Finite Group Databasebeta

← #30573465

Subgroups — #30573465

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460414C211yesmaximal, characteristic, complemented
2#21459837C211yesmaximal, characteristic, complemented
3#21458894C211yesmaximal, characteristic, complemented
4#21458887C211yesmaximal, characteristic, complemented
5#21458633C211yesmaximal, characteristic, complemented
6#21458002C211yesmaximal, characteristic, complemented
7#21457974C211yesmaximal, characteristic, complemented
8#21457884C211yesmaximal, characteristic, complemented
9#21457852C211yesmaximal, characteristic, complemented
10#21457755C211yesmaximal, characteristic, complemented
11#21457735C211yesmaximal, characteristic, complemented
12#21457555C211yesmaximal, characteristic, complemented
13#21457528C211yesmaximal, characteristic, complemented
14#21457406C211yesmaximal, characteristic, complemented
15#21457391C211yesmaximal, characteristic, complemented
16#21457369C211yesmaximal, characteristic, complemented
17#21457324C211yesmaximal, characteristic, complemented
18#21457252C211yesmaximal, characteristic, complemented
19#21457229C211yesmaximal, characteristic, complemented
20#21457159C211yesmaximal, characteristic, complemented
21#21456931C211yesmaximal, characteristic, complemented
22#21456914C211yesmaximal, characteristic, complemented
23#21456831C211yesmaximal, characteristic, complemented
24#21456118C211yesmaximal, characteristic, complemented
25#21456107C211yesmaximal, characteristic, complemented
26#21455934C211yesmaximal, characteristic, complemented
27#21455344C211yesmaximal, characteristic, complemented
28#21455338C211yesmaximal, characteristic, complemented
29#21455273C211yesmaximal, characteristic, complemented
30#21454957C211yesmaximal, characteristic, complemented
31C61×#3369C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519809C2211yescharacteristic
34C2×#14519800C2211yescharacteristic, complemented
35C2×#14519798C2211yescharacteristic
36C2×Q16×D61C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic
38#16840508—21no—
39#16840503—21no—
40#16840497C2211yescharacteristic
41#16840486—21no—
42#16840486—21no—
43#16840486C2211yescharacteristic
44#16840486C2211yescharacteristic, complemented
45#16840485—21no—
46#16840485C2211yescharacteristic, complemented
47#16840478—21no—
48#16840478C2211yescharacteristic
49#16840463—21no—
50#16840436—21no—
51#16840434C2211yescharacteristic
52Q8×D244C2211yescharacteristic
53#16840424C2211yescharacteristic
54#16840424C2211yescharacteristic
55#16840424C2211yescharacteristic, complemented
56#16840420C2211yescharacteristic
57#16840415C2211yescharacteristic
58#16840407C2211yescharacteristic
59#16840405C2211yescharacteristic
60#16840386—21no—
61#16840386—21no—
62#16840386C2211yescharacteristic
63#16840386C2211yescharacteristic, complemented
64#16840370C2211yescharacteristic
65#16840367—21no—
66#16840363C2211yescharacteristic
67#16840353—21no—
68#16840352—21no—
69#16840351—21no—
70#16840337C2211yescharacteristic
71#16840330C2211yescharacteristic
72#16840317—21no—
73#16840317C2211yescharacteristic, complemented
74#16840311C2211yescharacteristic
75#16840299—21no—
76#16840299C2211yescharacteristic
77#16840299C2211yescharacteristic
78#16840238C2211yescharacteristic
79#16840238C2211yescharacteristic, complemented
80C4×#11758226C2211yescharacteristic, complemented
81#16840157C2211yescharacteristic
82#16840156C2211yescharacteristic, complemented
83#16840154C2211yescharacteristic, complemented
84#16840151C2211yescharacteristic
85#16840146C2211yescharacteristic
86#16840144C2211yescharacteristic
87#16840124C2211yescharacteristic
88#16840124C2211yescharacteristic, complemented
89#16840110C2211yescharacteristic
90#16840106C2211yescharacteristic
91#16840101C2211yescharacteristic
92#16840101C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic
94#16840088C2211yescharacteristic, complemented
95#16840085C2211yescharacteristic
96#16840072C2211yescharacteristic, complemented
97#16840072C2211yescharacteristic, complemented
98#16840067C2211yescharacteristic, complemented
99#16840061C2211yescharacteristic, complemented
100#16840054C2211yescharacteristic, complemented
101#16840039C2211yescharacteristic
102#16840039C2211yescharacteristic, complemented
103#16840021C2211yescharacteristic
104#16840016C2211yescharacteristic, complemented
105#16840011C2211yescharacteristic
106#16840007C2211yescharacteristic
107#16840002C2211yescharacteristic
108#16840002C2211yescharacteristic, complemented
109#16840002C2211yescharacteristic, complemented
110#16839997C2211yescharacteristic
111#16839992C2211yescharacteristic
112#16839992C2211yescharacteristic
113#16839992C2211yescharacteristic
114#16839992C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic
116#16839987C2211yescharacteristic
117#16839986C2211yescharacteristic
118#16839985C2211yescharacteristic
119#16839985C2211yescharacteristic, complemented
120#16839984C2211yescharacteristic
121#16839984C2211yescharacteristic, complemented
122#16839984C2211yescharacteristic, complemented
123#16839981C2211yescharacteristic
124#16839980C2211yescharacteristic
125#16839978C2211yescharacteristic, complemented
126#16839978C2211yescharacteristic, complemented
127#16839977C2211yescharacteristic
128#16839974C2211yescharacteristic
129#16839972C2211yescharacteristic, complemented
130#16839971C2211yescharacteristic, complemented
131#16839971C2211yescharacteristic, complemented
132#16839970C2211yescharacteristic, complemented
133#16839969C2211yescharacteristic, complemented
134#16839968C2211yescharacteristic
135#16839966C2211yescharacteristic, complemented
136#16839963C2211yescharacteristic
137#16839962C2211yescharacteristic
138#16839961C2211yescharacteristic
139#16839961C2211yescharacteristic
140#16839960C2211yescharacteristic
141#16839956C2211yescharacteristic
142#16839927C2211yescharacteristic
143#16839927C2211yescharacteristic
144#16839927C2211yescharacteristic, complemented
145#16839927C2211yescharacteristic, complemented
146#16839925C2211yescharacteristic
147#16839925C2211yescharacteristic
148#16839923C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic
150#16839919C2211yescharacteristic, complemented
151#16839916C2211yescharacteristic
152#16839914C2211yescharacteristic
153#16839910C2211yescharacteristic
154#16839910C2211yescharacteristic
155#16839910C2211yescharacteristic
156#16839902C2211yescharacteristic, complemented
157#16839902C2211yescharacteristic, complemented
158#16839899C2211yescharacteristic
159#16839897C2211yescharacteristic
160#16839893C2211yescharacteristic, complemented
161#16839875C2211yescharacteristic
162#16839870C2211yescharacteristic, complemented
163#16839862C2211yescharacteristic
164#16839860C2211yescharacteristic
165#16839860C2211yescharacteristic, complemented
166#16839860C2211yescharacteristic, complemented
167C4×#11758202C2211yescharacteristic, complemented
168C4×#11758202C2211yescharacteristic, complemented
169C4×#11758190C2211yescharacteristic, complemented
170#16839835C2211yescharacteristic
171#16839835C2211yescharacteristic, complemented
172#16839832C2211yescharacteristic
173#16839832C2211yescharacteristic
174C8×D244C2211yescharacteristic
175#16839827C2211yescharacteristic, complemented
176#16839824C2211yescharacteristic
177#16839821C2211yescharacteristic, complemented
178#16839817C2211yescharacteristic, complemented
179#16839787C2211yescharacteristic
180#16839787C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839757C2211yescharacteristic
186#16839757C2211yescharacteristic, complemented
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×#11758226C2311yescharacteristic
206C2×#11758226C2311yescharacteristic
207C2×#11758224C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×D4×D61C2311yescharacteristic
212#14519809—42no—
213#14519809—42no—
214#14519800—42no—
215#14519798—42no—
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223Q16×D61—42no—
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235SD16×D61—42no—
236C2×D488C2311yescharacteristic
237C2×D488C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240C2×#11758189C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245#14519777—21no—
246#14519777C2311yescharacteristic
247#14519775C2311yescharacteristic
248#14519774—21no—
249#14519774C2311yescharacteristic
250#14519773C2311yescharacteristic
251#14519772—21no—
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#14519772D411yescharacteristic
262#14519772D411yescharacteristic
263#14519771—21no—
264#14519769—21no—
265#14519768—21no—
266#14519768D411yescharacteristic
267#14519768C2311yescharacteristic
268#14519767—21no—
269#14519766—21no—
270#14519766—21no—
271#14519766—21no—
272#14519766—21no—
273#14519766—21no—
274#14519766—21no—
275#14519766—21no—
276#14519766D411yescharacteristic
277#14519766C2311yescharacteristic
278#14519765—21no—
279#14519765—21no—
280#14519765—21no—
281#14519765C2311yescharacteristic
282#14519765C2311yescharacteristic
283#14519765C2311yescharacteristic
284#14519765C2311yescharacteristic
285#14519763—21no—
286#14519762—21no—
287#14519762—21no—
288#14519762—21no—
289#14519762—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#14519757—21no—
302#14519757—21no—
303#14519757—21no—
304#14519757—21no—
305#14519757—21no—
306#14519757C2311yescharacteristic
307#14519757C2311yescharacteristic
308#14519757C2311yescharacteristic
309#14519757C2311yescharacteristic
310#14519757C2311yescharacteristic
311#14519755—21no—
312#14519755—21no—
313#14519754—21no—
314#14519753—21no—
315#14519753—21no—
316#14519753—21no—
317#14519753—21no—
318#14519753D411yescharacteristic
319#14519753C2311yescharacteristic
320#14519753C2311yescharacteristic
321#14519752—21no—
322#14519752—21no—
323#14519752—21no—
324#14519752—21no—
325#14519752—21no—
326#14519752—21no—
327#14519752—21no—
328#14519752D411yescharacteristic
329#14519752C2311yescharacteristic
330#14519752C2311yescharacteristic
331#14519752C2311yescharacteristic
332#14519752C2311yescharacteristic
333#14519751—21no—
334#14519751—21no—
335#14519750—21no—
336#14519750—21no—
337#14519750—21no—
338#14519750—21no—
339#14519750—21no—
340#14519750—21no—
341#14519750—21no—
342#14519748C2311yescharacteristic
343#14519747—21no—
344#14519747—21no—
345#14519747—21no—
346#14519747—21no—
347Q8×Dic61—21no—
348Q8×Dic61—21no—
349Q8×Dic61—21no—
350Q8×Dic61C2311yescharacteristic
351C4×Dic122—21no—
352C4×Dic122—21no—
353C4×Dic122C2311yescharacteristic
354C4×Dic122C2311yescharacteristic
355C4×Dic122C2311yescharacteristic
356#14519742—21no—
357#14519742—21no—
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360C4×D244—21no—
361C4×D244—21no—
362C4×D244—21no—
363C4×D244—21no—
364C4×D244—21no—
365C4×D244—21no—
366C4×D244—21no—
367C4×D244C2311yescharacteristic
368C4×D244C2311yescharacteristic
369C4×D244C2311yescharacteristic
370C4×D244C2311yescharacteristic
371C4×D244C2311yescharacteristic
372C4×D244C2311yescharacteristic
373#14519739—21no—
374#14519739—21no—
375#14519739C2311yescharacteristic
376#14519737—21no—
377#14519737—21no—
378#14519737—21no—
379#14519735—21no—
380#14519735—21no—
381#14519735—21no—
382#14519735—21no—
383#14519735—21no—
384#14519735—21no—
385#14519735C2311yescharacteristic
386#14519735C2311yescharacteristic
387#14519735C2311yescharacteristic
388#14519734—21no—
389#14519734—21no—
390#14519734—21no—
391#14519734C2311yescharacteristic
392#14519734C2311yescharacteristic
393C4⋊C4×D61—21no—
394C2×#11758198—21no—
395C22⋊C4×D61—21no—
396C42×D61—21no—
397C42×D61C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519710C2311yescharacteristic
400#14519710C2311yescharacteristic
401#14519710C2311yescharacteristic
402#14519709C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405C4⋊#92418C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
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—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C22×Dic61—21no—
500#11758226—22no—
501#11758226—41no—
502#11758226—41no—
503#11758226—41no—
504#11758226—41no—
505#11758226—41no—
506#11758226—41no—
507#11758226—41no—
508Q8×D61—22no—
509Q8×D61—22no—
510Q8×D61—41no—
511Q8×D61—41no—
512Q8×D61—41no—
513Q8×D61—41no—
514#11758224—41no—
515#11758224—41no—
516D4×D61—41no—
517D4×D61—41no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244—21no—
522C2×D244—21no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244C2×D411yescharacteristic
529C2×D244C2×D411yescharacteristic
530C2×D244C2×D411yescharacteristic
531C2×D244C2411yescharacteristic
532C2×D244C2411yescharacteristic
533C2×D244C2411yescharacteristic
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61C2×D411yescharacteristic
546C2×C4×D61C2×D411yescharacteristic
547C2×C4×D61C2411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×C4×D61C2411yescharacteristic
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—22no—
557Q16×C61—22no—
558SD16×C61—22no—
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61C2×D411yescharacteristic
574C4⋊C4×C61C2×D411yescharacteristic
575C4⋊C4×C61C2×D411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C42×C61—21no—
586C42×C61—21no—
587C42×C61—21no—
588C42×C61—21no—
589C42×C61—21no—
590C42×C61C2411yescharacteristic
591C42×C61C2411yescharacteristic
592C42×C61C2411yescharacteristic
593C22⋊Dic61—21no—
594#11758202—22no—
595#11758202—41no—
596#11758202—41no—
597#11758202—41no—
598#11758202—41no—
599#11758201—22no—
600#11758201—22no—
601#11758201—41no—
602#11758201—41no—
603#11758200—41no—
604#11758200—41no—
605#11758199—41no—
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#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641#11758198C2×D411yescharacteristic
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644C4⋊Dic61—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⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2×D411yescharacteristic
655C4⋊Dic61C2×D411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
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—
690D488—41no—
691D488—41no—
692#11758190—41no—
693#11758190—41no—
694#11758190—41no—
695#11758190—41no—
696#11758190—41no—
697#11758189—41no—
698#11758189—41no—
699C8×D61—41no—
700C8×D61—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—81no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61C22×D411yescharacteristic
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—41no—
719Q8×C61—81no—
720Q8×C61—81no—
721Q8×C61—81no—
722Q8×C61H(5,𝔽2)12yes—
723D4×C61—21no—
724D4×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—21no—
732C2×C4×C61—81no—
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C2511yescharacteristic
740C22⋊D61—81no—
741C22⋊D61—81no—
742C22⋊D61—81no—
743C22⋊D61—81no—
744C22⋊D61—81no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—81no—
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756D244—21no—
757D244—21no—
758D244—21no—
759D244—21no—
760D244—21no—
761D244—21no—
762D244—41no—
763D244—41no—
764D244—41no—
765D244—42no—
766D244—81no—
767D244—81no—
768D244—81no—
769D244—81no—
770D244—81no—
771D244—81no—
772D244—81no—
773D244—81no—
774D244—81no—
775C4×D61—21no—
776C4×D61—21no—
777C4×D61—21no—
778C4×D61—21no—
779C4×D61—21no—
780C4×D61—21no—
781C4×D61—41no—
782C4×D61—41no—
783C4×D61—42no—
784C4×D61—42no—
785C4×D61—42no—
786C4×D61—42no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791C4×D61—81no—
792C4×D61—81no—
793C4×D61—81no—
794Dic122—21no—
795Dic122—21no—
796Dic122—21no—
797Dic122—21no—
798Dic122—21no—
799Dic122—21no—
800Dic122—42no—
801Dic122—42no—
802Dic122—81no—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61C23×D411yescharacteristic
816C2×D61—21no—
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—162no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—21no—
840C4×C61—21no—
841C4×C61—22no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61C2×H(5,𝔽2)11yescharacteristic
849C4×C61#58511yescharacteristic
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—21no—
854Dic61—21no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369D6111yescharacteristic, complemented
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—81no—
892C2×C61#348811yescharacteristic
893C2×C61#358411yescharacteristic
894C2×C61#358611yescharacteristic
895D61—41no—
896D61—41no—
897D61—41no—
898D61—81no—
899D61—81no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82C2×D6111yescharacteristic, complemented
911#556—611no—
912#556—611no—
913#556—611no—
914#556—1221no—
915#556—1221no—
916#556—1221no—
917#556C2×D6111yescharacteristic
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546—611no—
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489C2×D6111yescharacteristic
961#489C2×D6111yescharacteristic
962#487C2×D6111yescharacteristic, complemented
963#486—611no—
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476C2×D6111yescharacteristic
976#475C2×D6111yescharacteristic, complemented
977#475C2×D6111yescharacteristic, complemented
978#474—611no—
979#474—611no—
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464C2×D6111yescharacteristic
1002#464C2×D6111yescharacteristic
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462C2×D6111yescharacteristic, complemented
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460—611no—
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446C2×D6111yescharacteristic, complemented
1042#442—611no—
1043#441—611no—
1044#441C2×D6111yescharacteristic, complemented
1045#441C2×D6111yescharacteristic, complemented
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16C2×D6111yescharacteristic
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416—611no—
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41—611no—
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4—611no—
1082#137—2442no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—2442no—
1094C2×Q16C22×D6111yescharacteristic
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—611no—
1107C2×SD16—2442no—
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8—611no—
1118C4⋊Q8—21no—
1119C4⋊Q8—21no—
1120C4⋊Q8—21no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—1221no—
1124C4⋊Q8C22×D6111yescharacteristic
1125C4⋊Q8C22×D6111yescharacteristic
1126C4⋊Q8C22×D6111yescharacteristic
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—611no—
1130#127—1221no—
1131#126—21no—
1132#126—21no—
1133#126—611no—
1134#126—611no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—611no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124C22×D6111yescharacteristic
1169#124C22×D6111yescharacteristic
1170#123—611no—
1171#123—611no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—21no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—611no—
1193C22⋊Q8—611no—
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—
1206#121—611no—
1207#121—611no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—1221no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—21no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—1221no—
1240C4×Q8—1221no—
1241C4×Q8—1221no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8C22×D6111yescharacteristic
1247C4×Q8C22×D6111yescharacteristic
1248C4×Q8C22×D6111yescharacteristic
1249C4×Q8C22×D6111yescharacteristic
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4C22×D6111yescharacteristic
1272#117—21no—
1273#117—611no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—611no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117—1221no—
1286#117—1221no—
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107—611no—
1296#106—611no—
1297#106C22×D6111yescharacteristic
1298#106C22×D6111yescharacteristic
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8C22×D6111yescharacteristic
1308C4⋊C8C22×D6111yescharacteristic
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103C22×D6111yescharacteristic
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#103C22×D6111yescharacteristic
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97C22×D6111yescharacteristic
1351#97C22×D6111yescharacteristic
1352C4×C8—611no—
1353C4×C8C22×D6111yescharacteristic
1354C24—1221no—
1355#41—1222no—
1356#41—2441no—
1357#41—2441no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—21no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—611no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1222no—
1375C2×Q8—1222no—
1376C2×Q8—2441no—
1377C2×Q8—2441no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8D4×D6111yescharacteristic
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—611no—
1385C2×D4—611no—
1386C2×D4—611no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—611no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1221no—
1405C2×D4—2441no—
1406C2×D4—2441no—
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4—1221no—
1426Q16—22no—
1427Q16—22no—
1428Q16—1222no—
1429Q16—2441no—
1430Q16—2441no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—22no—
1436SD16—1222no—
1437SD16—1222no—
1438SD16—2441no—
1439SD16—2441no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—2441no—
1448D8—2441no—
1449D8—2441no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—611no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—2441no—
1457C2×C8—2441no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—611no—
1481C4⋊C4—611no—
1482C4⋊C4—611no—
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⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4D4×D6111yescharacteristic
1503C4⋊C4D4×D6111yescharacteristic
1504C4⋊C4D4×D6111yescharacteristic
1505C4⋊C4C23×D6111yescharacteristic
1506C4⋊C4C23×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—611no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
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—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—611no—
1559C42—611no—
1560C42—611no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42C23×D6111yescharacteristic
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—611no—
1575C23—611no—
1576C23—611no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—4881no—
1581C23—4881no—
1582C23—4881no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—41no—
1589Q8—81no—
1590Q8—81no—
1591Q8—81no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—1221no—
1597Q8—1221no—
1598Q8—4881no—
1599Q8—2442no—
1600Q8—2442no—
1601Q8#1451982312yes—
1602D4—21no—
1603D4—21no—
1604D4—1221no—
1605D4—1221no—
1606D4—1221no—
1607D4—1221no—
1608D4—1221no—
1609D4—1221no—
1610D4—4881no—
1611D4—4881no—
1612D4—4881no—
1613D4—4881no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—2441no—
1625D4—2441no—
1626D4—2441no—
1627D4—2442no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—81no—
1636C2×C4—611no—
1637C2×C4—611no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—4881no—
1653C2×C4—4881no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—2441no—
1661C2×C4—2441no—
1662C2×C4—2442no—
1663C2×C4—2442no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4C2×D4×D6111yescharacteristic
1667C2×C4C2×D4×D6111yescharacteristic
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—1221no—
1685C22—1221no—
1686C22—1221no—
1687C22—1221no—
1688C22—1221no—
1689C22—1221no—
1690C22—1221no—
1691C22—1221no—
1692C22—1221no—
1693C22—9762no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—22no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—1221no—
1721C4—1221no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4C2×#1451982311yescharacteristic
1728C4#1684059911yescharacteristic
1729C2—81no—
1730C2—4881no—
1731C2—4881no—
1732C2—4881no—
1733C2—2441no—
1734C2—2441no—
1735C2—2441no—
1736C2#2145948511yescharacteristic
1737C2#2146059111yescharacteristic
1738C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3369C2
socleC22×C61C23×D4
hypercenter#3369D61
hypocenterC61#62013
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. #21460414C2semidirect
2. #21459837C2semidirect
3. #21458894C2semidirect
4. #21458887C2semidirect
5. #21458633C2semidirect
6. #21458002C2semidirect
7. #21457974C2semidirect
8. #21457884C2semidirect
9. #21457852C2semidirect
10. #21457755C2semidirect
11. #21457735C2semidirect
12. #21457555C2semidirect
13. #21457528C2semidirect
14. #21457406C2semidirect
15. #21457391C2semidirect
16. #21457369C2semidirect
17. #21457324C2semidirect
18. #21457252C2semidirect
19. #21457229C2semidirect
20. #21457159C2semidirect
21. #21456931C2semidirect
22. #21456914C2semidirect
23. #21456831C2semidirect
24. #21456118C2semidirect
25. #21456107C2semidirect
26. #21455934C2semidirect
27. #21455344C2semidirect
28. #21455338C2semidirect
29. #21455273C2semidirect
30. #21454957C2semidirect
31. C61×#3369C2semidirect
34. C2×#14519800C22semidirect
36. C2×Q16×D61C22semidirect
44. #16840486C22semidirect
46. #16840485C22semidirect
55. #16840424C22semidirect
63. #16840386C22semidirect
73. #16840317C22semidirect
79. #16840238C22semidirect
80. C4×#11758226C22semidirect
82. #16840156C22semidirect
83. #16840154C22semidirect
88. #16840124C22semidirect
92. #16840101C22semidirect
94. #16840088C22semidirect
96. #16840072C22semidirect
97. #16840072C22semidirect
98. #16840067C22semidirect
99. #16840061C22semidirect
100. #16840054C22semidirect
102. #16840039C22semidirect
104. #16840016C22semidirect
108. #16840002C22semidirect
109. #16840002C22semidirect
114. #16839992C22semidirect
119. #16839985C22semidirect
121. #16839984C22semidirect
122. #16839984C22semidirect
125. #16839978C22semidirect
126. #16839978C22semidirect
129. #16839972C22semidirect
130. #16839971C22semidirect
131. #16839971C22semidirect
132. #16839970C22semidirect
133. #16839969C22semidirect
135. #16839966C22semidirect
144. #16839927C22semidirect
145. #16839927C22semidirect
148. #16839923C22semidirect
150. #16839919C22semidirect
156. #16839902C22semidirect
157. #16839902C22semidirect
160. #16839893C22semidirect
162. #16839870C22semidirect
165. #16839860C22semidirect
166. #16839860C22semidirect
167. C4×#11758202C22semidirect
168. C4×#11758202C22semidirect
169. C4×#11758190C22semidirect
171. #16839835C22semidirect
175. #16839827C22semidirect
177. #16839821C22semidirect
178. #16839817C22semidirect
180. #16839787C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839769C22semidirect
186. #16839757C22semidirect
188. Q82×C61C22semidirect
192. C61×#487C22semidirect
194. C61×#475C22semidirect
195. C61×#475C22semidirect
198. C61×#462C22semidirect
199. C61×#446C22semidirect
200. C61×#441C22semidirect
201. C61×#441C22semidirect
865. #3369D61semidirect
910. Q82C2×D61semidirect
962. #487C2×D61semidirect
976. #475C2×D61semidirect
977. #475C2×D61semidirect
1013. #462C2×D61semidirect
1041. #446C2×D61semidirect
1044. #441C2×D61semidirect
1045. #441C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604142
#214598372
#214588942
#214588872
#214586332
#214580022
#214579742
#214578842
#214578522
#214577552
#214577352
#214575552
#214575282
#214574062
#214573912
#214573692
#214573242
#214572522
#214572292
#214571592
#214569312
#214569142
#214568312
#214561182
#214561072
#214559342
#214553442
#214553382
#214552732
#214549572
C61×#33692
#6201361