Finite Group Databasebeta

← #33972201

Subgroups — #33972201

Order 18688.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624203C211yesmaximal, characteristic, complemented
2#22623587C211yesmaximal, characteristic, complemented
3#22622124C211yesmaximal, characteristic, complemented
4#22622116C211yesmaximal, characteristic, complemented
5#22622004C211yesmaximal, characteristic, complemented
6#22621996C211yesmaximal, characteristic, complemented
7#22621884C211yesmaximal, characteristic, complemented
8#22621880C211yesmaximal, characteristic, complemented
9#22621873C211yesmaximal, characteristic, complemented
10#22621869C211yesmaximal, characteristic, complemented
11#22621671C211yesmaximal, characteristic, complemented
12#22621667C211yesmaximal, characteristic, complemented
13#22621644C211yesmaximal, characteristic, complemented
14#22621637C211yesmaximal, characteristic, complemented
15#22621515C211yesmaximal, characteristic, complemented
16#22621511C211yesmaximal, characteristic, complemented
17#22621477C211yesmaximal, characteristic, complemented
18#22621470C211yesmaximal, characteristic, complemented
19#22621025C211yesmaximal, characteristic, complemented
20#22620800C211yesmaximal, characteristic, complemented
21#22620794C211yesmaximal, characteristic, complemented
22#22620723C211yesmaximal, characteristic, complemented
23#22620721C211yesmaximal, characteristic, complemented
24#22620162C211yesmaximal, characteristic, complemented
25#22620154C211yesmaximal, characteristic, complemented
26#22619223C211yesmaximal, characteristic, complemented
27#22619214C211yesmaximal, characteristic, complemented
28#22619150C211yesmaximal, characteristic, complemented
29#22619144C211yesmaximal, characteristic, complemented
30#22618986C211yesmaximal, characteristic, complemented
31C73×#3224C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic
33C22×#11924027C2211yescharacteristic, complemented
34C2×#14556620C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic
37C2×#14556612C2211yescharacteristic
38C2×#14556610C2211yescharacteristic
39C2×#14556610C2211yescharacteristic
40C2×Q16×D73C2211yescharacteristic, complemented
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989329—21no—
43#17989327—21no—
44#17989319—21no—
45#17989311C2211yescharacteristic, complemented
46#17989310C2211yescharacteristic, complemented
47#17989303C2211yescharacteristic, complemented
48#17989302C2211yescharacteristic, complemented
49#17989260—21no—
50#17989257C2211yescharacteristic
51#17989257C2211yescharacteristic
52#17989257C2211yescharacteristic, complemented
53#17989257C2211yescharacteristic, complemented
54#17989255—21no—
55#17989255—21no—
56#17989249C2211yescharacteristic, complemented
57#17989245C2211yescharacteristic
58#17989245C2211yescharacteristic
59#17989245C2211yescharacteristic, complemented
60#17989245C2211yescharacteristic, complemented
61#17989245C2211yescharacteristic, complemented
62#17989243—21no—
63#17989243—21no—
64#17989232C2211yescharacteristic, complemented
65#17989230C2211yescharacteristic, complemented
66#17989210—21no—
67#17989208C2211yescharacteristic
68#17989203—21no—
69#17989177—21no—
70#17989176—21no—
71#17989160C2211yescharacteristic
72#17989154C2211yescharacteristic
73#17989153C2211yescharacteristic
74#17989152—21no—
75#17989152—21no—
76#17989100C2211yescharacteristic
77#17989099C2211yescharacteristic
78#17989097C2211yescharacteristic
79#17989094C2211yescharacteristic, complemented
80#17989093—21no—
81#17989093—21no—
82#17989064C2211yescharacteristic, complemented
83#17988974C2211yescharacteristic, complemented
84#17988969C2211yescharacteristic, complemented
85#17988946C2211yescharacteristic, complemented
86#17988933C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988912C2211yescharacteristic
92#17988910C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988908C2211yescharacteristic
99#17988883C2211yescharacteristic, complemented
100#17988879C2211yescharacteristic, complemented
101#17988873C2211yescharacteristic, complemented
102#17988869C2211yescharacteristic, complemented
103#17988839C2211yescharacteristic, complemented
104#17988837C2211yescharacteristic, complemented
105#17988832C2211yescharacteristic, complemented
106#17988830C2211yescharacteristic, complemented
107#17988827C2211yescharacteristic, complemented
108#17988825C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988820C2211yescharacteristic, complemented
112#17988820C2211yescharacteristic, complemented
113#17988819C2211yescharacteristic, complemented
114#17988815C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988813C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988784C2211yescharacteristic, complemented
126#17988779C2211yescharacteristic, complemented
127#17988750C2211yescharacteristic, complemented
128#17988750C2211yescharacteristic, complemented
129#17988750C2211yescharacteristic, complemented
130#17988749C2211yescharacteristic, complemented
131#17988748C2211yescharacteristic, complemented
132#17988746C2211yescharacteristic, complemented
133#17988746C2211yescharacteristic, complemented
134#17988746C2211yescharacteristic, complemented
135#17988746C2211yescharacteristic, complemented
136#17988745C2211yescharacteristic, complemented
137#17988744C2211yescharacteristic, complemented
138#17988742C2211yescharacteristic, complemented
139#17988741C2211yescharacteristic, complemented
140#17988738C2211yescharacteristic, complemented
141#17988733C2211yescharacteristic
142#17988733C2211yescharacteristic
143#17988733C2211yescharacteristic, complemented
144#17988732C2211yescharacteristic
145#17988731C2211yescharacteristic, complemented
146#17988729C2211yescharacteristic
147#17988729C2211yescharacteristic
148#17988729C2211yescharacteristic, complemented
149#17988729C2211yescharacteristic, complemented
150#17988728C2211yescharacteristic
151#17988727C2211yescharacteristic, complemented
152#17988725C2211yescharacteristic
153#17988724C2211yescharacteristic, complemented
154#17988724C2211yescharacteristic, complemented
155#17988724C2211yescharacteristic, complemented
156#17988721C2211yescharacteristic
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988695C2211yescharacteristic, complemented
160#17988692C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic, complemented
162#17988687C2211yescharacteristic, complemented
163C4×Dic292C2211yescharacteristic, complemented
164C4×#11924018C2211yescharacteristic, complemented
165C4×#11924017C2211yescharacteristic, complemented
166C4×#11924016C2211yescharacteristic, complemented
167#17988660C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988657C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172C8×D292C2211yescharacteristic, complemented
173#17988652C2211yescharacteristic, complemented
174#17988652C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988594C2211yescharacteristic, complemented
177#17988594C2211yescharacteristic, complemented
178#17988580C2211yescharacteristic, complemented
179#17988580C2211yescharacteristic, complemented
180#17988580C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186C22⋊C8×D73C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic
189#535×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#486×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic
201#447×C73C2211yescharacteristic
202#433×C73C2211yescharacteristic, complemented
203#14556638—42no—
204#14556638—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027—42no—
213C2×#11924027—42no—
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic
220C2×#11924027C2311yescharacteristic
221C22×Dic146—21no—
222C22×Dic146C2311yescharacteristic
223C2×Q8×D73C2311yescharacteristic
224C2×Q8×D73C2311yescharacteristic
225C2×Q8×D73C2311yescharacteristic
226C22×C22⋊D73—21no—
227C2×D4×D73C2311yescharacteristic
228C23×Dic73—21no—
229C22×C4×D73C2311yescharacteristic
230#14556620—42no—
231#14556615—42no—
232#14556612—42no—
233#14556612—42no—
234#14556610—42no—
235#14556610—42no—
236C2×Dic292C2311yescharacteristic
237C2×Dic292C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241Q16×D73—42no—
242C2×#11924017C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924016C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924015C2311yescharacteristic
250SD16×D73—42no—
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic
253C2×#11924013C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C2×#11924011C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258C2×C8×D73C2311yescharacteristic
259C2×C8×D73C2311yescharacteristic
260C2×C8×D73C2311yescharacteristic
261C2×C8×D73C2311yescharacteristic
262#14556591C2311yescharacteristic
263#14556590—21no—
264#14556587—21no—
265#14556587—21no—
266#14556587—21no—
267#14556587—21no—
268#14556587—21no—
269#14556587—21no—
270#14556586—21no—
271#14556586—21no—
272#14556586—21no—
273#14556586—21no—
274#14556586—21no—
275#14556580—21no—
276#14556580—21no—
277#14556580—21no—
278#14556579—21no—
279#14556579—21no—
280#14556579C2311yescharacteristic
281#14556578—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556577—21no—
288#14556577—21no—
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556576—21no—
293#14556576—21no—
294#14556575—21no—
295#14556575D411yescharacteristic
296#14556575D411yescharacteristic
297#14556573—21no—
298#14556573—21no—
299#14556573—21no—
300#14556573—21no—
301#14556572—21no—
302#14556571—21no—
303#14556571D411yescharacteristic
304#14556571D411yescharacteristic
305#14556571C2311yescharacteristic
306#14556571C2311yescharacteristic
307#14556570C2311yescharacteristic
308#14556569—21no—
309#14556568—21no—
310#14556568—21no—
311#14556568—21no—
312#14556568—21no—
313#14556568—21no—
314#14556567C2311yescharacteristic
315#14556567C2311yescharacteristic
316#14556567C2311yescharacteristic
317#14556567C2311yescharacteristic
318#14556566—21no—
319#14556566—21no—
320#14556566D411yescharacteristic
321#14556566D411yescharacteristic
322#14556566C2311yescharacteristic
323#14556566C2311yescharacteristic
324#14556565—21no—
325#14556565—21no—
326#14556565C2311yescharacteristic
327#14556564—21no—
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556564—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563—21no—
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556562C2311yescharacteristic
342#14556562C2311yescharacteristic
343#14556562C2311yescharacteristic
344#14556562C2311yescharacteristic
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556561—21no—
350#14556561—21no—
351#14556561—21no—
352#14556561—21no—
353#14556561D411yescharacteristic
354#14556561D411yescharacteristic
355#14556560—21no—
356#14556560—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360Q8×Dic73—21no—
361C4×Dic146—21no—
362C4×Dic146C2311yescharacteristic
363C4×Dic146C2311yescharacteristic
364C4×Dic146C2311yescharacteristic
365C4×Dic146C2311yescharacteristic
366C4×Dic146C2311yescharacteristic
367#14556556—21no—
368#14556556—21no—
369C4×D292—21no—
370C4×D292C2311yescharacteristic
371C4×D292C2311yescharacteristic
372C4×D292C2311yescharacteristic
373C4×D292C2311yescharacteristic
374C4×D292C2311yescharacteristic
375D4×Dic73—21no—
376D4×Dic73—21no—
377D4×Dic73—21no—
378D4×Dic73—21no—
379D4×Dic73—21no—
380#14556553—21no—
381C4×C22⋊D73—21no—
382C4×C22⋊D73—21no—
383#14556551—21no—
384#14556551—21no—
385#14556551—21no—
386#14556551—21no—
387#14556551—21no—
388#14556551—21no—
389#14556551—21no—
390#14556550—21no—
391#14556550C2311yescharacteristic
392#14556549—21no—
393#14556549C2311yescharacteristic
394#14556549C2311yescharacteristic
395#14556549C2311yescharacteristic
396#14556549C2311yescharacteristic
397#14556547—21no—
398#14556547—21no—
399C2×#11924005—21no—
400C22⋊C4×D73—21no—
401#14556525C2311yescharacteristic
402#14556525C2311yescharacteristic
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556523C2311yescharacteristic
406#14556523C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410C4⋊#10596831C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556512C2311yescharacteristic
433#14556512C2311yescharacteristic
434#14556512C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556503C2311yescharacteristic
445#14556502C2311yescharacteristic
446C4×#10596831C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C4⋊Q8×C73C2311yescharacteristic
458#127×C73C2311yescharacteristic
459#127×C73C2311yescharacteristic
460#126×C73—21no—
461#124×C73—21no—
462#124×C73C2311yescharacteristic
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#120×C73—21no—
472#120×C73—21no—
473C4×Q8×C73C2311yescharacteristic
474C4×D4×C73C2311yescharacteristic
475#117×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73C2×D411yescharacteristic
492#11924029—41no—
493#11924029—41no—
494#11924028—44no—
495#11924028—41no—
496#11924028—41no—
497#11924027—22no—
498#11924027—22no—
499#11924027—22no—
500#11924027—22no—
501#11924027—22no—
502#11924027—22no—
503#11924027—41no—
504#11924027—41no—
505#11924027—41no—
506#11924027—41no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512#11924027—44no—
513#11924027—44no—
514#11924027—44no—
515C2×Dic146—21no—
516C2×Dic146—22no—
517C2×Dic146—22no—
518C2×Dic146—21no—
519C2×Dic146—21no—
520C2×Dic146—21no—
521C2×Dic146—21no—
522C2×Dic146—44no—
523C2×Dic146C2×D411yescharacteristic
524C2×Dic146C2411yescharacteristic
525C2×Dic146C2411yescharacteristic
526C2×Dic146C2411yescharacteristic
527Q8×D73—22no—
528Q8×D73—22no—
529Q8×D73—41no—
530Q8×D73—41no—
531Q8×D73—41no—
532Q8×D73—41no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292C2×D411yescharacteristic
537C2×D292C2×D411yescharacteristic
538C2×D292C2×D411yescharacteristic
539C2×D292C2×D411yescharacteristic
540C2×D292C2×D411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—21no—
558C2×C22⋊D73—21no—
559C2×C22⋊D73—44no—
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562D4×D73—41no—
563D4×D73—41no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73—21no—
572C22×Dic73—44no—
573C22×Dic73C2×D411yescharacteristic
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—41no—
580C2×C4×D73—41no—
581C2×C4×D73C2×D411yescharacteristic
582C2×C4×D73C2×D411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584C2×C4×D73C2411yescharacteristic
585C2×C4×D73C2411yescharacteristic
586C2×C4×D73C2411yescharacteristic
587Dic292—22no—
588Dic292—22no—
589#11924018—22no—
590#11924018—22no—
591#11924018—41no—
592#11924017—22no—
593#11924017—22no—
594#11924016—22no—
595#11924016—22no—
596#11924016—41no—
597#11924016—41no—
598#11924016—41no—
599#11924015—41no—
600#11924013—41no—
601#11924013—41no—
602#11924013—41no—
603#11924011—41no—
604#11924011—41no—
605C2×#10596831C2411yescharacteristic
606C2×#10596831C2411yescharacteristic
607C2×#10596831C2411yescharacteristic
608C2×#10596831C2411yescharacteristic
609C8×D73—41no—
610C8×D73—41no—
611C8×D73—41no—
612C8×D73—41no—
613C8×D73—41no—
614C8×D73—41no—
615C4⋊Dic73—21no—
616C4⋊Dic73—21no—
617C4⋊Dic73—21no—
618C4⋊Dic73C2×D411yescharacteristic
619C4⋊Dic73C2×D411yescharacteristic
620C4⋊Dic73C2×D411yescharacteristic
621C4⋊Dic73C2×D411yescharacteristic
622C4⋊Dic73C2411yescharacteristic
623C4⋊Dic73C2411yescharacteristic
624C4⋊Dic73C2411yescharacteristic
625C4⋊Dic73C2411yescharacteristic
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005C2×D411yescharacteristic
663#11924005C2×D411yescharacteristic
664#11924005C2×D411yescharacteristic
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668#11924005C2×D411yescharacteristic
669#11924005C2×D411yescharacteristic
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73—21no—
677C4×Dic73—21no—
678C4×Dic73—21no—
679C4×Dic73—21no—
680C24×C73—21no—
681#41×C73—41no—
682#41×C73—41no—
683C2×Q8×C73—21no—
684C2×Q8×C73C2411yescharacteristic
685C2×Q8×C73C2411yescharacteristic
686C2×D4×C73—21no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—41no—
694C2×D4×C73—41no—
695C2×D4×C73C2411yescharacteristic
696C2×D4×C73C2411yescharacteristic
697C2×D4×C73C2411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C22×C4×C73—21no—
700C22×C4×C73—21no—
701C22×C4×C73C2411yescharacteristic
702Q16×C73—41no—
703SD16×C73—41no—
704SD16×C73—41no—
705SD16×C73—41no—
706SD16×C73—41no—
707D8×C73—41no—
708D8×C73—41no—
709D8×C73—41no—
710C2×C8×C73C2411yescharacteristic
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C4⋊C4×C73—21no—
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73C2×D411yescharacteristic
718C4⋊C4×C73C2×D411yescharacteristic
719C4⋊C4×C73C2411yescharacteristic
720C4⋊C4×C73C2411yescharacteristic
721C22⋊C4×C73—21no—
722C22⋊C4×C73—21no—
723C22⋊C4×C73—21no—
724C22⋊C4×C73—21no—
725C22⋊C4×C73—21no—
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73C2×D411yescharacteristic
731C22⋊C4×C73C2×D411yescharacteristic
732C42×C73—21no—
733C42×C73C2411yescharacteristic
734C42×C73C2411yescharacteristic
735C23×C73—21no—
736C23×C73—21no—
737C23×C73—21no—
738C23×C73—21no—
739C23×C73—42no—
740C23×C73—81no—
741C23×C73—81no—
742C23×C73C22×D411yescharacteristic
743C22×D73—21no—
744C22×D73—41no—
745C22×D73—41no—
746C22×D73—41no—
747C22×D73—81no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73C22×D411yescharacteristic
751C22×D73C22×D411yescharacteristic
752C22×D73C22×D411yescharacteristic
753C22×D73C22×D411yescharacteristic
754Q8×C73—21no—
755Q8×C73—21no—
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—81no—
759D4×C73—21no—
760D4×C73—21no—
761D4×C73—21no—
762D4×C73—21no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—42no—
768D4×C73—42no—
769D4×C73—81no—
770D4×C73—81no—
771D4×C73—81no—
772D4×C73—81no—
773D4×C73—81no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—42no—
781C2×C4×C73—81no—
782C2×C4×C73C22×D411yescharacteristic
783C2×C4×C73C22×D411yescharacteristic
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C2511yescharacteristic
788C22⋊D73—41no—
789C22⋊D73—41no—
790C22⋊D73—42no—
791C22⋊D73—42no—
792C22⋊D73—42no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—81no—
797C22⋊D73—81no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C22⋊D73—81no—
807C2×Dic73—24no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—41no—
816C2×Dic73—42no—
817C2×Dic73—42no—
818C2×Dic73—42no—
819C2×Dic73—42no—
820C2×Dic73—42no—
821C2×Dic73—42no—
822C2×Dic73—81no—
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827D292—21no—
828D292—21no—
829D292—41no—
830D292—41no—
831D292—41no—
832D292—41no—
833D292—41no—
834D292—81no—
835D292—81no—
836D292—81no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—21no—
842C4×D73—21no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—41no—
846C4×D73—41no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—81no—
850C4×D73—81no—
851C4×D73—81no—
852Dic146—24no—
853Dic146—21no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—41no—
858Dic146—42no—
859Dic146—42no—
860Dic146—81no—
861Dic146—81no—
862Dic146H(5,𝔽2)12yes—
863Dic146H(5,𝔽2)12yes—
864C8×C73—21no—
865C8×C73—21no—
866C8×C73—21no—
867C8×C73—21no—
868#10596831—21no—
869#10596831—21no—
870#10596831—21no—
871#10596831—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—41no—
876C22×C73—41no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—84no—
888C22×C73C23×D411yescharacteristic
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—82no—
905C2×D73—162no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—21no—
910C4×C73—21no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73C2×H(5,𝔽2)11yescharacteristic
916C4×C73C2×H(5,𝔽2)11yescharacteristic
917Dic73—22no—
918Dic73—22no—
919Dic73—21no—
920Dic73—21no—
921Dic73—21no—
922Dic73—21no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61638—731nomaximal, Sylow
929C2×C73—41no—
930C2×C73—81no—
931C2×C73—81no—
932C2×C73—81no—
933C2×C73—81no—
934C2×C73#348411yescharacteristic
935C2×C73#358411yescharacteristic
936C2×C73#358411yescharacteristic
937D73—41no—
938D73—41no—
939D73—41no—
940D73—41no—
941D73—81no—
942#3540—731no—
943#3487—731no—
944#3321—731no—
945#3321—731no—
946#3313—731no—
947#3313—731no—
948#3305—731no—
949#3305—731no—
950#3304—731no—
951#3304—731no—
952#3285—731no—
953#3285—731no—
954#3282—731no—
955#3282—731no—
956#3271—731no—
957#3271—731no—
958#3268—731no—
959#3268—731no—
960#3224—731no—
961#3224D7311yescharacteristic, complemented
962#3200—731no—
963#3199—731no—
964#3191—731no—
965#3191—731no—
966#3121—731no—
967#3121—731no—
968#3011—731no—
969#3010—731no—
970#3002—731no—
971#3002—731no—
972#2977—731no—
973C73#6163811yescharacteristic, complemented, Sylow
974C2×2−1+4—731no—
975C22×#41—731no—
976C2×#137—731no—
977C2×AGL(1,ℤ/8)—731no—
978C2×#135—731no—
979C2×#135—731no—
980C2×#135—731no—
981C2×#135—731no—
982C22×Q16—731no—
983C22×SD16—731no—
984H(3,𝔽4)—1461no—
985#560—1461no—
986#559—1461no—
987#556—731no—
988#556—731no—
989#555—731no—
990#555—731no—
991#551—1461no—
992#550—731no—
993#550—731no—
994#550—731no—
995#550—731no—
996#550—1461no—
997#550—1461no—
998#548—731no—
999#548—731no—
1000#548—731no—
1001#548—731no—
1002#548—731no—
1003#548—731no—
1004#548—1461no—
1005#548—1461no—
1006#546—731no—
1007#546—731no—
1008#542—731no—
1009#542—1461no—
1010#542—1461no—
1011#542C2×D7311yescharacteristic
1012#538—1461no—
1013#538—1461no—
1014#536—731no—
1015#535—731no—
1016#535—731no—
1017#535—1461no—
1018#535—1461no—
1019#535C2×D7311yescharacteristic, complemented
1020#525—731no—
1021#525—731no—
1022#525—731no—
1023#525—731no—
1024#525—1461no—
1025#525—1461no—
1026#519—731no—
1027#496—731no—
1028#496C2×D7311yescharacteristic, complemented
1029#495—731no—
1030#495C2×D7311yescharacteristic, complemented
1031#489—731no—
1032#489C2×D7311yescharacteristic, complemented
1033#486—731no—
1034#486C2×D7311yescharacteristic, complemented
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#485—731no—
1039#482—731no—
1040#482—731no—
1041#482—731no—
1042#482—731no—
1043#482—731no—
1044#482—731no—
1045#482—731no—
1046#482—731no—
1047#477—731no—
1048#477—731no—
1049#475—731no—
1050#475—731no—
1051#469—731no—
1052#469—731no—
1053#468—731no—
1054#468—731no—
1055#467—731no—
1056#467—731no—
1057#466—731no—
1058#466—731no—
1059#466—731no—
1060#466—731no—
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465—731no—
1065#465—731no—
1066#465—731no—
1067#464—731no—
1068#464—731no—
1069#464—731no—
1070#464—731no—
1071#464—731no—
1072#464C2×D7311yescharacteristic, complemented
1073#463—731no—
1074#463C2×D7311yescharacteristic, complemented
1075#460—731no—
1076#460C2×D7311yescharacteristic, complemented
1077#459—731no—
1078#459C2×D7311yescharacteristic, complemented
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452—731no—
1086#452—731no—
1087#452—731no—
1088#452C2×D7311yescharacteristic, complemented
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451—731no—
1093#450—731no—
1094#450C2×D7311yescharacteristic, complemented
1095#449—731no—
1096#449—731no—
1097#449—731no—
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449—731no—
1104#449C2×D7311yescharacteristic
1105#448—731no—
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448—731no—
1111#447—731no—
1112#447—731no—
1113#447—731no—
1114#447C2×D7311yescharacteristic
1115#441—731no—
1116#441—731no—
1117#440—731no—
1118#440—731no—
1119C4×Q16—731no—
1120C4×Q16—731no—
1121C4×SD16—731no—
1122C4×SD16—731no—
1123#435—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127C8×D4—731no—
1128C8×D4—731no—
1129C8×D4—731no—
1130C8×D4—731no—
1131#433—731no—
1132#433C2×D7311yescharacteristic, complemented
1133#419—731no—
1134#419—731no—
1135#416—731no—
1136#416—731no—
1137#416—731no—
1138#416—731no—
1139#416—731no—
1140#416—731no—
1141#408—731no—
1142#408—731no—
1143C2×C22⋊C8—731no—
1144C2×C22⋊C8—731no—
11452−1+4—2922no—
11462−1+4—2922no—
1147C2×#41—2922no—
1148C2×#41—2922no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—731no—
1156C2×#41—731no—
1157C2×#41—731no—
1158C2×#41—1461no—
1159C2×#41—1461no—
1160C2×#41—1461no—
1161C2×#41—1461no—
1162C2×#41—1461no—
1163C2×#41C22×D7311yescharacteristic
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—731no—
1167C22×Q8—731no—
1168C22×Q8—1461no—
1169C22×D4—731no—
1170C22×D4—1461no—
1171C22×D4C22×D7311yescharacteristic
1172C23×C4—731no—
1173C23×C4—1461no—
1174#137—2922no—
1175AGL(1,ℤ/8)—2922no—
1176#135—2922no—
1177#135—2922no—
1178#135—2922no—
1179#135—2922no—
1180C2×Q16—2922no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×Q16C22×D7311yescharacteristic
1187C2×SD16—2922no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16C22×D7311yescharacteristic
1197C2×SD16C22×D7311yescharacteristic
1198C2×SD16C22×D7311yescharacteristic
1199C2×SD16C22×D7311yescharacteristic
1200C2×D8—731no—
1201C2×D8—731no—
1202C2×D8—731no—
1203C2×D8C22×D7311yescharacteristic
1204C2×D8C22×D7311yescharacteristic
1205C2×D8C22×D7311yescharacteristic
1206C2×M16—731no—
1207C2×M16—731no—
1208C22×C8—731no—
1209C22×C8—731no—
1210C22×C8—731no—
1211C22×C8—731no—
1212C22×C8—731no—
1213C22×C8—731no—
1214C4⋊Q8—731no—
1215C4⋊Q8—1461no—
1216C4⋊Q8C22×D7311yescharacteristic
1217#127—1461no—
1218#127—1461no—
1219#127—1461no—
1220#127—1461no—
1221#127—1461no—
1222#127—1461no—
1223#127C22×D7311yescharacteristic
1224#127C22×D7311yescharacteristic
1225#126—21no—
1226#126—1461no—
1227#126—1461no—
1228#126—1461no—
1229#126—1461no—
1230#126—1461no—
1231#124—21no—
1232#124—731no—
1233#124—1461no—
1234#124—1461no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#124—1461no—
1245#124—1461no—
1246#124—1461no—
1247#124—1461no—
1248#124—1461no—
1249#124C22×D7311yescharacteristic
1250#124C22×D7311yescharacteristic
1251#124C22×D7311yescharacteristic
1252#123—21no—
1253#123—731no—
1254#123—731no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263C22⋊Q8—21no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—731no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8C22×D7311yescharacteristic
1281#121—21no—
1282#121—21no—
1283#121—731no—
1284#121—731no—
1285#121—731no—
1286#121—731no—
1287#121—731no—
1288#121—731no—
1289#121—731no—
1290#121—731no—
1291#121—731no—
1292#121—731no—
1293#121—731no—
1294#121—731no—
1295#121—731no—
1296#121—1461no—
1297#121—1461no—
1298#121—1461no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121C22×D7311yescharacteristic
1315#120—21no—
1316#120—21no—
1317#120—731no—
1318#120—731no—
1319#120—1461no—
1320#120—1461no—
1321#120—1461no—
1322#120—1461no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328C4×Q8—731no—
1329C4×Q8—731no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—1461no—
1334C4×Q8—1461no—
1335C4×Q8—1461no—
1336C4×Q8—1461no—
1337C4×Q8C22×D7311yescharacteristic
1338C4×D4—731no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4C22×D7311yescharacteristic
1360#117—731no—
1361#117—731no—
1362#117—731no—
1363#117—731no—
1364#117—731no—
1365#117—1461no—
1366#117—1461no—
1367#117—1461no—
1368#117—1461no—
1369#117C22×D7311yescharacteristic
1370C2×C22⋊C4—1461no—
1371C2×C22⋊C4—1461no—
1372#107—731no—
1373#107—731no—
1374#107—731no—
1375#107—731no—
1376#106—731no—
1377#106—731no—
1378#106—731no—
1379#106—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8C22×D7311yescharacteristic
1383C4⋊C8C22×D7311yescharacteristic
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103C22×D7311yescharacteristic
1399#103C22×D7311yescharacteristic
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102C22×D7311yescharacteristic
1411#102C22×D7311yescharacteristic
1412#102C22×D7311yescharacteristic
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415#102C22×D7311yescharacteristic
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8C22×D7311yescharacteristic
1427C22⋊C8C22×D7311yescharacteristic
1428#97—731no—
1429#97C22×D7311yescharacteristic
1430C4×C8—731no—
1431C4×C8C22×D7311yescharacteristic
1432C24—21no—
1433C24—731no—
1434C24—1461no—
1435#41—41no—
1436#41—41no—
1437#41—2921no—
1438#41—2921no—
1439#41—2924no—
1440#41—2924no—
1441#41—2924no—
1442#41—2921no—
1443#41—2921no—
1444#41—2921no—
1445#41—2921no—
1446#41—2921no—
1447#41—2921no—
1448#41—2924no—
1449#41—2924no—
1450#41—2921no—
1451#41—2921no—
1452#41—2921no—
1453#41—2921no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459#41—1462no—
1460C2×Q8—21no—
1461C2×Q8—2924no—
1462C2×Q8—2921no—
1463C2×Q8—2921no—
1464C2×Q8—2921no—
1465C2×Q8—2921no—
1466C2×Q8—731no—
1467C2×Q8—731no—
1468C2×Q8—731no—
1469C2×Q8—731no—
1470C2×Q8—1461no—
1471C2×Q8—1461no—
1472C2×Q8—1461no—
1473C2×Q8—1462no—
1474C2×Q8—1462no—
1475C2×Q8—1462no—
1476C2×Q8—1462no—
1477C2×Q8—1461no—
1478C2×Q8—1461no—
1479C2×Q8C23×D7311yescharacteristic
1480C2×Q8C23×D7311yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—2921no—
1491C2×D4—2921no—
1492C2×D4—2924no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4C23×D7311yescharacteristic
1522C2×D4C23×D7311yescharacteristic
1523C2×D4C23×D7311yescharacteristic
1524C2×D4C23×D7311yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—2921no—
1528C22×C4—2921no—
1529C22×C4—2924no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4C23×D7311yescharacteristic
1551Q16—41no—
1552Q16—2921no—
1553Q16—1462no—
1554Q16—1462no—
1555Q16—1462no—
1556Q16—1462no—
1557SD16—41no—
1558SD16—41no—
1559SD16—41no—
1560SD16—41no—
1561SD16—2921no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—1462no—
1566SD16—1462no—
1567SD16—1462no—
1568SD16—1462no—
1569D8—41no—
1570D8—41no—
1571D8—41no—
1572D8—2921no—
1573D8—2921no—
1574D8—2921no—
1575M16—2921no—
1576M16—2921no—
1577C2×C8—2921no—
1578C2×C8—2921no—
1579C2×C8—2921no—
1580C2×C8—2921no—
1581C2×C8—2921no—
1582C2×C8—2921no—
1583C2×C8—731no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8C23×D7311yescharacteristic
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—731no—
1595C4⋊C4—731no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4D4×D7311yescharacteristic
1616C4⋊C4D4×D7311yescharacteristic
1617C4⋊C4C23×D7311yescharacteristic
1618C4⋊C4C23×D7311yescharacteristic
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
1633C22⋊C4—731no—
1634C22⋊C4—731no—
1635C22⋊C4—731no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4D4×D7311yescharacteristic
1663C22⋊C4D4×D7311yescharacteristic
1664C42—21no—
1665C42—1461no—
1666C42—1461no—
1667C42—1461no—
1668C42—1461no—
1669C42—1461no—
1670C42—1461no—
1671C42—1461no—
1672C42—1461no—
1673C42—1461no—
1674C42—1461no—
1675C42C23×D7311yescharacteristic
1676C42C23×D7311yescharacteristic
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—42no—
1682C23—81no—
1683C23—81no—
1684C23—2921no—
1685C23—2921no—
1686C23—2921no—
1687C23—5841no—
1688C23—5841no—
1689C23—5841no—
1690C23—731no—
1691C23—731no—
1692C23—731no—
1693C23—731no—
1694C23—1461no—
1695C23C2×D4×D7311yescharacteristic
1696Q8—21no—
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—81no—
1701Q8—2921no—
1702Q8—2922no—
1703Q8—2922no—
1704Q8—5841no—
1705Q8—5841no—
1706Q8—732no—
1707Q8—732no—
1708Q8—1464no—
1709Q8—1461no—
1710Q8—1461no—
1711Q8—1461no—
1712Q8—1461no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—42no—
1722D4—42no—
1723D4—81no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—2921no—
1729D4—2921no—
1730D4—2921no—
1731D4—2921no—
1732D4—2921no—
1733D4—2921no—
1734D4—2921no—
1735D4—2922no—
1736D4—2922no—
1737D4—2922no—
1738D4—2922no—
1739D4—2922no—
1740D4—2922no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—5841no—
1752D4—5841no—
1753D4—5841no—
1754D4—5841no—
1755D4—1461no—
1756D4—1461no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—42no—
1764C2×C4—81no—
1765C2×C4—2921no—
1766C2×C4—2921no—
1767C2×C4—2922no—
1768C2×C4—2922no—
1769C2×C4—2921no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—5841no—
1777C2×C4—5841no—
1778C2×C4—5841no—
1779C2×C4—5841no—
1780C2×C4—731no—
1781C2×C4—731no—
1782C2×C4—731no—
1783C2×C4—731no—
1784C2×C4—1461no—
1785C2×C4—1461no—
1786C2×C4—1461no—
1787C2×C4—1461no—
1788C2×C4—1461no—
1789C2×C4—1464no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4C2×D4×D7311yescharacteristic
1801C2×C4C2×D4×D7311yescharacteristic
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C24×D7311yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1461no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—84no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—5842no—
1834C22—11682no—
1835C22—1461no—
1836C22—1461no—
1837C22—1461no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22—1461no—
1846C22—1461no—
1847C22C22×D4×D7311yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—2921no—
1862C4—1461no—
1863C4—1461no—
1864C4—1462no—
1865C4—1462no—
1866C4—1461no—
1867C4—1461no—
1868C4H(5,𝔽2)×D7311yescharacteristic
1869C4H(5,𝔽2)×D7311yescharacteristic
1870C2—41no—
1871C2—81no—
1872C2—81no—
1873C2—81no—
1874C2—81no—
1875C2—2921no—
1876C2—2921no—
1877C2—2921no—
1878C2—2921no—
1879C2—5841no—
1880C2#2262356511yescharacteristic
1881C2#2262469911yescharacteristic
1882C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3224C2
socleC22×C73C23×D4
hypercenter#3224D73
hypocenterC73#61638
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #22624203C2semidirect
2. #22623587C2semidirect
3. #22622124C2semidirect
4. #22622116C2semidirect
5. #22622004C2semidirect
6. #22621996C2semidirect
7. #22621884C2semidirect
8. #22621880C2semidirect
9. #22621873C2semidirect
10. #22621869C2semidirect
11. #22621671C2semidirect
12. #22621667C2semidirect
13. #22621644C2semidirect
14. #22621637C2semidirect
15. #22621515C2semidirect
16. #22621511C2semidirect
17. #22621477C2semidirect
18. #22621470C2semidirect
19. #22621025C2semidirect
20. #22620800C2semidirect
21. #22620794C2semidirect
22. #22620723C2semidirect
23. #22620721C2semidirect
24. #22620162C2semidirect
25. #22620154C2semidirect
26. #22619223C2semidirect
27. #22619214C2semidirect
28. #22619150C2semidirect
29. #22619144C2semidirect
30. #22618986C2semidirect
31. C73×#3224C2semidirect
33. C22×#11924027C22semidirect
34. C2×#14556620C22semidirect
35. C2×#14556615C22semidirect
40. C2×Q16×D73C22semidirect
41. C2×SD16×D73C22semidirect
45. #17989311C22semidirect
46. #17989310C22semidirect
47. #17989303C22semidirect
48. #17989302C22semidirect
52. #17989257C22semidirect
53. #17989257C22semidirect
56. #17989249C22semidirect
59. #17989245C22semidirect
60. #17989245C22semidirect
61. #17989245C22semidirect
64. #17989232C22semidirect
65. #17989230C22semidirect
79. #17989094C22semidirect
82. #17989064C22semidirect
83. #17988974C22semidirect
84. #17988969C22semidirect
85. #17988946C22semidirect
86. #17988933C22semidirect
87. #17988929C22semidirect
88. #17988927C22semidirect
89. #17988926C22semidirect
90. #17988925C22semidirect
92. #17988910C22semidirect
93. #17988910C22semidirect
94. #17988910C22semidirect
95. #17988909C22semidirect
96. #17988909C22semidirect
97. #17988909C22semidirect
99. #17988883C22semidirect
100. #17988879C22semidirect
101. #17988873C22semidirect
102. #17988869C22semidirect
103. #17988839C22semidirect
104. #17988837C22semidirect
105. #17988832C22semidirect
106. #17988830C22semidirect
107. #17988827C22semidirect
108. #17988825C22semidirect
109. #17988822C22semidirect
110. #17988822C22semidirect
111. #17988820C22semidirect
112. #17988820C22semidirect
113. #17988819C22semidirect
114. #17988815C22semidirect
115. #17988815C22semidirect
116. #17988813C22semidirect
117. #17988813C22semidirect
118. #17988813C22semidirect
119. #17988810C22semidirect
120. #17988810C22semidirect
121. #17988806C22semidirect
122. #17988806C22semidirect
123. #17988806C22semidirect
124. #17988799C22semidirect
125. #17988784C22semidirect
126. #17988779C22semidirect
127. #17988750C22semidirect
128. #17988750C22semidirect
129. #17988750C22semidirect
130. #17988749C22semidirect
131. #17988748C22semidirect
132. #17988746C22semidirect
133. #17988746C22semidirect
134. #17988746C22semidirect
135. #17988746C22semidirect
136. #17988745C22semidirect
137. #17988744C22semidirect
138. #17988742C22semidirect
139. #17988741C22semidirect
140. #17988738C22semidirect
143. #17988733C22semidirect
145. #17988731C22semidirect
148. #17988729C22semidirect
149. #17988729C22semidirect
151. #17988727C22semidirect
153. #17988724C22semidirect
154. #17988724C22semidirect
155. #17988724C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988695C22semidirect
160. #17988692C22semidirect
161. #17988689C22semidirect
162. #17988687C22semidirect
163. C4×Dic292C22semidirect
164. C4×#11924018C22semidirect
165. C4×#11924017C22semidirect
166. C4×#11924016C22semidirect
167. #17988660C22semidirect
168. #17988660C22semidirect
169. #17988657C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. C8×D292C22semidirect
173. #17988652C22semidirect
174. #17988652C22semidirect
175. #17988648C22semidirect
176. #17988594C22semidirect
177. #17988594C22semidirect
178. #17988580C22semidirect
179. #17988580C22semidirect
180. #17988580C22semidirect
181. #17988580C22semidirect
182. #17988580C22semidirect
183. #17988580C22semidirect
186. C22⋊C8×D73C22semidirect
187. C22⋊C8×D73C22semidirect
189. #535×C73C22semidirect
190. #496×C73C22semidirect
191. #495×C73C22semidirect
192. #489×C73C22semidirect
193. #486×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
197. #459×C73C22semidirect
198. #452×C73C22semidirect
199. #450×C73C22semidirect
202. #433×C73C22semidirect
961. #3224D73semidirect
973. C73#61638semidirect
1019. #535C2×D73semidirect
1028. #496C2×D73semidirect
1030. #495C2×D73semidirect
1032. #489C2×D73semidirect
1034. #486C2×D73semidirect
1072. #464C2×D73semidirect
1074. #463C2×D73semidirect
1076. #460C2×D73semidirect
1078. #459C2×D73semidirect
1088. #452C2×D73semidirect
1094. #450C2×D73semidirect
1132. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242032
#226235872
#226221242
#226221162
#226220042
#226219962
#226218842
#226218802
#226218732
#226218692
#226216712
#226216672
#226216442
#226216372
#226215152
#226215112
#226214772
#226214702
#226210252
#226208002
#226207942
#226207232
#226207212
#226201622
#226201542
#226192232
#226192142
#226191502
#226191442
#226189862
C73×#32242
#6163873