Finite Group Databasebeta

← #30576209

Subgroups — #30576209

Order 15616.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459727C211yesmaximal, characteristic, complemented
2#21459439C211yesmaximal, characteristic, complemented
3#21458758C211yesmaximal, characteristic, complemented
4#21458648C211yesmaximal, characteristic, complemented
5#21458646C211yesmaximal, characteristic, complemented
6#21458333C211yesmaximal, characteristic, complemented
7#21458331C211yesmaximal, characteristic, complemented
8#21458296C211yesmaximal, characteristic, complemented
9#21458288C211yesmaximal, characteristic, complemented
10#21458205C211yesmaximal, characteristic, complemented
11#21458197C211yesmaximal, characteristic, complemented
12#21458010C211yesmaximal, characteristic, complemented
13#21458002C211yesmaximal, characteristic, complemented
14#21457995C211yesmaximal, characteristic, complemented
15#21457987C211yesmaximal, characteristic, complemented
16#21457726C211yesmaximal, characteristic, complemented
17#21457718C211yesmaximal, characteristic, complemented
18#21457180C211yesmaximal, characteristic, complemented
19#21457144C211yesmaximal, characteristic, complemented
20#21457137C211yesmaximal, characteristic, complemented
21#21457050C211yesmaximal, characteristic, complemented
22#21457034C211yesmaximal, characteristic, complemented
23#21456999C211yesmaximal, characteristic, complemented
24#21455968C211yesmaximal, characteristic, complemented
25#21455939C211yesmaximal, characteristic, complemented
26#21455848C211yesmaximal, characteristic, complemented
27#21455622C211yesmaximal, characteristic, complemented
28#21455606C211yesmaximal, characteristic, complemented
29#475×D61C211yesmaximal, characteristic, complemented
30#21454943C211yesmaximal, characteristic, complemented
31C61×#3388C211yesmaximal, characteristic, complemented
32#16840485—21no—
33#16840485C2211yescharacteristic
34#16840483—21no—
35#16840478C2211yescharacteristic
36#16840477C2211yescharacteristic
37#16840472C2211yescharacteristic
38#16840465C2211yescharacteristic
39#16840465C2211yescharacteristic
40#16840462C2211yescharacteristic
41#16840462C2211yescharacteristic
42#16840450—21no—
43#16840450—21no—
44#16840450C2211yescharacteristic
45#16840450C2211yescharacteristic
46Q8×D244C2211yescharacteristic
47#16840424C2211yescharacteristic
48#16840424C2211yescharacteristic
49#16840422—21no—
50#16840422—21no—
51#16840415—21no—
52#16840415C2211yescharacteristic
53#16840413—21no—
54#16840382—21no—
55#16840382—21no—
56#16840342—21no—
57#16840318C2211yescharacteristic
58#16840318C2211yescharacteristic
59#16840317—21no—
60#16840317C2211yescharacteristic
61#16840309C2211yescharacteristic
62#16840309C2211yescharacteristic
63#16840309C2211yescharacteristic
64C4⋊Q8×D61C2211yescharacteristic
65#16840297—21no—
66#16840297—21no—
67#16840297C2211yescharacteristic
68#16840297C2211yescharacteristic
69#16840243—21no—
70C4×#11758226—21no—
71C4×#11758226C2211yescharacteristic
72C4×#11758226C2211yescharacteristic
73C4×Q8×D61C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840168C2211yescharacteristic
77#16840161C2211yescharacteristic
78#16840132C2211yescharacteristic
79#16840131C2211yescharacteristic
80#16840124C2211yescharacteristic
81#16840122C2211yescharacteristic
82#16840119C2211yescharacteristic
83#16840117C2211yescharacteristic
84#16840106C2211yescharacteristic
85#16840106C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840105C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840099C2211yescharacteristic
91#16840099C2211yescharacteristic
92#16840089C2211yescharacteristic
93#16840089C2211yescharacteristic
94#16840088C2211yescharacteristic
95#16840085C2211yescharacteristic
96#16840082C2211yescharacteristic
97#16840082C2211yescharacteristic
98#16840082C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840077C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840070C2211yescharacteristic
103#16840069C2211yescharacteristic
104#16840069C2211yescharacteristic
105#16840066C2211yescharacteristic
106#16840063C2211yescharacteristic
107#16840059C2211yescharacteristic
108#16840059C2211yescharacteristic
109#16840059C2211yescharacteristic
110#16840056C2211yescharacteristic
111#16840056C2211yescharacteristic
112#16840055C2211yescharacteristic
113#16840051C2211yescharacteristic
114#16840049C2211yescharacteristic
115#16840048C2211yescharacteristic
116#16840047C2211yescharacteristic
117#16840046C2211yescharacteristic
118#16840046C2211yescharacteristic
119#16840046C2211yescharacteristic
120#16840046C2211yescharacteristic
121#16840045C2211yescharacteristic
122#16840045C2211yescharacteristic
123#16840044C2211yescharacteristic
124#16840041C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840016C2211yescharacteristic
127#16840014C2211yescharacteristic
128#16840009C2211yescharacteristic
129#16840007C2211yescharacteristic
130#16839999C2211yescharacteristic
131#16839997C2211yescharacteristic
132#16839992C2211yescharacteristic
133#16839992C2211yescharacteristic
134#16839992C2211yescharacteristic
135#16839990C2211yescharacteristic
136#16839990C2211yescharacteristic
137#16839990C2211yescharacteristic
138#16839978C2211yescharacteristic
139#16839978C2211yescharacteristic
140#16839977C2211yescharacteristic
141#16839977C2211yescharacteristic
142#16839968C2211yescharacteristic
143#16839967C2211yescharacteristic
144#16839961C2211yescharacteristic
145#16839961C2211yescharacteristic
146#16839960C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839910C2211yescharacteristic
149#16839906C2211yescharacteristic
150#16839902C2211yescharacteristic
151#16839902C2211yescharacteristic
152#16839899C2211yescharacteristic
153#16839899C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839875C2211yescharacteristic
156#16839872C2211yescharacteristic
157#16839864C2211yescharacteristic
158#16839862C2211yescharacteristic
159#16839860C2211yescharacteristic
160#16839860C2211yescharacteristic
161C4×#11758190C2211yescharacteristic
162C4×#11758201C2211yescharacteristic
163C4×#11758200C2211yescharacteristic
164#16839835C2211yescharacteristic
165#16839835C2211yescharacteristic
166#16839832C2211yescharacteristic
167#16839832C2211yescharacteristic
168C8×D244C2211yescharacteristic
169#16839827C2211yescharacteristic
170#16839817C2211yescharacteristic
171#16839817C2211yescharacteristic
172#16839813C2211yescharacteristic
173#16839803C2211yescharacteristic
174#16839801C2211yescharacteristic
175#16839799C2211yescharacteristic
176#16839797C2211yescharacteristic
177#106×D61C2211yescharacteristic
178#106×D61C2211yescharacteristic
179#16839784C2211yescharacteristic
180C4⋊C8×D61C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839769C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839757C2211yescharacteristic
186#103×D61C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#557C2211yescharacteristic
189C61×#554C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#499C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#479C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#476C2211yescharacteristic
198C61×#475C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758226D411yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×Q8×D61—21no—
210C2×Q8×D61C2311yescharacteristic
211C2×Q8×D61C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225#14519777—21no—
226#14519777C2311yescharacteristic
227#14519777C2311yescharacteristic
228#14519776—21no—
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519775—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#14519770—21no—
243#14519770—21no—
244#14519769C2311yescharacteristic
245#14519769C2311yescharacteristic
246#14519768—21no—
247#14519768—21no—
248#14519768—21no—
249#14519766—21no—
250#14519766—21no—
251#14519765—21no—
252#14519765—21no—
253#14519765C2311yescharacteristic
254#14519765C2311yescharacteristic
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519760—21no—
269#14519760—21no—
270#14519757—21no—
271#14519757—21no—
272#14519757—21no—
273#14519757—21no—
274#14519757C2311yescharacteristic
275#14519757C2311yescharacteristic
276#14519757C2311yescharacteristic
277#14519757C2311yescharacteristic
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519753—21no—
285#14519753—21no—
286#14519753—21no—
287#14519753—21no—
288#14519752—21no—
289#14519752—21no—
290#14519752—21no—
291#14519752—21no—
292#14519752—21no—
293#14519752C2311yescharacteristic
294#14519752C2311yescharacteristic
295#14519752C2311yescharacteristic
296#14519752C2311yescharacteristic
297#14519752C2311yescharacteristic
298#14519751—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519748C2311yescharacteristic
305#14519748C2311yescharacteristic
306#14519748C2311yescharacteristic
307Q8×Dic61—21no—
308Q8×Dic61D411yescharacteristic
309Q8×Dic61C2311yescharacteristic
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322C4×D244—21no—
323C4×D244—21no—
324C4×D244—21no—
325C4×D244—21no—
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333#14519739—21no—
334#14519739—21no—
335#14519739—21no—
336#14519739—21no—
337#14519739—21no—
338#14519739D411yescharacteristic
339#14519739D411yescharacteristic
340#14519739D411yescharacteristic
341#14519739C2311yescharacteristic
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347#14519736—21no—
348#14519735—21no—
349#14519735—21no—
350#14519735—21no—
351#14519735—21no—
352#14519735—21no—
353#14519735—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735D411yescharacteristic
357#14519735D411yescharacteristic
358#14519735D411yescharacteristic
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519735C2311yescharacteristic
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C4⋊C4×D61C2311yescharacteristic
372C42×D61—21no—
373C42×D61—21no—
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377C42×D61C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C4⋊Q8×C61—21no—
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#125×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2×D411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61C2411yescharacteristic
483C22×C4×C61—21no—
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C2×C22⋊D61—21no—
487C2×C22⋊D61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491#11758226—22no—
492#11758226—42no—
493#11758226—41no—
494#11758226—44no—
495Q8×D61—22no—
496Q8×D61—22no—
497Q8×D61—41no—
498Q8×D61—41no—
499Q8×D61—82no—
500#11758222—44no—
501#11758222—82no—
502#11758222—82no—
503C2×D244—21no—
504C2×D244—21no—
505C2×D244—21no—
506C2×D244—21no—
507C2×D244—21no—
508C2×D244—21no—
509C2×D244C2×D411yescharacteristic
510C2×D244C2×D411yescharacteristic
511C2×D244C2×D411yescharacteristic
512C2×D244C2411yescharacteristic
513C2×D244C2411yescharacteristic
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61C2×D411yescharacteristic
527C2×C4×D61C2×D411yescharacteristic
528C2×C4×D61C2×D411yescharacteristic
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2×D411yescharacteristic
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2411yescharacteristic
533C2×C4×D61C2411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122C2411yescharacteristic
542C2×Dic122C2411yescharacteristic
543SD16×C61—22no—
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C42×C61—21no—
574C42×C61—21no—
575C42×C61—21no—
576C42×C61C2411yescharacteristic
577C42×C61C2411yescharacteristic
578C42×C61C2411yescharacteristic
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582#11758201—22no—
583#11758200—41no—
584#11758200—41no—
585#11758199—41no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
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#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2×D411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
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—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666D488—41no—
667#11758190—41no—
668#11758190—41no—
669#11758189—41no—
670#11758189—41no—
671C8×D61—41no—
672C8×D61—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61C22×D411yescharacteristic
679C22×D61C22×D411yescharacteristic
680C22×D61C22×D411yescharacteristic
681Q8×C61—21no—
682Q8×C61—41no—
683Q8×C61—42no—
684Q8×C61—81no—
685Q8×C612−1+412yes—
686D4×C61—21no—
687D4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—42no—
696C2×C4×C61—81no—
697C2×C4×C61—81no—
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C2511yescharacteristic
705C22⋊D61—42no—
706C22⋊D61—42no—
707C22⋊D61—42no—
708C22⋊D61—81no—
709C22⋊D61—81no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61C22×D411yescharacteristic
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721D244—22no—
722D244—22no—
723D244—21no—
724D244—21no—
725D244—21no—
726D244—21no—
727D244—41no—
728D244—42no—
729D244—42no—
730D244—42no—
731D244—42no—
732D244—81no—
733D244—81no—
734C4×D61—22no—
735C4×D61—21no—
736C4×D61—21no—
737C4×D61—21no—
738C4×D61—21no—
739C4×D61—21no—
740C4×D61—21no—
741C4×D61—22no—
742C4×D61—22no—
743C4×D61—22no—
744C4×D61—41no—
745C4×D61—41no—
746C4×D61—42no—
747C4×D61—42no—
748C4×D61—42no—
749C4×D61—42no—
750C4×D61—42no—
751C4×D61—42no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758Dic122—21no—
759Dic122—21no—
760Dic122—21no—
761Dic122—21no—
762Dic122—42no—
763Dic122—42no—
764Dic122—42no—
765Dic122—42no—
766Dic122—42no—
767Dic122—81no—
768C8×C61—21no—
769C8×C61—21no—
770C8×C61—21no—
771C8×C61—21no—
772#92418—21no—
773#92418—21no—
774#92418—21no—
775#92418—21no—
776#62129—611nomaximal, Sylow
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61C23×D411yescharacteristic
781C2×D61—21no—
782C2×D61—21no—
783C2×D61—21no—
784C2×D61—21no—
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61#57512yes—
796C4×C61—22no—
797C4×C61—21no—
798C4×C61—21no—
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×C61—41no—
809C4×C61C2×2−1+411yescharacteristic
810C4×C61#58511yescharacteristic
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61#57712yes—
822#3511—611no—
823#3482—611no—
824#3388—611no—
825#3388D6111yescharacteristic, complemented
826#3376—611no—
827#3376—611no—
828#3348—611no—
829#3348—611no—
830#3345—611no—
831#3345—611no—
832#3337—611no—
833#3337—611no—
834#3321—611no—
835#3321—611no—
836#3320—611no—
837#3320—611no—
838#3301—611no—
839#3301—611no—
840#3251—611no—
841#3247—611no—
842#3246—611no—
843#3239—611no—
844#3237—611no—
845#3233—611no—
846#3115—611no—
847#3112—611no—
848#3103—611no—
849#3078—611no—
850#3076—611no—
851C2×#475—611no—
852#2990—611no—
853C2×C61—81no—
854C2×C61#348911yescharacteristic
855C2×C61C2×#57511yescharacteristic
856C2×C61C2×#57711yescharacteristic
857D61—22no—
858D61—41no—
859D61—41no—
860D61—81no—
861D61—81no—
862#557C2×D6111yescharacteristic
863#556—611no—
864#556—1221no—
865#556—1221no—
866#555—611no—
867#555—611no—
868#554—611no—
869#554C2×D6111yescharacteristic
870#553—611no—
871#553—611no—
872#553—611no—
873#553—611no—
874#552—611no—
875#552—611no—
876#552—1221no—
877#552—1221no—
878D4×Q8—611no—
879#548—611no—
880#548—611no—
881#548—1221no—
882#548—1221no—
883#547—611no—
884#547—1221no—
885#547—1221no—
886#542—1221no—
887#542—1221no—
888#537—1221no—
889#533—611no—
890#533—611no—
891#533—611no—
892#533—1221no—
893#532—611no—
894#532—611no—
895#532—611no—
896C2×C4⋊Q8—611no—
897#529—611no—
898#529—611no—
899#529—1221no—
900#529—1221no—
901#520—1221no—
902C4×#41—611no—
903C4×#41—611no—
904C4×#41—1221no—
905C2×C4×Q8—611no—
906C2×C4×Q8—611no—
907#501—611no—
908#501—611no—
909#501C2×D6111yescharacteristic
910#501C2×D6111yescharacteristic
911#499—611no—
912#499C2×D6111yescharacteristic
913#491—611no—
914#491—611no—
915#489—611no—
916#489—611no—
917#488—611no—
918#488—611no—
919#485—611no—
920#485—611no—
921#485—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#484—611no—
926#484—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#481—611no—
932#481—611no—
933#481—611no—
934#481—611no—
935#480—611no—
936#480—611no—
937#479—611no—
938#479—611no—
939#479—611no—
940#479—611no—
941#479C2×D6111yescharacteristic
942#479C2×D6111yescharacteristic
943#478—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478C2×D6111yescharacteristic
948#478C2×D6111yescharacteristic
949#477—611no—
950#477—611no—
951#477—611no—
952#476—611no—
953#476—611no—
954#476C2×D6111yescharacteristic
955#475—611no—
956#475—611no—
957#475—611no—
958#475—611no—
959#475—611no—
960#475—611no—
961#475—611no—
962#475—611no—
963#475—611no—
964#475C2×D6111yescharacteristic
965#474—611no—
966#474—611no—
967#469—611no—
968#469—611no—
969#468—611no—
970#468—611no—
971#466—611no—
972#466—611no—
973#465—611no—
974#465—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#461—611no—
984#461—611no—
985#460—611no—
986#460—611no—
987#460—611no—
988#459—611no—
989#449—611no—
990#449—611no—
991#448—611no—
992#448—611no—
993#448—611no—
994#448—611no—
995#446—611no—
996#446C2×D6111yescharacteristic
997#442—611no—
998#442—611no—
999#440—611no—
1000#440—611no—
1001#440—611no—
1002#440—611no—
1003#440C2×D6111yescharacteristic
1004#440C2×D6111yescharacteristic
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16C2×D6111yescharacteristic
1009#435—611no—
1010#435—611no—
1011#435—611no—
1012#435—611no—
1013C8×D4—611no—
1014C8×D4—611no—
1015#432—611no—
1016#432—611no—
1017#431—611no—
1018#428—611no—
1019#428—611no—
1020#427—611no—
1021#427—611no—
1022C2×#106—611no—
1023C2×#106—611no—
1024#423—611no—
1025C2×C4⋊C8—611no—
1026C2×C4⋊C8—611no—
1027#419—611no—
1028#419—611no—
1029#416—611no—
1030#416—611no—
1031C2×#103—611no—
1032C2×#103—611no—
1033C61#6212911yescharacteristic, complemented, Sylow
1034C2×#41—611no—
1035C2×#41—611no—
1036C2×#41—1221no—
1037C2×#41—1221no—
1038C2×#41—1221no—
1039C2×#41—1221no—
1040C22×Q8—611no—
1041C22×Q8—611no—
1042C22×Q8—1221no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16—611no—
1047C2×SD16—611no—
1048C2×SD16C22×D6111yescharacteristic
1049C2×D8—611no—
1050C2×D8—611no—
1051C2×M16—611no—
1052C2×M16—611no—
1053C22×C8—611no—
1054C22×C8—611no—
1055C22×C8—611no—
1056C22×C8—611no—
1057C4⋊Q8—21no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8C22×D6111yescharacteristic
1067C4⋊Q8C22×D6111yescharacteristic
1068#127—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#125—21no—
1080#125—21no—
1081#125—611no—
1082#125—611no—
1083#125—1221no—
1084#125—1221no—
1085#125—1221no—
1086#125C22×D6111yescharacteristic
1087#125C22×D6111yescharacteristic
1088#125C22×D6111yescharacteristic
1089#125C22×D6111yescharacteristic
1090#124—611no—
1091#124—611no—
1092#124—1221no—
1093#124—1221no—
1094#124—1221no—
1095#124—1221no—
1096#124—1221no—
1097#124—1221no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107#123—1221no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111C22⋊Q8—21no—
1112C22⋊Q8—21no—
1113C22⋊Q8—21no—
1114C22⋊Q8—611no—
1115C22⋊Q8—611no—
1116C22⋊Q8—611no—
1117C22⋊Q8—611no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151C4×Q8—21no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8C22×D6111yescharacteristic
1168C4×Q8C22×D6111yescharacteristic
1169C4×Q8C22×D6111yescharacteristic
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4C22×D6111yescharacteristic
1197C4×D4C22×D6111yescharacteristic
1198C4×D4C22×D6111yescharacteristic
1199#117—611no—
1200#117—611no—
1201#117—611no—
1202#117—611no—
1203#117—611no—
1204#117—611no—
1205#117—611no—
1206#117—611no—
1207#117—1221no—
1208#117—1221no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216C2×C4⋊C4—21no—
1217C2×C4⋊C4—611no—
1218C2×C4⋊C4—611no—
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—1221no—
1222C2×C4⋊C4—1221no—
1223C2×C4⋊C4—1221no—
1224C2×C4⋊C4—1221no—
1225C2×C42—611no—
1226C2×C42—611no—
1227C2×C42—611no—
1228C2×C42—1221no—
1229C2×C42—1221no—
1230C2×C42—1221no—
1231#107—611no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107C22×D6111yescharacteristic
1238#107C22×D6111yescharacteristic
1239#107C22×D6111yescharacteristic
1240#107C22×D6111yescharacteristic
1241#106—611no—
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106C22×D6111yescharacteristic
1251#106C22×D6111yescharacteristic
1252#106C22×D6111yescharacteristic
1253#106C22×D6111yescharacteristic
1254#106C22×D6111yescharacteristic
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8C22×D6111yescharacteristic
1263C4⋊C8C22×D6111yescharacteristic
1264C4⋊C8C22×D6111yescharacteristic
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103C22×D6111yescharacteristic
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
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#102—611no—
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297C22⋊C8—611no—
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303#97—611no—
1304#97—611no—
1305#97C22×D6111yescharacteristic
1306#97C22×D6111yescharacteristic
1307C4×C8—611no—
1308C4×C8C22×D6111yescharacteristic
1309#41—1222no—
1310#41—4882no—
1311#41—4882no—
1312#41—2444no—
1313#41—2442no—
1314#41—2441no—
1315#41—2444no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8—1222no—
1327C2×Q8—1222no—
1328C2×Q8—4882no—
1329C2×Q8—2441no—
1330C2×Q8—2441no—
1331C2×Q8D4×D6111yescharacteristic
1332C2×Q8C23×D6111yescharacteristic
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4C23×D6111yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374SD16—22no—
1375SD16—1222no—
1376SD16—2441no—
1377SD16—2441no—
1378SD16—2441no—
1379SD16—2441no—
1380D8—2441no—
1381D8—2441no—
1382M16—2441no—
1383M16—2441no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8—2441no—
1391C2×C8—2441no—
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C2×C8C23×D6111yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
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⋊C4D4×D6111yescharacteristic
1440C4⋊C4D4×D6111yescharacteristic
1441C4⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—611no—
1452C22⋊C4—611no—
1453C22⋊C4—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
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—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—611no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42C23×D6111yescharacteristic
1504C42C23×D6111yescharacteristic
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—611no—
1508C23—611no—
1509C23—611no—
1510C23—1221no—
1511C23—1221no—
1512Q8—21no—
1513Q8—41no—
1514Q8—42no—
1515Q8—81no—
1516Q8—1221no—
1517Q8—1221no—
1518Q8—1221no—
1519Q8—1221no—
1520Q8—4881no—
1521Q8—2442no—
1522Q8—2442no—
1523Q8—2442no—
1524Q8—2442no—
1525Q8—2442no—
1526Q8#1451982512yes—
1527D4—21no—
1528D4—21no—
1529D4—1222no—
1530D4—1222no—
1531D4—1221no—
1532D4—1221no—
1533D4—1221no—
1534D4—1221no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—2441no—
1540D4—2442no—
1541D4—2442no—
1542D4—2442no—
1543D4—2442no—
1544D4—2442no—
1545D4—2442no—
1546D4—2442no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—42no—
1555C2×C4—81no—
1556C2×C4—81no—
1557C2×C4—611no—
1558C2×C4—611no—
1559C2×C4—611no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—1222no—
1563C2×C4—1222no—
1564C2×C4—1222no—
1565C2×C4—1222no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—4881no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—2441no—
1583C2×C4—2441no—
1584C2×C4—2442no—
1585C2×C4—2442no—
1586C2×C4—2442no—
1587C2×C4—2442no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4C2×D4×D6111yescharacteristic
1593C2×C4C2×D4×D6111yescharacteristic
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C24×D6111yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—1221no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—612no—
1611C22—1221no—
1612C22—1221no—
1613C22—1221no—
1614C22—1221no—
1615C22—1221no—
1616C22—1221no—
1617C22—1221no—
1618C22—1221no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22C22×D4×D6111yescharacteristic
1626C4—22no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—612no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—2441no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4C2×#1451982511yescharacteristic
1651C4#1684059911yescharacteristic
1652C2—81no—
1653C2—1222no—
1654C2—4881no—
1655C2—4881no—
1656C2—2441no—
1657C2—2441no—
1658C2#2145949611yescharacteristic
1659C2#575×D6111yescharacteristic
1660C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3388C2
socleC22×C61C23×D4
hypercenter#3388D61
hypocenterC61#62129
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #21459727C2semidirect
2. #21459439C2semidirect
3. #21458758C2semidirect
4. #21458648C2semidirect
5. #21458646C2semidirect
6. #21458333C2semidirect
7. #21458331C2semidirect
8. #21458296C2semidirect
9. #21458288C2semidirect
10. #21458205C2semidirect
11. #21458197C2semidirect
12. #21458010C2semidirect
13. #21458002C2semidirect
14. #21457995C2semidirect
15. #21457987C2semidirect
16. #21457726C2semidirect
17. #21457718C2semidirect
18. #21457180C2semidirect
19. #21457144C2semidirect
20. #21457137C2semidirect
21. #21457050C2semidirect
22. #21457034C2semidirect
23. #21456999C2semidirect
24. #21455968C2semidirect
25. #21455939C2semidirect
26. #21455848C2semidirect
27. #21455622C2semidirect
28. #21455606C2semidirect
29. #475×D61C2semidirect
30. #21454943C2semidirect
31. C61×#3388C2semidirect
825. #3388D61semidirect
1033. C61#62129semidirect

Maximal subgroups

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

subgroupindex
#214597272
#214594392
#214587582
#214586482
#214586462
#214583332
#214583312
#214582962
#214582882
#214582052
#214581972
#214580102
#214580022
#214579952
#214579872
#214577262
#214577182
#214571802
#214571442
#214571372
#214570502
#214570342
#214569992
#214559682
#214559392
#214558482
#214556222
#214556062
#475×D612
#214549432
C61×#33882
#6212961