17988662C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
181. #17988610C22semidirect
182. #17988609C22semidirect
184. #17988595C22semidirect
185. #17988594C22semidirect
186. #17988594C22semidirect
190. #491×C73C22semidirect
191. #485×C73C22semidirect
193. #479×C73C22semidirect
194. #470×C73C22semidirect
196. #462×C73C22semidirect
198. #451×C73C22semidirect
199. #441×C73C22semidirect
201. #419×C73C22semidirect
759. C2×Dic73#137semidirect
875. #3312D73semidirect
895. C73#61960semidirect
956. #491C2×D73semidirect
962. #485C2×D73semidirect
968. #479C2×D73semidirect
978. #470C2×D73semidirect
1002. #462C2×D73semidirect
1028. #451C2×D73semidirect
1040. #441C2×D73semidirect
1064. #419C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237422
#226234962
#226229632
#226229572
#226227152
#226227092
#226222232
#226222212
#226219802
#226219782
#226219762
#226215742
#226215702
#226214462
#226214422
#226214382
#226214342
#226213032
#226212992
#226212722
#226209612
#226209592
#226208772
#226200912
#226200882
#226199362
#226194172
#226194152
C2×#179887912
#226190432
C73×#33122
#6196073