Finite Group Databasebeta

← #30557067

Subgroups — #30557067

Order 15616.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459372C211yesmaximal, characteristic, complemented
2#547×D61C211yesmaximal, characteristic, complemented
3#21458130C211yesmaximal, characteristic, complemented
4#21458128C211yesmaximal, characteristic, complemented
5#21458122C211yesmaximal, characteristic, complemented
6#21458120C211yesmaximal, characteristic, complemented
7#21457922C211yesmaximal, characteristic, complemented
8#21457920C211yesmaximal, characteristic, complemented
9#21457909C211yesmaximal, characteristic, complemented
10#21457797C211yesmaximal, characteristic, complemented
11#21457795C211yesmaximal, characteristic, complemented
12#21457794C211yesmaximal, characteristic, complemented
13#21457792C211yesmaximal, characteristic, complemented
14#21457745C211yesmaximal, characteristic, complemented
15#21457743C211yesmaximal, characteristic, complemented
16#21457731C211yesmaximal, characteristic, complemented
17#21457729C211yesmaximal, characteristic, complemented
18#21456198C211yesmaximal, characteristic, complemented
19#21455766C211yesmaximal, characteristic, complemented
20#21455764C211yesmaximal, characteristic, complemented
21#21455614C211yesmaximal, characteristic, complemented
22#21455448C211yesmaximal, characteristic, complemented
23#21455446C211yesmaximal, characteristic, complemented
24#21455303C211yesmaximal, characteristic, complemented
25#21455062C211yesmaximal, characteristic, complemented
26#21455062C211yesmaximal, characteristic, complemented
27#21454624C211yesmaximal, characteristic, complemented
28#21454552C211yesmaximal, characteristic, complemented
29#21454335C211yesmaximal, characteristic, complemented
30#21454334C211yesmaximal, characteristic, complemented
31C61×#3315C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic
35C2×#14519809C2211yescharacteristic
36C2×#14519804C2211yescharacteristic
37C22×#11758189C2211yescharacteristic
38C2×M16×D61C2211yescharacteristic
39#16840483C2211yescharacteristic, complemented
40#16840475C2211yescharacteristic, complemented
41#16840470C2211yescharacteristic, complemented
42#16840465C2211yescharacteristic, complemented
43#16840458C2211yescharacteristic, complemented
44#16840453C2211yescharacteristic, complemented
45#16840444—21no—
46#16840437—21no—
47#16840436—21no—
48#16840417C2211yescharacteristic
49#16840416C2211yescharacteristic
50#16840415C2211yescharacteristic
51#16840414C2211yescharacteristic
52#16840414C2211yescharacteristic
53#16840413—21no—
54#16840413C2211yescharacteristic, complemented
55#16840412—21no—
56#16840411C2211yescharacteristic
57#16840411C2211yescharacteristic
58#16840410—21no—
59#16840410—21no—
60#16840404—21no—
61#16840318C2211yescharacteristic
62C4⋊Q8×D61C2211yescharacteristic
63#16840297—21no—
64#16840295—21no—
65#16840289—21no—
66#16840275C2211yescharacteristic
67#16840275C2211yescharacteristic
68#123×D61—21no—
69#123×D61—21no—
70C22⋊Q8×D61C2211yescharacteristic
71C22⋊Q8×D61C2211yescharacteristic
72#121×D61—21no—
73C4×#11758226C2211yescharacteristic
74#16840230—21no—
75C4×D4×D61C2211yescharacteristic
76C4×D4×D61C2211yescharacteristic
77C2×#14519735C2211yescharacteristic
78#117×D61C2211yescharacteristic
79C2×C4⋊C4×D61—21no—
80#16840132C2211yescharacteristic, complemented
81#16840131C2211yescharacteristic, complemented
82#16840130C2211yescharacteristic, complemented
83#16840111C2211yescharacteristic, complemented
84#16840111C2211yescharacteristic, complemented
85#16840111C2211yescharacteristic, complemented
86#16840111C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840103C2211yescharacteristic, complemented
91#16840101C2211yescharacteristic, complemented
92#16840101C2211yescharacteristic, complemented
93#16840100C2211yescharacteristic, complemented
94#16840099C2211yescharacteristic, complemented
95#16840097C2211yescharacteristic, complemented
96#16840096C2211yescharacteristic, complemented
97#16840094C2211yescharacteristic, complemented
98#16840093C2211yescharacteristic, complemented
99#16840091C2211yescharacteristic, complemented
100#16840090C2211yescharacteristic, complemented
101#16840063C2211yescharacteristic, complemented
102#16840062C2211yescharacteristic, complemented
103#16840059C2211yescharacteristic, complemented
104#16840051C2211yescharacteristic, complemented
105#16840050C2211yescharacteristic, complemented
106#16840041C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic, complemented
109#16840018C2211yescharacteristic, complemented
110#16840017C2211yescharacteristic, complemented
111#16840011C2211yescharacteristic, complemented
112#16840010C2211yescharacteristic, complemented
113#16840009C2211yescharacteristic, complemented
114#16840008C2211yescharacteristic, complemented
115#16840002C2211yescharacteristic, complemented
116#16840001C2211yescharacteristic, complemented
117#16840000C2211yescharacteristic, complemented
118#16839994C2211yescharacteristic, complemented
119#16839993C2211yescharacteristic, complemented
120#16839992C2211yescharacteristic, complemented
121#16839991C2211yescharacteristic, complemented
122#16839972C2211yescharacteristic, complemented
123#16839970C2211yescharacteristic, complemented
124#16839970C2211yescharacteristic, complemented
125#16839968C2211yescharacteristic, complemented
126#16839966C2211yescharacteristic, complemented
127#16839966C2211yescharacteristic, complemented
128#16839964C2211yescharacteristic, complemented
129#16839923C2211yescharacteristic, complemented
130#16839923C2211yescharacteristic, complemented
131#16839922C2211yescharacteristic, complemented
132#16839922C2211yescharacteristic, complemented
133#16839921C2211yescharacteristic, complemented
134#16839921C2211yescharacteristic, complemented
135#16839910C2211yescharacteristic, complemented
136#16839910C2211yescharacteristic, complemented
137#16839909C2211yescharacteristic, complemented
138#16839909C2211yescharacteristic, complemented
139#16839908C2211yescharacteristic, complemented
140#16839908C2211yescharacteristic, complemented
141#16839907C2211yescharacteristic, complemented
142#16839907C2211yescharacteristic, complemented
143#16839875C2211yescharacteristic, complemented
144#16839872C2211yescharacteristic, complemented
145#16839860C2211yescharacteristic, complemented
146SD16×Dic61C2211yescharacteristic, complemented
147#16839847C2211yescharacteristic, complemented
148#16839844C2211yescharacteristic, complemented
149#16839842C2211yescharacteristic, complemented
150#16839838C2211yescharacteristic, complemented
151#16839837C2211yescharacteristic, complemented
152#16839835C2211yescharacteristic, complemented
153#16839834C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155C8×C22⋊D61C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic
158#16839803C2211yescharacteristic
159#16839801C2211yescharacteristic
160#16839784C2211yescharacteristic
161#16839769C2211yescharacteristic
162#16839769C2211yescharacteristic
163#16839769C2211yescharacteristic
164#16839769C2211yescharacteristic
165#16839769C2211yescharacteristic
166#16839769C2211yescharacteristic
167#16839765C2211yescharacteristic
168#16839765C2211yescharacteristic
169#16839765C2211yescharacteristic
170#16839764C2211yescharacteristic, complemented
171#16839763C2211yescharacteristic, complemented
172#16839762C2211yescharacteristic
173#16839762C2211yescharacteristic, complemented
174#16839762C2211yescharacteristic, complemented
175#16839761C2211yescharacteristic, complemented
176#16839760C2211yescharacteristic, complemented
177#16839760C2211yescharacteristic, complemented
178#16839759C2211yescharacteristic, complemented
179#16839758C2211yescharacteristic, complemented
180#16839757C2211yescharacteristic, complemented
181#16839757C2211yescharacteristic, complemented
182#16839756C2211yescharacteristic, complemented
183#16839755C2211yescharacteristic, complemented
184#16839755C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic
186#16839724C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#552C2211yescharacteristic, complemented
189C61×#547C2211yescharacteristic
190C61×#491C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#484C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#467C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224C2311yescharacteristic
214C2×#11758224C2311yescharacteristic
215#41×D61—24no—
216#41×D61—24no—
217#41×D61—42no—
218#41×D61—42no—
219C2×Q8×D61C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61D411yescharacteristic
224C2×D4×D61C2311yescharacteristic
225C22×C4×D61—21no—
226C22×C4×D61—21no—
227C22×C4×D61—21no—
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230#14519809—42no—
231#14519809—42no—
232#14519804—24no—
233C2×#11758202C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758190C2311yescharacteristic
236C2×#11758190C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×#11758201C2311yescharacteristic
239C2×#11758201C2311yescharacteristic
240C2×D488C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758194C2311yescharacteristic
243C2×#11758189—42no—
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249C2×#11758189C2311yescharacteristic
250M16×D61—42no—
251C22×#92418C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519777C2311yescharacteristic
255#14519776—21no—
256#14519776—21no—
257#14519776C2311yescharacteristic
258#14519776C2311yescharacteristic
259#14519775C2311yescharacteristic
260#14519775C2311yescharacteristic
261#14519772—21no—
262#14519772—21no—
263#14519772—21no—
264#14519771—21no—
265#14519770—21no—
266#14519769C2311yescharacteristic
267#14519767—21no—
268#14519767—21no—
269#14519765—21no—
270#14519763—21no—
271#14519763—21no—
272#14519762—21no—
273#14519762—21no—
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762—21no—
281#14519761—21no—
282#14519761—21no—
283#14519760—21no—
284#14519760—21no—
285#14519760—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519758—21no—
292#14519758—21no—
293#14519757—21no—
294#14519757C2311yescharacteristic
295#14519757C2311yescharacteristic
296#14519756C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519753C2311yescharacteristic
307#14519753C2311yescharacteristic
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519752—21no—
311#14519752—21no—
312#14519752C2311yescharacteristic
313#14519752C2311yescharacteristic
314#14519751—21no—
315#14519751C2311yescharacteristic
316#14519751C2311yescharacteristic
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519749—21no—
321#14519749—21no—
322#14519749—21no—
323#14519748—21no—
324#14519747—21no—
325#14519747—21no—
326Q8×Dic61C2311yescharacteristic
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330C4×D244—21no—
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334D4×Dic61D411yescharacteristic
335D4×Dic61C2311yescharacteristic
336#14519739—21no—
337#14519739—21no—
338#14519739—21no—
339#14519739—21no—
340#14519739D411yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343C4×C22⋊D61—21no—
344C4×C22⋊D61C2311yescharacteristic
345C4×C22⋊D61C2311yescharacteristic
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737D411yescharacteristic
352#14519737D411yescharacteristic
353#14519736C2311yescharacteristic
354#14519735—21no—
355#14519735—21no—
356#14519735—21no—
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519734—21no—
363#14519734—21no—
364#14519734—21no—
365#14519733—21no—
366C2×C4⋊Dic61—21no—
367C2×C4⋊Dic61C2311yescharacteristic
368C2×#11758196—21no—
369C2×#11758196—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61—21no—
377C4⋊C4×D61—21no—
378C4⋊C4×D61D411yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C2×#11758198—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61D411yescharacteristic
388C22⋊C4×D61D411yescharacteristic
389C2×C4×Dic61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442C8×Dic61C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#126×C61—21no—
453#125×C61—21no—
454#125×C61C2311yescharacteristic
455#123×C61—21no—
456#123×C61—21no—
457#123×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466#117×C61—21no—
467#117×C61C2311yescharacteristic
468C2×C4⋊C4×C61—21no—
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61C2×D411yescharacteristic
489C23×D61C2×D411yescharacteristic
490#41×C61—22no—
491#41×C61—22no—
492#41×C61—41no—
493#41×C61—41no—
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61C2×D411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61C2411yescharacteristic
506C22×C4×C61C2411yescharacteristic
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61C2×D411yescharacteristic
515C2×C22⋊D61C2×D411yescharacteristic
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61C2×D411yescharacteristic
521C22×Dic61C2×D411yescharacteristic
522#11758226—22no—
523#11758226—22no—
524#11758226—22no—
525#11758226—22no—
526#11758226—41no—
527#11758226—41no—
528Q8×D61—22no—
529Q8×D61—22no—
530Q8×D61—22no—
531Q8×D61—22no—
532#11758224—22no—
533#11758224—22no—
534#11758224—41no—
535#11758224—41no—
536#11758224—44no—
537#11758224—44no—
538D4×D61—22no—
539D4×D61—42no—
540D4×D61—44no—
541D4×D61—44no—
542D4×D61#4114yescomplemented
543#11758222—22no—
544#11758222—22no—
545#11758222—41no—
546#11758222—41no—
547#11758222—44no—
548#11758222—44no—
549#11758222—44no—
550C2×D244—21no—
551C2×D244—21no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244—21no—
555C2×D244C2×D411yescharacteristic
556C2×D244C2411yescharacteristic
557C2×D244C2411yescharacteristic
558C2×C4×D61—22no—
559C2×C4×D61—22no—
560C2×C4×D61—22no—
561C2×C4×D61—22no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—21no—
568C2×C4×D61—21no—
569C2×C4×D61—21no—
570C2×C4×D61—21no—
571C2×C4×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—44no—
577C2×C4×D61—44no—
578C2×C4×D61—44no—
579C2×C4×D61C2×D411yescharacteristic
580C2×C4×D61C2×D411yescharacteristic
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2×D411yescharacteristic
583C2×C4×D61C2×D411yescharacteristic
584C2×C4×D61C2×D411yescharacteristic
585C2×C4×D61C2411yescharacteristic
586C2×C4×D61C2411yescharacteristic
587C2×C4×D61C2411yescharacteristic
588C2×Dic122—21no—
589C2×Dic122—21no—
590C2×Dic122—21no—
591C2×Dic122—21no—
592C2×Dic122C2411yescharacteristic
593C2×Dic122C2411yescharacteristic
594Q16×C61—41no—
595Q16×C61—41no—
596SD16×C61—22no—
597M16×C61—41no—
598C2×C8×C61—41no—
599C2×C8×C61C2411yescharacteristic
600C2×C8×C61C2411yescharacteristic
601C2×C8×C61C2411yescharacteristic
602C2×C8×C61C2411yescharacteristic
603C4⋊C4×C61—21no—
604C4⋊C4×C61—21no—
605C4⋊C4×C61—21no—
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61—21no—
613C4⋊C4×C61C2×D411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61C2×D411yescharacteristic
625C22⋊C4×C61C2×D411yescharacteristic
626C42×C61—21no—
627C42×C61—21no—
628C42×C61C2411yescharacteristic
629C22⋊Dic61—21no—
630C22⋊Dic61—21no—
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61C2×D411yescharacteristic
634C22⋊Dic61C2×D411yescharacteristic
635#11758202—41no—
636#11758202—41no—
637#11758201—22no—
638#11758201—41no—
639#11758201—41no—
640#11758199—22no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198C2×D411yescharacteristic
661#11758198C2×D411yescharacteristic
662#11758198C2×D411yescharacteristic
663#11758198C2×D411yescharacteristic
664C4⋊Dic61—21no—
665C4⋊Dic61—21no—
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61—21no—
670C4⋊Dic61C2×D411yescharacteristic
671C4⋊Dic61C2411yescharacteristic
672C4⋊Dic61C2411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196C2×D411yescharacteristic
693#11758196C2×D411yescharacteristic
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704#11758194—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710D488—22no—
711#11758190—41no—
712#11758190—41no—
713#11758189—22no—
714#11758189—22no—
715#11758189—22no—
716#11758189—22no—
717#11758189—41no—
718#11758189—41no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61C22×D411yescharacteristic
723C23×C61C22×D411yescharacteristic
724C22×D61—21no—
725C22×D61—24no—
726C22×D61—22no—
727C22×D61—22no—
728C22×D61—21no—
729C22×D61—41no—
730C22×D61—41no—
731C22×D61—41no—
732C22×D61—41no—
733C22×D61—42no—
734C22×D61—42no—
735C22×D61C22×D411yescharacteristic
736C22×D61C22×D411yescharacteristic
737C22×D61C22×D411yescharacteristic
738Q8×C61—21no—
739Q8×C61—21no—
740Q8×C61—21no—
741Q8×C61—21no—
742Q8×C61—21no—
743Q8×C61—21no—
744D4×C61—21no—
745D4×C61—41no—
746D4×C61—42no—
747D4×C61—42no—
748D4×C61C2×#4112yes—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—42no—
761C2×C4×C61—42no—
762C2×C4×C61—42no—
763C2×C4×C61—42no—
764C2×C4×C61C22×D411yescharacteristic
765C2×C4×C61C22×D411yescharacteristic
766C2×C4×C61C22×D411yescharacteristic
767C2×C4×C61C22×D411yescharacteristic
768C2×C4×C61C2511yescharacteristic
769C22⋊D61—24no—
770C22⋊D61—22no—
771C22⋊D61—22no—
772C22⋊D61—42no—
773C22⋊D61—42no—
774C22⋊D61—42no—
775C22⋊D61—42no—
776C22⋊D61—42no—
777C22⋊D61—81no—
778C2×Dic61—22no—
779C2×Dic61—22no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—42no—
787C2×Dic61—42no—
788C2×Dic61—42no—
789C2×Dic61—81no—
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793C2×Dic61C22×D411yescharacteristic
794C2×Dic61C22×D411yescharacteristic
795D244—21no—
796D244—21no—
797D244—21no—
798D244—41no—
799D244—42no—
800D244—42no—
801D244—42no—
802D244—42no—
803D244—81no—
804D244C2×#4112yes—
805C4×D61—22no—
806C4×D61—22no—
807C4×D61—21no—
808C4×D61—21no—
809C4×D61—21no—
810C4×D61—21no—
811C4×D61—22no—
812C4×D61—22no—
813C4×D61—22no—
814C4×D61—41no—
815C4×D61—42no—
816C4×D61—42no—
817C4×D61—42no—
818C4×D61—42no—
819C4×D61—42no—
820C4×D61—42no—
821C4×D61—42no—
822C4×D61—42no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61—42no—
826C4×D61—42no—
827C4×D61—81no—
828C4×D61—81no—
829C4×D61C2×#4112yes—
830C4×D61H(5,𝔽2)12yes—
831Dic122—21no—
832Dic122—21no—
833Dic122—21no—
834Dic122—21no—
835Dic122—42no—
836Dic122—42no—
837Dic122—42no—
838Dic122—81no—
839C8×C61—21no—
840C8×C61—21no—
841C8×C61—21no—
842C8×C61—21no—
843#92418—21no—
844#92418—21no—
845#92418—21no—
846#92418—21no—
847#61159—611nomaximal, Sylow
848C22×C61—21no—
849C22×C61—21no—
850C22×C61—21no—
851C22×C61—21no—
852C22×C61—22no—
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—41no—
856C22×C61—41no—
857C22×C61C23×D411yescharacteristic
858C2×D61—21no—
859C2×D61—21no—
860C2×D61—21no—
861C2×D61—21no—
862C2×D61—21no—
863C2×D61—21no—
864C2×D61—22no—
865C2×D61—21no—
866C2×D61—21no—
867C2×D61—48no—
868C2×D61—41no—
869C2×D61—41no—
870C2×D61—41no—
871C2×D61—41no—
872C2×D61—41no—
873C2×D61—82no—
874C2×D61—82no—
875C2×D61#54612yes—
876C4×C61—21no—
877C4×C61—21no—
878C4×C61—21no—
879C4×C61—21no—
880C4×C61—41no—
881C4×C61—41no—
882C4×C61—41no—
883C4×C61—41no—
884C4×C61—41no—
885C4×C61—41no—
886C4×C61—41no—
887C4×C61C22×#4111yescharacteristic
888C4×C61C2×H(5,𝔽2)11yescharacteristic
889Dic61—21no—
890Dic61—21no—
891Dic61—21no—
892Dic61—41no—
893Dic61—41no—
894Dic61—41no—
895Dic61—41no—
896Dic61—41no—
897Dic61—41no—
898Dic61#54612yes—
899Dic61#57512yes—
900#3475—611no—
901C2×#547—611no—
902#3331—611no—
903#3331—611no—
904#3330—611no—
905#3330—611no—
906#3315—611no—
907#3315—611no—
908#3315—611no—
909#3315D6111yescharacteristic, complemented
910#3307—611no—
911#3307—611no—
912#3307—611no—
913#3307—611no—
914#3303—611no—
915#3303—611no—
916#3302—611no—
917#3302—611no—
918#3139—611no—
919#3095—611no—
920#3095—611no—
921#3077—611no—
922#3056—611no—
923#3056—611no—
924#3039—611no—
925#3005—611no—
926#3005—611no—
927C4×AGL(1,ℤ/8)—611no—
928D4×M16—611no—
929#2896—611no—
930#2896—611no—
931C2×C61—42no—
932C2×C61—41no—
933C2×C61—41no—
934C2×C61C2×#54611yescharacteristic
935C2×C61C2×#57511yescharacteristic
936C2×C61#358611yescharacteristic
937D61—22no—
938D61—41no—
939D61—41no—
940D61—42no—
941D61—81no—
942C22×#41—611no—
943C22×#41—611no—
944C2×#137—611no—
945C2×#137—611no—
946C2×AGL(1,ℤ/8)—611no—
947C22×M16—611no—
948C22×M16—611no—
949#556—611no—
950#555—611no—
951#554—611no—
952#553—611no—
953#553—611no—
954#552—611no—
955#552—1221no—
956#552C2×D6111yescharacteristic, complemented
957#551—1221no—
958#551—1221no—
959#547—611no—
960#547—611no—
961#547—611no—
962#547—611no—
963#547—611no—
964#547—611no—
965#547—611no—
966#547—611no—
967#547—1221no—
968#547—1221no—
969#547—1221no—
970#547—1221no—
971#547C2×D6111yescharacteristic
972#546—1221no—
973#533—611no—
974C2×C4⋊Q8—611no—
975#529—1221no—
976#529—1221no—
977#529—1221no—
978#525—611no—
979#525—611no—
980C2×#123—1221no—
981C2×#123—1221no—
982C2×C22⋊Q8—611no—
983C2×C22⋊Q8—611no—
984C2×#121—1221no—
985C4×#41—611no—
986C4×#41—1221no—
987C2×C4×D4—611no—
988C2×C4×D4—611no—
989C2×#117—611no—
990C2×#117—611no—
991C22×C4⋊C4—1221no—
992#491—611no—
993#491—611no—
994#491—611no—
995#491C2×D6111yescharacteristic, complemented
996#487—611no—
997#487—611no—
998#487—611no—
999#487—611no—
1000#485—611no—
1001#485—611no—
1002#485—611no—
1003#485—611no—
1004#485—611no—
1005#485—611no—
1006#485—611no—
1007#485C2×D6111yescharacteristic, complemented
1008#484—611no—
1009#484—611no—
1010#484—611no—
1011#484C2×D6111yescharacteristic, complemented
1012#483—611no—
1013#483—611no—
1014#483—611no—
1015#483—611no—
1016#478—611no—
1017#478—611no—
1018#478—611no—
1019#478C2×D6111yescharacteristic, complemented
1020#476—611no—
1021#476—611no—
1022#474—611no—
1023#474—611no—
1024#470—611no—
1025#470—611no—
1026#470—611no—
1027#470C2×D6111yescharacteristic, complemented
1028#468—611no—
1029#468—611no—
1030#468—611no—
1031#468—611no—
1032#467—611no—
1033#467—611no—
1034#467—611no—
1035#467C2×D6111yescharacteristic, complemented
1036#465—611no—
1037#465—611no—
1038#465—611no—
1039#465—611no—
1040#462—611no—
1041#462—611no—
1042#462—611no—
1043#462C2×D6111yescharacteristic, complemented
1044#461—611no—
1045#461—611no—
1046#461—611no—
1047#461—611no—
1048#452—611no—
1049#452—611no—
1050#452—611no—
1051#452—611no—
1052#452—611no—
1053#452—611no—
1054#452C2×D6111yescharacteristic, complemented
1055#452C2×D6111yescharacteristic, complemented
1056#449—611no—
1057#449—611no—
1058#449—611no—
1059#449—611no—
1060#449—611no—
1061#449—611no—
1062#449—611no—
1063#449—611no—
1064#442—611no—
1065#442—611no—
1066#440—611no—
1067#440C2×D6111yescharacteristic, complemented
1068C4×SD16—611no—
1069C4×SD16—611no—
1070C4×D8—611no—
1071C4×D8—611no—
1072#436—611no—
1073#436—611no—
1074#435—611no—
1075#435—611no—
1076#435—611no—
1077#435C2×D6111yescharacteristic, complemented
1078C8×D4—611no—
1079C8×D4—611no—
1080#428—611no—
1081#428—611no—
1082#428—611no—
1083#423—611no—
1084#419—611no—
1085#419—611no—
1086#419—611no—
1087#419—611no—
1088#419—611no—
1089#419—611no—
1090#418—611no—
1091#418—611no—
1092#418—611no—
1093#417—611no—
1094#417—611no—
1095#417—611no—
1096#417—611no—
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#417C2×D6111yescharacteristic, complemented
1102#416—611no—
1103#416—611no—
1104#416—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416C2×D6111yescharacteristic, complemented
1110#407—611no—
1111#407—611no—
1112C4×M16—611no—
1113C61#6115911yescharacteristic, complemented, Sylow
1114C2×#41—611no—
1115C2×#41—611no—
1116C2×#41—611no—
1117C2×#41—611no—
1118C2×#41—611no—
1119C2×#41—611no—
1120C2×#41—611no—
1121C2×#41—1221no—
1122C2×#41—1221no—
1123C2×#41—1221no—
1124C2×#41—1221no—
1125C2×#41—1221no—
1126C2×#41—1224no—
1127C2×#41—1224no—
1128C2×#41—2442no—
1129C2×#41—2442no—
1130C2×#41C22×D6111yescharacteristic
1131C2×#41C22×D6111yescharacteristic
1132C22×Q8—611no—
1133C22×Q8—611no—
1134C22×D4—611no—
1135C22×D4—611no—
1136C22×D4—1221no—
1137C22×D4—1221no—
1138C23×C4—611no—
1139C23×C4—611no—
1140C23×C4—1221no—
1141C23×C4—1221no—
1142C23×C4—1221no—
1143#137—2442no—
1144#137—2442no—
1145AGL(1,ℤ/8)—1224no—
1146C2×Q16—611no—
1147C2×Q16—611no—
1148C2×Q16C22×D6111yescharacteristic
1149C2×Q16C22×D6111yescharacteristic
1150C2×SD16—611no—
1151C2×SD16—611no—
1152C2×SD16—611no—
1153C2×SD16—611no—
1154C2×SD16—611no—
1155C2×SD16C22×D6111yescharacteristic
1156C2×D8—611no—
1157C2×D8—611no—
1158C2×M16—611no—
1159C2×M16—611no—
1160C2×M16—611no—
1161C2×M16—611no—
1162C2×M16—611no—
1163C2×M16—611no—
1164C2×M16—611no—
1165C2×M16—2442no—
1166C2×M16—2442no—
1167C2×M16C22×D6111yescharacteristic
1168C22×C8—611no—
1169C22×C8—611no—
1170C22×C8—611no—
1171C22×C8C22×D6111yescharacteristic
1172C4⋊Q8—611no—
1173C4⋊Q8—611no—
1174C4⋊Q8—611no—
1175C4⋊Q8—611no—
1176C4⋊Q8—611no—
1177C4⋊Q8—1221no—
1178C4⋊Q8—1221no—
1179C4⋊Q8C22×D6111yescharacteristic
1180#126—21no—
1181#126—1221no—
1182#126—1221no—
1183#126—1221no—
1184#126—1221no—
1185#126—1221no—
1186#125—21no—
1187#125—611no—
1188#125—1221no—
1189#125—1221no—
1190#125C22×D6111yescharacteristic
1191#124—1221no—
1192#124—1221no—
1193#124—1221no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210#123—1221no—
1211#123—1221no—
1212#123—1221no—
1213#123—1221no—
1214#123—1221no—
1215#123—1221no—
1216#123—1221no—
1217#123—1221no—
1218C22⋊Q8—611no—
1219C22⋊Q8—611no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—611no—
1224C22⋊Q8—611no—
1225C22⋊Q8—611no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8—1221no—
1234C22⋊Q8—1221no—
1235C22⋊Q8C22×D6111yescharacteristic
1236C22⋊Q8C22×D6111yescharacteristic
1237C22⋊Q8C22×D6111yescharacteristic
1238C22⋊Q8C22×D6111yescharacteristic
1239#121—21no—
1240#121—611no—
1241#121—611no—
1242#121—611no—
1243#121—611no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#120—1221no—
1255#120—1221no—
1256C4×Q8—611no—
1257C4×Q8—1221no—
1258C4×Q8—1221no—
1259C4×Q8—1221no—
1260C4×Q8C22×D6111yescharacteristic
1261C4×D4—611no—
1262C4×D4—611no—
1263C4×D4—611no—
1264C4×D4—611no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4C22×D6111yescharacteristic
1285C4×D4C22×D6111yescharacteristic
1286#117—21no—
1287#117—611no—
1288#117—611no—
1289#117—611no—
1290#117—611no—
1291#117—611no—
1292#117—611no—
1293#117—1221no—
1294#117—1221no—
1295#117—1221no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117C22×D6111yescharacteristic
1301C2×C4⋊C4—21no—
1302C2×C4⋊C4—611no—
1303C2×C4⋊C4—611no—
1304C2×C4⋊C4—611no—
1305C2×C4⋊C4—611no—
1306C2×C4⋊C4—611no—
1307C2×C4⋊C4—1221no—
1308C2×C4⋊C4—1221no—
1309C2×C4⋊C4—1221no—
1310C2×C4⋊C4—1221no—
1311C2×C4⋊C4—1221no—
1312C2×C4⋊C4—1221no—
1313C2×C4⋊C4—1221no—
1314C2×C4⋊C4—1221no—
1315C2×C4⋊C4—1221no—
1316C2×C4⋊C4—1221no—
1317C2×C4⋊C4—1221no—
1318C2×C4⋊C4C22×D6111yescharacteristic
1319C2×C22⋊C4—611no—
1320C2×C22⋊C4—611no—
1321C2×C22⋊C4—1221no—
1322C2×C22⋊C4—1221no—
1323C2×C22⋊C4—1221no—
1324C2×C22⋊C4—1221no—
1325C2×C22⋊C4—1221no—
1326C2×C42—611no—
1327C2×C42—1221no—
1328C2×C42—1221no—
1329C2×C42—1221no—
1330#107—611no—
1331#107—611no—
1332#107—611no—
1333#107—611no—
1334#107C22×D6111yescharacteristic
1335#107C22×D6111yescharacteristic
1336#106—611no—
1337#106—611no—
1338#106—611no—
1339#106—611no—
1340#106—611no—
1341#106C22×D6111yescharacteristic
1342C4⋊C8—611no—
1343C4⋊C8—611no—
1344C4⋊C8—611no—
1345C4⋊C8C22×D6111yescharacteristic
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103C22×D6111yescharacteristic
1366#103C22×D6111yescharacteristic
1367#103C22×D6111yescharacteristic
1368#103C22×D6111yescharacteristic
1369#103C22×D6111yescharacteristic
1370#103C22×D6111yescharacteristic
1371#103C22×D6111yescharacteristic
1372#102—611no—
1373#102—611no—
1374#102—611no—
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102C22×D6111yescharacteristic
1384#102C22×D6111yescharacteristic
1385#102C22×D6111yescharacteristic
1386C22⋊C8—611no—
1387C22⋊C8—611no—
1388C22⋊C8—611no—
1389C22⋊C8—611no—
1390C22⋊C8—611no—
1391C22⋊C8—611no—
1392C22⋊C8C22×D6111yescharacteristic
1393C22⋊C8C22×D6111yescharacteristic
1394#97—611no—
1395#97C22×D6111yescharacteristic
1396C4×C8—611no—
1397C4×C8—611no—
1398C24—611no—
1399C24—611no—
1400C24—1221no—
1401#41—22no—
1402#41—22no—
1403#41—41no—
1404#41—41no—
1405#41—1222no—
1406#41—1222no—
1407#41—1222no—
1408#41—1222no—
1409#41—1222no—
1410#41—1222no—
1411#41—1222no—
1412#41—1222no—
1413#41—2441no—
1414#41—2441no—
1415#41—2444no—
1416#41—2444no—
1417#41—2444no—
1418#41—2441no—
1419#41—2441no—
1420#41—2444no—
1421#41—2444no—
1422#41—2441no—
1423#41—2441no—
1424C2×Q8—611no—
1425C2×Q8—611no—
1426C2×Q8—1221no—
1427C2×Q8—1221no—
1428C2×Q8—1221no—
1429C2×Q8—1221no—
1430C2×Q8—1222no—
1431C2×Q8—1222no—
1432C2×Q8—1222no—
1433C2×Q8—1222no—
1434C2×Q8C23×D6111yescharacteristic
1435C2×Q8C23×D6111yescharacteristic
1436C2×Q8C23×D6111yescharacteristic
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—614no—
1440C2×D4—611no—
1441C2×D4—611no—
1442C2×D4—611no—
1443C2×D4—611no—
1444C2×D4—611no—
1445C2×D4—1221no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—1221no—
1449C2×D4—1221no—
1450C2×D4—1222no—
1451C2×D4—1221no—
1452C2×D4—1221no—
1453C2×D4—1221no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—1221no—
1458C2×D4—2442no—
1459C2×D4—2444no—
1460C2×D4—2444no—
1461C2×D4D4×D6111yescharacteristic
1462C2×D4C23×D6111yescharacteristic
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—611no—
1468C22×C4—611no—
1469C22×C4—611no—
1470C22×C4—611no—
1471C22×C4—611no—
1472C22×C4—611no—
1473C22×C4—611no—
1474C22×C4—611no—
1475C22×C4—611no—
1476C22×C4—611no—
1477C22×C4—611no—
1478C22×C4—1222no—
1479C22×C4—1222no—
1480C22×C4—1222no—
1481C22×C4—1222no—
1482C22×C4—1221no—
1483C22×C4—1221no—
1484C22×C4—1221no—
1485C22×C4—1221no—
1486C22×C4—1221no—
1487C22×C4—1221no—
1488C22×C4—1221no—
1489C22×C4—1221no—
1490C22×C4—1221no—
1491C22×C4—1221no—
1492C22×C4—1221no—
1493C22×C4—1221no—
1494C22×C4—1221no—
1495C22×C4—1221no—
1496C22×C4—1221no—
1497C22×C4—1221no—
1498C22×C4—1221no—
1499C22×C4—1221no—
1500C22×C4—2444no—
1501C22×C4—2444no—
1502C22×C4—2444no—
1503C22×C4C23×D6111yescharacteristic
1504C22×C4C23×D6111yescharacteristic
1505Q16—41no—
1506Q16—41no—
1507Q16—2441no—
1508Q16—2441no—
1509SD16—22no—
1510SD16—1222no—
1511SD16—2441no—
1512SD16—2441no—
1513SD16—2441no—
1514SD16—2441no—
1515D8—1222no—
1516D8—1222no—
1517M16—41no—
1518M16—1222no—
1519M16—1222no—
1520M16—1222no—
1521M16—1222no—
1522M16—2441no—
1523M16—2441no—
1524M16—2441no—
1525C2×C8—41no—
1526C2×C8—611no—
1527C2×C8—611no—
1528C2×C8—611no—
1529C2×C8—611no—
1530C2×C8—2441no—
1531C2×C8—2441no—
1532C2×C8—2441no—
1533C2×C8C23×D6111yescharacteristic
1534C2×C8C23×D6111yescharacteristic
1535C2×C8C23×D6111yescharacteristic
1536C2×C8C23×D6111yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—21no—
1545C4⋊C4—21no—
1546C4⋊C4—21no—
1547C4⋊C4—611no—
1548C4⋊C4—611no—
1549C4⋊C4—611no—
1550C4⋊C4—611no—
1551C4⋊C4—611no—
1552C4⋊C4—611no—
1553C4⋊C4—611no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4—1221no—
1559C4⋊C4—1221no—
1560C4⋊C4—1221no—
1561C4⋊C4—1221no—
1562C4⋊C4—1221no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4D4×D6111yescharacteristic
1578C4⋊C4C23×D6111yescharacteristic
1579C4⋊C4C23×D6111yescharacteristic
1580C4⋊C4C23×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—611no—
1589C22⋊C4—611no—
1590C22⋊C4—611no—
1591C22⋊C4—611no—
1592C22⋊C4—611no—
1593C22⋊C4—611no—
1594C22⋊C4—1221no—
1595C22⋊C4—1221no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4—1221no—
1617C22⋊C4D4×D6111yescharacteristic
1618C22⋊C4D4×D6111yescharacteristic
1619C42—21no—
1620C42—21no—
1621C42—611no—
1622C42—611no—
1623C42—611no—
1624C42—1221no—
1625C42—1221no—
1626C42—1221no—
1627C42—1221no—
1628C42—1221no—
1629C42—1221no—
1630C42—1221no—
1631C42C23×D6111yescharacteristic
1632C23—21no—
1633C23—611no—
1634C23—611no—
1635C23—611no—
1636C23—1222no—
1637C23—1222no—
1638C23—1224no—
1639C23—1221no—
1640C23—1221no—
1641C23—2441no—
1642C23—2441no—
1643C23—2441no—
1644C23—2441no—
1645C23—2442no—
1646C23—2442no—
1647C23C2×D4×D6111yescharacteristic
1648C23C2×D4×D6111yescharacteristic
1649Q8—21no—
1650Q8—21no—
1651Q8—21no—
1652Q8—21no—
1653Q8—21no—
1654Q8—21no—
1655Q8—1221no—
1656Q8—1221no—
1657Q8—1221no—
1658Q8—1221no—
1659Q8—4881no—
1660Q8—2442no—
1661Q8—2442no—
1662Q8—2442no—
1663D4—21no—
1664D4—41no—
1665D4—42no—
1666D4—42no—
1667D4—612no—
1668D4—1224no—
1669D4—1222no—
1670D4—1222no—
1671D4—1221no—
1672D4—1221no—
1673D4—1221no—
1674D4—4881no—
1675D4—4881no—
1676D4—2441no—
1677D4—2442no—
1678D4—2442no—
1679D4—2442no—
1680D4—2442no—
1681D4—2442no—
1682D4—2442no—
1683D4—2442no—
1684D4—2442no—
1685D4—2442no—
1686D4#41×D6112yes—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—42no—
1699C2×C4—42no—
1700C2×C4—42no—
1701C2×C4—42no—
1702C2×C4—611no—
1703C2×C4—611no—
1704C2×C4—612no—
1705C2×C4—612no—
1706C2×C4—611no—
1707C2×C4—611no—
1708C2×C4—611no—
1709C2×C4—1222no—
1710C2×C4—1222no—
1711C2×C4—1222no—
1712C2×C4—1222no—
1713C2×C4—1222no—
1714C2×C4—1222no—
1715C2×C4—1222no—
1716C2×C4—1221no—
1717C2×C4—1221no—
1718C2×C4—1221no—
1719C2×C4—1221no—
1720C2×C4—1221no—
1721C2×C4—1221no—
1722C2×C4—1221no—
1723C2×C4—1221no—
1724C2×C4—1221no—
1725C2×C4—1221no—
1726C2×C4—4881no—
1727C2×C4—4881no—
1728C2×C4—4881no—
1729C2×C4—2441no—
1730C2×C4—2442no—
1731C2×C4—2442no—
1732C2×C4—2442no—
1733C2×C4—2442no—
1734C2×C4—2442no—
1735C2×C4—2442no—
1736C2×C4—2442no—
1737C2×C4—2442no—
1738C2×C4—2442no—
1739C2×C4—2442no—
1740C2×C4—2442no—
1741C2×C4—2442no—
1742C2×C4—2442no—
1743C2×C4—2442no—
1744C2×C4—2442no—
1745C2×C4C2×D4×D6111yescharacteristic
1746C2×C4C2×D4×D6111yescharacteristic
1747C2×C4C2×D4×D6111yescharacteristic
1748C2×C4C2×D4×D6111yescharacteristic
1749C2×C4C24×D6111yescharacteristic
1750C8—21no—
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—1221no—
1755C8—1221no—
1756C8—1221no—
1757C8—1221no—
1758C22—21no—
1759C22—21no—
1760C22—22no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—612no—
1768C22—1221no—
1769C22—1221no—
1770C22—1221no—
1771C22—1221no—
1772C22—1222no—
1773C22—1221no—
1774C22—1221no—
1775C22—1221no—
1776C22—1221no—
1777C22—4882no—
1778C22—4882no—
1779C22—2448no—
1780C22—2441no—
1781C22—2441no—
1782C22—2441no—
1783C22—2441no—
1784C22—2441no—
1785C22C22×D4×D6111yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—612no—
1798C4—612no—
1799C4—1221no—
1800C4—1221no—
1801C4—1221no—
1802C4—2441no—
1803C4—2441no—
1804C4—2441no—
1805C4—2441no—
1806C4—2441no—
1807C4—2441no—
1808C4C2×#41×D6111yescharacteristic
1809C4H(5,𝔽2)×D6111yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—42no—
1813C2—1222no—
1814C2—4881no—
1815C2—2441no—
1816C2—2441no—
1817C2—2442no—
1818C2#546×D6111yescharacteristic
1819C2#575×D6111yescharacteristic
1820C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3315C2
socleC22×C61C23×D4
hypercenter#3315D61
hypocenterC61#61159
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #21459372C2semidirect
2. #547×D61C2semidirect
3. #21458130C2semidirect
4. #21458128C2semidirect
5. #21458122C2semidirect
6. #21458120C2semidirect
7. #21457922C2semidirect
8. #21457920C2semidirect
9. #21457909C2semidirect
10. #21457797C2semidirect
11. #21457795C2semidirect
12. #21457794C2semidirect
13. #21457792C2semidirect
14. #21457745C2semidirect
15. #21457743C2semidirect
16. #21457731C2semidirect
17. #21457729C2semidirect
18. #21456198C2semidirect
19. #21455766C2semidirect
20. #21455764C2semidirect
21. #21455614C2semidirect
22. #21455448C2semidirect
23. #21455446C2semidirect
24. #21455303C2semidirect
25. #21455062C2semidirect
26. #21455062C2semidirect
27. #21454624C2semidirect
28. #21454552C2semidirect
29. #21454335C2semidirect
30. #21454334C2semidirect
31. C61×#3315C2semidirect
39. #16840483C22semidirect
40. #16840475C22semidirect
41. #16840470C22semidirect
42. #16840465C22semidirect
43. #16840458C22semidirect
44. #16840453C22semidirect
54. #16840413C22semidirect
80. #16840132C22semidirect
81. #16840131C22semidirect
82. #16840130C22semidirect
83. #16840111C22semidirect
84. #16840111C22semidirect
85. #16840111C22semidirect
86. #16840111C22semidirect
87. #16840105C22semidirect
88. #16840105C22semidirect
89. #16840104C22semidirect
90. #16840103C22semidirect
91. #16840101C22semidirect
92. #16840101C22semidirect
93. #16840100C22semidirect
94. #16840099C22semidirect
95. #16840097C22semidirect
96. #16840096C22semidirect
97. #16840094C22semidirect
98. #16840093C22semidirect
99. #16840091C22semidirect
100. #16840090C22semidirect
101. #16840063C22semidirect
102. #16840062C22semidirect
103. #16840059C22semidirect
104. #16840051C22semidirect
105. #16840050C22semidirect
106. #16840041C22semidirect
107. #16840040C22semidirect
108. #16840019C22semidirect
109. #16840018C22semidirect
110. #16840017C22semidirect
111. #16840011C22semidirect
112. #16840010C22semidirect
113. #16840009C22semidirect
114. #16840008C22semidirect
115. #16840002C22semidirect
116. #16840001C22semidirect
117. #16840000C22semidirect
118. #16839994C22semidirect
119. #16839993C22semidirect
120. #16839992C22semidirect
121. #16839991C22semidirect
122. #16839972C22semidirect
123. #16839970C22semidirect
124. #16839970C22semidirect
125. #16839968C22semidirect
126. #16839966C22semidirect
127. #16839966C22semidirect
128. #16839964C22semidirect
129. #16839923C22semidirect
130. #16839923C22semidirect
131. #16839922C22semidirect
132. #16839922C22semidirect
133. #16839921C22semidirect
134. #16839921C22semidirect
135. #16839910C22semidirect
136. #16839910C22semidirect
137. #16839909C22semidirect
138. #16839909C22semidirect
139. #16839908C22semidirect
140. #16839908C22semidirect
141. #16839907C22semidirect
142. #16839907C22semidirect
143. #16839875C22semidirect
144. #16839872C22semidirect
145. #16839860C22semidirect
146. SD16×Dic61C22semidirect
147. #16839847C22semidirect
148. #16839844C22semidirect
149. #16839842C22semidirect
150. #16839838C22semidirect
151. #16839837C22semidirect
152. #16839835C22semidirect
153. #16839834C22semidirect
154. #16839832C22semidirect
155. C8×C22⋊D61C22semidirect
156. #16839825C22semidirect
170. #16839764C22semidirect
171. #16839763C22semidirect
173. #16839762C22semidirect
174. #16839762C22semidirect
175. #16839761C22semidirect
176. #16839760C22semidirect
177. #16839760C22semidirect
178. #16839759C22semidirect
179. #16839758C22semidirect
180. #16839757C22semidirect
181. #16839757C22semidirect
182. #16839756C22semidirect
183. #16839755C22semidirect
184. #16839755C22semidirect
188. C61×#552C22semidirect
190. C61×#491C22semidirect
191. C61×#485C22semidirect
192. C61×#484C22semidirect
193. C61×#478C22semidirect
194. C61×#470C22semidirect
195. C61×#467C22semidirect
196. C61×#462C22semidirect
197. C61×#452C22semidirect
198. C61×#452C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C61×#416C22semidirect
542. D4×D61#41semidirect
909. #3315D61semidirect
956. #552C2×D61semidirect
995. #491C2×D61semidirect
1007. #485C2×D61semidirect
1011. #484C2×D61semidirect
1019. #478C2×D61semidirect
1027. #470C2×D61semidirect
1035. #467C2×D61semidirect
1043. #462C2×D61semidirect
1054. #452C2×D61semidirect
1055. #452C2×D61semidirect
1067. #440C2×D61semidirect
1077. #435C2×D61semidirect
1101. #417C2×D61semidirect
1109. #416C2×D61semidirect
1113. C61#61159semidirect

Maximal subgroups

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

subgroupindex
#214593722
#547×D612
#214581302
#214581282
#214581222
#214581202
#214579222
#214579202
#214579092
#214577972
#214577952
#214577942
#214577922
#214577452
#214577432
#214577312
#214577292
#214561982
#214557662
#214557642
#214556142
#214554482
#214554462
#214553032
#214550622
#214546242
#214545522
#214543352
#214543342
C61×#33152
#6115961