Finite Group Databasebeta

← #30563045

Subgroups — #30563045

Order 15616.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459920C211yesmaximal, characteristic, complemented
2#21459893C211yesmaximal, characteristic, complemented
3#21458892C211yesmaximal, characteristic, complemented
4#21458767C211yesmaximal, characteristic, complemented
5#21458508C211yesmaximal, characteristic, complemented
6#21458482C211yesmaximal, characteristic, complemented
7#21458382C211yesmaximal, characteristic, complemented
8#21458342C211yesmaximal, characteristic, complemented
9#21458316C211yesmaximal, characteristic, complemented
10#21457751C211yesmaximal, characteristic, complemented
11#21457750C211yesmaximal, characteristic, complemented
12#21457718C211yesmaximal, characteristic, complemented
13#21457699C211yesmaximal, characteristic, complemented
14#21457667C211yesmaximal, characteristic, complemented
15#21457652C211yesmaximal, characteristic, complemented
16#21457443C211yesmaximal, characteristic, complemented
17#21457369C211yesmaximal, characteristic, complemented
18#21457362C211yesmaximal, characteristic, complemented
19#21456500C211yesmaximal, characteristic, complemented
20#21456489C211yesmaximal, characteristic, complemented
21#21456385C211yesmaximal, characteristic, complemented
22#21456054C211yesmaximal, characteristic, complemented
23#21456024C211yesmaximal, characteristic, complemented
24#21456005C211yesmaximal, characteristic, complemented
25#21455934C211yesmaximal, characteristic, complemented
26#21455926C211yesmaximal, characteristic, complemented
27#21454792C211yesmaximal, characteristic, complemented
28#21454661C211yesmaximal, characteristic, complemented
29#21454647C211yesmaximal, characteristic, complemented
30C4×#14519800C211yesmaximal, characteristic, complemented
31C61×#3120C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519802C2211yescharacteristic
34C2×#14519800C2211yescharacteristic
35#16840495—21no—
36#16840495C2211yescharacteristic, complemented
37#16840491C2211yescharacteristic, complemented
38#16840486C2211yescharacteristic
39#16840483C2211yescharacteristic
40#16840477—21no—
41#16840477C2211yescharacteristic, complemented
42#16840468C2211yescharacteristic
43#16840465—21no—
44#16840465C2211yescharacteristic
45#16840460—21no—
46#16840460C2211yescharacteristic
47#16840447—21no—
48#16840447C2211yescharacteristic
49#16840446C2211yescharacteristic
50#16840444—21no—
51#16840437—21no—
52#16840437—21no—
53#16840431C2211yescharacteristic
54#16840424C2211yescharacteristic, complemented
55#16840419C2211yescharacteristic
56#16840415C2211yescharacteristic
57#16840403C2211yescharacteristic
58#16840403C2211yescharacteristic
59#16840384C2211yescharacteristic
60#16840383—21no—
61#16840383C2211yescharacteristic
62#16840363—21no—
63#16840363C2211yescharacteristic, complemented
64#16840360—21no—
65#16840351—21no—
66#16840299C2211yescharacteristic
67#16840297—21no—
68#16840294—21no—
69#16840294C2211yescharacteristic, complemented
70#16840290—21no—
71#16840290C2211yescharacteristic
72#126×D61—21no—
73#16840244C2211yescharacteristic
74#16840238C2211yescharacteristic, complemented
75#16840236C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×#11758226C2211yescharacteristic, complemented
78#16840172C2211yescharacteristic, complemented
79#16840170C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840154C2211yescharacteristic, complemented
82#16840148C2211yescharacteristic
83#16840143C2211yescharacteristic
84#16840119C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic
86#16840118C2211yescharacteristic
87#16840115C2211yescharacteristic, complemented
88#16840112C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic, complemented
90#16840105C2211yescharacteristic, complemented
91#16840104C2211yescharacteristic
92#16840101C2211yescharacteristic, complemented
93#16840101C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic
95#16840088C2211yescharacteristic
96#16840087C2211yescharacteristic
97#16840084C2211yescharacteristic, complemented
98#16840082C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840071C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840067C2211yescharacteristic, complemented
103#16840065C2211yescharacteristic
104#16840061C2211yescharacteristic
105#16840061C2211yescharacteristic, complemented
106#16840056C2211yescharacteristic, complemented
107#16840053C2211yescharacteristic
108#16840045C2211yescharacteristic, complemented
109#16840043C2211yescharacteristic
110#16840018C2211yescharacteristic
111#16840014C2211yescharacteristic
112#16840011C2211yescharacteristic, complemented
113#16840010C2211yescharacteristic
114#16840002C2211yescharacteristic, complemented
115#16840001C2211yescharacteristic
116#16839999C2211yescharacteristic
117#16839997C2211yescharacteristic
118#16839993C2211yescharacteristic
119#16839992C2211yescharacteristic
120#16839988C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839987C2211yescharacteristic
123#16839986C2211yescharacteristic
124#16839986C2211yescharacteristic
125#16839982C2211yescharacteristic, complemented
126#16839980C2211yescharacteristic
127#16839978C2211yescharacteristic
128#16839978C2211yescharacteristic
129#16839976C2211yescharacteristic
130#16839960C2211yescharacteristic, complemented
131#16839956C2211yescharacteristic
132#16839927C2211yescharacteristic
133#16839923C2211yescharacteristic, complemented
134#16839916C2211yescharacteristic, complemented
135#16839915C2211yescharacteristic
136#16839910C2211yescharacteristic
137#16839910C2211yescharacteristic
138#16839906C2211yescharacteristic
139#16839906C2211yescharacteristic
140#16839902C2211yescharacteristic
141#16839898C2211yescharacteristic
142#16839891C2211yescharacteristic, complemented
143#16839886C2211yescharacteristic, complemented
144#16839875C2211yescharacteristic
145#16839872C2211yescharacteristic
146#16839872C2211yescharacteristic
147#16839867C2211yescharacteristic, complemented
148#16839866C2211yescharacteristic, complemented
149#16839865C2211yescharacteristic
150#16839864C2211yescharacteristic
151#16839860C2211yescharacteristic
152#16839860C2211yescharacteristic
153#16839860C2211yescharacteristic, complemented
154Q16×Dic61C2211yescharacteristic, complemented
155Q16×Dic61C2211yescharacteristic, complemented
156C4×#11758202C2211yescharacteristic, complemented
157C4×#11758190C2211yescharacteristic
158C4×#11758201C2211yescharacteristic
159C4×#11758201C2211yescharacteristic
160C4×#11758201C2211yescharacteristic, complemented
161#16839849C2211yescharacteristic
162#16839847C2211yescharacteristic
163#16839847C2211yescharacteristic, complemented
164C4×D488C2211yescharacteristic
165#16839844C2211yescharacteristic
166C4×#11758199C2211yescharacteristic
167C4×#11758199C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839836C2211yescharacteristic
170#16839832C2211yescharacteristic, complemented
171#16839827C2211yescharacteristic, complemented
172#16839825C2211yescharacteristic
173#16839825C2211yescharacteristic
174#16839821C2211yescharacteristic, complemented
175#16839817C2211yescharacteristic, complemented
176#16839802C2211yescharacteristic
177#16839801C2211yescharacteristic, complemented
178#16839799C2211yescharacteristic, complemented
179#16839758C2211yescharacteristic
180#16839757C2211yescharacteristic
181#16839757C2211yescharacteristic
182#16839757C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic, complemented
184C2×#14519697C2211yescharacteristic
185#16839719C2211yescharacteristic, complemented
186#16839718C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#541C2211yescharacteristic
189C61×#520C2211yescharacteristic
190C61×#484C2211yescharacteristic
191C61×#483C2211yescharacteristic
192C61×#479C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#462C2211yescharacteristic, complemented
195C61×#461C2211yescharacteristic, complemented
196C61×#452C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#441C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×Q16×C61C2211yescharacteristic, complemented
201C4×SD16×C61C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C22×D244C2311yescharacteristic
208#14519809—24no—
209#14519802—24no—
210#14519800—24no—
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×D488C2311yescharacteristic
220C2×D488C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758194C2311yescharacteristic
224C2×#11758189C2311yescharacteristic
225C22×#92418C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228C2×C8×D61C2311yescharacteristic
229#14519777—21no—
230#14519777C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519773—21no—
233#14519773C2311yescharacteristic
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772D411yescharacteristic
243#14519771—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770D411yescharacteristic
248#14519768—21no—
249#14519768—21no—
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767D411yescharacteristic
256#14519766C2311yescharacteristic
257#14519766C2311yescharacteristic
258#14519765—21no—
259#14519765—21no—
260#14519765C2311yescharacteristic
261#14519764—21no—
262#14519764C2311yescharacteristic
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519763D411yescharacteristic
269#14519762—21no—
270#14519762—21no—
271#14519762—21no—
272#14519762—21no—
273#14519762—21no—
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762D411yescharacteristic
278#14519760—21no—
279#14519760—21no—
280#14519760—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759D411yescharacteristic
287#14519757—21no—
288#14519757—21no—
289#14519757—21no—
290#14519757C2311yescharacteristic
291#14519756—21no—
292#14519756C2311yescharacteristic
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755D411yescharacteristic
298#14519753C2311yescharacteristic
299#14519753C2311yescharacteristic
300#14519752—21no—
301#14519752—21no—
302#14519752—21no—
303#14519752—21no—
304#14519752—21no—
305#14519752C2311yescharacteristic
306#14519752C2311yescharacteristic
307#14519752C2311yescharacteristic
308#14519751—21no—
309#14519751—21no—
310#14519751—21no—
311#14519751—21no—
312#14519751C2311yescharacteristic
313#14519750—21no—
314#14519750D411yescharacteristic
315#14519748—21no—
316#14519748—21no—
317#14519748C2311yescharacteristic
318#14519748C2311yescharacteristic
319#14519747—21no—
320#14519747—21no—
321Q8×Dic61C2311yescharacteristic
322Q8×Dic61C2311yescharacteristic
323Q8×Dic61C2311yescharacteristic
324Q8×Dic61C2311yescharacteristic
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329#14519742—21no—
330#14519742—21no—
331#14519742C2311yescharacteristic
332C4×D244—21no—
333C4×D244—21no—
334C4×D244—21no—
335C4×D244—21no—
336C4×D244—21no—
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340C4×D244C2311yescharacteristic
341C4×D244C2311yescharacteristic
342C4×D244C2311yescharacteristic
343#14519739—21no—
344#14519739—21no—
345#14519739—21no—
346#14519739—21no—
347#14519739—21no—
348#14519739—21no—
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352C4×C22⋊D61—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61C2311yescharacteristic
358C4×C22⋊D61C2311yescharacteristic
359#14519736—21no—
360#14519736—21no—
361#14519736—21no—
362#14519736C2311yescharacteristic
363#14519735—21no—
364#14519735—21no—
365#14519735—21no—
366#14519735—21no—
367#14519735—21no—
368#14519735C2311yescharacteristic
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519734—21no—
372#14519734—21no—
373#14519734—21no—
374#14519734C2311yescharacteristic
375C4⋊C4×D61—21no—
376C4⋊C4×D61—21no—
377C4⋊C4×D61—21no—
378C4⋊C4×D61C2311yescharacteristic
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C42×D61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×#41×C61C2311yescharacteristic
439C2×Q16×C61C2311yescharacteristic
440C2×Q16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444#126×C61—21no—
445#126×C61—21no—
446#125×C61—21no—
447#125×C61—21no—
448#125×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450C22⋊Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61—21no—
460#117×C61C2311yescharacteristic
461C2×C4⋊C4×C61—21no—
462C2×C4⋊C4×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482#41×C61—22no—
483#41×C61—41no—
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×Q8×C61C2411yescharacteristic
487C2×D4×C61—21no—
488C2×D4×C61C2411yescharacteristic
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61C2411yescharacteristic
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61C2×D411yescharacteristic
500C2×C22⋊D61C2×D411yescharacteristic
501#11758226—22no—
502#11758226—22no—
503#11758226—22no—
504#11758226—41no—
505#11758226—41no—
506#11758226—41no—
507Q8×D61—22no—
508Q8×D61—41no—
509C2×D244—22no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—41no—
518C2×D244C2×D411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544Q16×C61—22no—
545Q16×C61—22no—
546SD16×C61—41no—
547SD16×C61—41no—
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61C2×D411yescharacteristic
574C22⋊C4×C61C2×D411yescharacteristic
575C42×C61—21no—
576C42×C61—21no—
577C42×C61—21no—
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C42×C61C2411yescharacteristic
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61C2×D411yescharacteristic
588C22⋊Dic61C2×D411yescharacteristic
589#11758202—22no—
590#11758202—41no—
591#11758201—22no—
592#11758201—22no—
593#11758201—41no—
594#11758201#4114yes—
595#11758199—22no—
596#11758199—22no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624#11758198C2×D411yescharacteristic
625#11758198C2×D411yescharacteristic
626#11758198C2×D411yescharacteristic
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61—21no—
635C4⋊Dic61—21no—
636C4⋊Dic61C2×D411yescharacteristic
637C4⋊Dic61C2×D411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639C4⋊Dic61C2411yescharacteristic
640C4⋊Dic61C2411yescharacteristic
641C4⋊Dic61C2411yescharacteristic
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61C2×D411yescharacteristic
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2411yescharacteristic
671C4×Dic61C2411yescharacteristic
672#11758194—22no—
673C2×#92418—41no—
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678D488—22no—
679D488—41no—
680#11758190—22no—
681#11758190—41no—
682#11758189—22no—
683C8×D61—22no—
684C8×D61—41no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61C22×D411yescharacteristic
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—42no—
692C22×D61—81no—
693C22×D61—81no—
694C22×D61C22×D411yescharacteristic
695C22×D61C22×D411yescharacteristic
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61C2×#4112yes—
702D4×C61—21no—
703D4×C61—21no—
704D4×C61—42no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—42no—
715C2×C4×C61—81no—
716C2×C4×C61—81no—
717C2×C4×C61—81no—
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C2511yescharacteristic
724C22⋊D61—41no—
725C22⋊D61—41no—
726C22⋊D61—81no—
727C22⋊D61—81no—
728C22⋊D61—81no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742D244—21no—
743D244—21no—
744D244—21no—
745D244—21no—
746D244—21no—
747D244—41no—
748D244—42no—
749D244—42no—
750D244—42no—
751D244—42no—
752D244—81no—
753D244—81no—
754D244—81no—
755D244C2×#4112yes—
756C4×D61—21no—
757C4×D61—21no—
758C4×D61—21no—
759C4×D61—21no—
760C4×D61—41no—
761C4×D61—41no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—42no—
765C4×D61—42no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770C4×D61—81no—
771C4×D61—81no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775Dic122—21no—
776Dic122—21no—
777Dic122—41no—
778Dic122—42no—
779Dic122—81no—
780Dic122—81no—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418C2×#4112yes—
789#61500—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61C23×D411yescharacteristic
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—22no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—162no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—22no—
818C4×C61—21no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61—41no—
824C4×C61—41no—
825C4×C61C22×#4111yescharacteristic
826C4×C61#58511yescharacteristic
827Dic61—21no—
828Dic61—21no—
829Dic61—21no—
830Dic61—21no—
831Dic61—21no—
832Dic61—21no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838#3524—611no—
839#3521—611no—
840#3401—611no—
841#3388—611no—
842#3364—611no—
843#3361—611no—
844#3351—611no—
845#3349—611no—
846#3347—611no—
847#3304—611no—
848#3303—611no—
849#3301—611no—
850#3300—611no—
851#3297—611no—
852#3296—611no—
853#3275—611no—
854#3269—611no—
855#3268—611no—
856#3179—611no—
857#3178—611no—
858#3168—611no—
859#3121—611no—
860#3120D6111yescharacteristic, complemented
861#3119—611no—
862#3118—611no—
863#3111—611no—
864#3111—611no—
865#2966—611no—
866#2947—611no—
867#2946—611no—
868C4×#135—611no—
869C2×C61—41no—
870C2×C61—81no—
871C2×C61D4×#4111yescharacteristic
872C2×C61#358411yescharacteristic
873C2×C61#358411yescharacteristic
874D61—41no—
875D61—41no—
876D61—42no—
877D61—81no—
878D61—81no—
879C2×#137—611no—
880C2×AGL(1,ℤ/8)—611no—
881C2×#135—611no—
882#559—611no—
883#559—1221no—
884#557—611no—
885#556—611no—
886#556—611no—
887#555—611no—
888#555—1221no—
889#554—611no—
890#553—611no—
891#553—611no—
892#553—1221no—
893#553—1221no—
894#552—611no—
895#552—611no—
896#552—1221no—
897#552—1221no—
898#551—1221no—
899#551—1221no—
900#550—611no—
901#548—611no—
902#548—611no—
903#547—611no—
904#546—611no—
905#546—611no—
906#542—611no—
907#542—611no—
908#542—1221no—
909#541C2×D6111yescharacteristic
910#540—611no—
911#540—1221no—
912#539—1221no—
913#538—1221no—
914#529—611no—
915#529—611no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#529—1221no—
920C2×#126—1221no—
921#520—611no—
922#520C2×D6111yescharacteristic
923#519—611no—
924#518—611no—
925C4×#41—611no—
926C4×#41—611no—
927#501—611no—
928#501—611no—
929#499—611no—
930#497—611no—
931#496—611no—
932#495—611no—
933#488—611no—
934#488—611no—
935#488—611no—
936#488—611no—
937#487—611no—
938#486—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#485—611no—
943#484C2×D6111yescharacteristic
944#483C2×D6111yescharacteristic
945#482—611no—
946#482—611no—
947#482—611no—
948#482—611no—
949#481—611no—
950#480—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479C2×D6111yescharacteristic, complemented
955#478—611no—
956#478—611no—
957#478—611no—
958#478C2×D6111yescharacteristic, complemented
959#477—611no—
960#476—611no—
961#475—611no—
962#474—611no—
963#470—611no—
964#469—611no—
965#468—611no—
966#468—611no—
967#467—611no—
968#467—611no—
969#466—611no—
970#466—611no—
971#465—611no—
972#465—611no—
973#465—611no—
974#465—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#462C2×D6111yescharacteristic, complemented
984#461C2×D6111yescharacteristic, complemented
985#460—611no—
986#459—611no—
987#452—611no—
988#452—611no—
989#452C2×D6111yescharacteristic
990#452C2×D6111yescharacteristic
991#451—611no—
992#450—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#449—611no—
997#448—611no—
998#447—611no—
999#446—611no—
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442—611no—
1004#441—611no—
1005#441—611no—
1006#441C2×D6111yescharacteristic, complemented
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440C2×D6111yescharacteristic, complemented
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16C2×D6111yescharacteristic, complemented
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16C2×D6111yescharacteristic, complemented
1025C4×D8—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8—611no—
1029#436—611no—
1030#435—611no—
1031#435—611no—
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035#433—611no—
1036#433C2×D6111yescharacteristic
1037#432—611no—
1038#428—611no—
1039#428—611no—
1040#427—611no—
1041#416—611no—
1042#416—611no—
1043#416—611no—
1044#416—611no—
1045C2×#103—611no—
1046C2×#102—611no—
1047#405—611no—
1048#405—611no—
1049C2×C4×C8—611no—
1050C61#6150011yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41—611no—
1054C2×#41C22×D6111yescharacteristic
1055C22×Q8—611no—
1056C22×D4—611no—
1057#137—1224no—
1058AGL(1,ℤ/8)—1224no—
1059#135—1224no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16C22×D6111yescharacteristic
1063C2×Q16C22×D6111yescharacteristic
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16C22×D6111yescharacteristic
1071C2×SD16C22×D6111yescharacteristic
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×M16—611no—
1077C2×M16—611no—
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8—611no—
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—1221no—
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—611no—
1087#127—1221no—
1088#126—21no—
1089#126—21no—
1090#126—611no—
1091#126—611no—
1092#126—1221no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#125—21no—
1105#125—21no—
1106#125—611no—
1107#125—611no—
1108#125—611no—
1109#125—611no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125C22×D6111yescharacteristic
1115#124—611no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124—1221no—
1128#123—611no—
1129#123—611no—
1130#123—1221no—
1131#123—1221no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145#123—1221no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8C22×D6111yescharacteristic
1160C22⋊Q8C22×D6111yescharacteristic
1161#121—611no—
1162#121—611no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—611no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#120—1221no—
1181#120—1221no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—1221no—
1190C4×Q8—1221no—
1191C4×Q8—1221no—
1192C4×Q8—1221no—
1193C4×Q8C22×D6111yescharacteristic
1194C4×Q8C22×D6111yescharacteristic
1195C4×Q8C22×D6111yescharacteristic
1196C4×Q8C22×D6111yescharacteristic
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—611no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4C22×D6111yescharacteristic
1227C4×D4C22×D6111yescharacteristic
1228#117—21no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117C22×D6111yescharacteristic
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4—1221no—
1253C2×C22⋊C4—1221no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258C2×C42—1221no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107C22×D6111yescharacteristic
1266#107C22×D6111yescharacteristic
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106C22×D6111yescharacteristic
1274#106C22×D6111yescharacteristic
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8C22×D6111yescharacteristic
1280C4⋊C8C22×D6111yescharacteristic
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103C22×D6111yescharacteristic
1292#103C22×D6111yescharacteristic
1293#103C22×D6111yescharacteristic
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8C22×D6111yescharacteristic
1318C22⋊C8C22×D6111yescharacteristic
1319#97—611no—
1320#97—611no—
1321#97—611no—
1322#97C22×D6111yescharacteristic
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8C22×D6111yescharacteristic
1329C24—1221no—
1330#41—22no—
1331#41—41no—
1332#41—1222no—
1333#41—1222no—
1334#41—1222no—
1335#41—2441no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—611no—
1339C2×Q8—611no—
1340C2×Q8—1221no—
1341C2×Q8—1221no—
1342C2×Q8—1221no—
1343C2×Q8—1222no—
1344C2×Q8—2441no—
1345C2×Q8C23×D6111yescharacteristic
1346C2×Q8C23×D6111yescharacteristic
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—21no—
1349C2×D4—611no—
1350C2×D4—611no—
1351C2×D4—611no—
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—611no—
1355C2×D4—1222no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—2441no—
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4C23×D6111yescharacteristic
1392Q16—22no—
1393Q16—22no—
1394Q16—1222no—
1395Q16—2441no—
1396SD16—41no—
1397SD16—41no—
1398SD16—614no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—1222no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—1222no—
1405D8—1222no—
1406D8—1222no—
1407D8—2441no—
1408M16—1222no—
1409M16—1222no—
1410C2×C8—611no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—1222no—
1415C2×C8—2441no—
1416C2×C8—2441no—
1417C2×C8—2441no—
1418C2×C8C23×D6111yescharacteristic
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4D4×D6111yescharacteristic
1465C4⋊C4D4×D6111yescharacteristic
1466C4⋊C4C23×D6111yescharacteristic
1467C4⋊C4C23×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—611no—
1475C22⋊C4—611no—
1476C22⋊C4—611no—
1477C22⋊C4—611no—
1478C22⋊C4—611no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—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⋊C4D4×D6111yescharacteristic
1513C22⋊C4D4×D6111yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—611no—
1536C23—611no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—4881no—
1541C23—4881no—
1542C23—2442no—
1543C23C2×D4×D6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—1221no—
1550Q8—1221no—
1551Q8—4881no—
1552Q8—4881no—
1553Q8—2441no—
1554Q8—2442no—
1555Q8#41×D6112yes—
1556D4—21no—
1557D4—21no—
1558D4—42no—
1559D4—612no—
1560D4—1221no—
1561D4—1221no—
1562D4—1221no—
1563D4—1221no—
1564D4—1221no—
1565D4—4881no—
1566D4—4881no—
1567D4—4881no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—4881no—
1573D4—2441no—
1574D4—2442no—
1575D4—2442no—
1576D4—2442no—
1577D4—2442no—
1578D4—2441no—
1579D4—2441no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—42no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—4881no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—4881no—
1617C2×C4—2441no—
1618C2×C4—2441no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4C2×D4×D6111yescharacteristic
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—612no—
1634C8—1221no—
1635C8—1221no—
1636C8—1221no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—1221no—
1644C22—1221no—
1645C22—1222no—
1646C22—1221no—
1647C22—1221no—
1648C22—1221no—
1649C22—1221no—
1650C22—9762no—
1651C22—2441no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22C22×D4×D6111yescharacteristic
1660C4—21no—
1661C4—22no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—1221no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—1221no—
1677C4—1221no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059811yescharacteristic
1685C2—41no—
1686C2—81no—
1687C2—4881no—
1688C2—4881no—
1689C2—2441no—
1690C2—2441no—
1691C2—2442no—
1692C2#2145930211yescharacteristic
1693C2#2146058911yescharacteristic
1694C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3120C2
socleC22×C61C23×D4
hypercenter#3120D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #21459920C2semidirect
2. #21459893C2semidirect
3. #21458892C2semidirect
4. #21458767C2semidirect
5. #21458508C2semidirect
6. #21458482C2semidirect
7. #21458382C2semidirect
8. #21458342C2semidirect
9. #21458316C2semidirect
10. #21457751C2semidirect
11. #21457750C2semidirect
12. #21457718C2semidirect
13. #21457699C2semidirect
14. #21457667C2semidirect
15. #21457652C2semidirect
16. #21457443C2semidirect
17. #21457369C2semidirect
18. #21457362C2semidirect
19. #21456500C2semidirect
20. #21456489C2semidirect
21. #21456385C2semidirect
22. #21456054C2semidirect
23. #21456024C2semidirect
24. #21456005C2semidirect
25. #21455934C2semidirect
26. #21455926C2semidirect
27. #21454792C2semidirect
28. #21454661C2semidirect
29. #21454647C2semidirect
30. C4×#14519800C2semidirect
31. C61×#3120C2semidirect
36. #16840495C22semidirect
37. #16840491C22semidirect
41. #16840477C22semidirect
54. #16840424C22semidirect
63. #16840363C22semidirect
69. #16840294C22semidirect
74. #16840238C22semidirect
77. C4×#11758226C22semidirect
78. #16840172C22semidirect
79. #16840170C22semidirect
80. #16840162C22semidirect
81. #16840154C22semidirect
84. #16840119C22semidirect
87. #16840115C22semidirect
88. #16840112C22semidirect
89. #16840107C22semidirect
90. #16840105C22semidirect
92. #16840101C22semidirect
93. #16840101C22semidirect
97. #16840084C22semidirect
98. #16840082C22semidirect
99. #16840074C22semidirect
100. #16840071C22semidirect
101. #16840071C22semidirect
102. #16840067C22semidirect
105. #16840061C22semidirect
106. #16840056C22semidirect
108. #16840045C22semidirect
112. #16840011C22semidirect
114. #16840002C22semidirect
120. #16839988C22semidirect
121. #16839988C22semidirect
125. #16839982C22semidirect
130. #16839960C22semidirect
133. #16839923C22semidirect
134. #16839916C22semidirect
142. #16839891C22semidirect
143. #16839886C22semidirect
147. #16839867C22semidirect
148. #16839866C22semidirect
153. #16839860C22semidirect
154. Q16×Dic61C22semidirect
155. Q16×Dic61C22semidirect
156. C4×#11758202C22semidirect
160. C4×#11758201C22semidirect
163. #16839847C22semidirect
170. #16839832C22semidirect
171. #16839827C22semidirect
174. #16839821C22semidirect
175. #16839817C22semidirect
177. #16839801C22semidirect
178. #16839799C22semidirect
182. #16839757C22semidirect
183. #103×D61C22semidirect
185. #16839719C22semidirect
187. C4×C8×D61C22semidirect
192. C61×#479C22semidirect
193. C61×#478C22semidirect
194. C61×#462C22semidirect
195. C61×#461C22semidirect
198. C61×#441C22semidirect
199. C61×#440C22semidirect
200. C4×Q16×C61C22semidirect
201. C4×SD16×C61C22semidirect
860. #3120D61semidirect
954. #479C2×D61semidirect
958. #478C2×D61semidirect
983. #462C2×D61semidirect
984. #461C2×D61semidirect
1006. #441C2×D61semidirect
1012. #440C2×D61semidirect
1016. C4×Q16C2×D61semidirect
1024. C4×SD16C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599202
#214598932
#214588922
#214587672
#214585082
#214584822
#214583822
#214583422
#214583162
#214577512
#214577502
#214577182
#214576992
#214576672
#214576522
#214574432
#214573692
#214573622
#214565002
#214564892
#214563852
#214560542
#214560242
#214560052
#214559342
#214559262
#214547922
#214546612
#214546472
C4×#145198002
C61×#31202
#6150061