Finite Group Databasebeta

← #30565803

Subgroups — #30565803

Order 15616.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460057C211yesmaximal, characteristic, complemented
2#21459489C211yesmaximal, characteristic, complemented
3#21458025C211yesmaximal, characteristic, complemented
4#21458017C211yesmaximal, characteristic, complemented
5#21457965C211yesmaximal, characteristic, complemented
6#21457957C211yesmaximal, characteristic, complemented
7#21457830C211yesmaximal, characteristic, complemented
8#21457822C211yesmaximal, characteristic, complemented
9#21457726C211yesmaximal, characteristic, complemented
10#21457718C211yesmaximal, characteristic, complemented
11D8×D244C211yesmaximal, characteristic, complemented
12#21457491C211yesmaximal, characteristic, complemented
13#21457440C211yesmaximal, characteristic, complemented
14#21457434C211yesmaximal, characteristic, complemented
15#21457316C211yesmaximal, characteristic, complemented
16#21457309C211yesmaximal, characteristic, complemented
17#21457301C211yesmaximal, characteristic, complemented
18#21457294C211yesmaximal, characteristic, complemented
19#21456871C211yesmaximal, characteristic, complemented
20#21456863C211yesmaximal, characteristic, complemented
21#21456678C211yesmaximal, characteristic, complemented
22#21456676C211yesmaximal, characteristic, complemented
23#21456618C211yesmaximal, characteristic, complemented
24#21456569C211yesmaximal, characteristic, complemented
25#21456018C211yesmaximal, characteristic, complemented
26#21455084C211yesmaximal, characteristic, complemented
27#21455084C211yesmaximal, characteristic, complemented
28#21455068C211yesmaximal, characteristic, complemented
29#449×D61C211yesmaximal, characteristic, complemented
30#21454865C211yesmaximal, characteristic, complemented
31C61×#3119C211yesmaximal, characteristic, complemented
32C2×#14519823C2211yescharacteristic, complemented
33C2×#41×D61C2211yescharacteristic, complemented
34C2×#14519804C2211yescharacteristic, complemented
35C2×#14519804C2211yescharacteristic, complemented
36C2×#14519804C2211yescharacteristic, complemented
37C2×#14519801C2211yescharacteristic, complemented
38C2×SD16×D61C2211yescharacteristic, complemented
39C2×D8×D61C2211yescharacteristic, complemented
40C2×D8×D61C2211yescharacteristic, complemented
41C2×D8×D61C2211yescharacteristic, complemented
42#16840500—21no—
43#16840500—21no—
44#16840465C2211yescharacteristic, complemented
45#16840465C2211yescharacteristic, complemented
46#16840462C2211yescharacteristic, complemented
47#16840462C2211yescharacteristic, complemented
48#16840434C2211yescharacteristic, complemented
49#16840434C2211yescharacteristic, complemented
50#16840424C2211yescharacteristic, complemented
51#16840424C2211yescharacteristic, complemented
52#16840407—21no—
53#16840407—21no—
54#16840407C2211yescharacteristic, complemented
55#16840407C2211yescharacteristic, complemented
56D4×D244—21no—
57D4×D244—21no—
58D4×D244C2211yescharacteristic, complemented
59D4×D244C2211yescharacteristic, complemented
60D4×D244C2211yescharacteristic, complemented
61D4×D244C2211yescharacteristic, complemented
62#16840397C2211yescharacteristic, complemented
63#16840397C2211yescharacteristic, complemented
64#16840396—21no—
65#16840396—21no—
66#16840367C2211yescharacteristic, complemented
67#16840348—21no—
68#16840348—21no—
69#16840343—21no—
70#16840343C2211yescharacteristic, complemented
71#16840331—21no—
72#16840331C2211yescharacteristic, complemented
73#16840328C2211yescharacteristic, complemented
74#16840328C2211yescharacteristic, complemented
75#16840323—21no—
76#16840323—21no—
77#16840274—21no—
78#16840274C2211yescharacteristic
79C2×#14519752—21no—
80C2×#14519752C2211yescharacteristic, complemented
81#121×D61C2211yescharacteristic, complemented
82#121×D61C2211yescharacteristic, complemented
83#16840151C2211yescharacteristic, complemented
84#16840149C2211yescharacteristic, complemented
85#16840139C2211yescharacteristic, complemented
86#16840138C2211yescharacteristic, complemented
87#16840128C2211yescharacteristic, complemented
88#16840127C2211yescharacteristic, complemented
89#16840119C2211yescharacteristic, complemented
90#16840117C2211yescharacteristic, complemented
91#16840106C2211yescharacteristic, complemented
92#16840105C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840082C2211yescharacteristic, complemented
96#16840082C2211yescharacteristic, complemented
97#16840080C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic, complemented
99#16840077C2211yescharacteristic, complemented
100#16840075C2211yescharacteristic, complemented
101#16840069C2211yescharacteristic, complemented
102#16840062C2211yescharacteristic, complemented
103#16840016C2211yescharacteristic, complemented
104#16840016C2211yescharacteristic, complemented
105#16840016C2211yescharacteristic, complemented
106#16840014C2211yescharacteristic, complemented
107#16840014C2211yescharacteristic, complemented
108#16840014C2211yescharacteristic, complemented
109#16840009C2211yescharacteristic, complemented
110#16840007C2211yescharacteristic, complemented
111#16839999C2211yescharacteristic, complemented
112#16839999C2211yescharacteristic, complemented
113#16839999C2211yescharacteristic, complemented
114#16839997C2211yescharacteristic, complemented
115#16839997C2211yescharacteristic, complemented
116#16839997C2211yescharacteristic, complemented
117#16839992C2211yescharacteristic, complemented
118#16839990C2211yescharacteristic, complemented
119#16839978C2211yescharacteristic, complemented
120#16839978C2211yescharacteristic, complemented
121#16839977C2211yescharacteristic, complemented
122#16839977C2211yescharacteristic, complemented
123#16839962C2211yescharacteristic, complemented
124#16839958C2211yescharacteristic, complemented
125#16839958C2211yescharacteristic, complemented
126#16839957C2211yescharacteristic, complemented
127#16839957C2211yescharacteristic, complemented
128#16839957C2211yescharacteristic, complemented
129#16839914C2211yescharacteristic, complemented
130#16839914C2211yescharacteristic, complemented
131#16839910C2211yescharacteristic, complemented
132#16839910C2211yescharacteristic, complemented
133#16839910C2211yescharacteristic, complemented
134#16839909C2211yescharacteristic, complemented
135#16839909C2211yescharacteristic, complemented
136#16839908C2211yescharacteristic, complemented
137#16839907C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic, complemented
139#16839906C2211yescharacteristic, complemented
140#16839906C2211yescharacteristic, complemented
141#16839906C2211yescharacteristic, complemented
142#16839905C2211yescharacteristic, complemented
143#16839905C2211yescharacteristic, complemented
144#16839904C2211yescharacteristic, complemented
145#16839902C2211yescharacteristic, complemented
146#16839899C2211yescharacteristic, complemented
147#16839898C2211yescharacteristic, complemented
148#16839898C2211yescharacteristic, complemented
149#16839897C2211yescharacteristic, complemented
150#16839897C2211yescharacteristic, complemented
151#16839897C2211yescharacteristic, complemented
152#16839897C2211yescharacteristic, complemented
153#16839897C2211yescharacteristic, complemented
154#16839897C2211yescharacteristic, complemented
155#16839897C2211yescharacteristic, complemented
156#16839897C2211yescharacteristic, complemented
157#16839897C2211yescharacteristic, complemented
158#16839895C2211yescharacteristic, complemented
159#16839895C2211yescharacteristic, complemented
160#16839894C2211yescharacteristic, complemented
161#16839894C2211yescharacteristic, complemented
162#16839894C2211yescharacteristic, complemented
163#16839872C2211yescharacteristic, complemented
164#16839860C2211yescharacteristic, complemented
165C4×#11758201C2211yescharacteristic, complemented
166C4×#11758199C2211yescharacteristic, complemented
167#16839841C2211yescharacteristic, complemented
168#16839839C2211yescharacteristic, complemented
169#16839835C2211yescharacteristic, complemented
170#16839835C2211yescharacteristic, complemented
171#16839832C2211yescharacteristic, complemented
172#16839832C2211yescharacteristic, complemented
173C8×D244C2211yescharacteristic, complemented
174#16839827C2211yescharacteristic, complemented
175#16839823C2211yescharacteristic, complemented
176#16839765C2211yescharacteristic, complemented
177#16839765C2211yescharacteristic, complemented
178#16839762C2211yescharacteristic, complemented
179#16839760C2211yescharacteristic, complemented
180#16839757C2211yescharacteristic, complemented
181#16839757C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#16839727C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C61×#540C2211yescharacteristic, complemented
189C61×#520C2211yescharacteristic, complemented
190C61×#481C2211yescharacteristic, complemented
191C61×#480C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#460C2211yescharacteristic, complemented
195C61×#459C2211yescharacteristic, complemented
196C61×#449C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#442C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203#14519823—42no—
204#14519823—42no—
205C2×#11758226C2311yescharacteristic
206C2×#11758226C2311yescharacteristic
207C2×#11758226C2311yescharacteristic
208C2×#11758222—21no—
209C2×#11758222—21no—
210C2×#11758222C2311yescharacteristic
211C2×#11758222C2311yescharacteristic
212C2×#11758224—21no—
213C2×#11758224C2311yescharacteristic
214#41×D61—42no—
215#41×D61—42no—
216C2×Q8×D61C2311yescharacteristic
217C22×D244—21no—
218C22×D244—21no—
219C22×D244—21no—
220C22×D244—21no—
221C22×D244—21no—
222C22×D244—21no—
223C22×D244C2311yescharacteristic
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61—21no—
228C2×D4×D61—21no—
229C2×D4×D61—21no—
230C2×D4×D61—21no—
231C2×D4×D61C2311yescharacteristic
232C2×D4×D61C2311yescharacteristic
233C2×D4×D61C2311yescharacteristic
234C2×D4×D61C2311yescharacteristic
235C2×D4×D61C2311yescharacteristic
236C2×D4×D61C2311yescharacteristic
237C2×D4×D61C2311yescharacteristic
238C22×C4×D61—21no—
239C22×C4×D61C2311yescharacteristic
240#14519804—42no—
241#14519804—42no—
242#14519804—42no—
243#14519801—42no—
244C2×#11758190C2311yescharacteristic
245C2×#11758190C2311yescharacteristic
246C2×#11758200C2311yescharacteristic
247C2×#11758200C2311yescharacteristic
248C2×#11758201C2311yescharacteristic
249C2×#11758201C2311yescharacteristic
250SD16×D61—42no—
251C2×D488C2311yescharacteristic
252C2×D488C2311yescharacteristic
253C2×D488C2311yescharacteristic
254C2×D488C2311yescharacteristic
255C2×D488C2311yescharacteristic
256C2×D488C2311yescharacteristic
257C2×#11758199C2311yescharacteristic
258C2×#11758199C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758199C2311yescharacteristic
261C2×#11758199C2311yescharacteristic
262C2×#11758199C2311yescharacteristic
263C2×#11758199C2311yescharacteristic
264C2×#11758199C2311yescharacteristic
265D8×D61—42no—
266D8×D61—42no—
267D8×D61—42no—
268C2×#11758189C2311yescharacteristic
269C2×#11758189C2311yescharacteristic
270C2×#11758189C2311yescharacteristic
271C2×#11758189C2311yescharacteristic
272C2×C8×D61C2311yescharacteristic
273C2×C8×D61C2311yescharacteristic
274C2×C8×D61C2311yescharacteristic
275C2×C8×D61C2311yescharacteristic
276#14519774—21no—
277#14519774—21no—
278#14519774C2311yescharacteristic
279#14519774C2311yescharacteristic
280#14519774C2311yescharacteristic
281#14519773—21no—
282#14519773—21no—
283#14519772—21no—
284#14519772—21no—
285#14519770—21no—
286#14519770—21no—
287#14519769C2311yescharacteristic
288#14519765—21no—
289#14519765—21no—
290#14519765C2311yescharacteristic
291#14519765C2311yescharacteristic
292#14519763—21no—
293#14519763—21no—
294#14519762—21no—
295#14519762—21no—
296#14519762—21no—
297#14519762—21no—
298#14519761—21no—
299#14519761—21no—
300#14519761D411yescharacteristic
301#14519761D411yescharacteristic
302#14519760—21no—
303#14519760—21no—
304#14519757—21no—
305#14519757—21no—
306#14519757—21no—
307#14519757D411yescharacteristic
308#14519757D411yescharacteristic
309#14519757C2311yescharacteristic
310#14519757C2311yescharacteristic
311#14519752—21no—
312#14519752—21no—
313#14519752—21no—
314#14519752—21no—
315#14519752—21no—
316#14519752—21no—
317#14519752—21no—
318#14519752—21no—
319#14519752—21no—
320#14519752—21no—
321#14519752—21no—
322#14519752—21no—
323#14519752—21no—
324#14519752D411yescharacteristic
325#14519752D411yescharacteristic
326#14519752C2311yescharacteristic
327#14519752C2311yescharacteristic
328#14519752C2311yescharacteristic
329#14519752C2311yescharacteristic
330#14519752C2311yescharacteristic
331#14519752C2311yescharacteristic
332#14519752C2311yescharacteristic
333#14519752C2311yescharacteristic
334#14519752C2311yescharacteristic
335#14519752C2311yescharacteristic
336#14519751—21no—
337#14519751—21no—
338#14519751—21no—
339#14519751—21no—
340#14519751—21no—
341#14519751—21no—
342#14519751—21no—
343#14519751—21no—
344#14519751C2311yescharacteristic
345#14519751C2311yescharacteristic
346#14519750—21no—
347#14519750—21no—
348#14519750—21no—
349#14519750—21no—
350#14519750—21no—
351#14519750—21no—
352#14519749—21no—
353#14519749—21no—
354#14519748—21no—
355#14519748—21no—
356#14519748C2311yescharacteristic
357#14519748C2311yescharacteristic
358#14519748C2311yescharacteristic
359#14519748C2311yescharacteristic
360#14519747—21no—
361#14519747—21no—
362#14519747—21no—
363#14519747—21no—
364#14519747—21no—
365#14519747—21no—
366#14519747—21no—
367#14519747—21no—
368#14519747—21no—
369#14519747—21no—
370#14519747—21no—
371#14519747—21no—
372#14519747—21no—
373#14519747—21no—
374#14519747D411yescharacteristic
375#14519747D411yescharacteristic
376#14519745—21no—
377#14519745—21no—
378#14519745—21no—
379#14519745—21no—
380#14519745—21no—
381#14519745—21no—
382C4×D244—21no—
383C4×D244—21no—
384C4×D244—21no—
385C4×D244—21no—
386C4×D244C2311yescharacteristic
387C4×D244C2311yescharacteristic
388C4×D244C2311yescharacteristic
389C4×D244C2311yescharacteristic
390C4×D244C2311yescharacteristic
391C4×D244C2311yescharacteristic
392#14519739—21no—
393#14519739—21no—
394C4×C22⋊D61—21no—
395C4×C22⋊D61—21no—
396#14519735C2311yescharacteristic
397#14519735C2311yescharacteristic
398C4⋊C4×D61C2311yescharacteristic
399C4⋊C4×D61C2311yescharacteristic
400C2×#11758198—21no—
401C2×#11758198—21no—
402C2×#11758198—21no—
403C22⋊C4×D61—21no—
404C22⋊C4×D61—21no—
405#14519710C2311yescharacteristic
406#14519710C2311yescharacteristic
407#14519708C2311yescharacteristic
408#14519708C2311yescharacteristic
409C4⋊#92418C2311yescharacteristic
410C4⋊#92418C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic
443#14519689C2311yescharacteristic
444#14519689C2311yescharacteristic
445#14519688C2311yescharacteristic
446C4×#92418C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C2×D8×C61C2311yescharacteristic
452#127×C61C2311yescharacteristic
453#125×C61C2311yescharacteristic
454#123×C61—21no—
455#123×C61—21no—
456#121×C61—21no—
457#121×C61—21no—
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61—21no—
463C4×D4×C61—21no—
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468#117×C61—21no—
469#117×C61C2311yescharacteristic
470C2×C4⋊C4×C61—21no—
471C2×C4⋊C4×C61C2311yescharacteristic
472#107×C61C2311yescharacteristic
473#107×C61C2311yescharacteristic
474#106×C61C2311yescharacteristic
475#106×C61C2311yescharacteristic
476C4⋊C8×C61C2311yescharacteristic
477C4⋊C8×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488#97×C61C2311yescharacteristic
489C4×C8×C61C2311yescharacteristic
490C23×D61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C23×D61—21no—
494C23×D61—21no—
495C23×D61—21no—
496C23×D61—21no—
497C23×D61—21no—
498C23×D61C2×D411yescharacteristic
499#41×C61—22no—
500#41×C61—22no—
501C2×Q8×C61C2411yescharacteristic
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61C2411yescharacteristic
508C2×D4×C61C2411yescharacteristic
509C2×D4×C61C2411yescharacteristic
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61—21no—
513C22×C4×C61—21no—
514C22×C4×C61—21no—
515C22×C4×C61—21no—
516C22×C4×C61C2411yescharacteristic
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61C2×D411yescharacteristic
533C2×C22⋊D61C2×D411yescharacteristic
534C22×Dic61—21no—
535C22×Dic61C2×D411yescharacteristic
536#11758226—22no—
537#11758226—22no—
538#11758226—22no—
539#11758226—41no—
540#11758226—41no—
541#11758226—41no—
542Q8×D61—22no—
543Q8×D61—41no—
544#11758224—22no—
545#11758224—41no—
546#11758224—44no—
547D4×D61—22no—
548D4×D61—22no—
549D4×D61—22no—
550D4×D61—41no—
551D4×D61—41no—
552D4×D61—41no—
553D4×D61—41no—
554D4×D61—41no—
555D4×D61—41no—
556D4×D61—41no—
557D4×D61—41no—
558D4×D61—41no—
559D4×D61—41no—
560D4×D61—41no—
561D4×D61—44no—
562D4×D61—44no—
563D4×D61—44no—
564D4×D61—82no—
565D4×D61—82no—
566D4×D61—82no—
567D4×D61—82no—
568#11758222—41no—
569#11758222—41no—
570#11758222—41no—
571#11758222—41no—
572#11758222—44no—
573#11758222—44no—
574C2×D244—21no—
575C2×D244—21no—
576C2×D244—21no—
577C2×D244—21no—
578C2×D244—21no—
579C2×D244—21no—
580C2×D244—21no—
581C2×D244—21no—
582C2×D244—21no—
583C2×D244—21no—
584C2×D244—21no—
585C2×D244—21no—
586C2×D244—21no—
587C2×D244—21no—
588C2×D244—21no—
589C2×D244—21no—
590C2×D244—21no—
591C2×D244—21no—
592C2×D244—21no—
593C2×D244—21no—
594C2×D244—41no—
595C2×D244—41no—
596C2×D244—44no—
597C2×D244—82no—
598C2×D244—82no—
599C2×D244—82no—
600C2×D244—82no—
601C2×D244—82no—
602C2×D244C2×D411yescharacteristic
603C2×D244C2×D411yescharacteristic
604C2×D244C2×D411yescharacteristic
605C2×D244C2×D411yescharacteristic
606C2×D244C2×D411yescharacteristic
607C2×D244C2411yescharacteristic
608C2×D244C2411yescharacteristic
609C2×D244C2411yescharacteristic
610C2×D244C2411yescharacteristic
611C2×D244C2411yescharacteristic
612C2×C4×D61—21no—
613C2×C4×D61—21no—
614C2×C4×D61—21no—
615C2×C4×D61—21no—
616C2×C4×D61—21no—
617C2×C4×D61—21no—
618C2×C4×D61—21no—
619C2×C4×D61—21no—
620C2×C4×D61—21no—
621C2×C4×D61—41no—
622C2×C4×D61—41no—
623C2×C4×D61—44no—
624C2×C4×D61C2×D411yescharacteristic
625C2×C4×D61C2×D411yescharacteristic
626C2×C4×D61C2411yescharacteristic
627C2×C4×D61C2411yescharacteristic
628C2×C4×D61C2411yescharacteristic
629C2×C4×D61C2411yescharacteristic
630C2×Dic122—21no—
631C2×Dic122C2×D411yescharacteristic
632C2×Dic122C2411yescharacteristic
633SD16×C61—22no—
634SD16×C61—22no—
635D8×C61—22no—
636D8×C61—22no—
637C2×C8×C61C2411yescharacteristic
638C2×C8×C61C2411yescharacteristic
639C2×C8×C61C2411yescharacteristic
640C2×C8×C61C2411yescharacteristic
641C4⋊C4×C61—21no—
642C4⋊C4×C61—21no—
643C4⋊C4×C61—21no—
644C4⋊C4×C61—21no—
645C4⋊C4×C61—21no—
646C4⋊C4×C61C2×D411yescharacteristic
647C4⋊C4×C61C2×D411yescharacteristic
648C4⋊C4×C61C2411yescharacteristic
649C4⋊C4×C61C2411yescharacteristic
650C4⋊C4×C61C2411yescharacteristic
651C4⋊C4×C61C2411yescharacteristic
652C22⋊C4×C61—21no—
653C22⋊C4×C61—21no—
654C22⋊C4×C61—21no—
655C22⋊C4×C61—21no—
656C22⋊C4×C61—21no—
657C22⋊C4×C61—21no—
658C22⋊C4×C61C2×D411yescharacteristic
659C22⋊C4×C61C2×D411yescharacteristic
660C42×C61—21no—
661C42×C61—21no—
662C42×C61C2411yescharacteristic
663C42×C61C2411yescharacteristic
664C22⋊Dic61—21no—
665C22⋊Dic61—21no—
666C22⋊Dic61—21no—
667C22⋊Dic61—21no—
668#11758201—22no—
669#11758201—22no—
670#11758200—41no—
671#11758200—41no—
672#11758199—22no—
673#11758199—22no—
674#11758199—41no—
675#11758199—41no—
676#11758199—41no—
677#11758199—41no—
678#11758199—41no—
679#11758199—41no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198—21no—
685#11758198—21no—
686#11758198—21no—
687#11758198—21no—
688#11758198—21no—
689#11758198—21no—
690#11758198—21no—
691#11758198—21no—
692#11758198—21no—
693#11758198—21no—
694#11758198—21no—
695#11758198—21no—
696#11758198—21no—
697#11758198—21no—
698#11758198—21no—
699#11758198—21no—
700#11758198—21no—
701#11758198—21no—
702#11758198C2×D411yescharacteristic
703#11758198C2×D411yescharacteristic
704#11758198C2×D411yescharacteristic
705#11758198C2×D411yescharacteristic
706#11758198C2×D411yescharacteristic
707#11758198C2×D411yescharacteristic
708#11758198C2×D411yescharacteristic
709#11758198C2×D411yescharacteristic
710C4⋊Dic61—21no—
711C4⋊Dic61—21no—
712C4⋊Dic61C2×D411yescharacteristic
713C4⋊Dic61C2×D411yescharacteristic
714C4⋊Dic61C2×D411yescharacteristic
715C4⋊Dic61C2×D411yescharacteristic
716C4⋊Dic61C2411yescharacteristic
717C4⋊Dic61C2411yescharacteristic
718#11758196—21no—
719#11758196—21no—
720#11758196—21no—
721#11758196—21no—
722C4×Dic61—21no—
723C4×Dic61—21no—
724C2×#92418C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726C2×#92418C2411yescharacteristic
727C2×#92418C2411yescharacteristic
728D488—41no—
729D488—41no—
730D488—41no—
731D488—41no—
732D488—41no—
733D488—41no—
734#11758190—41no—
735#11758190—41no—
736#11758189—41no—
737#11758189—41no—
738#11758189—41no—
739#11758189—41no—
740C8×D61—41no—
741C8×D61—41no—
742C8×D61—41no—
743C8×D61—41no—
744C23×C61—21no—
745C23×C61—21no—
746C23×C61—21no—
747C23×C61C22×D411yescharacteristic
748C22×D61—22no—
749C22×D61—21no—
750C22×D61—21no—
751C22×D61—21no—
752C22×D61—21no—
753C22×D61—21no—
754C22×D61—41no—
755C22×D61—41no—
756C22×D61—42no—
757C22×D61—42no—
758C22×D61—42no—
759C22×D61—42no—
760C22×D61—42no—
761C22×D61—42no—
762C22×D61—42no—
763C22×D61—81no—
764C22×D61—81no—
765C22×D61—81no—
766C22×D61—81no—
767C22×D61—81no—
768C22×D61—81no—
769C22×D61—81no—
770C22×D61—81no—
771C22×D61—81no—
772C22×D61—81no—
773C22×D61—81no—
774C22×D61—81no—
775C22×D61—81no—
776C22×D61—81no—
777C22×D61—81no—
778C22×D61—81no—
779C22×D61—81no—
780C22×D61C22×D411yescharacteristic
781C22×D61C22×D411yescharacteristic
782C22×D61C22×D411yescharacteristic
783C22×D61C22×D411yescharacteristic
784Q8×C61—21no—
785Q8×C61H(5,𝔽2)12yes—
786D4×C61—24no—
787D4×C61—21no—
788D4×C61—21no—
789D4×C61—21no—
790D4×C61—21no—
791D4×C61—21no—
792D4×C61—81no—
793D4×C61—81no—
794D4×C61—81no—
795D4×C61—81no—
796D4×C61H(5,𝔽2)12yes—
797C2×C4×C61—24no—
798C2×C4×C61—21no—
799C2×C4×C61—21no—
800C2×C4×C61—21no—
801C2×C4×C61—21no—
802C2×C4×C61—21no—
803C2×C4×C61—21no—
804C2×C4×C61—21no—
805C2×C4×C61—81no—
806C2×C4×C61—81no—
807C2×C4×C61—81no—
808C2×C4×C61—81no—
809C2×C4×C61—81no—
810C2×C4×C61C22×D411yescharacteristic
811C2×C4×C61C22×D411yescharacteristic
812C2×C4×C61C22×D411yescharacteristic
813C2×C4×C61C22×D411yescharacteristic
814C2×C4×C61C22×D411yescharacteristic
815C2×C4×C61C2511yescharacteristic
816C22⋊D61—41no—
817C22⋊D61—41no—
818C22⋊D61—42no—
819C22⋊D61—42no—
820C22⋊D61—42no—
821C22⋊D61—42no—
822C22⋊D61—42no—
823C22⋊D61—42no—
824C22⋊D61—42no—
825C22⋊D61—81no—
826C22⋊D61—81no—
827C22⋊D61—81no—
828C22⋊D61—81no—
829C22⋊D61—81no—
830C22⋊D61—81no—
831C22⋊D61—81no—
832C22⋊D61—81no—
833C2×Dic61—21no—
834C2×Dic61—21no—
835C2×Dic61—21no—
836C2×Dic61—41no—
837C2×Dic61—42no—
838C2×Dic61C22×D411yescharacteristic
839C2×Dic61C22×D411yescharacteristic
840C2×Dic61C22×D411yescharacteristic
841C2×Dic61C22×D411yescharacteristic
842D244—22no—
843D244—22no—
844D244—21no—
845D244—21no—
846D244—21no—
847D244—21no—
848D244—21no—
849D244—21no—
850D244—21no—
851D244—21no—
852D244—21no—
853D244—21no—
854D244—41no—
855D244—41no—
856D244—41no—
857D244—42no—
858D244—42no—
859D244—42no—
860D244—42no—
861D244—42no—
862D244—42no—
863D244—42no—
864D244—42no—
865D244—81no—
866D244—81no—
867D244—81no—
868D244—81no—
869D244—81no—
870D244—81no—
871D244—81no—
872D244—81no—
873D244—81no—
874D244—81no—
875D244—81no—
876D244—81no—
877C4×D61—21no—
878C4×D61—21no—
879C4×D61—21no—
880C4×D61—21no—
881C4×D61—21no—
882C4×D61—21no—
883C4×D61—21no—
884C4×D61—21no—
885C4×D61—41no—
886C4×D61—41no—
887C4×D61—42no—
888C4×D61—42no—
889C4×D61—42no—
890C4×D61—42no—
891C4×D61—42no—
892C4×D61—81no—
893C4×D61—81no—
894C4×D61—81no—
895C4×D61—81no—
896Dic122—21no—
897Dic122—21no—
898Dic122—41no—
899Dic122—42no—
900C8×C61—21no—
901C8×C61—21no—
902C8×C61—21no—
903C8×C61—21no—
904#92418—21no—
905#92418—21no—
906#92418—21no—
907#92418—21no—
908#61617—611nomaximal, Sylow
909C22×C61—21no—
910C22×C61—21no—
911C22×C61—22no—
912C22×C61—21no—
913C22×C61—41no—
914C22×C61—41no—
915C22×C61—41no—
916C22×C61—41no—
917C22×C61—41no—
918C22×C61—41no—
919C22×C61—41no—
920C22×C61—41no—
921C22×C61C23×D411yescharacteristic
922C2×D61—21no—
923C2×D61—21no—
924C2×D61—21no—
925C2×D61—21no—
926C2×D61—21no—
927C2×D61—21no—
928C2×D61—21no—
929C2×D61—21no—
930C2×D61—21no—
931C2×D61—21no—
932C2×D61—21no—
933C2×D61—41no—
934C2×D61—41no—
935C2×D61—41no—
936C2×D61—41no—
937C2×D61—41no—
938C2×D61—41no—
939C2×D61—41no—
940C2×D61—41no—
941C2×D61—41no—
942C2×D61—41no—
943C2×D61—41no—
944C2×D61—41no—
945C2×D61—41no—
946C2×D61—41no—
947C2×D61—41no—
948C2×D61—82no—
949C2×D61—84no—
950C2×D61—162no—
951C2×D61—162no—
952C2×D61—162no—
953C2×D61—162no—
954C2×D61—162no—
955C2×D61—162no—
956C2×D61—162no—
957C2×D61#57612yes—
958C4×C61—21no—
959C4×C61—21no—
960C4×C61—21no—
961C4×C61—22no—
962C4×C61—21no—
963C4×C61—21no—
964C4×C61—41no—
965C4×C61—41no—
966C4×C61—41no—
967C4×C61—41no—
968C4×C61C2×H(5,𝔽2)11yescharacteristic
969C4×C61C2×H(5,𝔽2)11yescharacteristic
970Dic61—21no—
971Dic61—21no—
972Dic61—21no—
973Dic61—21no—
974Dic61—41no—
975Dic61—41no—
976Dic61—41no—
977#3537—611no—
978#3488—611no—
979#3322—611no—
980#3322—611no—
981#3318—611no—
982#3318—611no—
983#3309—611no—
984#3309—611no—
985#3301—611no—
986#3301—611no—
987D4×D8—611no—
988D4×D8—611no—
989#3274—611no—
990#3274—611no—
991#3265—611no—
992#3265—611no—
993#3264—611no—
994#3264—611no—
995#3220—611no—
996#3220—611no—
997#3198—611no—
998#3198—611no—
999#3192—611no—
1000#3186—611no—
1001#3119—611no—
1002#3119D6111yescharacteristic, complemented
1003#3008—611no—
1004#3008—611no—
1005#3006—611no—
1006C2×#449—611no—
1007#2976—611no—
1008C2×C61—41no—
1009C2×C61—42no—
1010C2×C61—81no—
1011C2×C61—81no—
1012C2×C61#348411yescharacteristic
1013C2×C61C2×#57611yescharacteristic
1014C2×C61#358511yescharacteristic
1015D61—22no—
1016D61—41no—
1017D61—41no—
1018D61—41no—
1019D61—81no—
1020D61—81no—
1021D61—81no—
1022D61—81no—
1023D61—81no—
1024C2×H(5,𝔽2)—611no—
1025C22×#41—611no—
1026C2×AGL(1,ℤ/8)—611no—
1027C2×AGL(1,ℤ/8)—611no—
1028C2×AGL(1,ℤ/8)—611no—
1029C2×AGL(1,ℤ/8)—611no—
1030C22×SD16—611no—
1031C22×D8—611no—
1032C22×D8—611no—
1033C22×D8—611no—
1034#560—1221no—
1035#560—1221no—
1036#553—611no—
1037#553—611no—
1038#553—611no—
1039#553—611no—
1040#550—611no—
1041#550—611no—
1042#548—611no—
1043#548—611no—
1044#546—611no—
1045#546—611no—
1046#546—1221no—
1047#546—1221no—
1048D42—611no—
1049D42—611no—
1050D42—611no—
1051D42—611no—
1052D42—611no—
1053D42—611no—
1054D42—1221no—
1055D42—1221no—
1056D42—1221no—
1057D42—1221no—
1058#540—611no—
1059#540C2×D6111yescharacteristic, complemented
1060#538—1221no—
1061#538—1221no—
1062#537—611no—
1063#537—1221no—
1064#535—611no—
1065#535—611no—
1066#535—611no—
1067#535—1221no—
1068#534—1221no—
1069#534—1221no—
1070#525—611no—
1071#525—1221no—
1072C2×#121—611no—
1073C2×#121—611no—
1074C2×#121—611no—
1075C2×#121—1221no—
1076#520C2×D6111yescharacteristic, complemented
1077#496—611no—
1078#496—611no—
1079#493—611no—
1080#493—611no—
1081#490—611no—
1082#490—611no—
1083#488—611no—
1084#488—611no—
1085#485—611no—
1086#485—611no—
1087#482—611no—
1088#482—611no—
1089#481—611no—
1090#481—611no—
1091#481—611no—
1092#481C2×D6111yescharacteristic, complemented
1093#480—611no—
1094#480—611no—
1095#480—611no—
1096#480C2×D6111yescharacteristic, complemented
1097#479—611no—
1098#479C2×D6111yescharacteristic, complemented
1099#478—611no—
1100#478C2×D6111yescharacteristic, complemented
1101#469—611no—
1102#469—611no—
1103#469—611no—
1104#469—611no—
1105#469—611no—
1106#469—611no—
1107#468—611no—
1108#468—611no—
1109#466—611no—
1110#466—611no—
1111#466—611no—
1112#466—611no—
1113#466—611no—
1114#466—611no—
1115#465—611no—
1116#465—611no—
1117#463—611no—
1118#463—611no—
1119#463—611no—
1120#463—611no—
1121#460—611no—
1122#460C2×D6111yescharacteristic, complemented
1123#459—611no—
1124#459—611no—
1125#459—611no—
1126#459—611no—
1127#459—611no—
1128#459C2×D6111yescharacteristic, complemented
1129#450—611no—
1130#450—611no—
1131#449—611no—
1132#449—611no—
1133#449—611no—
1134#449—611no—
1135#449—611no—
1136#449—611no—
1137#449—611no—
1138#449—611no—
1139#449—611no—
1140#449—611no—
1141#449—611no—
1142#449—611no—
1143#449—611no—
1144#449—611no—
1145#449C2×D6111yescharacteristic, complemented
1146#449C2×D6111yescharacteristic, complemented
1147#448—611no—
1148#448—611no—
1149#447—611no—
1150#447—611no—
1151#447—611no—
1152#447—611no—
1153#447—611no—
1154#447—611no—
1155#447—611no—
1156#447—611no—
1157#447—611no—
1158#447—611no—
1159#447—611no—
1160#447—611no—
1161#447—611no—
1162#447—611no—
1163#447—611no—
1164#447—611no—
1165#442—611no—
1166#442C2×D6111yescharacteristic, complemented
1167#440—611no—
1168#440C2×D6111yescharacteristic, complemented
1169C4×SD16—611no—
1170C4×SD16C2×D6111yescharacteristic, complemented
1171C4×D8—611no—
1172C4×D8C2×D6111yescharacteristic, complemented
1173#436—611no—
1174#436—611no—
1175#435—611no—
1176#435—611no—
1177#435—611no—
1178#435—611no—
1179C8×D4—611no—
1180C8×D4—611no—
1181#433—611no—
1182#433C2×D6111yescharacteristic, complemented
1183#418—611no—
1184#418—611no—
1185#417—611no—
1186#417—611no—
1187#416—611no—
1188#416—611no—
1189C2×#103—611no—
1190C2×#102—611no—
1191#408—611no—
1192#408—611no—
1193#407—611no—
1194C2×C22⋊C8—611no—
1195C61#6161711yescharacteristic, complemented, Sylow
1196H(5,𝔽2)—2442no—
1197H(5,𝔽2)—2442no—
1198C2×#41—611no—
1199C2×#41—611no—
1200C2×#41—611no—
1201C2×#41—611no—
1202C2×#41—611no—
1203C2×#41—611no—
1204C2×#41—1221no—
1205C2×#41—1221no—
1206C2×#41—1221no—
1207C2×#41—2442no—
1208C2×#41—2442no—
1209C2×#41C22×D6111yescharacteristic
1210C22×Q8—611no—
1211C22×D4—611no—
1212C22×D4—611no—
1213C22×D4—611no—
1214C22×D4—611no—
1215C22×D4—611no—
1216C22×D4—611no—
1217C22×D4—611no—
1218C22×D4—611no—
1219C22×D4—1221no—
1220C22×D4—1221no—
1221C22×D4—1221no—
1222C22×D4—1221no—
1223C22×D4—1221no—
1224C22×D4—1221no—
1225C22×D4—1221no—
1226C22×D4—1221no—
1227C22×D4—1221no—
1228C22×D4—1221no—
1229C22×D4—1221no—
1230C22×D4—1221no—
1231C22×D4—1221no—
1232C23×C4—611no—
1233C23×C4—1221no—
1234AGL(1,ℤ/8)—2442no—
1235AGL(1,ℤ/8)—2442no—
1236AGL(1,ℤ/8)—2442no—
1237AGL(1,ℤ/8)—2442no—
1238C2×SD16—611no—
1239C2×SD16—611no—
1240C2×SD16—611no—
1241C2×SD16—611no—
1242C2×SD16—611no—
1243C2×SD16—611no—
1244C2×SD16—2442no—
1245C2×SD16C22×D6111yescharacteristic
1246C2×SD16C22×D6111yescharacteristic
1247C2×D8—611no—
1248C2×D8—611no—
1249C2×D8—611no—
1250C2×D8—611no—
1251C2×D8—611no—
1252C2×D8—611no—
1253C2×D8—611no—
1254C2×D8—611no—
1255C2×D8—611no—
1256C2×D8—611no—
1257C2×D8—611no—
1258C2×D8—611no—
1259C2×D8—611no—
1260C2×D8—611no—
1261C2×D8—2442no—
1262C2×D8—2442no—
1263C2×D8—2442no—
1264C2×D8C22×D6111yescharacteristic
1265C2×D8C22×D6111yescharacteristic
1266C2×M16—611no—
1267C2×M16—611no—
1268C2×M16—611no—
1269C2×M16—611no—
1270C22×C8—611no—
1271C22×C8—611no—
1272C22×C8—611no—
1273C22×C8—611no—
1274#127—611no—
1275#127—611no—
1276#127—611no—
1277#127—1221no—
1278#127—1221no—
1279#127—1221no—
1280#127—1221no—
1281#127C22×D6111yescharacteristic
1282#126—1221no—
1283#126—1221no—
1284#126—1221no—
1285#126—1221no—
1286#125—611no—
1287#125C22×D6111yescharacteristic
1288#124—611no—
1289#124—611no—
1290#124—1221no—
1291#124—1221no—
1292#124—1221no—
1293#124—1221no—
1294#123—21no—
1295#123—21no—
1296#123—611no—
1297#123—611no—
1298#123—1221no—
1299#123—1221no—
1300#123—1221no—
1301#123—1221no—
1302#123—1221no—
1303#123—1221no—
1304#123—1221no—
1305#123—1221no—
1306C22⋊Q8—611no—
1307C22⋊Q8—611no—
1308C22⋊Q8—611no—
1309C22⋊Q8—611no—
1310C22⋊Q8—1221no—
1311C22⋊Q8—1221no—
1312C22⋊Q8—1221no—
1313#121—21no—
1314#121—21no—
1315#121—611no—
1316#121—611no—
1317#121—611no—
1318#121—611no—
1319#121—611no—
1320#121—611no—
1321#121—611no—
1322#121—611no—
1323#121—611no—
1324#121—611no—
1325#121—611no—
1326#121—611no—
1327#121—611no—
1328#121—611no—
1329#121—611no—
1330#121—611no—
1331#121—611no—
1332#121—611no—
1333#121—1221no—
1334#121—1221no—
1335#121—1221no—
1336#121—1221no—
1337#121—1221no—
1338#121—1221no—
1339#121—1221no—
1340#121—1221no—
1341#121—1221no—
1342#121—1221no—
1343#121—1221no—
1344#121—1221no—
1345#121—1221no—
1346#121—1221no—
1347#121—1221no—
1348#121—1221no—
1349#121—1221no—
1350#121—1221no—
1351#121—1221no—
1352#121—1221no—
1353#121—1221no—
1354#121—1221no—
1355#121—1221no—
1356#121—1221no—
1357#121—1221no—
1358#121—1221no—
1359#121—1221no—
1360#121—1221no—
1361#121—1221no—
1362#121—1221no—
1363#121—1221no—
1364#121C22×D6111yescharacteristic
1365#121C22×D6111yescharacteristic
1366#120—611no—
1367#120—611no—
1368#120—1221no—
1369#120—1221no—
1370#120—1221no—
1371#120—1221no—
1372#120—1221no—
1373#120—1221no—
1374#120—1221no—
1375#120—1221no—
1376#120—1221no—
1377#120—1221no—
1378#120—1221no—
1379#120—1221no—
1380#120—1221no—
1381#120—1221no—
1382#120—1221no—
1383#120—1221no—
1384#120—1221no—
1385#120—1221no—
1386#120—1221no—
1387#120—1221no—
1388C4×Q8C22×D6111yescharacteristic
1389C4×Q8C22×D6111yescharacteristic
1390C4×D4—21no—
1391C4×D4—21no—
1392C4×D4—611no—
1393C4×D4—611no—
1394C4×D4—611no—
1395C4×D4—611no—
1396C4×D4—611no—
1397C4×D4—611no—
1398C4×D4—1221no—
1399C4×D4—1221no—
1400C4×D4—1221no—
1401C4×D4—1221no—
1402C4×D4—1221no—
1403C4×D4—1221no—
1404C4×D4—1221no—
1405C4×D4—1221no—
1406C4×D4C22×D6111yescharacteristic
1407C4×D4C22×D6111yescharacteristic
1408C4×D4C22×D6111yescharacteristic
1409C4×D4C22×D6111yescharacteristic
1410#117—21no—
1411#117—611no—
1412#117—611no—
1413#117C22×D6111yescharacteristic
1414C2×C4⋊C4—21no—
1415C2×C4⋊C4—611no—
1416C2×C4⋊C4—611no—
1417C2×C4⋊C4C22×D6111yescharacteristic
1418C2×C22⋊C4—1221no—
1419C2×C22⋊C4—1221no—
1420C2×C22⋊C4—1221no—
1421C2×C22⋊C4—1221no—
1422C2×C22⋊C4—1221no—
1423#107—611no—
1424#107—611no—
1425#107C22×D6111yescharacteristic
1426#107C22×D6111yescharacteristic
1427#106—611no—
1428#106—611no—
1429#106C22×D6111yescharacteristic
1430#106C22×D6111yescharacteristic
1431C4⋊C8—611no—
1432C4⋊C8—611no—
1433C4⋊C8C22×D6111yescharacteristic
1434C4⋊C8C22×D6111yescharacteristic
1435#103—611no—
1436#103—611no—
1437#103—611no—
1438#103—611no—
1439#103—611no—
1440#103—611no—
1441#103C22×D6111yescharacteristic
1442#103C22×D6111yescharacteristic
1443#102—611no—
1444#102—611no—
1445#102—611no—
1446#102—611no—
1447#102—611no—
1448#102—611no—
1449#102—611no—
1450#102—611no—
1451#102—611no—
1452#102—611no—
1453#102—611no—
1454#102—611no—
1455#102—611no—
1456#102—611no—
1457#102—611no—
1458#102—611no—
1459#102—611no—
1460#102—611no—
1461#102C22×D6111yescharacteristic
1462#102C22×D6111yescharacteristic
1463#102C22×D6111yescharacteristic
1464#102C22×D6111yescharacteristic
1465#102C22×D6111yescharacteristic
1466#102C22×D6111yescharacteristic
1467C22⋊C8—611no—
1468C22⋊C8—611no—
1469C22⋊C8—611no—
1470C22⋊C8—611no—
1471C22⋊C8—611no—
1472C22⋊C8—611no—
1473C22⋊C8—611no—
1474C22⋊C8—611no—
1475C22⋊C8—611no—
1476C22⋊C8—611no—
1477C22⋊C8C22×D6111yescharacteristic
1478C22⋊C8C22×D6111yescharacteristic
1479#97—611no—
1480#97C22×D6111yescharacteristic
1481C4×C8—611no—
1482C4×C8C22×D6111yescharacteristic
1483C24—611no—
1484C24—1221no—
1485C24—1221no—
1486C24—1221no—
1487C24—1221no—
1488C24—1221no—
1489C24—1221no—
1490C24—1221no—
1491C24—1221no—
1492#41—22no—
1493#41—22no—
1494#41—1222no—
1495#41—1222no—
1496#41—1222no—
1497#41—1222no—
1498#41—2441no—
1499#41—2441no—
1500#41—2441no—
1501#41—2441no—
1502#41—2444no—
1503#41—2444no—
1504#41—2441no—
1505#41—2441no—
1506#41—2441no—
1507#41—2441no—
1508#41—2444no—
1509C2×Q8—611no—
1510C2×Q8—611no—
1511C2×Q8—1221no—
1512C2×Q8—1222no—
1513C2×Q8—2441no—
1514C2×Q8C23×D6111yescharacteristic
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—611no—
1521C2×D4—611no—
1522C2×D4—611no—
1523C2×D4—611no—
1524C2×D4—611no—
1525C2×D4—611no—
1526C2×D4—611no—
1527C2×D4—611no—
1528C2×D4—611no—
1529C2×D4—611no—
1530C2×D4—611no—
1531C2×D4—611no—
1532C2×D4—1221no—
1533C2×D4—1221no—
1534C2×D4—1221no—
1535C2×D4—1221no—
1536C2×D4—1221no—
1537C2×D4—1221no—
1538C2×D4—1221no—
1539C2×D4—1221no—
1540C2×D4—1221no—
1541C2×D4—1221no—
1542C2×D4—1221no—
1543C2×D4—1221no—
1544C2×D4—1221no—
1545C2×D4—1221no—
1546C2×D4—1221no—
1547C2×D4—1221no—
1548C2×D4—1221no—
1549C2×D4—1221no—
1550C2×D4—1221no—
1551C2×D4—1221no—
1552C2×D4—1222no—
1553C2×D4—1222no—
1554C2×D4—1222no—
1555C2×D4—1221no—
1556C2×D4—1221no—
1557C2×D4—1221no—
1558C2×D4—1221no—
1559C2×D4—1221no—
1560C2×D4—1221no—
1561C2×D4—1221no—
1562C2×D4—1221no—
1563C2×D4—1221no—
1564C2×D4—1221no—
1565C2×D4—1221no—
1566C2×D4—1221no—
1567C2×D4—1221no—
1568C2×D4—1221no—
1569C2×D4—1221no—
1570C2×D4—4882no—
1571C2×D4—4882no—
1572C2×D4—4882no—
1573C2×D4—4882no—
1574C2×D4—4882no—
1575C2×D4—4882no—
1576C2×D4—4882no—
1577C2×D4—4882no—
1578C2×D4—4882no—
1579C2×D4—2441no—
1580C2×D4—2441no—
1581C2×D4—2444no—
1582C2×D4—2441no—
1583C2×D4—2441no—
1584C2×D4—2441no—
1585C2×D4—2441no—
1586C2×D4—2441no—
1587C2×D4—2441no—
1588C2×D4—2441no—
1589C2×D4—2441no—
1590C2×D4—2441no—
1591C2×D4—2441no—
1592C2×D4—2441no—
1593C2×D4—2444no—
1594C2×D4—2444no—
1595C2×D4—2444no—
1596C2×D4C23×D6111yescharacteristic
1597C2×D4C23×D6111yescharacteristic
1598C2×D4C23×D6111yescharacteristic
1599C22×C4—21no—
1600C22×C4—21no—
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—611no—
1606C22×C4—611no—
1607C22×C4—611no—
1608C22×C4—611no—
1609C22×C4—611no—
1610C22×C4—611no—
1611C22×C4—611no—
1612C22×C4—1221no—
1613C22×C4—1221no—
1614C22×C4—1221no—
1615C22×C4—1221no—
1616C22×C4—1221no—
1617C22×C4—1221no—
1618C22×C4—1221no—
1619C22×C4—1221no—
1620C22×C4—1221no—
1621C22×C4—1221no—
1622C22×C4—2441no—
1623C22×C4—2441no—
1624C22×C4—2444no—
1625C22×C4C23×D6111yescharacteristic
1626SD16—22no—
1627SD16—22no—
1628SD16—1222no—
1629SD16—1222no—
1630SD16—2441no—
1631SD16—2441no—
1632SD16—2441no—
1633SD16—2441no—
1634D8—22no—
1635D8—22no—
1636D8—1222no—
1637D8—1222no—
1638D8—2441no—
1639D8—2441no—
1640D8—2441no—
1641D8—2441no—
1642D8—2441no—
1643D8—2441no—
1644D8—2441no—
1645D8—2441no—
1646D8—2441no—
1647D8—2441no—
1648D8—2441no—
1649D8—2441no—
1650M16—2441no—
1651M16—2441no—
1652M16—2441no—
1653M16—2441no—
1654C2×C8—611no—
1655C2×C8—611no—
1656C2×C8—611no—
1657C2×C8—611no—
1658C2×C8—2441no—
1659C2×C8—2441no—
1660C2×C8—2441no—
1661C2×C8—2441no—
1662C2×C8C23×D6111yescharacteristic
1663C2×C8C23×D6111yescharacteristic
1664C2×C8C23×D6111yescharacteristic
1665C2×C8C23×D6111yescharacteristic
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—21no—
1670C4⋊C4—21no—
1671C4⋊C4—611no—
1672C4⋊C4—611no—
1673C4⋊C4—611no—
1674C4⋊C4—611no—
1675C4⋊C4—611no—
1676C4⋊C4—611no—
1677C4⋊C4—1221no—
1678C4⋊C4—1221no—
1679C4⋊C4—1221no—
1680C4⋊C4—1221no—
1681C4⋊C4—1221no—
1682C4⋊C4—1221no—
1683C4⋊C4D4×D6111yescharacteristic
1684C4⋊C4D4×D6111yescharacteristic
1685C4⋊C4C23×D6111yescharacteristic
1686C4⋊C4C23×D6111yescharacteristic
1687C4⋊C4C23×D6111yescharacteristic
1688C4⋊C4C23×D6111yescharacteristic
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—611no—
1696C22⋊C4—611no—
1697C22⋊C4—611no—
1698C22⋊C4—611no—
1699C22⋊C4—611no—
1700C22⋊C4—611no—
1701C22⋊C4—611no—
1702C22⋊C4—611no—
1703C22⋊C4—1221no—
1704C22⋊C4—1221no—
1705C22⋊C4—1221no—
1706C22⋊C4—1221no—
1707C22⋊C4—1221no—
1708C22⋊C4—1221no—
1709C22⋊C4—1221no—
1710C22⋊C4—1221no—
1711C22⋊C4—1221no—
1712C22⋊C4—1221no—
1713C22⋊C4—1221no—
1714C22⋊C4—1221no—
1715C22⋊C4—1221no—
1716C22⋊C4—1221no—
1717C22⋊C4—1221no—
1718C22⋊C4—1221no—
1719C22⋊C4—1221no—
1720C22⋊C4—1221no—
1721C22⋊C4—1221no—
1722C22⋊C4—1221no—
1723C22⋊C4—1221no—
1724C22⋊C4—1221no—
1725C22⋊C4—1221no—
1726C22⋊C4—1221no—
1727C22⋊C4—1221no—
1728C22⋊C4—1221no—
1729C22⋊C4D4×D6111yescharacteristic
1730C22⋊C4D4×D6111yescharacteristic
1731C42—21no—
1732C42—21no—
1733C42—1221no—
1734C42—1221no—
1735C42C23×D6111yescharacteristic
1736C42C23×D6111yescharacteristic
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—611no—
1741C23—611no—
1742C23—611no—
1743C23—611no—
1744C23—1222no—
1745C23—1221no—
1746C23—1221no—
1747C23—1221no—
1748C23—1221no—
1749C23—1221no—
1750C23—4881no—
1751C23—4881no—
1752C23—4881no—
1753C23—4881no—
1754C23—4881no—
1755C23—4881no—
1756C23—4881no—
1757C23—4881no—
1758C23—4881no—
1759C23—4881no—
1760C23—4881no—
1761C23—4881no—
1762C23—4881no—
1763C23—4881no—
1764C23—4881no—
1765C23—4881no—
1766C23—4881no—
1767C23—2441no—
1768C23—2441no—
1769C23—2442no—
1770C23—2442no—
1771C23—2442no—
1772C23—2442no—
1773C23—2442no—
1774C23—2442no—
1775C23—2442no—
1776C23C2×D4×D6111yescharacteristic
1777Q8—21no—
1778Q8—1221no—
1779Q8—1221no—
1780Q8—2441no—
1781Q8—2442no—
1782Q8#1451982312yes—
1783D4—24no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—81no—
1790D4—81no—
1791D4—81no—
1792D4—81no—
1793D4—1222no—
1794D4—1222no—
1795D4—1221no—
1796D4—1221no—
1797D4—1221no—
1798D4—1221no—
1799D4—1221no—
1800D4—1221no—
1801D4—1221no—
1802D4—1221no—
1803D4—1221no—
1804D4—1221no—
1805D4—4881no—
1806D4—4881no—
1807D4—4881no—
1808D4—4881no—
1809D4—4881no—
1810D4—4881no—
1811D4—4881no—
1812D4—4881no—
1813D4—4881no—
1814D4—4881no—
1815D4—4881no—
1816D4—4881no—
1817D4—4881no—
1818D4—4881no—
1819D4—4881no—
1820D4—4881no—
1821D4—4881no—
1822D4—4881no—
1823D4—4881no—
1824D4—4881no—
1825D4—2441no—
1826D4—2441no—
1827D4—2441no—
1828D4—2442no—
1829D4—2442no—
1830D4—2442no—
1831D4—2442no—
1832D4—2442no—
1833D4—2442no—
1834D4—2442no—
1835D4—2442no—
1836D4—2441no—
1837D4—2441no—
1838D4—2442no—
1839D4—2442no—
1840D4—2442no—
1841D4—2442no—
1842D4—2442no—
1843D4—2442no—
1844D4—2442no—
1845D4#1451982312yes—
1846C2×C4—24no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—81no—
1855C2×C4—81no—
1856C2×C4—81no—
1857C2×C4—81no—
1858C2×C4—81no—
1859C2×C4—611no—
1860C2×C4—611no—
1861C2×C4—611no—
1862C2×C4—611no—
1863C2×C4—1221no—
1864C2×C4—1221no—
1865C2×C4—1221no—
1866C2×C4—1221no—
1867C2×C4—1221no—
1868C2×C4—1221no—
1869C2×C4—1221no—
1870C2×C4—1221no—
1871C2×C4—1221no—
1872C2×C4—1221no—
1873C2×C4—1221no—
1874C2×C4—4881no—
1875C2×C4—4881no—
1876C2×C4—4881no—
1877C2×C4—4881no—
1878C2×C4—2441no—
1879C2×C4—2441no—
1880C2×C4—2442no—
1881C2×C4—2442no—
1882C2×C4—2442no—
1883C2×C4—2442no—
1884C2×C4—2442no—
1885C2×C4—2441no—
1886C2×C4—2442no—
1887C2×C4C2×D4×D6111yescharacteristic
1888C2×C4C2×D4×D6111yescharacteristic
1889C2×C4C2×D4×D6111yescharacteristic
1890C2×C4C2×D4×D6111yescharacteristic
1891C2×C4C2×D4×D6111yescharacteristic
1892C2×C4C24×D6111yescharacteristic
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—21no—
1897C8—1221no—
1898C8—1221no—
1899C8—1221no—
1900C8—1221no—
1901C22—21no—
1902C22—21no—
1903C22—21no—
1904C22—22no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—612no—
1914C22—1221no—
1915C22—1221no—
1916C22—1221no—
1917C22—1221no—
1918C22—1221no—
1919C22—1221no—
1920C22—1221no—
1921C22—1221no—
1922C22—1221no—
1923C22—1221no—
1924C22—1221no—
1925C22—9762no—
1926C22—9762no—
1927C22—9762no—
1928C22—9762no—
1929C22—9762no—
1930C22—9762no—
1931C22—9762no—
1932C22—4884no—
1933C22—4882no—
1934C22—2441no—
1935C22—2441no—
1936C22—2441no—
1937C22—2441no—
1938C22—2441no—
1939C22—2441no—
1940C22—2441no—
1941C22—2441no—
1942C22—2441no—
1943C22—2441no—
1944C22—2441no—
1945C22—2441no—
1946C22—2441no—
1947C22—2441no—
1948C22—2441no—
1949C22C22×D4×D6111yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—21no—
1954C4—21no—
1955C4—22no—
1956C4—41no—
1957C4—41no—
1958C4—41no—
1959C4—41no—
1960C4—1221no—
1961C4—1221no—
1962C4—1221no—
1963C4—1221no—
1964C4—2441no—
1965C4—2441no—
1966C4—2441no—
1967C4C2×#1451982311yescharacteristic
1968C4C2×#1451982311yescharacteristic
1969C2—41no—
1970C2—42no—
1971C2—81no—
1972C2—81no—
1973C2—1222no—
1974C2—4881no—
1975C2—4881no—
1976C2—4881no—
1977C2—4881no—
1978C2—4881no—
1979C2—2441no—
1980C2—2441no—
1981C2—2441no—
1982C2#2145945211yescharacteristic
1983C2#576×D6111yescharacteristic
1984C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3119C2
socleC22×C61C23×D4
hypercenter#3119D61
hypocenterC61#61617
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #21460057C2semidirect
2. #21459489C2semidirect
3. #21458025C2semidirect
4. #21458017C2semidirect
5. #21457965C2semidirect
6. #21457957C2semidirect
7. #21457830C2semidirect
8. #21457822C2semidirect
9. #21457726C2semidirect
10. #21457718C2semidirect
11. D8×D244C2semidirect
12. #21457491C2semidirect
13. #21457440C2semidirect
14. #21457434C2semidirect
15. #21457316C2semidirect
16. #21457309C2semidirect
17. #21457301C2semidirect
18. #21457294C2semidirect
19. #21456871C2semidirect
20. #21456863C2semidirect
21. #21456678C2semidirect
22. #21456676C2semidirect
23. #21456618C2semidirect
24. #21456569C2semidirect
25. #21456018C2semidirect
26. #21455084C2semidirect
27. #21455084C2semidirect
28. #21455068C2semidirect
29. #449×D61C2semidirect
30. #21454865C2semidirect
31. C61×#3119C2semidirect
32. C2×#14519823C22semidirect
33. C2×#41×D61C22semidirect
34. C2×#14519804C22semidirect
35. C2×#14519804C22semidirect
36. C2×#14519804C22semidirect
37. C2×#14519801C22semidirect
38. C2×SD16×D61C22semidirect
39. C2×D8×D61C22semidirect
40. C2×D8×D61C22semidirect
41. C2×D8×D61C22semidirect
44. #16840465C22semidirect
45. #16840465C22semidirect
46. #16840462C22semidirect
47. #16840462C22semidirect
48. #16840434C22semidirect
49. #16840434C22semidirect
50. #16840424C22semidirect
51. #16840424C22semidirect
54. #16840407C22semidirect
55. #16840407C22semidirect
58. D4×D244C22semidirect
59. D4×D244C22semidirect
60. D4×D244C22semidirect
61. D4×D244C22semidirect
62. #16840397C22semidirect
63. #16840397C22semidirect
66. #16840367C22semidirect
70. #16840343C22semidirect
72. #16840331C22semidirect
73. #16840328C22semidirect
74. #16840328C22semidirect
80. C2×#14519752C22semidirect
81. #121×D61C22semidirect
82. #121×D61C22semidirect
83. #16840151C22semidirect
84. #16840149C22semidirect
85. #16840139C22semidirect
86. #16840138C22semidirect
87. #16840128C22semidirect
88. #16840127C22semidirect
89. #16840119C22semidirect
90. #16840117C22semidirect
91. #16840106C22semidirect
92. #16840105C22semidirect
93. #16840089C22semidirect
94. #16840088C22semidirect
95. #16840082C22semidirect
96. #16840082C22semidirect
97. #16840080C22semidirect
98. #16840077C22semidirect
99. #16840077C22semidirect
100. #16840075C22semidirect
101. #16840069C22semidirect
102. #16840062C22semidirect
103. #16840016C22semidirect
104. #16840016C22semidirect
105. #16840016C22semidirect
106. #16840014C22semidirect
107. #16840014C22semidirect
108. #16840014C22semidirect
109. #16840009C22semidirect
110. #16840007C22semidirect
111. #16839999C22semidirect
112. #16839999C22semidirect
113. #16839999C22semidirect
114. #16839997C22semidirect
115. #16839997C22semidirect
116. #16839997C22semidirect
117. #16839992C22semidirect
118. #16839990C22semidirect
119. #16839978C22semidirect
120. #16839978C22semidirect
121. #16839977C22semidirect
122. #16839977C22semidirect
123. #16839962C22semidirect
124. #16839958C22semidirect
125. #16839958C22semidirect
126. #16839957C22semidirect
127. #16839957C22semidirect
128. #16839957C22semidirect
129. #16839914C22semidirect
130. #16839914C22semidirect
131. #16839910C22semidirect
132. #16839910C22semidirect
133. #16839910C22semidirect
134. #16839909C22semidirect
135. #16839909C22semidirect
136. #16839908C22semidirect
137. #16839907C22semidirect
138. #16839907C22semidirect
139. #16839906C22semidirect
140. #16839906C22semidirect
141. #16839906C22semidirect
142. #16839905C22semidirect
143. #16839905C22semidirect
144. #16839904C22semidirect
145. #16839902C22semidirect
146. #16839899C22semidirect
147. #16839898C22semidirect
148. #16839898C22semidirect
149. #16839897C22semidirect
150. #16839897C22semidirect
151. #16839897C22semidirect
152. #16839897C22semidirect
153. #16839897C22semidirect
154. #16839897C22semidirect
155. #16839897C22semidirect
156. #16839897C22semidirect
157. #16839897C22semidirect
158. #16839895C22semidirect
159. #16839895C22semidirect
160. #16839894C22semidirect
161. #16839894C22semidirect
162. #16839894C22semidirect
163. #16839872C22semidirect
164. #16839860C22semidirect
165. C4×#11758201C22semidirect
166. C4×#11758199C22semidirect
167. #16839841C22semidirect
168. #16839839C22semidirect
169. #16839835C22semidirect
170. #16839835C22semidirect
171. #16839832C22semidirect
172. #16839832C22semidirect
173. C8×D244C22semidirect
174. #16839827C22semidirect
175. #16839823C22semidirect
176. #16839765C22semidirect
177. #16839765C22semidirect
178. #16839762C22semidirect
179. #16839760C22semidirect
180. #16839757C22semidirect
181. #16839757C22semidirect
182. #103×D61C22semidirect
183. #102×D61C22semidirect
184. #16839727C22semidirect
185. #16839727C22semidirect
186. #16839724C22semidirect
187. C22⋊C8×D61C22semidirect
188. C61×#540C22semidirect
189. C61×#520C22semidirect
190. C61×#481C22semidirect
191. C61×#480C22semidirect
192. C61×#479C22semidirect
193. C61×#478C22semidirect
194. C61×#460C22semidirect
195. C61×#459C22semidirect
196. C61×#449C22semidirect
197. C61×#449C22semidirect
198. C61×#442C22semidirect
199. C61×#440C22semidirect
200. C4×SD16×C61C22semidirect
201. C4×D8×C61C22semidirect
202. C61×#433C22semidirect
1002. #3119D61semidirect
1059. #540C2×D61semidirect
1076. #520C2×D61semidirect
1092. #481C2×D61semidirect
1096. #480C2×D61semidirect
1098. #479C2×D61semidirect
1100. #478C2×D61semidirect
1122. #460C2×D61semidirect
1128. #459C2×D61semidirect
1145. #449C2×D61semidirect
1146. #449C2×D61semidirect
1166. #442C2×D61semidirect
1168. #440C2×D61semidirect
1170. C4×SD16C2×D61semidirect
1172. C4×D8C2×D61semidirect
1182. #433C2×D61semidirect
1195. C61#61617semidirect

Maximal subgroups

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

subgroupindex
#214600572
#214594892
#214580252
#214580172
#214579652
#214579572
#214578302
#214578222
#214577262
#214577182
D8×D2442
#214574912
#214574402
#214574342
#214573162
#214573092
#214573012
#214572942
#214568712
#214568632
#214566782
#214566762
#214566182
#214565692
#214560182
#214550842
#214550682
#449×D612
#214548652
C61×#31192
#6161761