Finite Group Databasebeta

← #30577215

Subgroups — #30577215

Order 15616.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460454C211yesmaximal, characteristic, complemented
2#21459748C211yesmaximal, characteristic, complemented
3#21458775C211yesmaximal, characteristic, complemented
4#21458689C211yesmaximal, characteristic, complemented
5#21458593C211yesmaximal, characteristic, complemented
6#21458474C211yesmaximal, characteristic, complemented
7#21458409C211yesmaximal, characteristic, complemented
8#21458381C211yesmaximal, characteristic, complemented
9#21458374C211yesmaximal, characteristic, complemented
10#21458347C211yesmaximal, characteristic, complemented
11#21458263C211yesmaximal, characteristic, complemented
12#21458215C211yesmaximal, characteristic, complemented
13#21458046C211yesmaximal, characteristic, complemented
14#21458036C211yesmaximal, characteristic, complemented
15#21457979C211yesmaximal, characteristic, complemented
16#21457964C211yesmaximal, characteristic, complemented
17#21457654C211yesmaximal, characteristic, complemented
18#21457276C211yesmaximal, characteristic, complemented
19#21457231C211yesmaximal, characteristic, complemented
20#21457217C211yesmaximal, characteristic, complemented
21#21457123C211yesmaximal, characteristic, complemented
22#21457068C211yesmaximal, characteristic, complemented
23#21456993C211yesmaximal, characteristic, complemented
24#21456097C211yesmaximal, characteristic, complemented
25#21455996C211yesmaximal, characteristic, complemented
26#21455864C211yesmaximal, characteristic, complemented
27#21455674C211yesmaximal, characteristic, complemented
28#21455652C211yesmaximal, characteristic, complemented
29#21455614C211yesmaximal, characteristic, complemented
30#21454963C211yesmaximal, characteristic, complemented
31C61×#3322C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840507—21no—
34#16840494C2211yescharacteristic
35#16840489C2211yescharacteristic, complemented
36#16840482—21no—
37#16840480C2211yescharacteristic
38#16840476C2211yescharacteristic, complemented
39#16840471C2211yescharacteristic
40#16840471C2211yescharacteristic, complemented
41#16840464C2211yescharacteristic
42#16840458C2211yescharacteristic
43#16840455—21no—
44#16840452C2211yescharacteristic, complemented
45#16840449—21no—
46#16840447C2211yescharacteristic, complemented
47#16840446C2211yescharacteristic
48#16840438—21no—
49#16840435—21no—
50#16840412C2211yescharacteristic
51#16840400C2211yescharacteristic
52#16840399—21no—
53D4×C22⋊D61C2211yescharacteristic
54#16840393C2211yescharacteristic, complemented
55#16840390C2211yescharacteristic, complemented
56#16840385C2211yescharacteristic
57#16840380—21no—
58#16840379—21no—
59#16840379C2211yescharacteristic, complemented
60#16840379C2211yescharacteristic, complemented
61#16840369—21no—
62#16840365C2211yescharacteristic
63#16840356—21no—
64#16840354—21no—
65#16840347—21no—
66#16840318C2211yescharacteristic, complemented
67#16840294C2211yescharacteristic
68#16840294C2211yescharacteristic, complemented
69#16840291C2211yescharacteristic
70#16840272—21no—
71C2×#14519759—21no—
72#16840245C2211yescharacteristic
73#16840237C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840164C2211yescharacteristic, complemented
78#16840163C2211yescharacteristic, complemented
79#16840161C2211yescharacteristic, complemented
80#16840159C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840123C2211yescharacteristic, complemented
83#16840118C2211yescharacteristic, complemented
84#16840116C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic
86#16840104C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840101C2211yescharacteristic, complemented
89#16840099C2211yescharacteristic, complemented
90#16840093C2211yescharacteristic, complemented
91#16840090C2211yescharacteristic, complemented
92#16840087C2211yescharacteristic, complemented
93#16840086C2211yescharacteristic
94#16840085C2211yescharacteristic
95#16840084C2211yescharacteristic
96#16840083C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840081C2211yescharacteristic
99#16840080C2211yescharacteristic, complemented
100#16840079C2211yescharacteristic, complemented
101#16840078C2211yescharacteristic, complemented
102#16840072C2211yescharacteristic, complemented
103#16840070C2211yescharacteristic, complemented
104#16840067C2211yescharacteristic, complemented
105#16840067C2211yescharacteristic, complemented
106#16840065C2211yescharacteristic, complemented
107#16840064C2211yescharacteristic
108#16840064C2211yescharacteristic
109#16840064C2211yescharacteristic, complemented
110#16840063C2211yescharacteristic, complemented
111#16840062C2211yescharacteristic
112#16840062C2211yescharacteristic, complemented
113#16840060C2211yescharacteristic
114#16840060C2211yescharacteristic, complemented
115#16840060C2211yescharacteristic, complemented
116#16840059C2211yescharacteristic, complemented
117#16840056C2211yescharacteristic, complemented
118#16840055C2211yescharacteristic, complemented
119#16840055C2211yescharacteristic, complemented
120#16840051C2211yescharacteristic, complemented
121#16840050C2211yescharacteristic
122#16840050C2211yescharacteristic, complemented
123#16840050C2211yescharacteristic, complemented
124#16840045C2211yescharacteristic, complemented
125#16840041C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840040C2211yescharacteristic
129#16840040C2211yescharacteristic, complemented
130#16840040C2211yescharacteristic, complemented
131#16840019C2211yescharacteristic, complemented
132#16840012C2211yescharacteristic
133#16840008C2211yescharacteristic
134#16840008C2211yescharacteristic, complemented
135#16840007C2211yescharacteristic
136#16840005C2211yescharacteristic, complemented
137#16840001C2211yescharacteristic, complemented
138#16839996C2211yescharacteristic
139#16839996C2211yescharacteristic, complemented
140#16839989C2211yescharacteristic, complemented
141#16839987C2211yescharacteristic, complemented
142#16839982C2211yescharacteristic, complemented
143#16839981C2211yescharacteristic, complemented
144#16839979C2211yescharacteristic, complemented
145#16839976C2211yescharacteristic, complemented
146#16839975C2211yescharacteristic
147#16839975C2211yescharacteristic, complemented
148#16839961C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839924C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839913C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839892C2211yescharacteristic, complemented
155#16839886C2211yescharacteristic, complemented
156#16839874C2211yescharacteristic
157#16839874C2211yescharacteristic
158#16839866C2211yescharacteristic, complemented
159#16839859C2211yescharacteristic, complemented
160#16839853C2211yescharacteristic
161#16839853C2211yescharacteristic
162C4×#11758190C2211yescharacteristic, complemented
163SD16×Dic61C2211yescharacteristic, complemented
164C4×#11758200C2211yescharacteristic
165D8×Dic61C2211yescharacteristic, complemented
166C4×#11758199C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic
168#16839838C2211yescharacteristic, complemented
169#16839830C2211yescharacteristic
170#16839830C2211yescharacteristic, complemented
171D4×#92418C2211yescharacteristic, complemented
172#16839820C2211yescharacteristic, complemented
173#16839820C2211yescharacteristic, complemented
174#16839813C2211yescharacteristic, complemented
175#16839804C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839803C2211yescharacteristic, complemented
178#16839801C2211yescharacteristic, complemented
179#16839798C2211yescharacteristic, complemented
180C2×#14519710C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic, complemented
182#16839790C2211yescharacteristic, complemented
183#16839784C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839758C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#553C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#488C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#469C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C4×D8×C61C2211yescharacteristic
200C61×#436C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C61×#417C2211yescharacteristic
203C2×#11758224—21no—
204C22×C22⋊D61—21no—
205C2×D4×D61C2311yescharacteristic
206C22×C4×D61—21no—
207C2×#11758202C2311yescharacteristic
208C2×#11758190C2311yescharacteristic
209C2×#11758200C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758189C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C22×#92418C2311yescharacteristic
215C22×#92418C2311yescharacteristic
216#14519777—21no—
217#14519776—21no—
218#14519776—21no—
219#14519776C2311yescharacteristic
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519773C2311yescharacteristic
225#14519772—21no—
226#14519772—21no—
227#14519772—21no—
228#14519771—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770D411yescharacteristic
238#14519770D411yescharacteristic
239#14519769—21no—
240#14519769C2311yescharacteristic
241#14519769C2311yescharacteristic
242#14519768—21no—
243#14519768D411yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519766C2311yescharacteristic
254#14519764—21no—
255#14519764—21no—
256#14519764—21no—
257#14519764D411yescharacteristic
258#14519764C2311yescharacteristic
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519761—21no—
264#14519761—21no—
265#14519761—21no—
266#14519760—21no—
267#14519760—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519759—21no—
275#14519759—21no—
276#14519759D411yescharacteristic
277#14519759D411yescharacteristic
278#14519758—21no—
279#14519758—21no—
280#14519758—21no—
281#14519758—21no—
282#14519757—21no—
283#14519757D411yescharacteristic
284#14519757C2311yescharacteristic
285#14519756—21no—
286#14519756—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756C2311yescharacteristic
290#14519756C2311yescharacteristic
291#14519755—21no—
292#14519755—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519753C2311yescharacteristic
303#14519751C2311yescharacteristic
304#14519751C2311yescharacteristic
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519748—21no—
312#14519748D411yescharacteristic
313#14519748C2311yescharacteristic
314#14519748C2311yescharacteristic
315#14519746—21no—
316#14519745—21no—
317#14519745—21no—
318Q8×Dic61C2311yescharacteristic
319Q8×Dic61C2311yescharacteristic
320C4×Dic122—21no—
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323#14519742—21no—
324#14519742—21no—
325#14519742—21no—
326#14519742C2311yescharacteristic
327#14519742C2311yescharacteristic
328C4×D244C2311yescharacteristic
329D4×Dic61—21no—
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739C2311yescharacteristic
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61C2311yescharacteristic
345C4×C22⋊D61C2311yescharacteristic
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519736—21no—
351#14519736—21no—
352#14519736—21no—
353#14519736C2311yescharacteristic
354#14519736C2311yescharacteristic
355#14519736C2311yescharacteristic
356#14519736C2311yescharacteristic
357#14519735—21no—
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519733—21no—
361#14519733—21no—
362#14519733—21no—
363C2×C4⋊Dic61—21no—
364C2×C4⋊Dic61C2311yescharacteristic
365C2×C4⋊Dic61C2311yescharacteristic
366C2×#11758196—21no—
367C2×#11758196—21no—
368C4⋊C4×D61C2311yescharacteristic
369C2×C22⋊Dic61—21no—
370C2×C22⋊Dic61—21no—
371C2×#11758198—21no—
372C22⋊C4×D61—21no—
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C22×D4×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442#126×C61—21no—
443#125×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446#123×C61—21no—
447C22⋊Q8×C61C2311yescharacteristic
448#121×C61—21no—
449#121×C61—21no—
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454C4×D4×C61—21no—
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460C2×C22⋊C4×C61—21no—
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480#41×C61—22no—
481#41×C61—41no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—22no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—41no—
490C2×D4×C61C2×D411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61C2411yescharacteristic
499C22×C4×C61C2411yescharacteristic
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—82no—
508C2×C22⋊D61C2×D411yescharacteristic
509C2×C22⋊D61C2×D411yescharacteristic
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519#11758224—82no—
520D4×D61—22no—
521D4×D61—41no—
522C2×D244C2411yescharacteristic
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—82no—
527C2×C4×D61C2×D411yescharacteristic
528C2×C4×D61C2×D411yescharacteristic
529C2×C4×D61C2411yescharacteristic
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122C2×D411yescharacteristic
536C2×Dic122C2411yescharacteristic
537SD16×C61—41no—
538D8×C61—22no—
539D8×C61—41no—
540M16×C61—41no—
541M16×C61—41no—
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61C2×D411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61C2×D411yescharacteristic
565C22⋊C4×C61C2×D411yescharacteristic
566C42×C61—21no—
567C42×C61C2411yescharacteristic
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61C2×D411yescharacteristic
584C22⋊Dic61C2×D411yescharacteristic
585C22⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587C22⋊Dic61C2×D411yescharacteristic
588C22⋊Dic61C2×D411yescharacteristic
589#11758202—41no—
590#11758200—22no—
591#11758200—41no—
592#11758199—41no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C2×#92418—41no—
664C2×#92418—41no—
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669#11758190—41no—
670#11758189—41no—
671#11758189—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—42no—
676C23×C61—81no—
677C23×C61—81no—
678C23×C61C22×D411yescharacteristic
679C23×C61C22×D411yescharacteristic
680C22×D61—21no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—81no—
684C22×D61C22×D411yescharacteristic
685Q8×C61—21no—
686Q8×C61—21no—
687D4×C61—21no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—41no—
693D4×C61—42no—
694D4×C61—42no—
695D4×C61—81no—
696D4×C61—81no—
697D4×C61—81no—
698D4×C612−1+412yes—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—42no—
709C2×C4×C61—81no—
710C2×C4×C61—81no—
711C2×C4×C61—81no—
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C2511yescharacteristic
717C22⋊D61—41no—
718C22⋊D61—41no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—81no—
734C2×Dic61—81no—
735C2×Dic61—81no—
736C2×Dic61—81no—
737C2×Dic61—81no—
738C2×Dic61—81no—
739C2×Dic61—81no—
740C2×Dic61—81no—
741C2×Dic61—81no—
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749D244—21no—
750D244—21no—
751C4×D61—21no—
752C4×D61—21no—
753C4×D61—41no—
754C4×D61—41no—
755C4×D61—42no—
756C4×D61—81no—
757C4×D61—81no—
758Dic122—21no—
759Dic122—21no—
760Dic122—41no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62175—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—22no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—162no—
791C22×C61C23×D411yescharacteristic
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—84no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61C2×2−1+411yescharacteristic
809C4×C61#58511yescharacteristic
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824#3565—611no—
825#3513—611no—
826#3389—611no—
827#3381—611no—
828#3371—611no—
829#3361—611no—
830#3354—611no—
831#3351—611no—
832#3351—611no—
833#3349—611no—
834#3343—611no—
835#3339—611no—
836#3324—611no—
837#3323—611no—
838#3322D6111yescharacteristic, complemented
839#3319—611no—
840#3318—611no—
841#3296—611no—
842#3262—611no—
843#3257—611no—
844#3256—611no—
845#3244—611no—
846#3241—611no—
847#3233—611no—
848#3125—611no—
849#3118—611no—
850#3105—611no—
851#3083—611no—
852#3081—611no—
853#3077—611no—
854#2993—611no—
855C2×C61—42no—
856C2×C61—41no—
857C2×C61—41no—
858C2×C61—81no—
859C2×C61—81no—
860C2×C61#348911yescharacteristic
861C2×C61#358411yescharacteristic
862C2×C61#358511yescharacteristic
863D61—41no—
864D61—81no—
865#563—1221no—
866#562—1221no—
867#559—611no—
868#557—611no—
869#556—611no—
870#556—1221no—
871#555—611no—
872#554—611no—
873#554—611no—
874#553—611no—
875#553—611no—
876#553—1221no—
877#553C2×D6111yescharacteristic, complemented
878#552—611no—
879#552—611no—
880#552—611no—
881#552—1221no—
882#551—1221no—
883#551—1221no—
884#547—611no—
885#546—611no—
886#546—1221no—
887#546C2×D6111yescharacteristic
888D42—611no—
889#544—611no—
890#544—611no—
891#542—611no—
892#542—611no—
893#542—611no—
894#542—1221no—
895#542—1221no—
896#541—1221no—
897#540—611no—
898#539—1221no—
899#539—1221no—
900#538—1221no—
901#533—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#525—1221no—
906C2×#123—1221no—
907#520—611no—
908#518—611no—
909C2×C4×D4—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#499—611no—
915#498—611no—
916#490—611no—
917#489—611no—
918#488—611no—
919#488—611no—
920#488C2×D6111yescharacteristic, complemented
921#486—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#485C2×D6111yescharacteristic, complemented
926#484—611no—
927#483—611no—
928#483—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#481—611no—
936#481—611no—
937#481—611no—
938#481—611no—
939#480C2×D6111yescharacteristic, complemented
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478C2×D6111yescharacteristic
956#477—611no—
957#477—611no—
958#477—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#470—611no—
971#469—611no—
972#469C2×D6111yescharacteristic, complemented
973#468—611no—
974#468—611no—
975#468—611no—
976#468—611no—
977#468C2×D6111yescharacteristic, complemented
978#467—611no—
979#466—611no—
980#466—611no—
981#465—611no—
982#464—611no—
983#464—611no—
984#464—611no—
985#463—611no—
986#463—611no—
987#463—611no—
988#463—611no—
989#463C2×D6111yescharacteristic, complemented
990#460—611no—
991#459—611no—
992#452—611no—
993#450—611no—
994#450—611no—
995#449C2×D6111yescharacteristic
996#447—611no—
997#447C2×D6111yescharacteristic
998#446—611no—
999C8×Q8—611no—
1000#442—611no—
1001#442—611no—
1002#441—611no—
1003#440—611no—
1004C4×SD16—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×D8—611no—
1010C4×D8—611no—
1011C4×D8C2×D6111yescharacteristic
1012#436—611no—
1013#436—611no—
1014#436C2×D6111yescharacteristic, complemented
1015#435—611no—
1016#435—611no—
1017C8×D4—611no—
1018#433—611no—
1019#433—611no—
1020#431—611no—
1021#428—611no—
1022#428—611no—
1023#428—611no—
1024#428—611no—
1025#427—611no—
1026C2×#107—611no—
1027#424—611no—
1028#424—611no—
1029#423—611no—
1030#418—611no—
1031#418—611no—
1032#418C2×D6111yescharacteristic
1033#417C2×D6111yescharacteristic
1034#416—611no—
1035C2×#102—611no—
1036C61#6217511yescharacteristic, complemented, Sylow
1037C2×#41—1221no—
1038C2×#41C22×D6111yescharacteristic
1039C22×D4—611no—
1040C22×D4—1221no—
1041C22×D4C22×D6111yescharacteristic
1042C23×C4—1221no—
1043C2×Q16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16—611no—
1047C2×SD16C22×D6111yescharacteristic
1048C2×D8—611no—
1049C2×D8C22×D6111yescharacteristic
1050C2×D8C22×D6111yescharacteristic
1051C2×M16—611no—
1052C2×M16—611no—
1053C2×M16C22×D6111yescharacteristic
1054C2×M16C22×D6111yescharacteristic
1055C22×C8—611no—
1056C22×C8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065#127—611no—
1066#126—21no—
1067#126—611no—
1068#126—611no—
1069#126—1221no—
1070#126—1221no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#125—611no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—1221no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125C22×D6111yescharacteristic
1096#124—611no—
1097#124—611no—
1098#124—611no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—611no—
1110#123—611no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—611no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8C22×D6111yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121C22×D6111yescharacteristic
1165#121C22×D6111yescharacteristic
1166#121C22×D6111yescharacteristic
1167#120—21no—
1168#120—1221no—
1169#120—1221no—
1170#120—1221no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—611no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8—1221no—
1181C4×D4—21no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—1221no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4C22×D6111yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1221no—
1230C2×C22⋊C4—1221no—
1231C2×C22⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C42—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107C22×D6111yescharacteristic
1245#107C22×D6111yescharacteristic
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106C22×D6111yescharacteristic
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8C22×D6111yescharacteristic
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#103C22×D6111yescharacteristic
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102C22×D6111yescharacteristic
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299#102C22×D6111yescharacteristic
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304C22⋊C8C22×D6111yescharacteristic
1305C22⋊C8C22×D6111yescharacteristic
1306#97—611no—
1307#97—611no—
1308C4×C8—611no—
1309C4×C8—611no—
1310C4×C8—611no—
1311C4×C8C22×D6111yescharacteristic
1312C24—21no—
1313C24—1221no—
1314#41—22no—
1315#41—41no—
1316#41—4882no—
1317C2×Q8—611no—
1318C2×Q8—611no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8C23×D6111yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—41no—
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1222no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—4882no—
1344C2×D4—2441no—
1345C2×D4D4×D6111yescharacteristic
1346C2×D4C23×D6111yescharacteristic
1347C2×D4C23×D6111yescharacteristic
1348C2×D4C23×D6111yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—4882no—
1369C22×C4C23×D6111yescharacteristic
1370C22×C4C23×D6111yescharacteristic
1371Q16—2441no—
1372SD16—41no—
1373SD16—1222no—
1374SD16—2441no—
1375SD16—2441no—
1376D8—22no—
1377D8—41no—
1378D8—2441no—
1379M16—41no—
1380M16—41no—
1381M16—2441no—
1382M16—2441no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8C23×D6111yescharacteristic
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4D4×D6111yescharacteristic
1489C22⋊C4D4×D6111yescharacteristic
1490C42—21no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—81no—
1511C23—81no—
1512C23—611no—
1513C23—1221no—
1514C23—4881no—
1515C23—2442no—
1516C23—2442no—
1517C23C2×D4×D6111yescharacteristic
1518C23C2×D4×D6111yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—1221no—
1522Q8—1221no—
1523Q8—4881no—
1524Q8—4881no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—4881no—
1528Q8—2441no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—41no—
1535D4—42no—
1536D4—42no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—1221no—
1541D4—1221no—
1542D4—4881no—
1543D4—4881no—
1544D4—4881no—
1545D4—4881no—
1546D4—4881no—
1547D4—2441no—
1548D4—2441no—
1549D4—2442no—
1550D4—2442no—
1551D4#1451982412yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—2441no—
1593C2×C4—2441no—
1594C2×C4—2442no—
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C24×D6111yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—162no—
1624C22—1221no—
1625C22—1221no—
1626C22—1221no—
1627C22—4884no—
1628C22—2441no—
1629C22—2441no—
1630C22—2441no—
1631C22C22×D4×D6111yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4C2×#1451982411yescharacteristic
1656C4#1684059711yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—4881no—
1663C2—2441no—
1664C2#2145949011yescharacteristic
1665C2#2146059211yescharacteristic
1666C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3322C2
socleC22×C61C23×D4
hypercenter#3322D61
hypocenterC61#62175
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #21460454C2semidirect
2. #21459748C2semidirect
3. #21458775C2semidirect
4. #21458689C2semidirect
5. #21458593C2semidirect
6. #21458474C2semidirect
7. #21458409C2semidirect
8. #21458381C2semidirect
9. #21458374C2semidirect
10. #21458347C2semidirect
11. #21458263C2semidirect
12. #21458215C2semidirect
13. #21458046C2semidirect
14. #21458036C2semidirect
15. #21457979C2semidirect
16. #21457964C2semidirect
17. #21457654C2semidirect
18. #21457276C2semidirect
19. #21457231C2semidirect
20. #21457217C2semidirect
21. #21457123C2semidirect
22. #21457068C2semidirect
23. #21456993C2semidirect
24. #21456097C2semidirect
25. #21455996C2semidirect
26. #21455864C2semidirect
27. #21455674C2semidirect
28. #21455652C2semidirect
29. #21455614C2semidirect
30. #21454963C2semidirect
31. C61×#3322C2semidirect
35. #16840489C22semidirect
38. #16840476C22semidirect
40. #16840471C22semidirect
44. #16840452C22semidirect
46. #16840447C22semidirect
54. #16840393C22semidirect
55. #16840390C22semidirect
59. #16840379C22semidirect
60. #16840379C22semidirect
66. #16840318C22semidirect
68. #16840294C22semidirect
75. #16840170C22semidirect
76. #16840170C22semidirect
77. #16840164C22semidirect
78. #16840163C22semidirect
79. #16840161C22semidirect
80. #16840159C22semidirect
82. #16840123C22semidirect
83. #16840118C22semidirect
84. #16840116C22semidirect
86. #16840104C22semidirect
87. #16840102C22semidirect
88. #16840101C22semidirect
89. #16840099C22semidirect
90. #16840093C22semidirect
91. #16840090C22semidirect
92. #16840087C22semidirect
96. #16840083C22semidirect
97. #16840083C22semidirect
99. #16840080C22semidirect
100. #16840079C22semidirect
101. #16840078C22semidirect
102. #16840072C22semidirect
103. #16840070C22semidirect
104. #16840067C22semidirect
105. #16840067C22semidirect
106. #16840065C22semidirect
109. #16840064C22semidirect
110. #16840063C22semidirect
112. #16840062C22semidirect
114. #16840060C22semidirect
115. #16840060C22semidirect
116. #16840059C22semidirect
117. #16840056C22semidirect
118. #16840055C22semidirect
119. #16840055C22semidirect
120. #16840051C22semidirect
122. #16840050C22semidirect
123. #16840050C22semidirect
124. #16840045C22semidirect
125. #16840041C22semidirect
129. #16840040C22semidirect
130. #16840040C22semidirect
131. #16840019C22semidirect
134. #16840008C22semidirect
136. #16840005C22semidirect
137. #16840001C22semidirect
139. #16839996C22semidirect
140. #16839989C22semidirect
141. #16839987C22semidirect
142. #16839982C22semidirect
143. #16839981C22semidirect
144. #16839979C22semidirect
145. #16839976C22semidirect
147. #16839975C22semidirect
154. #16839892C22semidirect
155. #16839886C22semidirect
158. #16839866C22semidirect
159. #16839859C22semidirect
162. C4×#11758190C22semidirect
163. SD16×Dic61C22semidirect
165. D8×Dic61C22semidirect
166. C4×#11758199C22semidirect
168. #16839838C22semidirect
170. #16839830C22semidirect
171. D4×#92418C22semidirect
172. #16839820C22semidirect
173. #16839820C22semidirect
174. #16839813C22semidirect
175. #16839804C22semidirect
176. #16839804C22semidirect
177. #16839803C22semidirect
178. #16839801C22semidirect
179. #16839798C22semidirect
180. C2×#14519710C22semidirect
181. #16839790C22semidirect
182. #16839790C22semidirect
183. #16839784C22semidirect
188. C61×#553C22semidirect
190. C61×#488C22semidirect
191. C61×#485C22semidirect
192. C61×#480C22semidirect
194. C61×#469C22semidirect
195. C61×#468C22semidirect
196. C61×#463C22semidirect
200. C61×#436C22semidirect
838. #3322D61semidirect
877. #553C2×D61semidirect
920. #488C2×D61semidirect
925. #485C2×D61semidirect
939. #480C2×D61semidirect
972. #469C2×D61semidirect
977. #468C2×D61semidirect
989. #463C2×D61semidirect
1014. #436C2×D61semidirect
1036. C61#62175semidirect

Maximal subgroups

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

subgroupindex
#214604542
#214597482
#214587752
#214586892
#214585932
#214584742
#214584092
#214583812
#214583742
#214583472
#214582632
#214582152
#214580462
#214580362
#214579792
#214579642
#214576542
#214572762
#214572312
#214572172
#214571232
#214570682
#214569932
#214560972
#214559962
#214558642
#214556742
#214556522
#214556142
#214549632
C61×#33222
#6217561