Finite Group Databasebeta

← #33971609

Subgroups — #33971609

Order 18688.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624243C211yesmaximal, characteristic, complemented
2#22623580C211yesmaximal, characteristic, complemented
3#22622224C211yesmaximal, characteristic, complemented
4#22622191C211yesmaximal, characteristic, complemented
5#22622116C211yesmaximal, characteristic, complemented
6#22622109C211yesmaximal, characteristic, complemented
7#22621989C211yesmaximal, characteristic, complemented
8#22621921C211yesmaximal, characteristic, complemented
9#22621825C211yesmaximal, characteristic, complemented
10#22621795C211yesmaximal, characteristic, complemented
11#22621637C211yesmaximal, characteristic, complemented
12#22621630C211yesmaximal, characteristic, complemented
13#22621592C211yesmaximal, characteristic, complemented
14#22621561C211yesmaximal, characteristic, complemented
15#22621522C211yesmaximal, characteristic, complemented
16#22621440C211yesmaximal, characteristic, complemented
17#22621440C211yesmaximal, characteristic, complemented
18#22621432C211yesmaximal, characteristic, complemented
19#22620992C211yesmaximal, characteristic, complemented
20#22620817C211yesmaximal, characteristic, complemented
21#22620801C211yesmaximal, characteristic, complemented
22#22620743C211yesmaximal, characteristic, complemented
23#22620723C211yesmaximal, characteristic, complemented
24#22620223C211yesmaximal, characteristic, complemented
25#22620154C211yesmaximal, characteristic, complemented
26#22619250C211yesmaximal, characteristic, complemented
27#22619214C211yesmaximal, characteristic, complemented
28#22619166C211yesmaximal, characteristic, complemented
29#448×D73C211yesmaximal, characteristic, complemented
30#22618977C211yesmaximal, characteristic, complemented
31C73×#3225C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic, complemented
33C22×Q8×D73C2211yescharacteristic, complemented
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×#14556623C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556612C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic
40C2×SD16×D73C2211yescharacteristic
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989333—21no—
43#17989328—21no—
44#17989303C2211yescharacteristic
45#17989287C2211yescharacteristic
46#17989278C2211yescharacteristic
47#17989262—21no—
48#17989259C2211yescharacteristic
49#17989252C2211yescharacteristic
50#17989252C2211yescharacteristic, complemented
51#17989252C2211yescharacteristic, complemented
52#17989252C2211yescharacteristic, complemented
53#17989250—21no—
54#17989250—21no—
55#17989247—21no—
56#17989247—21no—
57#17989245C2211yescharacteristic
58#17989245C2211yescharacteristic, complemented
59#17989245C2211yescharacteristic, complemented
60#17989245C2211yescharacteristic, complemented
61#17989240C2211yescharacteristic
62#17989230C2211yescharacteristic
63#17989230C2211yescharacteristic
64#17989228—21no—
65D4×D292C2211yescharacteristic
66#17989192C2211yescharacteristic
67#17989189—21no—
68#17989171—21no—
69#17989167C2211yescharacteristic
70#17989161C2211yescharacteristic, complemented
71#17989159—21no—
72#17989159—21no—
73#17989155—21no—
74#17989153C2211yescharacteristic
75#17989148—21no—
76#17989100C2211yescharacteristic
77#17989099C2211yescharacteristic
78#17989095—21no—
79#17989095—21no—
80#17989094C2211yescharacteristic, complemented
81#121×D73C2211yescharacteristic
82#17989064C2211yescharacteristic, complemented
83#17988977C2211yescharacteristic, complemented
84#17988961C2211yescharacteristic, complemented
85#17988955C2211yescharacteristic, complemented
86#17988941C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic
98#17988899C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988879C2211yescharacteristic, complemented
102#17988869C2211yescharacteristic, complemented
103#17988842C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic, complemented
105#17988837C2211yescharacteristic
106#17988836C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic
110#17988830C2211yescharacteristic, complemented
111#17988825C2211yescharacteristic, complemented
112#17988825C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic
114#17988819C2211yescharacteristic
115#17988819C2211yescharacteristic, complemented
116#17988819C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988813C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988789C2211yescharacteristic, complemented
124#17988789C2211yescharacteristic, complemented
125#17988788C2211yescharacteristic, complemented
126#17988788C2211yescharacteristic, complemented
127#17988748C2211yescharacteristic, complemented
128#17988748C2211yescharacteristic, complemented
129#17988748C2211yescharacteristic, complemented
130#17988746C2211yescharacteristic, complemented
131#17988742C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988741C2211yescharacteristic, complemented
134#17988741C2211yescharacteristic, complemented
135#17988736C2211yescharacteristic
136#17988736C2211yescharacteristic, complemented
137#17988736C2211yescharacteristic, complemented
138#17988733C2211yescharacteristic, complemented
139#17988733C2211yescharacteristic, complemented
140#17988732C2211yescharacteristic, complemented
141#17988732C2211yescharacteristic, complemented
142#17988731C2211yescharacteristic, complemented
143#17988729C2211yescharacteristic, complemented
144#17988728C2211yescharacteristic, complemented
145#17988728C2211yescharacteristic, complemented
146#17988727C2211yescharacteristic
147#17988727C2211yescharacteristic
148#17988727C2211yescharacteristic, complemented
149#17988727C2211yescharacteristic, complemented
150#17988727C2211yescharacteristic, complemented
151#17988727C2211yescharacteristic, complemented
152#17988726C2211yescharacteristic, complemented
153#17988726C2211yescharacteristic, complemented
154#17988725C2211yescharacteristic
155#17988724C2211yescharacteristic
156#17988724C2211yescharacteristic
157#17988724C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic
159#17988692C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic, complemented
162#17988687C2211yescharacteristic, complemented
163C4×#11924018C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic, complemented
165C4×#11924017C2211yescharacteristic, complemented
166C4×#11924016C2211yescharacteristic, complemented
167#17988666C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic
172#17988657C2211yescharacteristic, complemented
173C8×D292C2211yescharacteristic, complemented
174#17988652C2211yescharacteristic
175#17988648C2211yescharacteristic, complemented
176#17988594C2211yescharacteristic, complemented
177#17988594C2211yescharacteristic, complemented
178#17988594C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988580C2211yescharacteristic, complemented
181#103×D73C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic
189#536×C73C2211yescharacteristic, complemented
190#497×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#487×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#461×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#451×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic
201#448×C73C2211yescharacteristic
202#433×C73C2211yescharacteristic, complemented
203#14556638—42no—
204#14556638—42no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C22×Dic146—21no—
215C22×Dic146—21no—
216C22×Dic146C2311yescharacteristic
217C2×Q8×D73—21no—
218C2×Q8×D73—21no—
219C2×Q8×D73—42no—
220C2×Q8×D73—42no—
221C2×Q8×D73C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C2×Q8×D73C2311yescharacteristic
224C2×Q8×D73C2311yescharacteristic
225C2×Q8×D73C2311yescharacteristic
226C2×Q8×D73C2311yescharacteristic
227C22×D292—21no—
228C2×D4×D73—21no—
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C22×C4×D73—21no—
232C22×C4×D73C2311yescharacteristic
233#14556623—42no—
234#14556623—42no—
235#14556623—42no—
236#14556615—42no—
237#14556612—42no—
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924017C2311yescharacteristic
241C2×#11924017C2311yescharacteristic
242C2×#11924017C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249C2×#11924015C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252SD16×D73—42no—
253SD16×D73—42no—
254SD16×D73—42no—
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924011C2311yescharacteristic
258C2×#11924011C2311yescharacteristic
259C2×#11924011C2311yescharacteristic
260C2×#11924011C2311yescharacteristic
261C2×C8×D73C2311yescharacteristic
262C2×C8×D73C2311yescharacteristic
263C2×C8×D73C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265#14556590—21no—
266#14556590—21no—
267#14556590—21no—
268#14556590—21no—
269#14556589—21no—
270#14556588—21no—
271#14556588C2311yescharacteristic
272#14556587—21no—
273#14556585—21no—
274#14556584—21no—
275#14556583C2311yescharacteristic
276#14556581—21no—
277#14556580—21no—
278#14556580—21no—
279#14556580—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556575D411yescharacteristic
292#14556575D411yescharacteristic
293#14556574—21no—
294#14556574—21no—
295#14556574—21no—
296#14556573—21no—
297#14556573—21no—
298#14556572—21no—
299#14556571D411yescharacteristic
300#14556571D411yescharacteristic
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556569—21no—
310#14556568—21no—
311#14556568—21no—
312#14556568—21no—
313#14556568—21no—
314#14556567—21no—
315#14556567C2311yescharacteristic
316#14556567C2311yescharacteristic
317#14556567C2311yescharacteristic
318#14556567C2311yescharacteristic
319#14556567C2311yescharacteristic
320#14556567C2311yescharacteristic
321#14556567C2311yescharacteristic
322#14556567C2311yescharacteristic
323#14556566—21no—
324#14556566—21no—
325#14556566—21no—
326#14556566—21no—
327#14556566D411yescharacteristic
328#14556566D411yescharacteristic
329#14556566C2311yescharacteristic
330#14556566C2311yescharacteristic
331#14556566C2311yescharacteristic
332#14556566C2311yescharacteristic
333#14556565—21no—
334#14556565C2311yescharacteristic
335#14556565C2311yescharacteristic
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556564—21no—
346#14556564—21no—
347#14556564—21no—
348#14556563—21no—
349#14556562C2311yescharacteristic
350#14556562C2311yescharacteristic
351#14556562C2311yescharacteristic
352#14556562C2311yescharacteristic
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556561—21no—
359#14556561D411yescharacteristic
360#14556561D411yescharacteristic
361#14556559—21no—
362#14556559—21no—
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
375C4×D292C2311yescharacteristic
376#14556553—21no—
377#14556553—21no—
378#14556553—21no—
379#14556553—21no—
380#14556553—21no—
381C4×C22⋊D73—21no—
382C4×C22⋊D73—21no—
383C4×C22⋊D73—21no—
384#14556551—21no—
385#14556551—21no—
386#14556551—21no—
387#14556551—21no—
388#14556551—21no—
389#14556550C2311yescharacteristic
390#14556549—21no—
391#14556549C2311yescharacteristic
392#14556549C2311yescharacteristic
393#14556548—21no—
394#14556547—21no—
395#14556547—21no—
396C4⋊C4×D73C2311yescharacteristic
397C4⋊C4×D73C2311yescharacteristic
398C22⋊C4×D73—21no—
399C22⋊C4×D73—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#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556515C2311yescharacteristic
422#14556515C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556513C2311yescharacteristic
430#14556513C2311yescharacteristic
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×Q8×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×Q16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C4⋊Q8×C73C2311yescharacteristic
458C4⋊Q8×C73C2311yescharacteristic
459C4⋊Q8×C73C2311yescharacteristic
460#126×C73—21no—
461#124×C73—21no—
462#124×C73C2311yescharacteristic
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466#123×C73—21no—
467#123×C73—21no—
468C22⋊Q8×C73—21no—
469C22⋊Q8×C73—21no—
470C22⋊Q8×C73—21no—
471C22⋊Q8×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473C4×Q8×C73C2311yescharacteristic
474C4×D4×C73C2311yescharacteristic
475#117×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73C2×D411yescharacteristic
493#11924029—41no—
494#11924029—41no—
495#11924029—41no—
496#11924029—41no—
497#11924029—82no—
498#11924028—44no—
499#11924028—41no—
500#11924028—41no—
501#11924027—22no—
502#11924027—22no—
503#11924027—41no—
504#11924027—41no—
505#11924027—44no—
506#11924027—44no—
507C2×Dic146—21no—
508C2×Dic146—22no—
509C2×Dic146—22no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—44no—
517C2×Dic146—44no—
518C2×Dic146C2×D411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—22no—
522Q8×D73—22no—
523Q8×D73—22no—
524Q8×D73—22no—
525Q8×D73—22no—
526Q8×D73—22no—
527Q8×D73—41no—
528Q8×D73—41no—
529Q8×D73—41no—
530Q8×D73—41no—
531Q8×D73—41no—
532Q8×D73—41no—
533Q8×D73—44no—
534Q8×D73—44no—
535C2×D292—21no—
536C2×D292—21no—
537C2×D292—21no—
538C2×D292—21no—
539C2×D292—21no—
540C2×D292—21no—
541C2×D292—21no—
542C2×D292—21no—
543C2×D292—82no—
544C2×D292C2×D411yescharacteristic
545C2×D292C2×D411yescharacteristic
546C2×D292C2×D411yescharacteristic
547C2×D292C2×D411yescharacteristic
548C2×D292C2×D411yescharacteristic
549C2×D292C2411yescharacteristic
550C2×D292C2411yescharacteristic
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—21no—
560C2×C22⋊D73—21no—
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563D4×D73—41no—
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—82no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73C2×D411yescharacteristic
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—41no—
585C2×C4×D73—41no—
586C2×C4×D73—44no—
587C2×C4×D73C2×D411yescharacteristic
588C2×C4×D73C2×D411yescharacteristic
589C2×C4×D73C2411yescharacteristic
590C2×C4×D73C2411yescharacteristic
591C2×C4×D73C2411yescharacteristic
592C2×C4×D73C2411yescharacteristic
593#11924018—22no—
594#11924018—22no—
595#11924017—22no—
596#11924017—22no—
597#11924017—22no—
598#11924017—22no—
599#11924016—22no—
600#11924016—22no—
601#11924015—41no—
602#11924015—41no—
603#11924015—41no—
604#11924015—41no—
605#11924015—41no—
606#11924015—41no—
607#11924013—41no—
608#11924013—41no—
609#11924011—41no—
610#11924011—41no—
611#11924011—41no—
612#11924011—41no—
613C2×#10596831C2411yescharacteristic
614C2×#10596831C2411yescharacteristic
615C2×#10596831C2411yescharacteristic
616C2×#10596831C2411yescharacteristic
617C8×D73—41no—
618C8×D73—41no—
619C8×D73—41no—
620C8×D73—41no—
621C4⋊Dic73C2×D411yescharacteristic
622C4⋊Dic73C2×D411yescharacteristic
623C4⋊Dic73C2×D411yescharacteristic
624C4⋊Dic73C2×D411yescharacteristic
625C4⋊Dic73C2411yescharacteristic
626C4⋊Dic73C2411yescharacteristic
627C4⋊Dic73C2411yescharacteristic
628C4⋊Dic73C2411yescharacteristic
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—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#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005C2×D411yescharacteristic
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676C4×Dic73—21no—
677C4×Dic73—21no—
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73—21no—
683#41×C73—41no—
684#41×C73—41no—
685C2×Q8×C73—21no—
686C2×Q8×C73—21no—
687C2×Q8×C73—41no—
688C2×Q8×C73—41no—
689C2×Q8×C73C2411yescharacteristic
690C2×Q8×C73C2411yescharacteristic
691C2×Q8×C73C2411yescharacteristic
692C2×Q8×C73C2411yescharacteristic
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73C2411yescharacteristic
696C2×D4×C73C2411yescharacteristic
697C22×C4×C73—21no—
698C22×C4×C73—21no—
699C22×C4×C73—21no—
700C22×C4×C73C2411yescharacteristic
701Q16×C73—41no—
702Q16×C73—41no—
703Q16×C73—41no—
704SD16×C73—41no—
705SD16×C73—41no—
706SD16×C73—41no—
707SD16×C73—41no—
708D8×C73—41no—
709C2×C8×C73C2411yescharacteristic
710C2×C8×C73C2411yescharacteristic
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C4⋊C4×C73—21no—
714C4⋊C4×C73—21no—
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73C2×D411yescharacteristic
721C4⋊C4×C73C2×D411yescharacteristic
722C4⋊C4×C73C2411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73C2×D411yescharacteristic
734C22⋊C4×C73C2×D411yescharacteristic
735C42×C73—21no—
736C42×C73C2411yescharacteristic
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73C22×D411yescharacteristic
741C22×D73—22no—
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—41no—
745C22×D73—41no—
746C22×D73—42no—
747C22×D73—81no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73C22×D411yescharacteristic
753C22×D73C22×D411yescharacteristic
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—21no—
761Q8×C73—21no—
762Q8×C73—21no—
763Q8×C73—21no—
764Q8×C73—42no—
765Q8×C73—81no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—42no—
771D4×C73—81no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
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—42no—
782C2×C4×C73—81no—
783C2×C4×C73C22×D411yescharacteristic
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C2511yescharacteristic
789C22⋊D73—41no—
790C22⋊D73—41no—
791C22⋊D73—42no—
792C22⋊D73—42no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—81no—
796C22⋊D73—81no—
797C22⋊D73—81no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C2×Dic73—24no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—21no—
807C2×Dic73—21no—
808C2×Dic73—41no—
809C2×Dic73—42no—
810C2×Dic73—42no—
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814C2×Dic73C22×D411yescharacteristic
815D292—22no—
816D292—22no—
817D292—21no—
818D292—21no—
819D292—21no—
820D292—21no—
821D292—41no—
822D292—41no—
823D292—41no—
824D292—42no—
825D292—81no—
826D292—81no—
827D292—81no—
828D292—81no—
829D292—81no—
830D292—81no—
831D292—81no—
832C4×D73—21no—
833C4×D73—21no—
834C4×D73—21no—
835C4×D73—21no—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—41no—
841C4×D73—41no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—81no—
850C4×D73—81no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73—81no—
854Dic146—24no—
855Dic146—21no—
856Dic146—21no—
857Dic146—41no—
858Dic146—42no—
859Dic146—42no—
860Dic146—42no—
861Dic146—42no—
862Dic146—42no—
863Dic146—42no—
864Dic146H(5,𝔽2)12yes—
865Dic146H(5,𝔽2)12yes—
866C8×C73—21no—
867C8×C73—21no—
868C8×C73—21no—
869C8×C73—21no—
870#10596831—21no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73C23×D411yescharacteristic
884C2×D73—21no—
885C2×D73—21no—
886C2×D73—21no—
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—44no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—162no—
903C2×D73—162no—
904C2×D73#57712yes—
905C4×C73—21no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—21no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73—41no—
916C4×C73C2×H(5,𝔽2)11yescharacteristic
917C4×C73C2×H(5,𝔽2)11yescharacteristic
918Dic73—22no—
919Dic73—22no—
920Dic73—21no—
921Dic73—21no—
922Dic73—21no—
923Dic73—21no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61611—731nomaximal, Sylow
929C2×C73—41no—
930C2×C73—81no—
931C2×C73—81no—
932C2×C73#348411yescharacteristic
933C2×C73C2×#57711yescharacteristic
934C2×C73#358611yescharacteristic
935D73—22no—
936D73—41no—
937D73—41no—
938D73—41no—
939D73—81no—
940D73—81no—
941#3542—731no—
942#3486—731no—
943#3329—731no—
944#3326—731no—
945#3321—731no—
946#3320—731no—
947#3312—731no—
948#3308—731no—
949#3300—731no—
950#3298—731no—
951#3282—731no—
952D4×SD16—731no—
953#3278—731no—
954#3275—731no—
955#3271—731no—
956#3266—731no—
957#3266—731no—
958#3265—731no—
959#3225D7311yescharacteristic, complemented
960#3221—731no—
961#3201—731no—
962#3200—731no—
963#3194—731no—
964#3191—731no—
965#3126—731no—
966#3121—731no—
967#3013—731no—
968#3010—731no—
969#3004—731no—
970C2×#448—731no—
971#2976—731no—
972C73#6161111yescharacteristic, complemented, Sylow
973C2×2−1+4—731no—
974C23×Q8—731no—
975C2×#137—731no—
976C2×#137—731no—
977C2×#137—731no—
978C2×AGL(1,ℤ/8)—731no—
979C2×#135—731no—
980C22×SD16—731no—
981C22×SD16—731no—
982C22×SD16—731no—
983#562—1461no—
984#560—1461no—
985#555—731no—
986#553—731no—
987#552—731no—
988#551—1461no—
989#550—731no—
990D4×Q8—731no—
991D4×Q8—731no—
992D4×Q8—731no—
993D4×Q8—731no—
994D4×Q8—1461no—
995D4×Q8—1461no—
996#548—731no—
997#548—731no—
998#548—731no—
999#548—731no—
1000#548—1461no—
1001#548—1461no—
1002#547—731no—
1003#546—731no—
1004#546—731no—
1005#546—1461no—
1006D42—731no—
1007#542C2×D7311yescharacteristic
1008#540—731no—
1009#540—1461no—
1010#538—1461no—
1011#537—731no—
1012#536—731no—
1013#536—1461no—
1014#536—1461no—
1015#536C2×D7311yescharacteristic, complemented
1016#535—731no—
1017#535—1461no—
1018#534—1461no—
1019#525—731no—
1020#525—731no—
1021#525—731no—
1022#525—1461no—
1023#525—1461no—
1024C2×#121—731no—
1025#519—731no—
1026#497C2×D7311yescharacteristic, complemented
1027#496—731no—
1028#495C2×D7311yescharacteristic, complemented
1029#492—731no—
1030#491—731no—
1031#489C2×D7311yescharacteristic, complemented
1032#488—731no—
1033#487C2×D7311yescharacteristic, complemented
1034#485—731no—
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#484—731no—
1039#483—731no—
1040#483—731no—
1041#482—731no—
1042#482—731no—
1043#482—731no—
1044#482—731no—
1045#480—731no—
1046#479—731no—
1047#479—731no—
1048#477—731no—
1049#475—731no—
1050#470—731no—
1051#469—731no—
1052#469—731no—
1053#468—731no—
1054#468—731no—
1055#468—731no—
1056#468—731no—
1057#468—731no—
1058#467—731no—
1059#467—731no—
1060#466—731no—
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465—731no—
1065#465—731no—
1066#464—731no—
1067#464—731no—
1068#464C2×D7311yescharacteristic, complemented
1069#463—731no—
1070#463—731no—
1071#463C2×D7311yescharacteristic, complemented
1072#462C2×D7311yescharacteristic, complemented
1073#461—731no—
1074#461—731no—
1075#461C2×D7311yescharacteristic, complemented
1076#460—731no—
1077#460—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452C2×D7311yescharacteristic, complemented
1083#451—731no—
1084#451—731no—
1085#451—731no—
1086#451—731no—
1087#451C2×D7311yescharacteristic, complemented
1088#450—731no—
1089#450—731no—
1090#450—731no—
1091#449—731no—
1092#449—731no—
1093#449—731no—
1094#449—731no—
1095#449—731no—
1096#449—731no—
1097#449C2×D7311yescharacteristic
1098#448—731no—
1099#448—731no—
1100#448—731no—
1101#448—731no—
1102#448—731no—
1103#448—731no—
1104#448—731no—
1105#448—731no—
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448—731no—
1111#448—731no—
1112#448C2×D7311yescharacteristic
1113#447—731no—
1114#441—731no—
1115#440—731no—
1116#440—731no—
1117#440—731no—
1118C4×Q16—731no—
1119C4×SD16—731no—
1120C4×SD16—731no—
1121C4×SD16—731no—
1122#436—731no—
1123#436—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435—731no—
1128C8×D4—731no—
1129C8×D4—731no—
1130#433—731no—
1131#433C2×D7311yescharacteristic, complemented
1132#419—731no—
1133#419—731no—
1134#419—731no—
1135#417—731no—
1136#416—731no—
1137C2×#103—731no—
1138C2×#103—731no—
1139C2×#103—731no—
1140#408—731no—
1141#408—731no—
1142#407—731no—
1143C2×C22⋊C8—731no—
11442−1+4—2922no—
11452−1+4—2922no—
1146C2×#41—731no—
1147C2×#41—731no—
1148C2×#41—731no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—1461no—
1152C2×#41—1461no—
1153C2×#41—1461no—
1154C2×#41—1461no—
1155C2×#41C22×D7311yescharacteristic
1156C22×Q8—2922no—
1157C22×Q8—2922no—
1158C22×Q8—731no—
1159C22×Q8—731no—
1160C22×Q8—731no—
1161C22×Q8—731no—
1162C22×Q8—731no—
1163C22×Q8—731no—
1164C22×Q8—731no—
1165C22×Q8—1461no—
1166C22×Q8—1461no—
1167C22×Q8—1461no—
1168C22×Q8—1461no—
1169C22×Q8C22×D7311yescharacteristic
1170C22×D4—731no—
1171C22×D4—731no—
1172C22×D4—1461no—
1173C22×D4—1461no—
1174C23×C4—731no—
1175C23×C4—1461no—
1176#137—2922no—
1177#137—2922no—
1178#137—2922no—
1179AGL(1,ℤ/8)—2922no—
1180#135—2922no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×Q16C22×D7311yescharacteristic
1184C2×Q16C22×D7311yescharacteristic
1185C2×Q16C22×D7311yescharacteristic
1186C2×SD16—2922no—
1187C2×SD16—2922no—
1188C2×SD16—2922no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16—731no—
1200C2×SD16—731no—
1201C2×SD16C22×D7311yescharacteristic
1202C2×SD16C22×D7311yescharacteristic
1203C2×SD16C22×D7311yescharacteristic
1204C2×SD16C22×D7311yescharacteristic
1205C2×D8—731no—
1206C2×D8—731no—
1207C2×D8C22×D7311yescharacteristic
1208C2×M16—731no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16—731no—
1212C22×C8—731no—
1213C22×C8—731no—
1214C22×C8—731no—
1215C22×C8—731no—
1216C4⋊Q8—1461no—
1217C4⋊Q8—1461no—
1218C4⋊Q8—1461no—
1219C4⋊Q8—1461no—
1220C4⋊Q8—1461no—
1221C4⋊Q8C22×D7311yescharacteristic
1222C4⋊Q8C22×D7311yescharacteristic
1223C4⋊Q8C22×D7311yescharacteristic
1224#127—731no—
1225#127—1461no—
1226#127—1461no—
1227#126—21no—
1228#126—1461no—
1229#126—1461no—
1230#125—731no—
1231#125—1461no—
1232#124—21no—
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#124C22×D7311yescharacteristic
1242#124C22×D7311yescharacteristic
1243#124C22×D7311yescharacteristic
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—731no—
1248#123—731no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
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—731no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8C22×D7311yescharacteristic
1289#121—731no—
1290#121—731no—
1291#121—731no—
1292#121—731no—
1293#121—731no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
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#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121C22×D7311yescharacteristic
1320#120—731no—
1321#120—731no—
1322#120—1461no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—731no—
1334C4×Q8—1461no—
1335C4×Q8—1461no—
1336C4×Q8C22×D7311yescharacteristic
1337C4×D4—731no—
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×D4C22×D7311yescharacteristic
1358#117—731no—
1359#117—731no—
1360#117—731no—
1361#117—1461no—
1362#117—1461no—
1363#117—1461no—
1364#117—1461no—
1365#117C22×D7311yescharacteristic
1366C2×C4⋊C4—731no—
1367C2×C4⋊C4—731no—
1368C2×C22⋊C4—1461no—
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371#107—731no—
1372#107—731no—
1373#107—731no—
1374#107—731no—
1375#106—731no—
1376#106—731no—
1377#106—731no—
1378#106—731no—
1379C4⋊C8—731no—
1380C4⋊C8—731no—
1381C4⋊C8C22×D7311yescharacteristic
1382C4⋊C8C22×D7311yescharacteristic
1383#103—731no—
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#103—731no—
1399#103C22×D7311yescharacteristic
1400#103C22×D7311yescharacteristic
1401#103C22×D7311yescharacteristic
1402#103C22×D7311yescharacteristic
1403#103C22×D7311yescharacteristic
1404#103C22×D7311yescharacteristic
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415C22⋊C8—731no—
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⋊C8C22×D7311yescharacteristic
1426C22⋊C8C22×D7311yescharacteristic
1427#97—731no—
1428#97C22×D7311yescharacteristic
1429C4×C8—731no—
1430C4×C8C22×D7311yescharacteristic
1431C24—731no—
1432C24—1461no—
1433C24—1461no—
1434#41—41no—
1435#41—41no—
1436#41—2921no—
1437#41—2921no—
1438#41—2924no—
1439#41—2921no—
1440#41—2921no—
1441#41—2924no—
1442#41—2924no—
1443#41—2921no—
1444#41—2921no—
1445#41—2921no—
1446#41—2921no—
1447#41—5842no—
1448#41—1462no—
1449#41—1462no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—2924no—
1455C2×Q8—2924no—
1456C2×Q8—2924no—
1457C2×Q8—2924no—
1458C2×Q8—2921no—
1459C2×Q8—2921no—
1460C2×Q8—2921no—
1461C2×Q8—2921no—
1462C2×Q8—2921no—
1463C2×Q8—2921no—
1464C2×Q8—731no—
1465C2×Q8—731no—
1466C2×Q8—731no—
1467C2×Q8—1461no—
1468C2×Q8—1461no—
1469C2×Q8—1461no—
1470C2×Q8—1461no—
1471C2×Q8—1461no—
1472C2×Q8—1461no—
1473C2×Q8—1462no—
1474C2×Q8—1462no—
1475C2×Q8—1462no—
1476C2×Q8—1462no—
1477C2×Q8—1462no—
1478C2×Q8—1462no—
1479C2×Q8—1462no—
1480C2×Q8—1462no—
1481C2×Q8—1461no—
1482C2×Q8C23×D7311yescharacteristic
1483C2×Q8C23×D7311yescharacteristic
1484C2×Q8C23×D7311yescharacteristic
1485C2×Q8C23×D7311yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2921no—
1491C2×D4—2921no—
1492C2×D4—5842no—
1493C2×D4—5842no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
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
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—2921no—
1527C22×C4—2921no—
1528C22×C4—2924no—
1529C22×C4—731no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—1461no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4C23×D7311yescharacteristic
1552Q16—41no—
1553Q16—41no—
1554Q16—41no—
1555Q16—1462no—
1556Q16—1462no—
1557SD16—41no—
1558SD16—41no—
1559SD16—41no—
1560SD16—41no—
1561SD16—2921no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—1462no—
1568SD16—1462no—
1569SD16—1462no—
1570SD16—1462no—
1571SD16—1462no—
1572SD16—1462no—
1573D8—41no—
1574D8—2921no—
1575D8—2921no—
1576M16—2921no—
1577M16—2921no—
1578M16—2921no—
1579M16—2921no—
1580C2×C8—2921no—
1581C2×C8—2921no—
1582C2×C8—2921no—
1583C2×C8—2921no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8—731no—
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C2×C8C23×D7311yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—731no—
1604C4⋊C4—731no—
1605C4⋊C4—731no—
1606C4⋊C4—731no—
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⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4D4×D7311yescharacteristic
1624C4⋊C4D4×D7311yescharacteristic
1625C4⋊C4C23×D7311yescharacteristic
1626C4⋊C4C23×D7311yescharacteristic
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—731no—
1637C22⋊C4—731no—
1638C22⋊C4—731no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
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⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4D4×D7311yescharacteristic
1668C22⋊C4D4×D7311yescharacteristic
1669C42—21no—
1670C42—1461no—
1671C42—1461no—
1672C42—1461no—
1673C42—1461no—
1674C42—1461no—
1675C42—1461no—
1676C42—1461no—
1677C42C23×D7311yescharacteristic
1678C42C23×D7311yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—2921no—
1682C23—2921no—
1683C23—2922no—
1684C23—5841no—
1685C23—5841no—
1686C23—5841no—
1687C23—5841no—
1688C23—5841no—
1689C23—731no—
1690C23—731no—
1691C23—731no—
1692C23—731no—
1693C23—1462no—
1694C23—1461no—
1695C23—1461no—
1696C23C2×D4×D7311yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—42no—
1706Q8—81no—
1707Q8—2921no—
1708Q8—2922no—
1709Q8—2922no—
1710Q8—2922no—
1711Q8—2922no—
1712Q8—2922no—
1713Q8—2922no—
1714Q8—732no—
1715Q8—732no—
1716Q8—1464no—
1717Q8—1461no—
1718Q8—1461no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—42no—
1724D4—81no—
1725D4—2921no—
1726D4—2921no—
1727D4—2921no—
1728D4—2922no—
1729D4—2922no—
1730D4—2922no—
1731D4—2921no—
1732D4—2921no—
1733D4—2922no—
1734D4—2922no—
1735D4—5841no—
1736D4—5841no—
1737D4—5841no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—1462no—
1749D4—1462no—
1750D4—1461no—
1751D4—1461no—
1752D4—1461no—
1753D4—1461no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—81no—
1765C2×C4—2921no—
1766C2×C4—2921no—
1767C2×C4—2922no—
1768C2×C4—2922no—
1769C2×C4—2922no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2921no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—5841no—
1778C2×C4—5841no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—731no—
1783C2×C4—731no—
1784C2×C4—731no—
1785C2×C4—731no—
1786C2×C4—1461no—
1787C2×C4—1461no—
1788C2×C4—1461no—
1789C2×C4—1461no—
1790C2×C4—1464no—
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×C4—1461no—
1801C2×C4C2×D4×D7311yescharacteristic
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C24×D7311yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C8—1461no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—2924no—
1825C22—2921no—
1826C22—2921no—
1827C22—2921no—
1828C22—2921no—
1829C22—2921no—
1830C22—2921no—
1831C22—732no—
1832C22—11682no—
1833C22—11682no—
1834C22—1461no—
1835C22—1461no—
1836C22—1461no—
1837C22—1461no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22C22×D4×D7311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—1462no—
1862C4—1462no—
1863C4—1461no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4H(5,𝔽2)×D7311yescharacteristic
1868C4H(5,𝔽2)×D7311yescharacteristic
1869C2—41no—
1870C2—81no—
1871C2—81no—
1872C2—2921no—
1873C2—2921no—
1874C2—2921no—
1875C2—5841no—
1876C2—5841no—
1877C2—1462no—
1878C2#2262356511yescharacteristic
1879C2#577×D7311yescharacteristic
1880C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3225C2
socleC22×C73C23×D4
hypercenter#3225D73
hypocenterC73#61611
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #22624243C2semidirect
2. #22623580C2semidirect
3. #22622224C2semidirect
4. #22622191C2semidirect
5. #22622116C2semidirect
6. #22622109C2semidirect
7. #22621989C2semidirect
8. #22621921C2semidirect
9. #22621825C2semidirect
10. #22621795C2semidirect
11. #22621637C2semidirect
12. #22621630C2semidirect
13. #22621592C2semidirect
14. #22621561C2semidirect
15. #22621522C2semidirect
16. #22621440C2semidirect
17. #22621440C2semidirect
18. #22621432C2semidirect
19. #22620992C2semidirect
20. #22620817C2semidirect
21. #22620801C2semidirect
22. #22620743C2semidirect
23. #22620723C2semidirect
24. #22620223C2semidirect
25. #22620154C2semidirect
26. #22619250C2semidirect
27. #22619214C2semidirect
28. #22619166C2semidirect
29. #448×D73C2semidirect
30. #22618977C2semidirect
31. C73×#3225C2semidirect
32. C2×#14556638C22semidirect
33. C22×Q8×D73C22semidirect
34. C2×#14556623C22semidirect
35. C2×#14556623C22semidirect
36. C2×#14556623C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556612C22semidirect
41. C2×SD16×D73C22semidirect
50. #17989252C22semidirect
51. #17989252C22semidirect
52. #17989252C22semidirect
58. #17989245C22semidirect
59. #17989245C22semidirect
60. #17989245C22semidirect
70. #17989161C22semidirect
80. #17989094C22semidirect
82. #17989064C22semidirect
83. #17988977C22semidirect
84. #17988961C22semidirect
85. #17988955C22semidirect
86. #17988941C22semidirect
87. #17988927C22semidirect
88. #17988926C22semidirect
89. #17988926C22semidirect
90. #17988925C22semidirect
91. #17988921C22semidirect
92. #17988916C22semidirect
93. #17988916C22semidirect
94. #17988912C22semidirect
95. #17988912C22semidirect
96. #17988909C22semidirect
98. #17988899C22semidirect
99. #17988895C22semidirect
100. #17988895C22semidirect
101. #17988879C22semidirect
102. #17988869C22semidirect
103. #17988842C22semidirect
104. #17988839C22semidirect
106. #17988836C22semidirect
107. #17988836C22semidirect
108. #17988836C22semidirect
110. #17988830C22semidirect
111. #17988825C22semidirect
112. #17988825C22semidirect
115. #17988819C22semidirect
116. #17988819C22semidirect
117. #17988813C22semidirect
118. #17988813C22semidirect
119. #17988806C22semidirect
120. #17988806C22semidirect
121. #17988799C22semidirect
122. #17988799C22semidirect
123. #17988789C22semidirect
124. #17988789C22semidirect
125. #17988788C22semidirect
126. #17988788C22semidirect
127. #17988748C22semidirect
128. #17988748C22semidirect
129. #17988748C22semidirect
130. #17988746C22semidirect
131. #17988742C22semidirect
132. #17988741C22semidirect
133. #17988741C22semidirect
134. #17988741C22semidirect
136. #17988736C22semidirect
137. #17988736C22semidirect
138. #17988733C22semidirect
139. #17988733C22semidirect
140. #17988732C22semidirect
141. #17988732C22semidirect
142. #17988731C22semidirect
143. #17988729C22semidirect
144. #17988728C22semidirect
145. #17988728C22semidirect
148. #17988727C22semidirect
149. #17988727C22semidirect
150. #17988727C22semidirect
151. #17988727C22semidirect
152. #17988726C22semidirect
153. #17988726C22semidirect
157. #17988724C22semidirect
159. #17988692C22semidirect
160. #17988689C22semidirect
161. #17988689C22semidirect
162. #17988687C22semidirect
163. C4×#11924018C22semidirect
164. C4×#11924017C22semidirect
165. C4×#11924017C22semidirect
166. C4×#11924016C22semidirect
167. #17988666C22semidirect
168. #17988664C22semidirect
169. #17988660C22semidirect
170. #17988660C22semidirect
172. #17988657C22semidirect
173. C8×D292C22semidirect
175. #17988648C22semidirect
176. #17988594C22semidirect
177. #17988594C22semidirect
178. #17988594C22semidirect
179. #17988585C22semidirect
180. #17988580C22semidirect
181. #103×D73C22semidirect
182. #103×D73C22semidirect
183. #103×D73C22semidirect
184. #17988552C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. C22⋊C8×D73C22semidirect
189. #536×C73C22semidirect
190. #497×C73C22semidirect
191. #495×C73C22semidirect
192. #489×C73C22semidirect
193. #487×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #462×C73C22semidirect
197. #461×C73C22semidirect
198. #452×C73C22semidirect
199. #451×C73C22semidirect
202. #433×C73C22semidirect
959. #3225D73semidirect
972. C73#61611semidirect
1015. #536C2×D73semidirect
1026. #497C2×D73semidirect
1028. #495C2×D73semidirect
1031. #489C2×D73semidirect
1033. #487C2×D73semidirect
1068. #464C2×D73semidirect
1071. #463C2×D73semidirect
1072. #462C2×D73semidirect
1075. #461C2×D73semidirect
1082. #452C2×D73semidirect
1087. #451C2×D73semidirect
1131. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242432
#226235802
#226222242
#226221912
#226221162
#226221092
#226219892
#226219212
#226218252
#226217952
#226216372
#226216302
#226215922
#226215612
#226215222
#226214402
#226214322
#226209922
#226208172
#226208012
#226207432
#226207232
#226202232
#226201542
#226192502
#226192142
#226191662
#448×D732
#226189772
C73×#32252
#6161173