Finite Group Databasebeta

← #30556781

Subgroups — #30556781

Order 15616.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459380C211yesmaximal, characteristic, complemented
2#21459303C211yesmaximal, characteristic, complemented
3#21458007C211yesmaximal, characteristic, complemented
4#21457993C211yesmaximal, characteristic, complemented
5#21457975C211yesmaximal, characteristic, complemented
6#21457961C211yesmaximal, characteristic, complemented
7#21457951C211yesmaximal, characteristic, complemented
8#21457937C211yesmaximal, characteristic, complemented
9#21457919C211yesmaximal, characteristic, complemented
10#21457905C211yesmaximal, characteristic, complemented
11#21457879C211yesmaximal, characteristic, complemented
12#21457865C211yesmaximal, characteristic, complemented
13#21457833C211yesmaximal, characteristic, complemented
14#21457823C211yesmaximal, characteristic, complemented
15#21457809C211yesmaximal, characteristic, complemented
16#21457791C211yesmaximal, characteristic, complemented
17#21457777C211yesmaximal, characteristic, complemented
18#21456161C211yesmaximal, characteristic, complemented
19#21455737C211yesmaximal, characteristic, complemented
20#21455731C211yesmaximal, characteristic, complemented
21#21455608C211yesmaximal, characteristic, complemented
22#21455430C211yesmaximal, characteristic, complemented
23#21455395C211yesmaximal, characteristic, complemented
24#21455273C211yesmaximal, characteristic, complemented
25#21455040C211yesmaximal, characteristic, complemented
26#21455038C211yesmaximal, characteristic, complemented
27#21454614C211yesmaximal, characteristic, complemented
28#435×D61C211yesmaximal, characteristic, complemented
29#21454333C211yesmaximal, characteristic, complemented
30#416×D61C211yesmaximal, characteristic, complemented
31C61×#3311C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519800C2211yescharacteristic, complemented
35C2×#14519798C2211yescharacteristic
36C2×#14519798C2211yescharacteristic, complemented
37C2×M16×D61C2211yescharacteristic, complemented
38C22×C8×D61C2211yescharacteristic, complemented
39#16840477C2211yescharacteristic, complemented
40#16840472C2211yescharacteristic, complemented
41#16840456C2211yescharacteristic
42#16840456C2211yescharacteristic, complemented
43#16840453—21no—
44#16840446C2211yescharacteristic
45#16840446C2211yescharacteristic, complemented
46#16840437—21no—
47#16840437—21no—
48#16840430C2211yescharacteristic
49#16840425C2211yescharacteristic
50#16840421C2211yescharacteristic
51#16840420C2211yescharacteristic
52#16840415C2211yescharacteristic, complemented
53#16840411C2211yescharacteristic
54#16840410—21no—
55#16840407C2211yescharacteristic
56#16840405—21no—
57#16840402—21no—
58#16840401—21no—
59D4×C22⋊D61C2211yescharacteristic
60#16840394—21no—
61#16840317C2211yescharacteristic, complemented
62#16840311C2211yescharacteristic
63#16840307—21no—
64#16840295—21no—
65#16840295—21no—
66#16840291—21no—
67#16840275C2211yescharacteristic
68#16840275C2211yescharacteristic, complemented
69#16840275C2211yescharacteristic, complemented
70#16840272C2211yescharacteristic
71#16840270—21no—
72#16840268—21no—
73C4×#11758226—21no—
74C4×#11758226C2211yescharacteristic, complemented
75C4×#11758224C2211yescharacteristic
76C2×#14519737—21no—
77C4×D4×D61C2211yescharacteristic
78#117×D61C2211yescharacteristic, complemented
79#117×D61C2211yescharacteristic, complemented
80#16840129C2211yescharacteristic, complemented
81#16840129C2211yescharacteristic, complemented
82#16840125C2211yescharacteristic, complemented
83#16840125C2211yescharacteristic, complemented
84#16840124C2211yescharacteristic, complemented
85#16840122C2211yescharacteristic, complemented
86#16840121C2211yescharacteristic, complemented
87#16840104C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic, complemented
90#16840099C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840091C2211yescharacteristic, complemented
94#16840087C2211yescharacteristic, complemented
95#16840086C2211yescharacteristic, complemented
96#16840083C2211yescharacteristic, complemented
97#16840082C2211yescharacteristic, complemented
98#16840079C2211yescharacteristic, complemented
99#16840077C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840072C2211yescharacteristic, complemented
102#16840072C2211yescharacteristic, complemented
103#16840064C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic, complemented
105#16840054C2211yescharacteristic, complemented
106#16840048C2211yescharacteristic, complemented
107#16840042C2211yescharacteristic, complemented
108#16840017C2211yescharacteristic, complemented
109#16840016C2211yescharacteristic, complemented
110#16840015C2211yescharacteristic, complemented
111#16840011C2211yescharacteristic, complemented
112#16840011C2211yescharacteristic, complemented
113#16840010C2211yescharacteristic, complemented
114#16840010C2211yescharacteristic, complemented
115#16840002C2211yescharacteristic, complemented
116#16840001C2211yescharacteristic, complemented
117#16839997C2211yescharacteristic, complemented
118#16839996C2211yescharacteristic, complemented
119#16839992C2211yescharacteristic, complemented
120#16839991C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839984C2211yescharacteristic, complemented
123#16839978C2211yescharacteristic, complemented
124#16839974C2211yescharacteristic, complemented
125#16839970C2211yescharacteristic, complemented
126#16839966C2211yescharacteristic, complemented
127#16839960C2211yescharacteristic, complemented
128#16839956C2211yescharacteristic, complemented
129#16839922C2211yescharacteristic, complemented
130#16839921C2211yescharacteristic, complemented
131#16839921C2211yescharacteristic, complemented
132#16839917C2211yescharacteristic, complemented
133#16839916C2211yescharacteristic, complemented
134#16839911C2211yescharacteristic, complemented
135#16839909C2211yescharacteristic, complemented
136#16839908C2211yescharacteristic, complemented
137#16839908C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic, complemented
139#16839903C2211yescharacteristic, complemented
140#16839902C2211yescharacteristic, complemented
141#16839897C2211yescharacteristic, complemented
142#16839896C2211yescharacteristic, complemented
143#16839872C2211yescharacteristic, complemented
144#16839871C2211yescharacteristic, complemented
145#16839867C2211yescharacteristic, complemented
146#16839866C2211yescharacteristic, complemented
147#16839864C2211yescharacteristic, complemented
148#16839863C2211yescharacteristic, complemented
149#16839861C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic
151#16839835C2211yescharacteristic, complemented
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155#16839831C2211yescharacteristic
156#16839830C2211yescharacteristic, complemented
157#16839799C2211yescharacteristic, complemented
158#16839797C2211yescharacteristic, complemented
159#16839797C2211yescharacteristic, complemented
160C4⋊C8×D61C2211yescharacteristic, complemented
161#16839772C2211yescharacteristic, complemented
162#16839770C2211yescharacteristic, complemented
163#16839767C2211yescharacteristic, complemented
164#16839760C2211yescharacteristic, complemented
165#16839760C2211yescharacteristic, complemented
166#16839760C2211yescharacteristic, complemented
167#16839760C2211yescharacteristic, complemented
168#16839759C2211yescharacteristic, complemented
169#16839758C2211yescharacteristic, complemented
170#16839757C2211yescharacteristic, complemented
171#16839757C2211yescharacteristic, complemented
172#16839757C2211yescharacteristic, complemented
173#16839757C2211yescharacteristic, complemented
174#16839756C2211yescharacteristic, complemented
175#16839755C2211yescharacteristic
176#16839755C2211yescharacteristic
177#16839755C2211yescharacteristic
178#16839755C2211yescharacteristic, complemented
179#16839755C2211yescharacteristic, complemented
180#16839755C2211yescharacteristic, complemented
181#103×D61C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic, complemented
185C22⋊C8×D61C2211yescharacteristic, complemented
186C22⋊C8×D61C2211yescharacteristic, complemented
187#97×D61C2211yescharacteristic, complemented
188C61×#556C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#476C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224—24no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—42no—
213C2×#11758224C2311yescharacteristic
214C2×#11758224C2311yescharacteristic
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217#41×D61—24no—
218#41×D61—42no—
219C22×Dic122C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C22×C22⋊D61—21no—
222C22×C22⋊D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61D411yescharacteristic
225C2×D4×D61C2311yescharacteristic
226C23×Dic61—21no—
227C22×C4×D61—21no—
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230#14519800—42no—
231#14519798—24no—
232#14519798—42no—
233C2×#11758202C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758190C2311yescharacteristic
236C2×#11758190C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×#11758201C2311yescharacteristic
239C2×D488C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758194C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245M16×D61—42no—
246C22×#92418C2311yescharacteristic
247C2×C8×D61—42no—
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519777C2311yescharacteristic
255#14519776—21no—
256#14519775C2311yescharacteristic
257#14519773—21no—
258#14519773C2311yescharacteristic
259#14519771—21no—
260#14519771—21no—
261#14519770—21no—
262#14519770—21no—
263#14519769—21no—
264#14519768C2311yescharacteristic
265#14519768C2311yescharacteristic
266#14519767—21no—
267#14519767—21no—
268#14519765C2311yescharacteristic
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519762—21no—
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519761—21no—
279#14519760—21no—
280#14519759—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519758—21no—
286#14519757—21no—
287#14519757C2311yescharacteristic
288#14519756C2311yescharacteristic
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519754—21no—
294#14519754—21no—
295#14519753—21no—
296#14519753—21no—
297#14519753C2311yescharacteristic
298#14519753C2311yescharacteristic
299#14519753C2311yescharacteristic
300#14519752C2311yescharacteristic
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519751—21no—
304#14519751C2311yescharacteristic
305#14519751C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519748—21no—
318#14519748C2311yescharacteristic
319#14519747—21no—
320#14519747—21no—
321#14519747—21no—
322#14519747—21no—
323#14519746—21no—
324#14519745—21no—
325#14519745—21no—
326Q8×Dic61—21no—
327Q8×Dic61C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329#14519742—21no—
330#14519742C2311yescharacteristic
331C4×D244—21no—
332C4×D244—21no—
333C4×D244—21no—
334C4×D244—21no—
335C4×D244C2311yescharacteristic
336C4×D244C2311yescharacteristic
337D4×Dic61—21no—
338D4×Dic61D411yescharacteristic
339D4×Dic61C2311yescharacteristic
340#14519739—21no—
341#14519739—21no—
342#14519739—21no—
343#14519739—21no—
344#14519739D411yescharacteristic
345#14519739C2311yescharacteristic
346C4×C22⋊D61—21no—
347C4×C22⋊D61C2311yescharacteristic
348C4×C22⋊D61C2311yescharacteristic
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737D411yescharacteristic
361#14519737D411yescharacteristic
362#14519736C2311yescharacteristic
363#14519736C2311yescharacteristic
364#14519735—21no—
365#14519735—21no—
366#14519735—21no—
367#14519735—21no—
368#14519735C2311yescharacteristic
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519734—21no—
373#14519734—21no—
374#14519733—21no—
375#14519733—21no—
376#14519733—21no—
377C2×#11758196—21no—
378C4⋊C4×D61D411yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C4⋊C4×D61C2311yescharacteristic
383C2×#11758198—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61D411yescharacteristic
387C22⋊C4×D61D411yescharacteristic
388C2×C4×Dic61—21no—
389C42×D61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519709C2311yescharacteristic
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#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
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
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C22×D4×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#126×C61—21no—
453#126×C61—21no—
454#124×C61—21no—
455#124×C61C2311yescharacteristic
456#123×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#120×C61—21no—
463C4×Q8×C61—21no—
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic
469C2×C22⋊C4×C61—21no—
470#107×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C24×C61—21no—
488C23×D61—21no—
489C23×D61C2×D411yescharacteristic
490C23×D61C2×D411yescharacteristic
491#41×C61—22no—
492#41×C61—41no—
493C2×Q8×C61—21no—
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—22no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—41no—
501C2×D4×C61C2×D411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61C2411yescharacteristic
507C22×C4×C61C2411yescharacteristic
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⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—44no—
521C2×C22⋊D61—44no—
522C2×C22⋊D61C2×D411yescharacteristic
523C2×C22⋊D61C2×D411yescharacteristic
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—44no—
531C22×Dic61C2×D411yescharacteristic
532C22×Dic61C2×D411yescharacteristic
533#11758226—22no—
534#11758226—22no—
535#11758226—22no—
536#11758226—22no—
537#11758226—44no—
538Q8×D61—22no—
539Q8×D61—41no—
540#11758224—22no—
541#11758224—22no—
542#11758224—22no—
543#11758224—22no—
544#11758224—22no—
545#11758224—41no—
546#11758224—41no—
547#11758224—44no—
548#11758224—44no—
549#11758224—44no—
550#11758224#4114yescomplemented
551D4×D61—22no—
552D4×D61—41no—
553D4×D61—42no—
554D4×D61—44no—
555#11758222—22no—
556#11758222—41no—
557#11758222—44no—
558C2×D244—21no—
559C2×D244—21no—
560C2×D244—21no—
561C2×D244—21no—
562C2×D244—21no—
563C2×D244C2×D411yescharacteristic
564C2×D244C2411yescharacteristic
565C2×D244C2411yescharacteristic
566C2×C4×D61—22no—
567C2×C4×D61—22no—
568C2×C4×D61—22no—
569C2×C4×D61—22no—
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—21no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—44no—
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2×D411yescharacteristic
583C2×C4×D61C2×D411yescharacteristic
584C2×C4×D61C2×D411yescharacteristic
585C2×C4×D61C2×D411yescharacteristic
586C2×C4×D61C2×D411yescharacteristic
587C2×C4×D61C2411yescharacteristic
588C2×C4×D61C2411yescharacteristic
589C2×C4×D61C2411yescharacteristic
590C2×Dic122—22no—
591C2×Dic122—21no—
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122—41no—
595C2×Dic122C2411yescharacteristic
596C2×Dic122C2411yescharacteristic
597Q16×C61—41no—
598SD16×C61—22no—
599SD16×C61—41no—
600M16×C61—41no—
601C2×C8×C61—41no—
602C2×C8×C61C2411yescharacteristic
603C2×C8×C61C2411yescharacteristic
604C2×C8×C61C2411yescharacteristic
605C2×C8×C61C2411yescharacteristic
606C4⋊C4×C61—21no—
607C4⋊C4×C61—21no—
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61C2×D411yescharacteristic
612C4⋊C4×C61C2411yescharacteristic
613C4⋊C4×C61C2411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C22⋊C4×C61—21no—
617C22⋊C4×C61—21no—
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×C61—21no—
625C22⋊C4×C61C2×D411yescharacteristic
626C22⋊C4×C61C2×D411yescharacteristic
627C42×C61—21no—
628C42×C61—21no—
629C42×C61—21no—
630C42×C61C2411yescharacteristic
631C22⋊Dic61—21no—
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61C2×D411yescharacteristic
637C22⋊Dic61C2×D411yescharacteristic
638#11758202—22no—
639#11758202—41no—
640#11758201—41no—
641#11758201—41no—
642#11758199—22no—
643#11758199—41no—
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#11758198—21no—
661#11758198—21no—
662#11758198C2×D411yescharacteristic
663#11758198C2×D411yescharacteristic
664#11758198C2×D411yescharacteristic
665#11758198C2×D411yescharacteristic
666C4⋊Dic61—21no—
667C4⋊Dic61—21no—
668C4⋊Dic61—21no—
669C4⋊Dic61—21no—
670C4⋊Dic61—21no—
671C4⋊Dic61C2×D411yescharacteristic
672C4⋊Dic61C2411yescharacteristic
673C4⋊Dic61C2411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
691#11758196C2×D411yescharacteristic
692C4×Dic61—21no—
693C4×Dic61—21no—
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—41no—
711#11758190—22no—
712#11758190—41no—
713#11758189—41no—
714#11758189—41no—
715C8×D61—22no—
716C8×D61—22no—
717C8×D61—22no—
718C8×D61—22no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61—42no—
724C23×C61—42no—
725C23×C61—81no—
726C23×C61C22×D411yescharacteristic
727C23×C61C22×D411yescharacteristic
728C22×D61—22no—
729C22×D61—22no—
730C22×D61—22no—
731C22×D61—21no—
732C22×D61—21no—
733C22×D61—41no—
734C22×D61—41no—
735C22×D61—41no—
736C22×D61—42no—
737C22×D61—42no—
738C22×D61—81no—
739C22×D61C22×D411yescharacteristic
740C22×D61C22×D411yescharacteristic
741C22×D61C22×D411yescharacteristic
742Q8×C61—21no—
743Q8×C61—21no—
744Q8×C61—21no—
745Q8×C61—21no—
746Q8×C61—42no—
747D4×C61—21no—
748D4×C61—21no—
749D4×C61—21no—
750D4×C61—41no—
751D4×C61—42no—
752D4×C61—42no—
753D4×C61—81no—
754D4×C61C2×#4112yes—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—42no—
766C2×C4×C61—81no—
767C2×C4×C61C22×D411yescharacteristic
768C2×C4×C61C22×D411yescharacteristic
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C2511yescharacteristic
772C22⋊D61—24no—
773C22⋊D61—22no—
774C22⋊D61—41no—
775C22⋊D61—42no—
776C22⋊D61—42no—
777C22⋊D61—42no—
778C22⋊D61—42no—
779C22⋊D61—42no—
780C22⋊D61—42no—
781C22⋊D61—42no—
782C22⋊D61—42no—
783C22⋊D61—81no—
784C22⋊D61—81no—
785C22⋊D61—81no—
786C2×Dic61—21no—
787C2×Dic61—22no—
788C2×Dic61—22no—
789C2×Dic61—24no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—42no—
796C2×Dic61—42no—
797C2×Dic61—42no—
798C2×Dic61—42no—
799C2×Dic61—42no—
800C2×Dic61C22×D411yescharacteristic
801C2×Dic61C22×D411yescharacteristic
802C2×Dic61C22×D411yescharacteristic
803C2×Dic61C22×D411yescharacteristic
804C2×Dic61C22×D411yescharacteristic
805D244—22no—
806D244—21no—
807D244—21no—
808D244—21no—
809D244—21no—
810D244—42no—
811D244—42no—
812D244—42no—
813D244—42no—
814D244—81no—
815C4×D61—22no—
816C4×D61—22no—
817C4×D61—21no—
818C4×D61—21no—
819C4×D61—21no—
820C4×D61—21no—
821C4×D61—22no—
822C4×D61—22no—
823C4×D61—41no—
824C4×D61—41no—
825C4×D61—42no—
826C4×D61—42no—
827C4×D61—42no—
828C4×D61—42no—
829C4×D61—42no—
830C4×D61—42no—
831C4×D61—42no—
832C4×D61—81no—
833C4×D61—81no—
834C4×D61—81no—
835C4×D61C2×#4112yes—
836C4×D61H(5,𝔽2)12yes—
837Dic122—21no—
838Dic122—21no—
839Dic122—21no—
840Dic122—42no—
841Dic122—42no—
842Dic122—81no—
843Dic122C2×#4112yes—
844C8×C61—21no—
845C8×C61—21no—
846C8×C61—21no—
847C8×C61—21no—
848#92418—21no—
849#92418—21no—
850#92418—21no—
851#92418—21no—
852#61141—611nomaximal, Sylow
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—21no—
856C22×C61—22no—
857C22×C61—21no—
858C22×C61—21no—
859C22×C61—21no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—84no—
866C22×C61C23×D411yescharacteristic
867C2×D61—21no—
868C2×D61—21no—
869C2×D61—21no—
870C2×D61—21no—
871C2×D61—21no—
872C2×D61—21no—
873C2×D61—21no—
874C2×D61—44no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—82no—
882C2×D61—84no—
883C2×D61#54612yes—
884C2×D61#57512yes—
885C4×C61—21no—
886C4×C61—21no—
887C4×C61—21no—
888C4×C61—21no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61—41no—
895C4×C61C22×#4111yescharacteristic
896C4×C61C2×H(5,𝔽2)11yescharacteristic
897Dic61—21no—
898Dic61—22no—
899Dic61—21no—
900Dic61—21no—
901Dic61—21no—
902Dic61—41no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61—41no—
907Dic61#54612yes—
908#3475—611no—
909D4×#41—611no—
910#3321—611no—
911#3320—611no—
912#3319—611no—
913#3318—611no—
914#3317—611no—
915#3316—611no—
916#3315—611no—
917#3314—611no—
918#3313—611no—
919#3312—611no—
920#3311D6111yescharacteristic, complemented
921#3310—611no—
922#3309—611no—
923#3308—611no—
924#3307—611no—
925#3306—611no—
926#3135—611no—
927#3091—611no—
928#3091—611no—
929#3076—611no—
930#3054—611no—
931#3050—611no—
932#3035—611no—
933#3002—611no—
934#3002—611no—
935#2943—611no—
936C2×#435—611no—
937#2896—611no—
938C2×#416—611no—
939C2×C61—41no—
940C2×C61—41no—
941C2×C61—42no—
942C2×C61—81no—
943C2×C61C2×#54611yescharacteristic
944C2×C61C2×#57511yescharacteristic
945C2×C61#358411yescharacteristic
946D61—22no—
947D61—22no—
948D61—41no—
949D61—81no—
950D61—81no—
951C22×#41—611no—
952C22×#41—611no—
953C2×#135—611no—
954C2×#135—611no—
955C2×#135—611no—
956C22×M16—611no—
957C23×C8—611no—
958#556C2×D6111yescharacteristic, complemented
959#555—611no—
960#554—611no—
961#553—611no—
962#553—611no—
963#552—611no—
964#552—611no—
965#552—1221no—
966#551—1221no—
967#551—1221no—
968#550—611no—
969D4×Q8—611no—
970#548—611no—
971#548—611no—
972#547—611no—
973#547—611no—
974#547—1221no—
975#546—611no—
976#546—1221no—
977#546—1221no—
978#546—1221no—
979#546C2×D6111yescharacteristic
980D42—611no—
981D42—1221no—
982#533—611no—
983#532—611no—
984#532—1221no—
985#529—1221no—
986#529—1221no—
987#529—1221no—
988#525—611no—
989#525—611no—
990#525—611no—
991#525—611no—
992#525—1221no—
993#525—1221no—
994C4×#41—611no—
995C4×#41—611no—
996C4×#41—1221no—
997C2×C4×D4—611no—
998C2×C4×D4—1221no—
999C2×#117—611no—
1000C2×#117—611no—
1001#491—611no—
1002#491—611no—
1003#490—611no—
1004#490—611no—
1005#489—611no—
1006#489—611no—
1007#489—611no—
1008#489C2×D6111yescharacteristic, complemented
1009#485—611no—
1010#485—611no—
1011#485—611no—
1012#485C2×D6111yescharacteristic, complemented
1013#484—611no—
1014#484—611no—
1015#483—611no—
1016#483—611no—
1017#482—611no—
1018#482—611no—
1019#482—611no—
1020#482C2×D6111yescharacteristic, complemented
1021#481—611no—
1022#481—611no—
1023#480—611no—
1024#480—611no—
1025#479—611no—
1026#479—611no—
1027#478—611no—
1028#478—611no—
1029#477—611no—
1030#476C2×D6111yescharacteristic, complemented
1031#475—611no—
1032#474—611no—
1033#470—611no—
1034#470C2×D6111yescharacteristic, complemented
1035#469—611no—
1036#469—611no—
1037#468—611no—
1038#468—611no—
1039#468—611no—
1040#468—611no—
1041#467—611no—
1042#467—611no—
1043#466—611no—
1044#466—611no—
1045#465—611no—
1046#465—611no—
1047#465—611no—
1048#465C2×D6111yescharacteristic, complemented
1049#464—611no—
1050#464C2×D6111yescharacteristic, complemented
1051#463—611no—
1052#463—611no—
1053#462—611no—
1054#461—611no—
1055#460—611no—
1056#459—611no—
1057#452—611no—
1058#452—611no—
1059#452—611no—
1060#452C2×D6111yescharacteristic, complemented
1061#451—611no—
1062#451—611no—
1063#450—611no—
1064#450C2×D6111yescharacteristic, complemented
1065#449—611no—
1066#449—611no—
1067#449—611no—
1068#449—611no—
1069#448—611no—
1070#448—611no—
1071#447—611no—
1072#447—611no—
1073#442—611no—
1074#442—611no—
1075#441—611no—
1076#441—611no—
1077#440—611no—
1078#440—611no—
1079#440—611no—
1080#440C2×D6111yescharacteristic, complemented
1081#435—611no—
1082#435—611no—
1083#435—611no—
1084#435—611no—
1085#435—611no—
1086#435—611no—
1087#435—611no—
1088#435C2×D6111yescharacteristic, complemented
1089#427—611no—
1090#427—611no—
1091#427—611no—
1092C2×C4⋊C8—611no—
1093#419—611no—
1094#419—611no—
1095#418—611no—
1096#418C2×D6111yescharacteristic, complemented
1097#417—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#416—611no—
1102#416—611no—
1103#416—611no—
1104#416—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416—611no—
1110#416—611no—
1111#416—611no—
1112#416—611no—
1113#416—611no—
1114#416C2×D6111yescharacteristic, complemented
1115C2×#103—611no—
1116C2×#103—611no—
1117C2×#102—611no—
1118C2×#102—611no—
1119C2×C22⋊C8—611no—
1120C2×C22⋊C8—611no—
1121C2×#97—611no—
1122C61#6114111yescharacteristic, complemented, Sylow
1123C2×#41—611no—
1124C2×#41—611no—
1125C2×#41—611no—
1126C2×#41—611no—
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—611no—
1130C2×#41—1221no—
1131C2×#41—1221no—
1132C2×#41—1221no—
1133C2×#41—1221no—
1134C2×#41—1221no—
1135C2×#41—1224no—
1136C2×#41—1224no—
1137C2×#41—2442no—
1138C2×#41—2442no—
1139C2×#41C22×D6111yescharacteristic
1140C22×Q8—611no—
1141C22×Q8—611no—
1142C22×D4—611no—
1143C22×D4—611no—
1144C22×D4—1221no—
1145C22×D4—1221no—
1146C22×D4—1221no—
1147C22×D4C22×D6111yescharacteristic
1148C23×C4—611no—
1149C23×C4—611no—
1150C23×C4—1221no—
1151C23×C4—1221no—
1152#135—1224no—
1153#135—2442no—
1154#135—2442no—
1155C2×Q16—611no—
1156C2×Q16—611no—
1157C2×Q16C22×D6111yescharacteristic
1158C2×SD16—611no—
1159C2×SD16—611no—
1160C2×SD16—611no—
1161C2×SD16—611no—
1162C2×SD16C22×D6111yescharacteristic
1163C2×SD16C22×D6111yescharacteristic
1164C2×D8—611no—
1165C2×D8—611no—
1166C2×D8—611no—
1167C2×M16—611no—
1168C2×M16—611no—
1169C2×M16—611no—
1170C2×M16—2442no—
1171C2×M16C22×D6111yescharacteristic
1172C22×C8—611no—
1173C22×C8—611no—
1174C22×C8—611no—
1175C22×C8—611no—
1176C22×C8—611no—
1177C22×C8—611no—
1178C22×C8—611no—
1179C22×C8—2442no—
1180C22×C8C22×D6111yescharacteristic
1181C4⋊Q8—611no—
1182C4⋊Q8—611no—
1183C4⋊Q8—1221no—
1184C4⋊Q8C22×D6111yescharacteristic
1185#127—611no—
1186#127—1221no—
1187#126—21no—
1188#126—21no—
1189#126—1221no—
1190#126—1221no—
1191#126—1221no—
1192#126—1221no—
1193#125—611no—
1194#125—611no—
1195#125—1221no—
1196#125—1221no—
1197#125—1221no—
1198#124—21no—
1199#124—611no—
1200#124—1221no—
1201#124—1221no—
1202#124—1221no—
1203#124—1221no—
1204#124C22×D6111yescharacteristic
1205#123—21no—
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—
1218#123—1221no—
1219C22⋊Q8—611no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—611no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8C22×D6111yescharacteristic
1234C22⋊Q8C22×D6111yescharacteristic
1235C22⋊Q8C22×D6111yescharacteristic
1236#121—21no—
1237#121—611no—
1238#121—611no—
1239#121—611no—
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#121—1221no—
1255#121—1221no—
1256#121C22×D6111yescharacteristic
1257#120—21no—
1258#120—1221no—
1259#120—1221no—
1260#120—1221no—
1261#120—1221no—
1262#120—1221no—
1263#120—1221no—
1264#120—1221no—
1265C4×Q8—21no—
1266C4×Q8—611no—
1267C4×Q8—611no—
1268C4×Q8—611no—
1269C4×Q8—1221no—
1270C4×Q8—1221no—
1271C4×Q8C22×D6111yescharacteristic
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—611no—
1281C4×D4—611no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4—1221no—
1303C4×D4C22×D6111yescharacteristic
1304C4×D4C22×D6111yescharacteristic
1305#117—611no—
1306#117—611no—
1307#117—611no—
1308#117—611no—
1309#117—611no—
1310#117—611no—
1311#117—1221no—
1312#117—1221no—
1313#117—1221no—
1314#117—1221no—
1315#117—1221no—
1316#117—1221no—
1317#117—1221no—
1318#117—1221no—
1319#117—1221no—
1320#117C22×D6111yescharacteristic
1321#117C22×D6111yescharacteristic
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—611no—
1326C2×C4⋊C4—611no—
1327C2×C4⋊C4—1221no—
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—611no—
1331C2×C22⋊C4—1221no—
1332C2×C22⋊C4—1221no—
1333C2×C22⋊C4—1221no—
1334C2×C42—611no—
1335C2×C42—1221no—
1336C2×C42—1221no—
1337C2×C42—1221no—
1338C2×C42—1221no—
1339#107—611no—
1340#107—611no—
1341#107—611no—
1342#107—611no—
1343#107—611no—
1344#107C22×D6111yescharacteristic
1345#106—611no—
1346#106—611no—
1347#106—611no—
1348#106—611no—
1349#106C22×D6111yescharacteristic
1350#106C22×D6111yescharacteristic
1351C4⋊C8—611no—
1352C4⋊C8—611no—
1353C4⋊C8—611no—
1354C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1366#103—611no—
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103—611no—
1371#103C22×D6111yescharacteristic
1372#103C22×D6111yescharacteristic
1373#103C22×D6111yescharacteristic
1374#103C22×D6111yescharacteristic
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#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102—611no—
1389#102C22×D6111yescharacteristic
1390#102C22×D6111yescharacteristic
1391#102C22×D6111yescharacteristic
1392#102C22×D6111yescharacteristic
1393#102C22×D6111yescharacteristic
1394#102C22×D6111yescharacteristic
1395C22⋊C8—611no—
1396C22⋊C8—611no—
1397C22⋊C8—611no—
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8—611no—
1401C22⋊C8C22×D6111yescharacteristic
1402C22⋊C8C22×D6111yescharacteristic
1403#97—611no—
1404#97—611no—
1405#97—611no—
1406#97C22×D6111yescharacteristic
1407C24—21no—
1408C24—611no—
1409C24—611no—
1410C24—1221no—
1411#41—22no—
1412#41—41no—
1413#41—614no—
1414#41—1222no—
1415#41—1222no—
1416#41—1222no—
1417#41—1222no—
1418#41—1222no—
1419#41—1222no—
1420#41—1222no—
1421#41—1222no—
1422#41—1222no—
1423#41—1222no—
1424#41—2441no—
1425#41—2444no—
1426#41—2444no—
1427#41—2444no—
1428#41—2441no—
1429#41—2441no—
1430#41—2444no—
1431#41—2444no—
1432C2×Q8—21no—
1433C2×Q8—611no—
1434C2×Q8—611no—
1435C2×Q8—1221no—
1436C2×Q8—1222no—
1437C2×Q8—1221no—
1438C2×Q8—1221no—
1439C2×Q8—1222no—
1440C2×Q8—2441no—
1441C2×Q8—2441no—
1442C2×Q8C23×D6111yescharacteristic
1443C2×Q8C23×D6111yescharacteristic
1444C2×D4—22no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—41no—
1449C2×D4—611no—
1450C2×D4—611no—
1451C2×D4—611no—
1452C2×D4—611no—
1453C2×D4—611no—
1454C2×D4—1221no—
1455C2×D4—1221no—
1456C2×D4—1221no—
1457C2×D4—1221no—
1458C2×D4—1221no—
1459C2×D4—1221no—
1460C2×D4—1221no—
1461C2×D4—1221no—
1462C2×D4—1221no—
1463C2×D4—1222no—
1464C2×D4—1221no—
1465C2×D4—1221no—
1466C2×D4—1221no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—2441no—
1473C2×D4—2442no—
1474C2×D4—2444no—
1475C2×D4—2444no—
1476C2×D4—2444no—
1477C2×D4D4×D6111yescharacteristic
1478C2×D4C23×D6111yescharacteristic
1479C2×D4C23×D6111yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—611no—
1483C22×C4—611no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—611no—
1493C22×C4—1222no—
1494C22×C4—1222no—
1495C22×C4—1222no—
1496C22×C4—1222no—
1497C22×C4—1221no—
1498C22×C4—1221no—
1499C22×C4—1221no—
1500C22×C4—1221no—
1501C22×C4—1221no—
1502C22×C4—1221no—
1503C22×C4—1221no—
1504C22×C4—1221no—
1505C22×C4—1221no—
1506C22×C4—1221no—
1507C22×C4—1221no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—1221no—
1513C22×C4—2444no—
1514C22×C4—2444no—
1515C22×C4C23×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517Q16—41no—
1518Q16—1222no—
1519Q16—2441no—
1520SD16—22no—
1521SD16—41no—
1522SD16—1222no—
1523SD16—2441no—
1524SD16—2441no—
1525SD16—2441no—
1526D8—1222no—
1527D8—2441no—
1528D8—2441no—
1529M16—41no—
1530M16—2441no—
1531M16—2441no—
1532M16—2441no—
1533C2×C8—41no—
1534C2×C8—611no—
1535C2×C8—611no—
1536C2×C8—611no—
1537C2×C8—611no—
1538C2×C8—1222no—
1539C2×C8—1222no—
1540C2×C8—1222no—
1541C2×C8—1222no—
1542C2×C8—2441no—
1543C2×C8—2441no—
1544C2×C8—2441no—
1545C2×C8C23×D6111yescharacteristic
1546C2×C8C23×D6111yescharacteristic
1547C2×C8C23×D6111yescharacteristic
1548C2×C8C23×D6111yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—611no—
1555C4⋊C4—611no—
1556C4⋊C4—611no—
1557C4⋊C4—611no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
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⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4—1221no—
1580C4⋊C4D4×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C4⋊C4C23×D6111yescharacteristic
1584C4⋊C4C23×D6111yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—611no—
1597C22⋊C4—611no—
1598C22⋊C4—611no—
1599C22⋊C4—611no—
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⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4D4×D6111yescharacteristic
1624C22⋊C4D4×D6111yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—21no—
1628C42—611no—
1629C42—611no—
1630C42—611no—
1631C42—1221no—
1632C42—1221no—
1633C42—1221no—
1634C42—1221no—
1635C42—1221no—
1636C42—1221no—
1637C42—1221no—
1638C42—1221no—
1639C42—1221no—
1640C42C23×D6111yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—42no—
1644C23—42no—
1645C23—81no—
1646C23—611no—
1647C23—611no—
1648C23—611no—
1649C23—1222no—
1650C23—1222no—
1651C23—1222no—
1652C23—1221no—
1653C23—1221no—
1654C23—4881no—
1655C23—2441no—
1656C23—2441no—
1657C23—2441no—
1658C23—2442no—
1659C23—2442no—
1660C23C2×D4×D6111yescharacteristic
1661C23C2×D4×D6111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—42no—
1667Q8—612no—
1668Q8—1221no—
1669Q8—1221no—
1670Q8—1221no—
1671Q8—4881no—
1672Q8—2442no—
1673Q8—2442no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—42no—
1680D4—81no—
1681D4—1222no—
1682D4—1222no—
1683D4—1224no—
1684D4—1221no—
1685D4—1221no—
1686D4—1221no—
1687D4—1221no—
1688D4—4881no—
1689D4—4881no—
1690D4—4881no—
1691D4—4881no—
1692D4—2442no—
1693D4—2442no—
1694D4—2442no—
1695D4—2442no—
1696D4—2441no—
1697D4—2442no—
1698D4—2442no—
1699D4—2442no—
1700D4—2442no—
1701D4—2442no—
1702D4—2442no—
1703D4—2442no—
1704D4—2442no—
1705D4#41×D6112yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—81no—
1718C2×C4—611no—
1719C2×C4—612no—
1720C2×C4—612no—
1721C2×C4—611no—
1722C2×C4—611no—
1723C2×C4—611no—
1724C2×C4—611no—
1725C2×C4—1222no—
1726C2×C4—1222no—
1727C2×C4—1222no—
1728C2×C4—1222no—
1729C2×C4—1222no—
1730C2×C4—1222no—
1731C2×C4—1224no—
1732C2×C4—1221no—
1733C2×C4—1221no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—4881no—
1743C2×C4—4881no—
1744C2×C4—4881no—
1745C2×C4—2441no—
1746C2×C4—2441no—
1747C2×C4—2442no—
1748C2×C4—2442no—
1749C2×C4—2442no—
1750C2×C4—2442no—
1751C2×C4—2442no—
1752C2×C4—2442no—
1753C2×C4—2442no—
1754C2×C4—2442no—
1755C2×C4—2442no—
1756C2×C4—2442no—
1757C2×C4—2442no—
1758C2×C4—2442no—
1759C2×C4C2×D4×D6111yescharacteristic
1760C2×C4C2×D4×D6111yescharacteristic
1761C2×C4C2×D4×D6111yescharacteristic
1762C2×C4C2×D4×D6111yescharacteristic
1763C2×C4C24×D6111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1221no—
1769C8—1221no—
1770C8—1221no—
1771C8—1221no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—84no—
1785C22—612no—
1786C22—612no—
1787C22—1221no—
1788C22—1221no—
1789C22—1221no—
1790C22—1221no—
1791C22—1221no—
1792C22—1221no—
1793C22—1221no—
1794C22—4884no—
1795C22—4882no—
1796C22—2444no—
1797C22—2441no—
1798C22—2441no—
1799C22—2441no—
1800C22—2441no—
1801C22—2441no—
1802C22—2441no—
1803C22C22×D4×D6111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—612no—
1815C4—1221no—
1816C4—1221no—
1817C4—1222no—
1818C4—1221no—
1819C4—1221no—
1820C4—2441no—
1821C4—2441no—
1822C4—2441no—
1823C4—2441no—
1824C4—2441no—
1825C4C2×#41×D6111yescharacteristic
1826C4H(5,𝔽2)×D6111yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—1222no—
1832C2—1222no—
1833C2—4881no—
1834C2—4881no—
1835C2—2441no—
1836C2#546×D6111yescharacteristic
1837C2#575×D6111yescharacteristic
1838C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3311C2
socleC22×C61C23×D4
hypercenter#3311D61
hypocenterC61#61141
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #21459380C2semidirect
2. #21459303C2semidirect
3. #21458007C2semidirect
4. #21457993C2semidirect
5. #21457975C2semidirect
6. #21457961C2semidirect
7. #21457951C2semidirect
8. #21457937C2semidirect
9. #21457919C2semidirect
10. #21457905C2semidirect
11. #21457879C2semidirect
12. #21457865C2semidirect
13. #21457833C2semidirect
14. #21457823C2semidirect
15. #21457809C2semidirect
16. #21457791C2semidirect
17. #21457777C2semidirect
18. #21456161C2semidirect
19. #21455737C2semidirect
20. #21455731C2semidirect
21. #21455608C2semidirect
22. #21455430C2semidirect
23. #21455395C2semidirect
24. #21455273C2semidirect
25. #21455040C2semidirect
26. #21455038C2semidirect
27. #21454614C2semidirect
28. #435×D61C2semidirect
29. #21454333C2semidirect
30. #416×D61C2semidirect
31. C61×#3311C2semidirect
34. C2×#14519800C22semidirect
36. C2×#14519798C22semidirect
37. C2×M16×D61C22semidirect
38. C22×C8×D61C22semidirect
39. #16840477C22semidirect
40. #16840472C22semidirect
42. #16840456C22semidirect
45. #16840446C22semidirect
52. #16840415C22semidirect
61. #16840317C22semidirect
68. #16840275C22semidirect
69. #16840275C22semidirect
74. C4×#11758226C22semidirect
78. #117×D61C22semidirect
79. #117×D61C22semidirect
80. #16840129C22semidirect
81. #16840129C22semidirect
82. #16840125C22semidirect
83. #16840125C22semidirect
84. #16840124C22semidirect
85. #16840122C22semidirect
86. #16840121C22semidirect
87. #16840104C22semidirect
88. #16840103C22semidirect
89. #16840100C22semidirect
90. #16840099C22semidirect
91. #16840096C22semidirect
92. #16840094C22semidirect
93. #16840091C22semidirect
94. #16840087C22semidirect
95. #16840086C22semidirect
96. #16840083C22semidirect
97. #16840082C22semidirect
98. #16840079C22semidirect
99. #16840077C22semidirect
100. #16840074C22semidirect
101. #16840072C22semidirect
102. #16840072C22semidirect
103. #16840064C22semidirect
104. #16840064C22semidirect
105. #16840054C22semidirect
106. #16840048C22semidirect
107. #16840042C22semidirect
108. #16840017C22semidirect
109. #16840016C22semidirect
110. #16840015C22semidirect
111. #16840011C22semidirect
112. #16840011C22semidirect
113. #16840010C22semidirect
114. #16840010C22semidirect
115. #16840002C22semidirect
116. #16840001C22semidirect
117. #16839997C22semidirect
118. #16839996C22semidirect
119. #16839992C22semidirect
120. #16839991C22semidirect
121. #16839988C22semidirect
122. #16839984C22semidirect
123. #16839978C22semidirect
124. #16839974C22semidirect
125. #16839970C22semidirect
126. #16839966C22semidirect
127. #16839960C22semidirect
128. #16839956C22semidirect
129. #16839922C22semidirect
130. #16839921C22semidirect
131. #16839921C22semidirect
132. #16839917C22semidirect
133. #16839916C22semidirect
134. #16839911C22semidirect
135. #16839909C22semidirect
136. #16839908C22semidirect
137. #16839908C22semidirect
138. #16839907C22semidirect
139. #16839903C22semidirect
140. #16839902C22semidirect
141. #16839897C22semidirect
142. #16839896C22semidirect
143. #16839872C22semidirect
144. #16839871C22semidirect
145. #16839867C22semidirect
146. #16839866C22semidirect
147. #16839864C22semidirect
148. #16839863C22semidirect
149. #16839861C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
156. #16839830C22semidirect
157. #16839799C22semidirect
158. #16839797C22semidirect
159. #16839797C22semidirect
160. C4⋊C8×D61C22semidirect
161. #16839772C22semidirect
162. #16839770C22semidirect
163. #16839767C22semidirect
164. #16839760C22semidirect
165. #16839760C22semidirect
166. #16839760C22semidirect
167. #16839760C22semidirect
168. #16839759C22semidirect
169. #16839758C22semidirect
170. #16839757C22semidirect
171. #16839757C22semidirect
172. #16839757C22semidirect
173. #16839757C22semidirect
174. #16839756C22semidirect
178. #16839755C22semidirect
179. #16839755C22semidirect
180. #16839755C22semidirect
181. #103×D61C22semidirect
182. #103×D61C22semidirect
183. #102×D61C22semidirect
184. #102×D61C22semidirect
185. C22⋊C8×D61C22semidirect
186. C22⋊C8×D61C22semidirect
187. #97×D61C22semidirect
188. C61×#556C22semidirect
190. C61×#489C22semidirect
191. C61×#485C22semidirect
192. C61×#482C22semidirect
193. C61×#476C22semidirect
194. C61×#470C22semidirect
195. C61×#465C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
198. C61×#450C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#418C22semidirect
202. C61×#416C22semidirect
550. #11758224#41semidirect
920. #3311D61semidirect
958. #556C2×D61semidirect
1008. #489C2×D61semidirect
1012. #485C2×D61semidirect
1020. #482C2×D61semidirect
1030. #476C2×D61semidirect
1034. #470C2×D61semidirect
1048. #465C2×D61semidirect
1050. #464C2×D61semidirect
1060. #452C2×D61semidirect
1064. #450C2×D61semidirect
1080. #440C2×D61semidirect
1088. #435C2×D61semidirect
1096. #418C2×D61semidirect
1114. #416C2×D61semidirect
1122. C61#61141semidirect

Maximal subgroups

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

subgroupindex
#214593802
#214593032
#214580072
#214579932
#214579752
#214579612
#214579512
#214579372
#214579192
#214579052
#214578792
#214578652
#214578332
#214578232
#214578092
#214577912
#214577772
#214561612
#214557372
#214557312
#214556082
#214554302
#214553952
#214552732
#214550402
#214550382
#214546142
#435×D612
#214543332
#416×D612
C61×#33112
#6114161