Finite Group Databasebeta

← #30575482

Subgroups — #30575482

Order 15616.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460388C211yesmaximal, characteristic, complemented
2#21459837C211yesmaximal, characteristic, complemented
3#21458900C211yesmaximal, characteristic, complemented
4#21458894C211yesmaximal, characteristic, complemented
5#21458559C211yesmaximal, characteristic, complemented
6#21458101C211yesmaximal, characteristic, complemented
7#21458099C211yesmaximal, characteristic, complemented
8#21458004C211yesmaximal, characteristic, complemented
9#21458002C211yesmaximal, characteristic, complemented
10#21457854C211yesmaximal, characteristic, complemented
11#21457852C211yesmaximal, characteristic, complemented
12#21457452C211yesmaximal, characteristic, complemented
13#21457445C211yesmaximal, characteristic, complemented
14#21457395C211yesmaximal, characteristic, complemented
15#21457391C211yesmaximal, characteristic, complemented
16#21457391C211yesmaximal, characteristic, complemented
17#21457384C211yesmaximal, characteristic, complemented
18#21457291C211yesmaximal, characteristic, complemented
19#21457288C211yesmaximal, characteristic, complemented
20#21457212C211yesmaximal, characteristic, complemented
21#21456931C211yesmaximal, characteristic, complemented
22#21456929C211yesmaximal, characteristic, complemented
23#21456823C211yesmaximal, characteristic, complemented
24#21456052C211yesmaximal, characteristic, complemented
25#21456044C211yesmaximal, characteristic, complemented
26#21455979C211yesmaximal, characteristic, complemented
27#21455347C211yesmaximal, characteristic, complemented
28#21455344C211yesmaximal, characteristic, complemented
29#21455310C211yesmaximal, characteristic, complemented
30#21454988C211yesmaximal, characteristic, complemented
31C61×#3369C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519809C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519804C2211yescharacteristic
36C2×Q16×D61C2211yescharacteristic, complemented
37C2×Q16×D61C2211yescharacteristic, complemented
38#16840514—21no—
39#16840508—21no—
40#16840486—21no—
41#16840486—21no—
42#16840486C2211yescharacteristic
43#16840486C2211yescharacteristic
44#16840485—21no—
45#16840485C2211yescharacteristic
46#16840485C2211yescharacteristic, complemented
47#16840478—21no—
48#16840478C2211yescharacteristic, complemented
49#16840437—21no—
50#16840436—21no—
51Q8×D244C2211yescharacteristic
52Q8×D244C2211yescharacteristic, complemented
53#16840427C2211yescharacteristic
54#16840424C2211yescharacteristic
55#16840424C2211yescharacteristic
56#16840424C2211yescharacteristic
57#16840420C2211yescharacteristic
58#16840407C2211yescharacteristic
59#16840405C2211yescharacteristic
60#16840387—21no—
61#16840386—21no—
62#16840386—21no—
63#16840386C2211yescharacteristic, complemented
64#16840386C2211yescharacteristic, complemented
65#16840384C2211yescharacteristic
66#16840383—21no—
67#16840378—21no—
68#16840377C2211yescharacteristic
69#16840351—21no—
70#16840337C2211yescharacteristic
71#16840332C2211yescharacteristic
72#16840317—21no—
73#16840317C2211yescharacteristic
74#16840316C2211yescharacteristic
75#16840299—21no—
76#16840299C2211yescharacteristic
77#124×D61C2211yescharacteristic
78#16840238C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80C4×#11758226C2211yescharacteristic
81#16840157C2211yescharacteristic
82#16840156C2211yescharacteristic
83#16840156C2211yescharacteristic, complemented
84#16840154C2211yescharacteristic, complemented
85#16840146C2211yescharacteristic
86#16840144C2211yescharacteristic
87#16840124C2211yescharacteristic
88#16840124C2211yescharacteristic
89#16840114C2211yescharacteristic, complemented
90#16840106C2211yescharacteristic
91#16840106C2211yescharacteristic, complemented
92#16840102C2211yescharacteristic
93#16840102C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic
95#16840084C2211yescharacteristic
96#16840055C2211yescharacteristic, complemented
97#16840051C2211yescharacteristic, complemented
98#16840049C2211yescharacteristic
99#16840046C2211yescharacteristic, complemented
100#16840046C2211yescharacteristic, complemented
101#16840044C2211yescharacteristic, complemented
102#16840044C2211yescharacteristic, complemented
103#16840021C2211yescharacteristic
104#16840021C2211yescharacteristic
105#16840021C2211yescharacteristic, complemented
106#16840019C2211yescharacteristic
107#16840019C2211yescharacteristic
108#16840019C2211yescharacteristic, complemented
109#16840016C2211yescharacteristic
110#16840014C2211yescharacteristic
111#16839994C2211yescharacteristic, complemented
112#16839992C2211yescharacteristic
113#16839992C2211yescharacteristic, complemented
114#16839990C2211yescharacteristic
115#16839987C2211yescharacteristic
116#16839987C2211yescharacteristic
117#16839986C2211yescharacteristic
118#16839985C2211yescharacteristic
119#16839985C2211yescharacteristic, complemented
120#16839984C2211yescharacteristic
121#16839984C2211yescharacteristic
122#16839984C2211yescharacteristic, complemented
123#16839983C2211yescharacteristic
124#16839983C2211yescharacteristic
125#16839982C2211yescharacteristic
126#16839981C2211yescharacteristic
127#16839980C2211yescharacteristic
128#16839978C2211yescharacteristic
129#16839978C2211yescharacteristic
130#16839977C2211yescharacteristic
131#16839976C2211yescharacteristic
132#16839974C2211yescharacteristic
133#16839973C2211yescharacteristic, complemented
134#16839973C2211yescharacteristic, complemented
135#16839972C2211yescharacteristic, complemented
136#16839972C2211yescharacteristic, complemented
137#16839971C2211yescharacteristic, complemented
138#16839971C2211yescharacteristic, complemented
139#16839970C2211yescharacteristic, complemented
140#16839969C2211yescharacteristic, complemented
141#16839966C2211yescharacteristic, complemented
142#16839927C2211yescharacteristic
143#16839927C2211yescharacteristic
144#16839925C2211yescharacteristic
145#16839923C2211yescharacteristic
146#16839919C2211yescharacteristic
147#16839919C2211yescharacteristic
148#16839919C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic, complemented
150#16839919C2211yescharacteristic, complemented
151#16839916C2211yescharacteristic, complemented
152#16839914C2211yescharacteristic
153#16839914C2211yescharacteristic
154#16839910C2211yescharacteristic
155#16839908C2211yescharacteristic
156#16839902C2211yescharacteristic
157#16839902C2211yescharacteristic, complemented
158#16839902C2211yescharacteristic, complemented
159#16839899C2211yescharacteristic
160#16839893C2211yescharacteristic, complemented
161#16839867C2211yescharacteristic, complemented
162#16839867C2211yescharacteristic, complemented
163#16839864C2211yescharacteristic
164#16839864C2211yescharacteristic, complemented
165#16839862C2211yescharacteristic
166#16839860C2211yescharacteristic, complemented
167C4×Dic244C2211yescharacteristic, complemented
168C4×#11758202C2211yescharacteristic, complemented
169C4×#11758201C2211yescharacteristic
170#16839841C2211yescharacteristic
171#16839839C2211yescharacteristic
172#16839835C2211yescharacteristic
173#16839835C2211yescharacteristic, complemented
174#16839832C2211yescharacteristic
175#16839832C2211yescharacteristic, complemented
176#16839824C2211yescharacteristic, complemented
177#16839821C2211yescharacteristic, complemented
178#16839817C2211yescharacteristic
179#16839787C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839769C2211yescharacteristic, complemented
184#16839769C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839755C2211yescharacteristic
188Q82×C61C2211yescharacteristic, complemented
189C61×#556C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#487C2211yescharacteristic, complemented
193C61×#476C2211yescharacteristic
194C61×#475C2211yescharacteristic, complemented
195C61×#475C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic
197C61×#464C2211yescharacteristic
198C61×#462C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#441C2211yescharacteristic, complemented
201C61×#441C2211yescharacteristic, complemented
202C4×SD16×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×D4×D61C2311yescharacteristic
212#14519809—42no—
213#14519809—42no—
214#14519806—42no—
215#14519804—42no—
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224C2×#11758202C2311yescharacteristic
225C2×#11758202C2311yescharacteristic
226Q16×D61—42no—
227Q16×D61—42no—
228C2×#11758190C2311yescharacteristic
229C2×#11758190C2311yescharacteristic
230C2×#11758190C2311yescharacteristic
231C2×#11758190C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758200C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235C2×#11758201C2311yescharacteristic
236C2×#11758201C2311yescharacteristic
237C2×D488C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240C2×#11758189C2311yescharacteristic
241C2×#11758189C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245#14519777—21no—
246#14519777—21no—
247#14519777C2311yescharacteristic
248#14519777C2311yescharacteristic
249#14519776—21no—
250#14519776C2311yescharacteristic
251#14519775C2311yescharacteristic
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519772—21no—
262#14519772D411yescharacteristic
263#14519772D411yescharacteristic
264#14519771—21no—
265#14519770—21no—
266#14519768—21no—
267#14519768D411yescharacteristic
268#14519767—21no—
269#14519766—21no—
270#14519766—21no—
271#14519766—21no—
272#14519766—21no—
273#14519766—21no—
274#14519766—21no—
275#14519766D411yescharacteristic
276#14519766C2311yescharacteristic
277#14519765—21no—
278#14519765—21no—
279#14519765—21no—
280#14519765—21no—
281#14519765C2311yescharacteristic
282#14519765C2311yescharacteristic
283#14519765C2311yescharacteristic
284#14519765C2311yescharacteristic
285#14519764C2311yescharacteristic
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763—21no—
290#14519762—21no—
291#14519762—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762—21no—
295#14519762D411yescharacteristic
296#14519762D411yescharacteristic
297#14519761—21no—
298#14519760—21no—
299#14519759—21no—
300#14519759—21no—
301#14519759—21no—
302#14519757—21no—
303#14519757—21no—
304#14519757—21no—
305#14519757—21no—
306#14519757—21no—
307#14519757—21no—
308#14519757—21no—
309#14519757C2311yescharacteristic
310#14519757C2311yescharacteristic
311#14519757C2311yescharacteristic
312#14519757C2311yescharacteristic
313#14519757C2311yescharacteristic
314#14519757C2311yescharacteristic
315#14519756—21no—
316#14519755—21no—
317#14519755—21no—
318#14519755—21no—
319#14519755—21no—
320#14519755—21no—
321#14519755—21no—
322#14519754—21no—
323#14519754—21no—
324#14519754—21no—
325#14519753—21no—
326#14519753—21no—
327#14519753—21no—
328#14519753—21no—
329#14519753—21no—
330#14519753D411yescharacteristic
331#14519753C2311yescharacteristic
332#14519753C2311yescharacteristic
333#14519752—21no—
334#14519752—21no—
335#14519752—21no—
336#14519752—21no—
337#14519752D411yescharacteristic
338#14519752C2311yescharacteristic
339#14519752C2311yescharacteristic
340#14519752C2311yescharacteristic
341#14519751—21no—
342#14519750—21no—
343#14519750—21no—
344#14519748C2311yescharacteristic
345#14519747—21no—
346#14519747—21no—
347Q8×Dic61—21no—
348Q8×Dic61—21no—
349Q8×Dic61—21no—
350Q8×Dic61C2311yescharacteristic
351C4×Dic122—21no—
352C4×Dic122—21no—
353C4×Dic122—21no—
354C4×Dic122C2311yescharacteristic
355C4×Dic122C2311yescharacteristic
356C4×Dic122C2311yescharacteristic
357C4×Dic122C2311yescharacteristic
358#14519742—21no—
359#14519742—21no—
360#14519742C2311yescharacteristic
361#14519742C2311yescharacteristic
362C4×D244—21no—
363C4×D244—21no—
364C4×D244—21no—
365C4×D244—21no—
366C4×D244—21no—
367C4×D244—21no—
368C4×D244C2311yescharacteristic
369C4×D244C2311yescharacteristic
370C4×D244C2311yescharacteristic
371C4×D244C2311yescharacteristic
372C4×D244C2311yescharacteristic
373#14519739—21no—
374#14519739—21no—
375#14519739C2311yescharacteristic
376#14519737—21no—
377#14519735—21no—
378#14519735—21no—
379#14519735—21no—
380#14519735—21no—
381#14519735—21no—
382#14519735—21no—
383#14519735—21no—
384#14519735C2311yescharacteristic
385#14519735C2311yescharacteristic
386#14519735C2311yescharacteristic
387#14519734—21no—
388#14519734—21no—
389#14519734—21no—
390#14519734C2311yescharacteristic
391#14519734C2311yescharacteristic
392C2×#11758198—21no—
393C22⋊C4×D61—21no—
394C22⋊C4×D61—21no—
395C22⋊C4×D61—21no—
396C42×D61—21no—
397C42×D61C2311yescharacteristic
398#14519711C2311yescharacteristic
399#14519710C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405C4⋊#92418C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519688C2311yescharacteristic
439#14519688C2311yescharacteristic
440C4×#92418C2311yescharacteristic
441C2×Q16×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C4⋊Q8×C61—21no—
445C4⋊Q8×C61—21no—
446C4⋊Q8×C61—21no—
447C4⋊Q8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449C4⋊Q8×C61C2311yescharacteristic
450C4⋊Q8×C61C2311yescharacteristic
451#126×C61—21no—
452#126×C61—21no—
453#124×C61C2311yescharacteristic
454#124×C61C2311yescharacteristic
455C22⋊Q8×C61—21no—
456C4×Q8×C61—21no—
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×Q8×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464#117×C61—21no—
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C2×Q8×C61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2×D411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C22×Dic61—21no—
498#11758226—22no—
499#11758226—41no—
500#11758226—41no—
501#11758226—41no—
502Q8×D61—22no—
503Q8×D61—22no—
504Q8×D61—41no—
505Q8×D61—41no—
506Q8×D61—41no—
507Q8×D61—41no—
508Q8×D61—41no—
509Q8×D61—41no—
510Q8×D61—41no—
511Q8×D61—41no—
512#11758224—41no—
513#11758224—41no—
514D4×D61—41no—
515D4×D61—41no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244C2×D411yescharacteristic
522C2×D244C2×D411yescharacteristic
523C2×D244C2×D411yescharacteristic
524C2×D244C2411yescharacteristic
525C2×D244C2411yescharacteristic
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×D61—21no—
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122C2411yescharacteristic
548C2×Dic122C2411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×Dic122C2411yescharacteristic
551Q16×C61—22no—
552Q16×C61—22no—
553SD16×C61—22no—
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61C2×D411yescharacteristic
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2×D411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C42×C61—21no—
581C42×C61—21no—
582C42×C61—21no—
583C42×C61—21no—
584C42×C61—21no—
585C42×C61C2411yescharacteristic
586C42×C61C2411yescharacteristic
587C42×C61C2411yescharacteristic
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591#11758202—22no—
592#11758202—22no—
593#11758202—41no—
594#11758202—41no—
595#11758202—41no—
596#11758202—41no—
597#11758201—22no—
598#11758201—41no—
599#11758201—41no—
600#11758200—41no—
601#11758200—41no—
602#11758199—41no—
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#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198C2×D411yescharacteristic
631#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61C2×D411yescharacteristic
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2411yescharacteristic
684C2×#92418C2411yescharacteristic
685C2×#92418C2411yescharacteristic
686C2×#92418C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688Dic244—41no—
689Dic244—41no—
690Dic244—41no—
691Dic244—41no—
692D488—41no—
693#11758190—41no—
694#11758190—41no—
695#11758190—41no—
696#11758190—41no—
697#11758189—41no—
698#11758189—41no—
699#11758189—41no—
700#11758189—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—42no—
707C22×D61—81no—
708C22×D61—81no—
709C22×D61C22×D411yescharacteristic
710C22×D61C22×D411yescharacteristic
711C22×D61C22×D411yescharacteristic
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—41no—
718Q8×C61—81no—
719Q8×C61—81no—
720Q8×C61—81no—
721Q8×C61H(5,𝔽2)12yes—
722D4×C61—21no—
723D4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—81no—
732C2×C4×C61C22×D411yescharacteristic
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C2511yescharacteristic
739C22⋊D61—81no—
740C22⋊D61—81no—
741C22⋊D61—81no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—81no—
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754D244—21no—
755D244—21no—
756D244—21no—
757D244—21no—
758D244—41no—
759D244—41no—
760D244—41no—
761D244—42no—
762D244—81no—
763D244—81no—
764D244—81no—
765D244—81no—
766C4×D61—21no—
767C4×D61—21no—
768C4×D61—21no—
769C4×D61—21no—
770C4×D61—21no—
771C4×D61—21no—
772C4×D61—41no—
773C4×D61—41no—
774C4×D61—42no—
775C4×D61—42no—
776C4×D61—42no—
777C4×D61—42no—
778C4×D61—81no—
779C4×D61—81no—
780C4×D61—81no—
781C4×D61—81no—
782C4×D61—81no—
783C4×D61—81no—
784Dic122—21no—
785Dic122—21no—
786Dic122—21no—
787Dic122—21no—
788Dic122—21no—
789Dic122—21no—
790Dic122—21no—
791Dic122—21no—
792Dic122—42no—
793Dic122—42no—
794Dic122—81no—
795Dic122—81no—
796Dic122—81no—
797Dic122—81no—
798C8×C61—21no—
799C8×C61—21no—
800C8×C61—21no—
801C8×C61—21no—
802#92418—21no—
803#92418—21no—
804#92418—21no—
805#92418—21no—
806#62091—611nomaximal, Sylow
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61C23×D411yescharacteristic
811C2×D61—21no—
812C2×D61—21no—
813C2×D61—21no—
814C2×D61—21no—
815C2×D61—21no—
816C2×D61—21no—
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—21no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—162no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—21no—
832C4×C61—21no—
833C4×C61—22no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61—41no—
839C4×C61—41no—
840C4×C61C2×H(5,𝔽2)11yescharacteristic
841C4×C61#58511yescharacteristic
842Dic61—21no—
843Dic61—21no—
844Dic61—21no—
845Dic61—21no—
846Dic61—21no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61—41no—
851Dic61—41no—
852Dic61—41no—
853#3561—611no—
854#3518—611no—
855#3402—611no—
856#3402—611no—
857#3369—611no—
858#3369D6111yescharacteristic, complemented
859#3328—611no—
860#3328—611no—
861#3321—611no—
862#3321—611no—
863#3311—611no—
864#3311—611no—
865#3275—611no—
866#3275—611no—
867#3270—611no—
868#3270—611no—
869#3270—611no—
870#3270—611no—
871#3263—611no—
872#3263—611no—
873#3255—611no—
874#3225—611no—
875#3225—611no—
876#3215—611no—
877#3121—611no—
878#3121—611no—
879#3116—611no—
880#3044—611no—
881#3044—611no—
882#3040—611no—
883#2995—611no—
884C2×C61—81no—
885C2×C61#348811yescharacteristic
886C2×C61#358611yescharacteristic
887C2×C61#358611yescharacteristic
888D61—41no—
889D61—41no—
890D61—41no—
891D61—81no—
892D61—81no—
893C2×#137—611no—
894C2×#137—611no—
895C2×#137—611no—
896C2×AGL(1,ℤ/8)—611no—
897C22×Q16—611no—
898C22×Q16—611no—
899#563—1221no—
900#562—1221no—
901Q82C2×D6111yescharacteristic, complemented
902#556—611no—
903#556—611no—
904#556—611no—
905#556—611no—
906#556—1221no—
907#556—1221no—
908#556—1221no—
909#556C2×D6111yescharacteristic
910#555—611no—
911#555—1221no—
912#551—1221no—
913#551—1221no—
914D4×Q8—611no—
915D4×Q8—611no—
916D4×Q8—611no—
917#548—611no—
918#548—611no—
919#548—611no—
920#548—611no—
921#546—611no—
922#546—611no—
923#543—1221no—
924#542—611no—
925#542—611no—
926#542—611no—
927#542—611no—
928#542—1221no—
929#542—1221no—
930#542—1221no—
931#542—1221no—
932#538—1221no—
933#536—611no—
934#536—611no—
935#533—611no—
936#533—611no—
937#533—1221no—
938#529—611no—
939#529—1221no—
940C2×#124—611no—
941#519—611no—
942#519—611no—
943C4×#41—611no—
944#497—611no—
945#497—611no—
946#497—611no—
947#497—611no—
948#495—611no—
949#495—611no—
950#489—611no—
951#489—611no—
952#489C2×D6111yescharacteristic
953#489C2×D6111yescharacteristic
954#487—611no—
955#487C2×D6111yescharacteristic, complemented
956#485—611no—
957#485—611no—
958#485—611no—
959#485—611no—
960#482—611no—
961#482—611no—
962#477—611no—
963#476—611no—
964#476—611no—
965#476C2×D6111yescharacteristic
966#475—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#475C2×D6111yescharacteristic, complemented
971#475C2×D6111yescharacteristic, complemented
972#470—611no—
973#470—611no—
974#470—611no—
975#470—611no—
976#470—611no—
977#470—611no—
978#469—611no—
979#469—611no—
980#465—611no—
981#465—611no—
982#465—611no—
983#465—611no—
984#464—611no—
985#464—611no—
986#464—611no—
987#464—611no—
988#464—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464C2×D6111yescharacteristic
997#464C2×D6111yescharacteristic
998#463—611no—
999#463—611no—
1000#463—611no—
1001#463—611no—
1002#463—611no—
1003#463—611no—
1004#462—611no—
1005#462—611no—
1006#462—611no—
1007#462—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462C2×D6111yescharacteristic, complemented
1013#461—611no—
1014#452—611no—
1015#452—611no—
1016#452—611no—
1017#452—611no—
1018#451—611no—
1019#451—611no—
1020#451—611no—
1021#451—611no—
1022#451—611no—
1023#451—611no—
1024#450—611no—
1025#450—611no—
1026#449—611no—
1027#449—611no—
1028#448—611no—
1029#448—611no—
1030#448—611no—
1031#448—611no—
1032#446—611no—
1033#446C2×D6111yescharacteristic, complemented
1034#441—611no—
1035#441—611no—
1036#441C2×D6111yescharacteristic, complemented
1037#441C2×D6111yescharacteristic, complemented
1038#440—611no—
1039#440—611no—
1040#440—611no—
1041#440—611no—
1042C4×Q16—611no—
1043C4×Q16—611no—
1044C4×SD16—611no—
1045C4×SD16C2×D6111yescharacteristic
1046#436—611no—
1047#436—611no—
1048#435—611no—
1049#435—611no—
1050#435—611no—
1051#435—611no—
1052#433—611no—
1053#433—611no—
1054#432—611no—
1055#424—611no—
1056#424—611no—
1057#423—611no—
1058#419—611no—
1059#419—611no—
1060#419—611no—
1061#418—611no—
1062#416—611no—
1063#416—611no—
1064C61#6209111yescharacteristic, complemented, Sylow
1065C2×#41—611no—
1066C2×#41—611no—
1067C2×#41—611no—
1068C22×Q8—611no—
1069C22×Q8—611no—
1070C22×Q8—611no—
1071C22×Q8—611no—
1072C22×Q8—611no—
1073C22×D4—611no—
1074#137—2442no—
1075#137—2442no—
1076#137—2442no—
1077AGL(1,ℤ/8)—2442no—
1078C2×Q16—611no—
1079C2×Q16—611no—
1080C2×Q16—611no—
1081C2×Q16—611no—
1082C2×Q16—611no—
1083C2×Q16—611no—
1084C2×Q16—611no—
1085C2×Q16—611no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—2442no—
1089C2×Q16—2442no—
1090C2×Q16C22×D6111yescharacteristic
1091C2×Q16C22×D6111yescharacteristic
1092C2×SD16—611no—
1093C2×SD16—611no—
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16C22×D6111yescharacteristic
1102C2×D8—611no—
1103C2×D8—611no—
1104C2×M16—611no—
1105C2×M16—611no—
1106C2×M16—611no—
1107C2×M16—611no—
1108C22×C8—611no—
1109C22×C8—611no—
1110C4⋊Q8—21no—
1111C4⋊Q8—21no—
1112C4⋊Q8—21no—
1113C4⋊Q8—611no—
1114C4⋊Q8—611no—
1115C4⋊Q8—611no—
1116C4⋊Q8—611no—
1117C4⋊Q8—1221no—
1118C4⋊Q8—1221no—
1119C4⋊Q8—1221no—
1120C4⋊Q8C22×D6111yescharacteristic
1121C4⋊Q8C22×D6111yescharacteristic
1122C4⋊Q8C22×D6111yescharacteristic
1123C4⋊Q8C22×D6111yescharacteristic
1124#126—21no—
1125#126—21no—
1126#126—611no—
1127#126—611no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#126—1221no—
1132#126—1221no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#125—611no—
1141#125—1221no—
1142#125—1221no—
1143#124—611no—
1144#124—611no—
1145#124—611no—
1146#124—611no—
1147#124—611no—
1148#124—611no—
1149#124—611no—
1150#124—1221no—
1151#124—1221no—
1152#124—1221no—
1153#124—1221no—
1154#124—1221no—
1155#124—1221no—
1156#124—1221no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124C22×D6111yescharacteristic
1165#124C22×D6111yescharacteristic
1166#123—611no—
1167#123—611no—
1168#123—1221no—
1169#123—1221no—
1170#123—1221no—
1171#123—1221no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178C22⋊Q8—21no—
1179C22⋊Q8—611no—
1180C22⋊Q8—611no—
1181C22⋊Q8—611no—
1182C22⋊Q8—611no—
1183C22⋊Q8—611no—
1184C22⋊Q8—611no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—1221no—
1189C22⋊Q8—1221no—
1190C22⋊Q8—1221no—
1191C22⋊Q8—1221no—
1192C22⋊Q8—1221no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#120—1221no—
1223#120—1221no—
1224C4×Q8—21no—
1225C4×Q8—611no—
1226C4×Q8—611no—
1227C4×Q8—611no—
1228C4×Q8—611no—
1229C4×Q8—611no—
1230C4×Q8—611no—
1231C4×Q8—611no—
1232C4×Q8—1221no—
1233C4×Q8—1221no—
1234C4×Q8—1221no—
1235C4×Q8—1221no—
1236C4×Q8—1221no—
1237C4×Q8—1221no—
1238C4×Q8—1221no—
1239C4×Q8—1221no—
1240C4×Q8C22×D6111yescharacteristic
1241C4×Q8C22×D6111yescharacteristic
1242C4×Q8C22×D6111yescharacteristic
1243C4×Q8C22×D6111yescharacteristic
1244C4×Q8C22×D6111yescharacteristic
1245C4×Q8C22×D6111yescharacteristic
1246C4×D4—611no—
1247C4×D4—611no—
1248C4×D4—611no—
1249C4×D4—611no—
1250C4×D4—611no—
1251C4×D4—611no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4C22×D6111yescharacteristic
1262#117—21no—
1263#117—611no—
1264#117—611no—
1265#117—611no—
1266#117—611no—
1267#117—611no—
1268#117—1221no—
1269#117—1221no—
1270#117—1221no—
1271#117—1221no—
1272#117—1221no—
1273#117—1221no—
1274#117—1221no—
1275#117—1221no—
1276#117—1221no—
1277#117—1221no—
1278C2×C22⋊C4—1221no—
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C22⋊C4—1221no—
1282C2×C42—611no—
1283C2×C42—1221no—
1284#107—611no—
1285#107—611no—
1286#106—611no—
1287#106—611no—
1288#106—611no—
1289#106C22×D6111yescharacteristic
1290#106C22×D6111yescharacteristic
1291#106C22×D6111yescharacteristic
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8—611no—
1296C4⋊C8—611no—
1297C4⋊C8—611no—
1298C4⋊C8—611no—
1299C4⋊C8C22×D6111yescharacteristic
1300C4⋊C8C22×D6111yescharacteristic
1301C4⋊C8C22×D6111yescharacteristic
1302#103—611no—
1303#103—611no—
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103C22×D6111yescharacteristic
1318#103C22×D6111yescharacteristic
1319#103C22×D6111yescharacteristic
1320#103C22×D6111yescharacteristic
1321#103C22×D6111yescharacteristic
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102C22×D6111yescharacteristic
1332#102C22×D6111yescharacteristic
1333#102C22×D6111yescharacteristic
1334C22⋊C8—611no—
1335C22⋊C8—611no—
1336C22⋊C8—611no—
1337C22⋊C8—611no—
1338C22⋊C8—611no—
1339C22⋊C8—611no—
1340#97—611no—
1341#97—611no—
1342#97C22×D6111yescharacteristic
1343#97C22×D6111yescharacteristic
1344C4×C8—611no—
1345C4×C8C22×D6111yescharacteristic
1346C24—1221no—
1347#41—1222no—
1348#41—2441no—
1349#41—2441no—
1350#41—2441no—
1351#41—2441no—
1352#41—2441no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—611no—
1357C2×Q8—611no—
1358C2×Q8—611no—
1359C2×Q8—611no—
1360C2×Q8—1221no—
1361C2×Q8—1221no—
1362C2×Q8—1221no—
1363C2×Q8—1221no—
1364C2×Q8—1221no—
1365C2×Q8—1221no—
1366C2×Q8—1222no—
1367C2×Q8—1222no—
1368C2×Q8—2441no—
1369C2×Q8—2441no—
1370C2×Q8—2441no—
1371C2×Q8—2441no—
1372C2×Q8—2441no—
1373C2×Q8—2441no—
1374C2×Q8—2441no—
1375C2×Q8—2441no—
1376C2×Q8D4×D6111yescharacteristic
1377C2×Q8C23×D6111yescharacteristic
1378C2×Q8C23×D6111yescharacteristic
1379C2×Q8C23×D6111yescharacteristic
1380C2×D4—611no—
1381C2×D4—611no—
1382C2×D4—611no—
1383C2×D4—611no—
1384C2×D4—611no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4—1221no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—2441no—
1394C2×D4—2441no—
1395C2×D4C23×D6111yescharacteristic
1396C22×C4—21no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4—1221no—
1413Q16—22no—
1414Q16—22no—
1415Q16—1222no—
1416Q16—1222no—
1417Q16—2441no—
1418Q16—2441no—
1419Q16—2441no—
1420Q16—2441no—
1421Q16—2441no—
1422Q16—2441no—
1423Q16—2441no—
1424Q16—2441no—
1425SD16—22no—
1426SD16—1222no—
1427SD16—2441no—
1428SD16—2441no—
1429SD16—2441no—
1430SD16—2441no—
1431SD16—2441no—
1432SD16—2441no—
1433SD16—2441no—
1434SD16—2441no—
1435D8—2441no—
1436D8—2441no—
1437M16—2441no—
1438M16—2441no—
1439M16—2441no—
1440M16—2441no—
1441C2×C8—611no—
1442C2×C8—611no—
1443C2×C8—611no—
1444C2×C8—611no—
1445C2×C8—2441no—
1446C2×C8—2441no—
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C2×C8C23×D6111yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—611no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4D4×D6111yescharacteristic
1493C4⋊C4D4×D6111yescharacteristic
1494C4⋊C4D4×D6111yescharacteristic
1495C4⋊C4C23×D6111yescharacteristic
1496C4⋊C4C23×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C4⋊C4C23×D6111yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—611no—
1505C22⋊C4—611no—
1506C22⋊C4—611no—
1507C22⋊C4—611no—
1508C22⋊C4—611no—
1509C22⋊C4—611no—
1510C22⋊C4—611no—
1511C22⋊C4—611no—
1512C22⋊C4—611no—
1513C22⋊C4—611no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—611no—
1550C42—611no—
1551C42—611no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42—1221no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42C23×D6111yescharacteristic
1563C42C23×D6111yescharacteristic
1564C42C23×D6111yescharacteristic
1565C23—21no—
1566C23—611no—
1567C23—611no—
1568C23—611no—
1569C23—1221no—
1570C23—1221no—
1571C23—4881no—
1572C23—4881no—
1573C23—2442no—
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—41no—
1580Q8—81no—
1581Q8—81no—
1582Q8—81no—
1583Q8—1221no—
1584Q8—1221no—
1585Q8—1221no—
1586Q8—1221no—
1587Q8—1221no—
1588Q8—1221no—
1589Q8—1221no—
1590Q8—1221no—
1591Q8—4881no—
1592Q8—4881no—
1593Q8—4881no—
1594Q8—4881no—
1595Q8—2442no—
1596Q8—2442no—
1597Q8#1451982312yes—
1598D4—21no—
1599D4—21no—
1600D4—1221no—
1601D4—1221no—
1602D4—1221no—
1603D4—1221no—
1604D4—4881no—
1605D4—4881no—
1606D4—4881no—
1607D4—4881no—
1608D4—4881no—
1609D4—4881no—
1610D4—4881no—
1611D4—2441no—
1612D4—2441no—
1613D4—2441no—
1614D4—2442no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—81no—
1623C2×C4—611no—
1624C2×C4—611no—
1625C2×C4—611no—
1626C2×C4—611no—
1627C2×C4—611no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—4881no—
1641C2×C4—4881no—
1642C2×C4—4881no—
1643C2×C4—4881no—
1644C2×C4—4881no—
1645C2×C4—4881no—
1646C2×C4—4881no—
1647C2×C4—2441no—
1648C2×C4—2441no—
1649C2×C4—2442no—
1650C2×C4—2442no—
1651C2×C4—2442no—
1652C2×C4—2442no—
1653C2×C4C2×D4×D6111yescharacteristic
1654C2×C4C2×D4×D6111yescharacteristic
1655C2×C4C2×D4×D6111yescharacteristic
1656C2×C4C2×D4×D6111yescharacteristic
1657C2×C4C2×D4×D6111yescharacteristic
1658C2×C4C2×D4×D6111yescharacteristic
1659C2×C4C24×D6111yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—1221no—
1665C8—1221no—
1666C8—1221no—
1667C8—1221no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—1221no—
1672C22—1221no—
1673C22—1221no—
1674C22—1221no—
1675C22—1221no—
1676C22—1221no—
1677C22—1221no—
1678C22—1221no—
1679C22—1221no—
1680C22—9762no—
1681C22—2441no—
1682C22—2441no—
1683C22—2441no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22C22×D4×D6111yescharacteristic
1688C4—22no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—1221no—
1702C4—1221no—
1703C4—1221no—
1704C4—1221no—
1705C4—1221no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C4—2441no—
1711C4—2441no—
1712C4C2×#1451982311yescharacteristic
1713C4#1684059911yescharacteristic
1714C2—81no—
1715C2—4881no—
1716C2—4881no—
1717C2—2441no—
1718C2—2441no—
1719C2—2441no—
1720C2#2145948511yescharacteristic
1721C2#2146060111yescharacteristic
1722C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3369C2
socleC22×C61C23×D4
hypercenter#3369D61
hypocenterC61#62091
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3369

Complements

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

NH ≅ G/Ntype
1. #21460388C2semidirect
2. #21459837C2semidirect
3. #21458900C2semidirect
4. #21458894C2semidirect
5. #21458559C2semidirect
6. #21458101C2semidirect
7. #21458099C2semidirect
8. #21458004C2semidirect
9. #21458002C2semidirect
10. #21457854C2semidirect
11. #21457852C2semidirect
12. #21457452C2semidirect
13. #21457445C2semidirect
14. #21457395C2semidirect
15. #21457391C2semidirect
16. #21457391C2semidirect
17. #21457384C2semidirect
18. #21457291C2semidirect
19. #21457288C2semidirect
20. #21457212C2semidirect
21. #21456931C2semidirect
22. #21456929C2semidirect
23. #21456823C2semidirect
24. #21456052C2semidirect
25. #21456044C2semidirect
26. #21455979C2semidirect
27. #21455347C2semidirect
28. #21455344C2semidirect
29. #21455310C2semidirect
30. #21454988C2semidirect
31. C61×#3369C2semidirect
36. C2×Q16×D61C22semidirect
37. C2×Q16×D61C22semidirect
46. #16840485C22semidirect
48. #16840478C22semidirect
52. Q8×D244C22semidirect
63. #16840386C22semidirect
64. #16840386C22semidirect
78. #16840238C22semidirect
79. #16840238C22semidirect
83. #16840156C22semidirect
84. #16840154C22semidirect
89. #16840114C22semidirect
91. #16840106C22semidirect
93. #16840102C22semidirect
96. #16840055C22semidirect
97. #16840051C22semidirect
99. #16840046C22semidirect
100. #16840046C22semidirect
101. #16840044C22semidirect
102. #16840044C22semidirect
105. #16840021C22semidirect
108. #16840019C22semidirect
111. #16839994C22semidirect
113. #16839992C22semidirect
119. #16839985C22semidirect
122. #16839984C22semidirect
133. #16839973C22semidirect
134. #16839973C22semidirect
135. #16839972C22semidirect
136. #16839972C22semidirect
137. #16839971C22semidirect
138. #16839971C22semidirect
139. #16839970C22semidirect
140. #16839969C22semidirect
141. #16839966C22semidirect
148. #16839919C22semidirect
149. #16839919C22semidirect
150. #16839919C22semidirect
151. #16839916C22semidirect
157. #16839902C22semidirect
158. #16839902C22semidirect
160. #16839893C22semidirect
161. #16839867C22semidirect
162. #16839867C22semidirect
164. #16839864C22semidirect
166. #16839860C22semidirect
167. C4×Dic244C22semidirect
168. C4×#11758202C22semidirect
173. #16839835C22semidirect
175. #16839832C22semidirect
176. #16839824C22semidirect
177. #16839821C22semidirect
179. #16839787C22semidirect
180. #16839787C22semidirect
183. #16839769C22semidirect
184. #16839769C22semidirect
188. Q82×C61C22semidirect
192. C61×#487C22semidirect
194. C61×#475C22semidirect
195. C61×#475C22semidirect
198. C61×#462C22semidirect
199. C61×#446C22semidirect
200. C61×#441C22semidirect
201. C61×#441C22semidirect
858. #3369D61semidirect
901. Q82C2×D61semidirect
955. #487C2×D61semidirect
970. #475C2×D61semidirect
971. #475C2×D61semidirect
1012. #462C2×D61semidirect
1033. #446C2×D61semidirect
1036. #441C2×D61semidirect
1037. #441C2×D61semidirect
1064. C61#62091semidirect

Maximal subgroups

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

subgroupindex
#214603882
#214598372
#214589002
#214588942
#214585592
#214581012
#214580992
#214580042
#214580022
#214578542
#214578522
#214574522
#214574452
#214573952
#214573912
#214573842
#214572912
#214572882
#214572122
#214569312
#214569292
#214568232
#214560522
#214560442
#214559792
#214553472
#214553442
#214553102
#214549882
C61×#33692
#6209161