Finite Group Databasebeta

← #33971818

Subgroups — #33971818

Order 18688.

2088 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#22624159C211yesmaximal, characteristic, complemented
2#22623602C211yesmaximal, characteristic, complemented
3#22622233C211yesmaximal, characteristic, complemented
4#22622232C211yesmaximal, characteristic, complemented
5#22622008C211yesmaximal, characteristic, complemented
6#22621921C211yesmaximal, characteristic, complemented
7#22621920C211yesmaximal, characteristic, complemented
8#22621805C211yesmaximal, characteristic, complemented
9#22621801C211yesmaximal, characteristic, complemented
10#22621612C211yesmaximal, characteristic, complemented
11#22621609C211yesmaximal, characteristic, complemented
12#22621585C211yesmaximal, characteristic, complemented
13#22621583C211yesmaximal, characteristic, complemented
14#22621490C211yesmaximal, characteristic, complemented
15#22621488C211yesmaximal, characteristic, complemented
16#22621446C211yesmaximal, characteristic, complemented
17#22621438C211yesmaximal, characteristic, complemented
18#22621045C211yesmaximal, characteristic, complemented
19#22621041C211yesmaximal, characteristic, complemented
20#22620831C211yesmaximal, characteristic, complemented
21#22620829C211yesmaximal, characteristic, complemented
22#22620736C211yesmaximal, characteristic, complemented
23#22620702C211yesmaximal, characteristic, complemented
24#22620198C211yesmaximal, characteristic, complemented
25#22620197C211yesmaximal, characteristic, complemented
26#22619250C211yesmaximal, characteristic, complemented
27#22619248C211yesmaximal, characteristic, complemented
28#22619186C211yesmaximal, characteristic, complemented
29C2×#17988733C211yesmaximal, characteristic, complemented
30#22618980C211yesmaximal, characteristic, complemented
31C73×#3314C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic, complemented
33C22×#11924027C2211yescharacteristic
34C2×#14556624C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×#14556620C2211yescharacteristic, complemented
37C2×#14556620C2211yescharacteristic, complemented
38C2×#14556612C2211yescharacteristic, complemented
39C2×#14556611C2211yescharacteristic, complemented
40C22×#11924017C2211yescharacteristic
41C22×#11924013C2211yescharacteristic
42#17989335—21no—
43#17989333—21no—
44#17989292C2211yescharacteristic
45D4×Dic146C2211yescharacteristic
46#17989250C2211yescharacteristic
47#17989249C2211yescharacteristic, complemented
48#17989247C2211yescharacteristic, complemented
49#17989245C2211yescharacteristic, complemented
50#17989243C2211yescharacteristic, complemented
51#17989241C2211yescharacteristic, complemented
52#17989240C2211yescharacteristic, complemented
53#17989238C2211yescharacteristic, complemented
54#17989237—21no—
55#17989236C2211yescharacteristic, complemented
56#17989235—21no—
57#17989233—21no—
58#17989233C2211yescharacteristic
59#17989231C2211yescharacteristic
60#17989228—21no—
61#17989228C2211yescharacteristic
62#17989227—21no—
63#17989224—21no—
64#17989212—21no—
65#17989211C2211yescharacteristic, complemented
66#17989209C2211yescharacteristic, complemented
67#17989185—21no—
68#17989170—21no—
69#17989168C2211yescharacteristic, complemented
70#17989167—21no—
71#17989167C2211yescharacteristic, complemented
72#17989166C2211yescharacteristic, complemented
73#17989164—21no—
74#17989159—21no—
75#17989157C2211yescharacteristic, complemented
76#17989096C2211yescharacteristic
77#17989093—21no—
78C2×#14556568—21no—
79C22⋊Q8×D73C2211yescharacteristic
80C22⋊Q8×D73C2211yescharacteristic
81C2×#14556566C2211yescharacteristic
82#17989066C2211yescharacteristic, complemented
83#17988981C2211yescharacteristic, complemented
84#17988980C2211yescharacteristic, complemented
85#17988969C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988939C2211yescharacteristic, complemented
89#17988936C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988922C2211yescharacteristic
94#17988922C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic, complemented
96#17988921C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988879C2211yescharacteristic, complemented
102#17988865C2211yescharacteristic, complemented
103#17988836C2211yescharacteristic, complemented
104#17988836C2211yescharacteristic, complemented
105#17988834C2211yescharacteristic, complemented
106#17988834C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988833C2211yescharacteristic, complemented
109#17988832C2211yescharacteristic, complemented
110#17988829C2211yescharacteristic, complemented
111#17988828C2211yescharacteristic
112#17988826C2211yescharacteristic
113#17988826C2211yescharacteristic
114#17988826C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988799C2211yescharacteristic, complemented
124#17988797C2211yescharacteristic, complemented
125#17988796C2211yescharacteristic, complemented
126#17988793C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988746C2211yescharacteristic, complemented
134#17988746C2211yescharacteristic, complemented
135#17988745C2211yescharacteristic
136#17988744C2211yescharacteristic, complemented
137#17988744C2211yescharacteristic, complemented
138#17988744C2211yescharacteristic, complemented
139#17988742C2211yescharacteristic
140#17988742C2211yescharacteristic, complemented
141#17988741C2211yescharacteristic, complemented
142#17988741C2211yescharacteristic, complemented
143#17988740C2211yescharacteristic
144#17988738C2211yescharacteristic
145#17988737C2211yescharacteristic
146#17988733C2211yescharacteristic
147#17988733C2211yescharacteristic
148#17988733C2211yescharacteristic
149#17988733C2211yescharacteristic
150#17988733C2211yescharacteristic
151#17988733C2211yescharacteristic
152#17988733C2211yescharacteristic
153#17988733C2211yescharacteristic
154#17988733C2211yescharacteristic, complemented
155#17988732C2211yescharacteristic, complemented
156#17988731C2211yescharacteristic, complemented
157#17988730C2211yescharacteristic, complemented
158#17988728C2211yescharacteristic, complemented
159#17988727C2211yescharacteristic, complemented
160#17988727C2211yescharacteristic, complemented
161#17988727C2211yescharacteristic, complemented
162#17988689C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988681C2211yescharacteristic, complemented
166C4×#11924018C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988664C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic
173#17988655C2211yescharacteristic, complemented
174D4×#10596831C2211yescharacteristic
175#17988650C2211yescharacteristic
176#17988649C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988585C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181C2×#14556514C2211yescharacteristic
182C2×#14556514C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic
187C2×#14556503C2211yescharacteristic
188#554×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic
192#480×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#467×C73C2211yescharacteristic
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic
203#14556638—42no—
204#14556638—42no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924027—21no—
212C2×#11924027—21no—
213C2×#11924027—21no—
214C2×#11924027—21no—
215C2×#11924027—42no—
216C2×#11924027—42no—
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic
220C2×#11924027C2311yescharacteristic
221C2×#11924027C2311yescharacteristic
222C22×Dic146—21no—
223C22×Dic146C2311yescharacteristic
224C22×Dic146C2311yescharacteristic
225C2×Q8×D73C2311yescharacteristic
226C2×Q8×D73C2311yescharacteristic
227C2×Q8×D73C2311yescharacteristic
228C22×D292—21no—
229C22×D292C2311yescharacteristic
230C22×C22⋊D73—21no—
231C23×Dic73—21no—
232C22×C4×D73C2311yescharacteristic
233#14556624—42no—
234#14556623—42no—
235#14556620—42no—
236#14556620—42no—
237#14556612—42no—
238#14556611—42no—
239C2×Dic292C2311yescharacteristic
240C2×Dic292C2311yescharacteristic
241C2×Dic292C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924018C2311yescharacteristic
244C2×#11924018C2311yescharacteristic
245C2×#11924018C2311yescharacteristic
246C2×#11924017—42no—
247C2×#11924017C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924017C2311yescharacteristic
250C2×#11924017C2311yescharacteristic
251C2×#11924017C2311yescharacteristic
252C2×#11924017C2311yescharacteristic
253C2×#11924016C2311yescharacteristic
254C2×#11924016C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257C2×#11924013—42no—
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C22×#10596831C2311yescharacteristic
266C22×#10596831C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268#14556591C2311yescharacteristic
269#14556590—21no—
270#14556590—21no—
271#14556590C2311yescharacteristic
272#14556589C2311yescharacteristic
273#14556586—21no—
274#14556585—21no—
275#14556581—21no—
276#14556580—21no—
277#14556580C2311yescharacteristic
278#14556579—21no—
279#14556579—21no—
280#14556579C2311yescharacteristic
281#14556578C2311yescharacteristic
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#14556576—21no—
292#14556576D411yescharacteristic
293#14556575—21no—
294#14556575—21no—
295#14556574—21no—
296#14556574—21no—
297#14556573—21no—
298#14556573—21no—
299#14556573D411yescharacteristic
300#14556572—21no—
301#14556572—21no—
302#14556571—21no—
303#14556571—21no—
304#14556571C2311yescharacteristic
305#14556571C2311yescharacteristic
306#14556571C2311yescharacteristic
307#14556571C2311yescharacteristic
308#14556570—21no—
309#14556570C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556570C2311yescharacteristic
312#14556569—21no—
313#14556569—21no—
314#14556569—21no—
315#14556569—21no—
316#14556569—21no—
317#14556569—21no—
318#14556569—21no—
319#14556569—21no—
320#14556569D411yescharacteristic
321#14556568—21no—
322#14556568—21no—
323#14556568—21no—
324#14556568—21no—
325#14556568—21no—
326#14556568—21no—
327#14556568—21no—
328#14556568—21no—
329#14556568—21no—
330#14556568—21no—
331#14556568D411yescharacteristic
332#14556567—21no—
333#14556567—21no—
334#14556567C2311yescharacteristic
335#14556567C2311yescharacteristic
336#14556566—21no—
337#14556566—21no—
338#14556566—21no—
339#14556566—21no—
340#14556566—21no—
341#14556566—21no—
342#14556566C2311yescharacteristic
343#14556566C2311yescharacteristic
344#14556566C2311yescharacteristic
345#14556566C2311yescharacteristic
346#14556566C2311yescharacteristic
347#14556565—21no—
348#14556565—21no—
349#14556565—21no—
350#14556565C2311yescharacteristic
351#14556564—21no—
352#14556564—21no—
353#14556564—21no—
354#14556564—21no—
355#14556564—21no—
356#14556564—21no—
357#14556564D411yescharacteristic
358#14556563—21no—
359#14556563—21no—
360#14556563—21no—
361#14556563—21no—
362#14556563D411yescharacteristic
363#14556562—21no—
364#14556562C2311yescharacteristic
365#14556561—21no—
366#14556561D411yescharacteristic
367#14556560—21no—
368#14556559—21no—
369#14556559D411yescharacteristic
370C4×Dic146C2311yescharacteristic
371#14556556C2311yescharacteristic
372#14556556C2311yescharacteristic
373C4×D292—21no—
374C4×D292C2311yescharacteristic
375C4×D292C2311yescharacteristic
376D4×Dic73—21no—
377D4×Dic73—21no—
378D4×Dic73C2311yescharacteristic
379#14556553—21no—
380#14556553C2311yescharacteristic
381C4×C22⋊D73—21no—
382C4×C22⋊D73—21no—
383C4×C22⋊D73C2311yescharacteristic
384C4×C22⋊D73C2311yescharacteristic
385#14556551—21no—
386#14556551—21no—
387#14556551—21no—
388#14556548C2311yescharacteristic
389#14556547—21no—
390C2×C4⋊Dic73—21no—
391C2×#11924007—21no—
392C2×#11924007—21no—
393C4⋊C4×D73—21no—
394C4⋊C4×D73—21no—
395C4⋊C4×D73C2311yescharacteristic
396C4⋊C4×D73C2311yescharacteristic
397C4⋊C4×D73C2311yescharacteristic
398C2×C22⋊Dic73—21no—
399C2×#11924005—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556524C2311yescharacteristic
408#14556524C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556514C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556513C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556501C2311yescharacteristic
445C4×#10596831C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454C4⋊Q8×C73C2311yescharacteristic
455#125×C73—21no—
456#124×C73C2311yescharacteristic
457#123×C73—21no—
458C22⋊Q8×C73—21no—
459C22⋊Q8×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#120×C73—21no—
466C4×Q8×C73C2311yescharacteristic
467C4×D4×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C2×C4⋊C4×C73C2311yescharacteristic
471C2×C4⋊C4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73C2×D411yescharacteristic
492#11924029—41no—
493#11924029—41no—
494#11924029—82no—
495#11924028—41no—
496#11924028—41no—
497#11924028—41no—
498#11924028—41no—
499#11924028—44no—
500#11924028—82no—
501#11924027—22no—
502#11924027—22no—
503#11924027—22no—
504#11924027—22no—
505#11924027—22no—
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—22no—
516C2×Dic146—22no—
517C2×Dic146—21no—
518C2×Dic146—21no—
519C2×Dic146—21no—
520C2×Dic146—21no—
521C2×Dic146—21no—
522C2×Dic146—21no—
523C2×Dic146—41no—
524C2×Dic146—41no—
525C2×Dic146—44no—
526C2×Dic146C2×D411yescharacteristic
527C2×Dic146C2411yescharacteristic
528C2×Dic146C2411yescharacteristic
529C2×Dic146C2411yescharacteristic
530C2×Dic146C2411yescharacteristic
531Q8×D73—22no—
532Q8×D73—41no—
533Q8×D73—41no—
534Q8×D73—41no—
535Q8×D73—41no—
536Q8×D73—41no—
537C2×D292—21no—
538C2×D292—21no—
539C2×D292—21no—
540C2×D292—21no—
541C2×D292—21no—
542C2×D292—21no—
543C2×D292—21no—
544C2×D292—41no—
545C2×D292—41no—
546C2×D292—82no—
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—44no—
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
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—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×D73C2×D411yescharacteristic
587C2×C4×D73C2×D411yescharacteristic
588C2×C4×D73C2411yescharacteristic
589C2×C4×D73C2411yescharacteristic
590C2×C4×D73C2411yescharacteristic
591Dic292—22no—
592Dic292—41no—
593Dic292—41no—
594#11924018—22no—
595#11924018—41no—
596#11924018—41no—
597#11924018—41no—
598#11924017—22no—
599#11924017—22no—
600#11924017—41no—
601#11924017—41no—
602#11924017—41no—
603#11924017—41no—
604#11924016—22no—
605#11924016—41no—
606#11924015—41no—
607#11924015—41no—
608#11924013—22no—
609#11924013—22no—
610#11924013—41no—
611#11924013—41no—
612#11924011—41no—
613#11924011—41no—
614#11924011—41no—
615C2×#10596831—41no—
616C2×#10596831—41no—
617C2×#10596831C2411yescharacteristic
618C2×#10596831C2411yescharacteristic
619C2×#10596831C2411yescharacteristic
620C2×#10596831C2411yescharacteristic
621C8×D73—41no—
622C4⋊Dic73—21no—
623C4⋊Dic73—21no—
624C4⋊Dic73—21no—
625C4⋊Dic73—21no—
626C4⋊Dic73—21no—
627C4⋊Dic73—21no—
628C4⋊Dic73C2×D411yescharacteristic
629C4⋊Dic73C2411yescharacteristic
630C4⋊Dic73C2411yescharacteristic
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—
645#11924007C2×D411yescharacteristic
646#11924007C2×D411yescharacteristic
647#11924007C2×D411yescharacteristic
648#11924007C2×D411yescharacteristic
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73C2×D411yescharacteristic
657C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680#11924005C2×D411yescharacteristic
681#11924005C2×D411yescharacteristic
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73C2411yescharacteristic
686C24×C73—21no—
687#41×C73—22no—
688#41×C73—41no—
689C2×Q8×C73—21no—
690C2×Q8×C73C2411yescharacteristic
691C2×Q8×C73C2411yescharacteristic
692C2×D4×C73—22no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—41no—
697C2×D4×C73C2×D411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C22×C4×C73—21no—
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73C2411yescharacteristic
705C22×C4×C73C2411yescharacteristic
706Q16×C73—41no—
707SD16×C73—22no—
708SD16×C73—41no—
709M16×C73—41no—
710C2×C8×C73—41no—
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73C2×D411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
734C22⋊C4×C73C2×D411yescharacteristic
735C22⋊C4×C73C2×D411yescharacteristic
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—42no—
741C23×C73—42no—
742C23×C73—81no—
743C23×C73C22×D411yescharacteristic
744C23×C73C22×D411yescharacteristic
745C22×D73—22no—
746C22×D73—21no—
747C22×D73—21no—
748C22×D73—41no—
749C22×D73—41no—
750C22×D73—42no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73C22×D411yescharacteristic
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—81no—
761D4×C73—22no—
762D4×C73—21no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—42no—
766D4×C73—42no—
767D4×C73—81no—
768D4×C73H(5,𝔽2)12yes—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
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—42no—
780C2×C4×C73—81no—
781C2×C4×C73—81no—
782C2×C4×C73—81no—
783C2×C4×C73C22×D411yescharacteristic
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C2511yescharacteristic
788C22⋊D73—24no—
789C22⋊D73—22no—
790C22⋊D73—41no—
791C22⋊D73—41no—
792C22⋊D73—41no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C22⋊D73—81no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C2×Dic73—24no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—21no—
807C2×Dic73—41no—
808C2×Dic73—42no—
809C2×Dic73—42no—
810C2×Dic73—42no—
811C2×Dic73—42no—
812C2×Dic73—42no—
813C2×Dic73—42no—
814C2×Dic73—81no—
815C2×Dic73C22×D411yescharacteristic
816C2×Dic73C22×D411yescharacteristic
817C2×Dic73C22×D411yescharacteristic
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820D292—21no—
821D292—21no—
822D292—21no—
823D292—21no—
824D292—41no—
825D292—41no—
826D292—42no—
827D292—42no—
828D292—81no—
829D292—81no—
830D292—81no—
831D292—81no—
832D292—81no—
833C4×D73—21no—
834C4×D73—21no—
835C4×D73—21no—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—41no—
840C4×D73—41no—
841C4×D73—42no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—81no—
845C4×D73—81no—
846C4×D73—81no—
847C4×D73—81no—
848C4×D73—81no—
849C4×D73—81no—
850C4×D73—81no—
851Dic146—21no—
852Dic146—21no—
853Dic146—21no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—41no—
859Dic146—42no—
860Dic146—42no—
861Dic146—42no—
862Dic146—42no—
863Dic146—81no—
864Dic146—81no—
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—22no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—84no—
886C22×C73#57812yes—
887C22×C73C23×D411yescharacteristic
888C2×D73—21no—
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—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—82no—
904C2×D73—162no—
905C4×C73—21no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—41no—
910C4×C73—41no—
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—21no—
918Dic73—22no—
919Dic73—21no—
920Dic73—21no—
921Dic73—21no—
922Dic73—21no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61619—731nomaximal, Sylow
929C2×C73—22no—
930C2×C73—41no—
931C2×C73—42no—
932C2×C73—81no—
933C2×C73#348411yescharacteristic
934C2×C73C2×#57811yescharacteristic
935C2×C73#358511yescharacteristic
936D73—41no—
937D73—41no—
938D73—41no—
939D73—81no—
940D73—81no—
941#3536—731no—
942#3489—731no—
943#3330—731no—
944#3330—731no—
945#3314—731no—
946#3314D7311yescharacteristic, complemented
947#3308—731no—
948#3308—731no—
949#3299—731no—
950#3299—731no—
951#3280—731no—
952#3280—731no—
953#3277—731no—
954#3277—731no—
955#3269—731no—
956#3269—731no—
957#3266—731no—
958#3266—731no—
959#3225—731no—
960#3225—731no—
961#3203—731no—
962#3203—731no—
963#3193—731no—
964#3189—731no—
965#3124—731no—
966#3124—731no—
967#3013—731no—
968#3013—731no—
969#3007—731no—
970C2×#449—731no—
971#2976—731no—
972C73#6161911yescharacteristic, complemented, Sylow
973C2×2−1+4—731no—
974C22×#41—731no—
975C2×#137—731no—
976C2×#137—731no—
977C2×#137—731no—
978C2×#137—731no—
979C2×#135—731no—
980C2×#135—731no—
981C22×SD16—731no—
982C22×D8—731no—
983#562—1461no—
984#562—1461no—
985#554—731no—
986#554C2×D7311yescharacteristic
987D4×Q8—731no—
988D4×Q8—731no—
989#548—731no—
990#548—731no—
991#548—731no—
992#548—731no—
993#547—731no—
994#547—731no—
995#547—731no—
996#547—731no—
997#547—1461no—
998#547—1461no—
999#546—731no—
1000#546—731no—
1001#546—731no—
1002#546—1461no—
1003#546—1461no—
1004#546—1461no—
1005#546—1461no—
1006#546C2×D7311yescharacteristic
1007#543—1461no—
1008#542—731no—
1009#542—731no—
1010#539—1461no—
1011#538—1461no—
1012#537—731no—
1013#537—731no—
1014#537—731no—
1015#537—1461no—
1016#537—1461no—
1017#536—731no—
1018#536—1461no—
1019#525—731no—
1020#525—1461no—
1021C2×C22⋊Q8—731no—
1022C2×C22⋊Q8—731no—
1023C2×C22⋊Q8—1461no—
1024C2×#121—731no—
1025#520—731no—
1026#497—731no—
1027#497—731no—
1028#495—731no—
1029#495—731no—
1030#489—731no—
1031#489C2×D7311yescharacteristic, complemented
1032#487—731no—
1033#487—731no—
1034#484—731no—
1035#484—731no—
1036#484—731no—
1037#484—731no—
1038#484—731no—
1039#484—731no—
1040#484—731no—
1041#484C2×D7311yescharacteristic
1042#480—731no—
1043#480—731no—
1044#480—731no—
1045#480C2×D7311yescharacteristic, complemented
1046#477—731no—
1047#477—731no—
1048#474—731no—
1049#474C2×D7311yescharacteristic, complemented
1050#468—731no—
1051#468—731no—
1052#468—731no—
1053#468—731no—
1054#468—731no—
1055#468—731no—
1056#468—731no—
1057#468C2×D7311yescharacteristic, complemented
1058#467—731no—
1059#467—731no—
1060#467—731no—
1061#467—731no—
1062#467—731no—
1063#467C2×D7311yescharacteristic
1064#466—731no—
1065#466—731no—
1066#464—731no—
1067#464—731no—
1068#464—731no—
1069#464C2×D7311yescharacteristic, complemented
1070#463—731no—
1071#463—731no—
1072#463—731no—
1073#463—731no—
1074#462—731no—
1075#462—731no—
1076#461—731no—
1077#461—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452C2×D7311yescharacteristic, complemented
1086#451—731no—
1087#451—731no—
1088#451—731no—
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451—731no—
1093#451—731no—
1094#450—731no—
1095#450—731no—
1096#450—731no—
1097#450C2×D7311yescharacteristic
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449—731no—
1104#449—731no—
1105#449—731no—
1106#449—731no—
1107#449—731no—
1108#449—731no—
1109#449—731no—
1110#448—731no—
1111#448—731no—
1112#448—731no—
1113#448—731no—
1114#440—731no—
1115#440—731no—
1116#440—731no—
1117#440C2×D7311yescharacteristic, complemented
1118C4×Q16—731no—
1119C4×Q16—731no—
1120C4×D8—731no—
1121C4×D8—731no—
1122#436—731no—
1123#436—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435C2×D7311yescharacteristic
1128C8×D4—731no—
1129C8×D4—731no—
1130#433—731no—
1131#433—731no—
1132#417—731no—
1133#417—731no—
1134#417—731no—
1135#417C2×D7311yescharacteristic, complemented
1136C2×#103—731no—
1137C2×#103—731no—
1138C2×#103—731no—
1139C2×#102C2×D7311yescharacteristic
1140#408—731no—
1141#408—731no—
1142#407—731no—
1143C2×C22⋊C8—731no—
11442−1+4—2922no—
11452−1+4—2922no—
1146C2×#41—2922no—
1147C2×#41—2922no—
1148C2×#41—731no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—731no—
1156C2×#41—1461no—
1157C2×#41—1461no—
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—731no—
1169C22×Q8—1461no—
1170C22×D4—731no—
1171C22×D4—1461no—
1172C22×D4—1461no—
1173C22×D4C22×D7311yescharacteristic
1174C23×C4—731no—
1175C23×C4—1461no—
1176#137—2922no—
1177#137—2922no—
1178#137—2922no—
1179#137—2922no—
1180#135—2922no—
1181#135—2922no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×Q16—731no—
1187C2×Q16—731no—
1188C2×Q16—731no—
1189C2×Q16C22×D7311yescharacteristic
1190C2×SD16—2922no—
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×D8—2922no—
1204C2×D8—731no—
1205C2×D8—731no—
1206C2×D8—731no—
1207C2×D8—731no—
1208C2×M16—731no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16C22×D7311yescharacteristic
1212C22×C8—731no—
1213C22×C8—731no—
1214C22×C8—731no—
1215C22×C8C22×D7311yescharacteristic
1216C4⋊Q8—731no—
1217C4⋊Q8—731no—
1218C4⋊Q8—731no—
1219C4⋊Q8—1461no—
1220C4⋊Q8—1461no—
1221C4⋊Q8C22×D7311yescharacteristic
1222#126—1461no—
1223#126—1461no—
1224#125—21no—
1225#125—1461no—
1226#124—731no—
1227#124—731no—
1228#124—731no—
1229#124—1461no—
1230#124—1461no—
1231#124—1461no—
1232#124—1461no—
1233#124—1461no—
1234#124—1461no—
1235#124C22×D7311yescharacteristic
1236#123—21no—
1237#123—731no—
1238#123—731no—
1239#123—1461no—
1240#123—1461no—
1241#123—1461no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—731no—
1257C22⋊Q8—731no—
1258C22⋊Q8—731no—
1259C22⋊Q8—731no—
1260C22⋊Q8—731no—
1261C22⋊Q8—731no—
1262C22⋊Q8—731no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—1461no—
1268C22⋊Q8—1461no—
1269C22⋊Q8—1461no—
1270C22⋊Q8—1461no—
1271C22⋊Q8—1461no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
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⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8C22×D7311yescharacteristic
1291C22⋊Q8C22×D7311yescharacteristic
1292C22⋊Q8C22×D7311yescharacteristic
1293#121—21no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
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#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121C22×D7311yescharacteristic
1324#120—21no—
1325#120—731no—
1326#120—731no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8C22×D7311yescharacteristic
1334C4×D4—21no—
1335C4×D4—731no—
1336C4×D4—731no—
1337C4×D4—731no—
1338C4×D4—731no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—1461no—
1342C4×D4—1461no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4C22×D7311yescharacteristic
1351C4×D4C22×D7311yescharacteristic
1352#117—731no—
1353#117—1461no—
1354C2×C4⋊C4—731no—
1355C2×C4⋊C4—731no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4—1461no—
1358C2×C4⋊C4—1461no—
1359C2×C4⋊C4—1461no—
1360C2×C4⋊C4—1461no—
1361C2×C4⋊C4—1461no—
1362C2×C4⋊C4C22×D7311yescharacteristic
1363C2×C4⋊C4C22×D7311yescharacteristic
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—1461no—
1366C2×C22⋊C4—1461no—
1367C2×C22⋊C4—1461no—
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#107—731no—
1376#107C22×D7311yescharacteristic
1377#107C22×D7311yescharacteristic
1378#107C22×D7311yescharacteristic
1379C4⋊C8—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
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#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102C22×D7311yescharacteristic
1410#102C22×D7311yescharacteristic
1411#102C22×D7311yescharacteristic
1412#102C22×D7311yescharacteristic
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×C8—731no—
1431C24—21no—
1432C24—731no—
1433C24—1461no—
1434#41—22no—
1435#41—41no—
1436#41—2921no—
1437#41—2921no—
1438#41—2921no—
1439#41—2921no—
1440#41—2924no—
1441#41—2924no—
1442#41—2924no—
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—5842no—
1453#41—5842no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459C2×Q8—21no—
1460C2×Q8—2921no—
1461C2×Q8—2921no—
1462C2×Q8—2924no—
1463C2×Q8—2921no—
1464C2×Q8—2921no—
1465C2×Q8—2921no—
1466C2×Q8—2921no—
1467C2×Q8—2921no—
1468C2×Q8—731no—
1469C2×Q8—731no—
1470C2×Q8—731no—
1471C2×Q8—731no—
1472C2×Q8—731no—
1473C2×Q8—1462no—
1474C2×Q8—1462no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1461no—
1478C2×Q8—1461no—
1479C2×Q8—1462no—
1480C2×Q8—1461no—
1481C2×Q8—1461no—
1482C2×Q8C23×D7311yescharacteristic
1483C2×Q8C23×D7311yescharacteristic
1484C2×D4—22no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—2921no—
1490C2×D4—2921no—
1491C2×D4—2924no—
1492C2×D4—5842no—
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×D4D4×D7311yescharacteristic
1517C2×D4C23×D7311yescharacteristic
1518C2×D4C23×D7311yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—2921no—
1524C22×C4—2921no—
1525C22×C4—2924no—
1526C22×C4—731no—
1527C22×C4—731no—
1528C22×C4—731no—
1529C22×C4—731no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—1461no—
1533C22×C4—1461no—
1534C22×C4—1461no—
1535C22×C4—1461no—
1536C22×C4—1461no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4C23×D7311yescharacteristic
1551C22×C4C23×D7311yescharacteristic
1552Q16—41no—
1553Q16—2921no—
1554Q16—2921no—
1555Q16—2921no—
1556Q16—2921no—
1557Q16—2921no—
1558Q16—1462no—
1559Q16—1462no—
1560SD16—22no—
1561SD16—41no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—2921no—
1568SD16—2921no—
1569SD16—1462no—
1570SD16—1462no—
1571SD16—1462no—
1572D8—2921no—
1573D8—2921no—
1574D8—1462no—
1575D8—1462no—
1576M16—41no—
1577M16—2921no—
1578M16—2921no—
1579M16—2921no—
1580C2×C8—41no—
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—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⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4D4×D7311yescharacteristic
1627C4⋊C4C23×D7311yescharacteristic
1628C4⋊C4C23×D7311yescharacteristic
1629C4⋊C4C23×D7311yescharacteristic
1630C4⋊C4C23×D7311yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—731no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
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⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4D4×D7311yescharacteristic
1672C22⋊C4D4×D7311yescharacteristic
1673C42—21no—
1674C42—731no—
1675C42—1461no—
1676C42—1461no—
1677C42—1461no—
1678C42C23×D7311yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—42no—
1682C23—42no—
1683C23—81no—
1684C23—2921no—
1685C23—2921no—
1686C23—2922no—
1687C23—5841no—
1688C23—5841no—
1689C23—731no—
1690C23—731no—
1691C23—731no—
1692C23—1461no—
1693C23—1461no—
1694C23—1462no—
1695C23C2×D4×D7311yescharacteristic
1696C23C2×D4×D7311yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—81no—
1702Q8—2922no—
1703Q8—2922no—
1704Q8—2921no—
1705Q8—2922no—
1706Q8—2922no—
1707Q8—5841no—
1708Q8—5841no—
1709Q8—732no—
1710Q8—1461no—
1711Q8—1461no—
1712Q8—1461no—
1713Q8—1461no—
1714Q8—1461no—
1715Q8—1461no—
1716Q8—1461no—
1717D4—22no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—42no—
1722D4—42no—
1723D4—81no—
1724D4—2921no—
1725D4—2921no—
1726D4—2922no—
1727D4—2922no—
1728D4—2922no—
1729D4—2922no—
1730D4—2922no—
1731D4—2921no—
1732D4—2921no—
1733D4—2921no—
1734D4—2922no—
1735D4—5841no—
1736D4—5841no—
1737D4—5841no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—1464no—
1744D4—1462no—
1745D4—1461no—
1746D4—1461no—
1747D4—1461no—
1748D4—1461no—
1749D4#1455663712yes—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—42no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—2921no—
1765C2×C4—2921no—
1766C2×C4—2922no—
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—5841no—
1777C2×C4—5841no—
1778C2×C4—5841no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—731no—
1785C2×C4—731no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—1461no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1464no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
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—22no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—84no—
1827C22—2921no—
1828C22—2921no—
1829C22—2921no—
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#1798940312yes—
1845C22C22×D4×D7311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—2921no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—1461no—
1862C4—1461no—
1863C4—1462no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4H(5,𝔽2)×D7311yescharacteristic
1868C4C2×#1455663711yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—42no—
1872C2—81no—
1873C2—2921no—
1874C2—2921no—
1875C2—2921no—
1876C2—5841no—
1877C2—5841no—
1878C2#2262356111yescharacteristic
1879C2C2×#1798940311yescharacteristic
1880C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3314C2
socleC22×C73C23×D4
hypercenter#3314D73
hypocenterC73#61619
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #22624159C2semidirect
2. #22623602C2semidirect
3. #22622233C2semidirect
4. #22622232C2semidirect
5. #22622008C2semidirect
6. #22621921C2semidirect
7. #22621920C2semidirect
8. #22621805C2semidirect
9. #22621801C2semidirect
10. #22621612C2semidirect
11. #22621609C2semidirect
12. #22621585C2semidirect
13. #22621583C2semidirect
14. #22621490C2semidirect
15. #22621488C2semidirect
16. #22621446C2semidirect
17. #22621438C2semidirect
18. #22621045C2semidirect
19. #22621041C2semidirect
20. #22620831C2semidirect
21. #22620829C2semidirect
22. #22620736C2semidirect
23. #22620702C2semidirect
24. #22620198C2semidirect
25. #22620197C2semidirect
26. #22619250C2semidirect
27. #22619248C2semidirect
28. #22619186C2semidirect
29. C2×#17988733C2semidirect
30. #22618980C2semidirect
31. C73×#3314C2semidirect
32. C2×#14556638C22semidirect
34. C2×#14556624C22semidirect
35. C2×#14556623C22semidirect
36. C2×#14556620C22semidirect
37. C2×#14556620C22semidirect
38. C2×#14556612C22semidirect
39. C2×#14556611C22semidirect
47. #17989249C22semidirect
48. #17989247C22semidirect
49. #17989245C22semidirect
50. #17989243C22semidirect
51. #17989241C22semidirect
52. #17989240C22semidirect
53. #17989238C22semidirect
55. #17989236C22semidirect
65. #17989211C22semidirect
66. #17989209C22semidirect
69. #17989168C22semidirect
71. #17989167C22semidirect
72. #17989166C22semidirect
75. #17989157C22semidirect
82. #17989066C22semidirect
83. #17988981C22semidirect
84. #17988980C22semidirect
85. #17988969C22semidirect
86. #17988968C22semidirect
87. #17988945C22semidirect
88. #17988939C22semidirect
89. #17988936C22semidirect
90. #17988924C22semidirect
91. #17988924C22semidirect
92. #17988924C22semidirect
94. #17988922C22semidirect
95. #17988921C22semidirect
96. #17988921C22semidirect
97. #17988902C22semidirect
98. #17988902C22semidirect
99. #17988899C22semidirect
100. #17988881C22semidirect
101. #17988879C22semidirect
102. #17988865C22semidirect
103. #17988836C22semidirect
104. #17988836C22semidirect
105. #17988834C22semidirect
106. #17988834C22semidirect
107. #17988834C22semidirect
108. #17988833C22semidirect
109. #17988832C22semidirect
110. #17988829C22semidirect
114. #17988826C22semidirect
115. #17988822C22semidirect
116. #17988821C22semidirect
117. #17988812C22semidirect
118. #17988810C22semidirect
119. #17988808C22semidirect
120. #17988804C22semidirect
121. #17988802C22semidirect
122. #17988801C22semidirect
123. #17988799C22semidirect
124. #17988797C22semidirect
125. #17988796C22semidirect
126. #17988793C22semidirect
127. #17988791C22semidirect
128. #17988752C22semidirect
129. #17988751C22semidirect
130. #17988750C22semidirect
131. #17988750C22semidirect
132. #17988750C22semidirect
133. #17988746C22semidirect
134. #17988746C22semidirect
136. #17988744C22semidirect
137. #17988744C22semidirect
138. #17988744C22semidirect
140. #17988742C22semidirect
141. #17988741C22semidirect
142. #17988741C22semidirect
154. #17988733C22semidirect
155. #17988732C22semidirect
156. #17988731C22semidirect
157. #17988730C22semidirect
158. #17988728C22semidirect
159. #17988727C22semidirect
160. #17988727C22semidirect
161. #17988727C22semidirect
162. #17988689C22semidirect
163. #17988686C22semidirect
164. #17988684C22semidirect
165. #17988681C22semidirect
166. C4×#11924018C22semidirect
167. C4×#11924013C22semidirect
168. #17988667C22semidirect
169. #17988664C22semidirect
170. #17988663C22semidirect
171. #17988660C22semidirect
173. #17988655C22semidirect
176. #17988649C22semidirect
177. #17988647C22semidirect
178. #17988585C22semidirect
179. #17988585C22semidirect
180. #17988585C22semidirect
182. C2×#14556514C22semidirect
183. #103×D73C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
190. #489×C73C22semidirect
192. #480×C73C22semidirect
193. #474×C73C22semidirect
194. #468×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
199. #440×C73C22semidirect
201. #417×C73C22semidirect
946. #3314D73semidirect
972. C73#61619semidirect
1031. #489C2×D73semidirect
1045. #480C2×D73semidirect
1049. #474C2×D73semidirect
1057. #468C2×D73semidirect
1069. #464C2×D73semidirect
1085. #452C2×D73semidirect
1117. #440C2×D73semidirect
1135. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241592
#226236022
#226222332
#226222322
#226220082
#226219212
#226219202
#226218052
#226218012
#226216122
#226216092
#226215852
#226215832
#226214902
#226214882
#226214462
#226214382
#226210452
#226210412
#226208312
#226208292
#226207362
#226207022
#226201982
#226201972
#226192502
#226192482
#226191862
C2×#179887332
#226189802
C73×#33142
#6161973