Finite Group Databasebeta

← #30573469

Subgroups — #30573469

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#21459833C211yesmaximal, characteristic, complemented
3#21458885C211yesmaximal, characteristic, complemented
4#21458635C211yesmaximal, characteristic, complemented
5#21458555C211yesmaximal, characteristic, complemented
6#21458010C211yesmaximal, characteristic, complemented
7#21457982C211yesmaximal, characteristic, complemented
8#21457892C211yesmaximal, characteristic, complemented
9#21457860C211yesmaximal, characteristic, complemented
10#21457760C211yesmaximal, characteristic, complemented
11#21457739C211yesmaximal, characteristic, complemented
12#21457559C211yesmaximal, characteristic, complemented
13#21457532C211yesmaximal, characteristic, complemented
14#21457410C211yesmaximal, characteristic, complemented
15#21457395C211yesmaximal, characteristic, complemented
16#21457373C211yesmaximal, characteristic, complemented
17#21457328C211yesmaximal, characteristic, complemented
18#21457250C211yesmaximal, characteristic, complemented
19#21457227C211yesmaximal, characteristic, complemented
20#21457154C211yesmaximal, characteristic, complemented
21#21456923C211yesmaximal, characteristic, complemented
22#21456906C211yesmaximal, characteristic, complemented
23#21456825C211yesmaximal, characteristic, complemented
24#21456116C211yesmaximal, characteristic, complemented
25#21456109C211yesmaximal, characteristic, complemented
26#21455932C211yesmaximal, characteristic, complemented
27#21455344C211yesmaximal, characteristic, complemented
28#21455338C211yesmaximal, characteristic, complemented
29#21455271C211yesmaximal, characteristic, complemented
30#21454957C211yesmaximal, characteristic, complemented
31C61×#3402C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519809C2211yescharacteristic
34C2×#14519798C2211yescharacteristic, complemented
35C2×#14519796C2211yescharacteristic
36C2×Q16×D61C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic
38#16840508—21no—
39#16840503—21no—
40#16840497C2211yescharacteristic
41Q8×Dic122C2211yescharacteristic, complemented
42#16840485C2211yescharacteristic
43#16840485C2211yescharacteristic, complemented
44#16840483—21no—
45#16840479—21no—
46#16840479—21no—
47#16840477C2211yescharacteristic
48#16840475—21no—
49#16840463—21no—
50#16840436—21no—
51#16840434C2211yescharacteristic
52#16840427C2211yescharacteristic
53#16840424C2211yescharacteristic
54#16840420C2211yescharacteristic
55#16840420C2211yescharacteristic
56#16840420C2211yescharacteristic, complemented
57#16840415C2211yescharacteristic
58#16840407C2211yescharacteristic
59#16840405C2211yescharacteristic
60#16840381C2211yescharacteristic
61#16840381C2211yescharacteristic, complemented
62#16840378—21no—
63#16840378—21no—
64#16840370C2211yescharacteristic
65#16840367—21no—
66#16840363C2211yescharacteristic
67#16840353—21no—
68#16840352—21no—
69#16840351—21no—
70#16840337C2211yescharacteristic
71#16840330C2211yescharacteristic
72#16840317C2211yescharacteristic, complemented
73#16840315—21no—
74#16840311C2211yescharacteristic
75#16840299C2211yescharacteristic
76#16840299C2211yescharacteristic
77#16840298—21no—
78#16840238C2211yescharacteristic
79#16840238C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic, complemented
81#16840154C2211yescharacteristic, complemented
82#16840152C2211yescharacteristic
83#16840144C2211yescharacteristic
84#16840122C2211yescharacteristic
85#16840122C2211yescharacteristic, complemented
86#16840121C2211yescharacteristic
87#16840121C2211yescharacteristic
88#16840112C2211yescharacteristic, complemented
89#16840109C2211yescharacteristic
90#16840105C2211yescharacteristic
91#16840102C2211yescharacteristic
92#16840102C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic
94#16840089C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic
96#16840071C2211yescharacteristic, complemented
97#16840071C2211yescharacteristic, complemented
98#16840068C2211yescharacteristic, complemented
99#16840060C2211yescharacteristic, complemented
100#16840058C2211yescharacteristic, complemented
101#16840052C2211yescharacteristic
102#16840047C2211yescharacteristic, complemented
103#16840047C2211yescharacteristic, complemented
104#16840043C2211yescharacteristic
105#16840043C2211yescharacteristic, complemented
106#16840019C2211yescharacteristic
107#16840014C2211yescharacteristic, complemented
108#16840005C2211yescharacteristic
109#16840005C2211yescharacteristic
110#16840000C2211yescharacteristic
111#16840000C2211yescharacteristic, complemented
112#16840000C2211yescharacteristic, complemented
113#16839995C2211yescharacteristic
114#16839994C2211yescharacteristic
115#16839994C2211yescharacteristic
116#16839994C2211yescharacteristic, complemented
117#16839990C2211yescharacteristic
118#16839987C2211yescharacteristic
119#16839986C2211yescharacteristic
120#16839986C2211yescharacteristic
121#16839985C2211yescharacteristic
122#16839985C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic
124#16839981C2211yescharacteristic
125#16839981C2211yescharacteristic
126#16839981C2211yescharacteristic, complemented
127#16839979C2211yescharacteristic
128#16839977C2211yescharacteristic, complemented
129#16839974C2211yescharacteristic, complemented
130#16839971C2211yescharacteristic, complemented
131#16839970C2211yescharacteristic, complemented
132#16839970C2211yescharacteristic, complemented
133#16839969C2211yescharacteristic, complemented
134#16839965C2211yescharacteristic, complemented
135#16839964C2211yescharacteristic
136#16839963C2211yescharacteristic
137#16839962C2211yescharacteristic
138#16839961C2211yescharacteristic
139#16839960C2211yescharacteristic
140#16839960C2211yescharacteristic
141#16839955C2211yescharacteristic
142#16839923C2211yescharacteristic
143#16839923C2211yescharacteristic
144#16839923C2211yescharacteristic, complemented
145#16839923C2211yescharacteristic, complemented
146#16839921C2211yescharacteristic
147#16839921C2211yescharacteristic
148#16839921C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic
150#16839916C2211yescharacteristic
151#16839916C2211yescharacteristic, complemented
152#16839911C2211yescharacteristic
153#16839908C2211yescharacteristic
154#16839906C2211yescharacteristic
155#16839906C2211yescharacteristic
156#16839902C2211yescharacteristic, complemented
157#16839899C2211yescharacteristic
158#16839899C2211yescharacteristic, complemented
159#16839894C2211yescharacteristic
160#16839893C2211yescharacteristic, complemented
161#16839872C2211yescharacteristic
162#16839867C2211yescharacteristic, complemented
163#16839867C2211yescharacteristic, complemented
164#16839867C2211yescharacteristic, complemented
165#16839864C2211yescharacteristic
166#16839864C2211yescharacteristic, complemented
167C4×Dic244C2211yescharacteristic, complemented
168C4×#11758201C2211yescharacteristic, complemented
169C4×#11758200C2211yescharacteristic
170#16839835C2211yescharacteristic
171#16839835C2211yescharacteristic
172#16839832C2211yescharacteristic
173#16839832C2211yescharacteristic, complemented
174C8×D244C2211yescharacteristic, complemented
175#16839827C2211yescharacteristic
176#16839824C2211yescharacteristic, complemented
177#16839821C2211yescharacteristic
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
188C61×#556C2211yescharacteristic
189C61×#556C2211yescharacteristic, complemented
190C61×#497C2211yescharacteristic
191C61×#497C2211yescharacteristic, complemented
192C61×#495C2211yescharacteristic
193C61×#464C2211yescharacteristic
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#462C2211yescharacteristic, complemented
198C61×#462C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic, complemented
202C4×Q16×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×#11758224C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×D4×D61C2311yescharacteristic
212#14519809—42no—
213#14519809—42no—
214#14519798—42no—
215#14519796—42no—
216C2×Dic244C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221Q16×D61—42no—
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230SD16×D61—42no—
231C2×#11758199C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C2×#11758189C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238C2×C8×D61C2311yescharacteristic
239#14519777C2311yescharacteristic
240#14519777C2311yescharacteristic
241#14519777C2311yescharacteristic
242#14519776—21no—
243#14519776—21no—
244#14519776—21no—
245#14519776—21no—
246#14519775C2311yescharacteristic
247#14519774—21no—
248#14519774C2311yescharacteristic
249#14519773C2311yescharacteristic
250#14519772—21no—
251#14519772—21no—
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772D411yescharacteristic
257#14519772D411yescharacteristic
258#14519771—21no—
259#14519770—21no—
260#14519770—21no—
261#14519769—21no—
262#14519768—21no—
263#14519768D411yescharacteristic
264#14519768C2311yescharacteristic
265#14519767—21no—
266#14519766—21no—
267#14519766D411yescharacteristic
268#14519766C2311yescharacteristic
269#14519765—21no—
270#14519765—21no—
271#14519765—21no—
272#14519765C2311yescharacteristic
273#14519765C2311yescharacteristic
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519762D411yescharacteristic
289#14519762D411yescharacteristic
290#14519761—21no—
291#14519761—21no—
292#14519761—21no—
293#14519760—21no—
294#14519759—21no—
295#14519759—21no—
296#14519757—21no—
297#14519757—21no—
298#14519757C2311yescharacteristic
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519753D411yescharacteristic
309#14519753C2311yescharacteristic
310#14519753C2311yescharacteristic
311#14519753C2311yescharacteristic
312#14519753C2311yescharacteristic
313#14519753C2311yescharacteristic
314#14519753C2311yescharacteristic
315#14519752—21no—
316#14519752—21no—
317#14519752—21no—
318#14519752—21no—
319#14519752D411yescharacteristic
320#14519752C2311yescharacteristic
321#14519752C2311yescharacteristic
322#14519751—21no—
323#14519751—21no—
324#14519751—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519750—21no—
331#14519750—21no—
332#14519750—21no—
333#14519750—21no—
334#14519748C2311yescharacteristic
335#14519748C2311yescharacteristic
336#14519748C2311yescharacteristic
337#14519747—21no—
338#14519747—21no—
339#14519747—21no—
340#14519747—21no—
341Q8×Dic61—21no—
342Q8×Dic61C2311yescharacteristic
343Q8×Dic61C2311yescharacteristic
344C4×Dic122—21no—
345C4×Dic122—21no—
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122C2311yescharacteristic
349C4×Dic122C2311yescharacteristic
350C4×Dic122C2311yescharacteristic
351C4×Dic122C2311yescharacteristic
352#14519742—21no—
353#14519742—21no—
354#14519742—21no—
355#14519742C2311yescharacteristic
356C4×D244—21no—
357C4×D244—21no—
358C4×D244—21no—
359C4×D244C2311yescharacteristic
360C4×D244C2311yescharacteristic
361C4×D244C2311yescharacteristic
362C4×D244C2311yescharacteristic
363C4×D244C2311yescharacteristic
364D4×Dic61C2311yescharacteristic
365#14519739—21no—
366#14519739—21no—
367C4×C22⋊D61—21no—
368#14519737—21no—
369#14519737—21no—
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519736—21no—
375#14519735—21no—
376#14519735—21no—
377#14519735—21no—
378#14519735C2311yescharacteristic
379#14519735C2311yescharacteristic
380#14519735C2311yescharacteristic
381#14519734—21no—
382#14519734—21no—
383#14519734—21no—
384#14519734C2311yescharacteristic
385#14519734C2311yescharacteristic
386#14519733—21no—
387C4⋊C4×D61—21no—
388C2×#11758198—21no—
389C22⋊C4×D61—21no—
390C2×C4×Dic61—21no—
391C42×D61C2311yescharacteristic
392#14519711C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
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×Q16×C61C2311yescharacteristic
444C2×Q16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×D8×C61C2311yescharacteristic
450C4⋊Q8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#126×C61—21no—
453#126×C61—21no—
454#126×C61—21no—
455#126×C61—21no—
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#124×C61C2311yescharacteristic
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61—21no—
462C4×Q8×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×Q8×C61C2311yescharacteristic
466C4×Q8×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469#117×C61—21no—
470#117×C61—21no—
471#107×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C2×Q8×C61C2×D411yescharacteristic
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505#11758226—41no—
506#11758226—41no—
507#11758226—41no—
508#11758226—41no—
509#11758226—41no—
510#11758226—41no—
511Q8×D61—22no—
512Q8×D61—22no—
513Q8×D61—41no—
514Q8×D61—41no—
515Q8×D61—41no—
516Q8×D61—41no—
517#11758224—22no—
518#11758224—41no—
519#11758224—41no—
520#11758224—41no—
521D4×D61—41no—
522D4×D61—41no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244C2×D411yescharacteristic
531C2×D244C2×D411yescharacteristic
532C2×D244C2×D411yescharacteristic
533C2×D244C2411yescharacteristic
534C2×D244C2411yescharacteristic
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×D61C2×D411yescharacteristic
544C2×C4×D61C2×D411yescharacteristic
545C2×C4×D61C2411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×C4×D61C2411yescharacteristic
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—41no—
557Q16×C61—41no—
558Q16×C61—41no—
559Q16×C61—41no—
560SD16×C61—41no—
561SD16×C61—41no—
562SD16×C61—41no—
563SD16×C61—41no—
564D8×C61—41no—
565C2×C8×C61C2411yescharacteristic
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61C2×D411yescharacteristic
578C4⋊C4×C61C2×D411yescharacteristic
579C4⋊C4×C61C2×D411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C42×C61—21no—
593C42×C61—21no—
594C42×C61—21no—
595C42×C61—21no—
596C42×C61C2411yescharacteristic
597C42×C61C2411yescharacteristic
598C42×C61C2411yescharacteristic
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603#11758202—22no—
604#11758202—22no—
605#11758202—41no—
606#11758202—41no—
607#11758201—41no—
608#11758201—41no—
609#11758201—41no—
610#11758201—41no—
611#11758200—22no—
612#11758200—41no—
613#11758199—41no—
614#11758199—41no—
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#11758198—21no—
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
644#11758198C2×D411yescharacteristic
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2×D411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
658C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694Dic244—22no—
695#11758190—22no—
696#11758190—22no—
697#11758189—41no—
698#11758189—41no—
699C8×D61—41no—
700C8×D61—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—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—21no—
719Q8×C61—21no—
720Q8×C61—21no—
721Q8×C61—41no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×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—42no—
733C2×C4×C61—81no—
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C2511yescharacteristic
741C22⋊D61—42no—
742C22⋊D61—81no—
743C22⋊D61—81no—
744C22⋊D61—81no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—42no—
756C2×Dic61—81no—
757C2×Dic61—81no—
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763D244—21no—
764D244—21no—
765D244—21no—
766D244—21no—
767D244—41no—
768D244—41no—
769D244—41no—
770D244—81no—
771D244—81no—
772D244—81no—
773D244—81no—
774D244—81no—
775D244—81no—
776D244—81no—
777C4×D61—21no—
778C4×D61—21no—
779C4×D61—21no—
780C4×D61—21no—
781C4×D61—21no—
782C4×D61—21no—
783C4×D61—41no—
784C4×D61—41no—
785C4×D61—42no—
786C4×D61—42no—
787C4×D61—81no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791C4×D61—81no—
792C4×D61—81no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—42no—
797Dic122—42no—
798Dic122—81no—
799Dic122—81no—
800Dic122—81no—
801Dic122—81no—
802Dic122H(5,𝔽2)12yes—
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×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61C23×D411yescharacteristic
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—21no—
826C2×D61—21no—
827C2×D61—21no—
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—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61C2×H(5,𝔽2)11yescharacteristic
848C4×C61#58511yescharacteristic
849Dic61—21no—
850Dic61—21no—
851Dic61—22no—
852Dic61—21no—
853Dic61—21no—
854Dic61—21no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402D6111yescharacteristic, complemented
863#3401—611no—
864#3375—611no—
865#3369—611no—
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—81no—
893C2×C61#348811yescharacteristic
894C2×C61#358411yescharacteristic
895C2×C61#358611yescharacteristic
896D61—41no—
897D61—41no—
898D61—41no—
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—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—1221no—
914#556—1221no—
915#556—1221no—
916#556C2×D6111yescharacteristic
917#556C2×D6111yescharacteristic, complemented
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#497C2×D6111yescharacteristic
954#497C2×D6111yescharacteristic, complemented
955#496—611no—
956#495—611no—
957#495C2×D6111yescharacteristic
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487—611no—
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#476—611no—
976#475—611no—
977#475—611no—
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, complemented
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463C2×D6111yescharacteristic
1007#463C2×D6111yescharacteristic
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462C2×D6111yescharacteristic, complemented
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#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440C2×D6111yescharacteristic
1049#440C2×D6111yescharacteristic, complemented
1050C4×Q16—611no—
1051C4×Q16C2×D6111yescharacteristic, complemented
1052C4×SD16—611no—
1053C4×SD16—611no—
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—2442no—
1092C2×Q16C22×D6111yescharacteristic
1093C2×Q16C22×D6111yescharacteristic
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—2442no—
1105C2×SD16C22×D6111yescharacteristic
1106C2×SD16C22×D6111yescharacteristic
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8C22×D6111yescharacteristic
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8—611no—
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—1221no—
1123C4⋊Q8—1221no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8C22×D6111yescharacteristic
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—611no—
1130#127—1221no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—611no—
1136#126—611no—
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—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#124—1221no—
1165#124—1221no—
1166#124C22×D6111yescharacteristic
1167#124C22×D6111yescharacteristic
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—21no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—611no—
1193C22⋊Q8—611no—
1194C22⋊Q8—611no—
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—611no—
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×Q8—1221no—
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—1221no—
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×D4C22×D6111yescharacteristic
1271C4×D4C22×D6111yescharacteristic
1272#117—21no—
1273#117—21no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—611no—
1278#117—611no—
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#107C22×D6111yescharacteristic
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
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#103—611no—
1322#103—611no—
1323#103—611no—
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#102—611no—
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—611no—
1366C2×Q8—611no—
1367C2×Q8—1221no—
1368C2×Q8—1221no—
1369C2×Q8—1221no—
1370C2×Q8—1221no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1222no—
1374C2×Q8—1222no—
1375C2×Q8—2441no—
1376C2×Q8—2441no—
1377C2×Q8—2441no—
1378C2×Q8—2441no—
1379C2×Q8D4×D6111yescharacteristic
1380C2×Q8C23×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—1221no—
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—2441no—
1405C2×D4—2441no—
1406C2×D4C23×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
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—41no—
1427Q16—41no—
1428Q16—41no—
1429Q16—41no—
1430Q16—1222no—
1431Q16—1222no—
1432Q16—1222no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—41no—
1436SD16—41no—
1437SD16—41no—
1438SD16—41no—
1439SD16—1222no—
1440SD16—1222no—
1441SD16—1222no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—41no—
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—611no—
1473C4⋊C4—611no—
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⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4D4×D6111yescharacteristic
1505C4⋊C4D4×D6111yescharacteristic
1506C4⋊C4D4×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
1526C22⋊C4—611no—
1527C22⋊C4—611no—
1528C22⋊C4—611no—
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—611no—
1558C42—611no—
1559C42—611no—
1560C42—1221no—
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—21no—
1575C23—611no—
1576C23—611no—
1577C23—611no—
1578C23—1221no—
1579C23—1221no—
1580C23—4881no—
1581C23—4881no—
1582C23—4881no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—41no—
1592Q8—612no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—4881no—
1600Q8—2442no—
1601Q8—2442no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
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—42no—
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—1221no—
1653C2×C4—4881no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—2441no—
1662C2×C4—2441no—
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—41no—
1685C22—41no—
1686C22—41no—
1687C22—1221no—
1688C22—1221no—
1689C22—1221no—
1690C22—1221no—
1691C22—1221no—
1692C22—1221no—
1693C22—1221no—
1694C22—1221no—
1695C22—1221no—
1696C22—9762no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—1222no—
1720C4—1221no—
1721C4—1221no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4H(5,𝔽2)×D6111yescharacteristic
1728C4#1684059811yescharacteristic
1729C2—81no—
1730C2—81no—
1731C2—4881no—
1732C2—4881no—
1733C2—2441no—
1734C2—2441no—
1735C2—2441no—
1736C2#2145948711yescharacteristic
1737C2#2146058911yescharacteristic
1738C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3402C2
socleC22×C61C23×D4
hypercenter#3402D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3402

Complements

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

NH ≅ G/Ntype
1. #21460414C2semidirect
2. #21459833C2semidirect
3. #21458885C2semidirect
4. #21458635C2semidirect
5. #21458555C2semidirect
6. #21458010C2semidirect
7. #21457982C2semidirect
8. #21457892C2semidirect
9. #21457860C2semidirect
10. #21457760C2semidirect
11. #21457739C2semidirect
12. #21457559C2semidirect
13. #21457532C2semidirect
14. #21457410C2semidirect
15. #21457395C2semidirect
16. #21457373C2semidirect
17. #21457328C2semidirect
18. #21457250C2semidirect
19. #21457227C2semidirect
20. #21457154C2semidirect
21. #21456923C2semidirect
22. #21456906C2semidirect
23. #21456825C2semidirect
24. #21456116C2semidirect
25. #21456109C2semidirect
26. #21455932C2semidirect
27. #21455344C2semidirect
28. #21455338C2semidirect
29. #21455271C2semidirect
30. #21454957C2semidirect
31. C61×#3402C2semidirect
34. C2×#14519798C22semidirect
36. C2×Q16×D61C22semidirect
41. Q8×Dic122C22semidirect
43. #16840485C22semidirect
56. #16840420C22semidirect
61. #16840381C22semidirect
72. #16840317C22semidirect
79. #16840238C22semidirect
80. C4×#11758224C22semidirect
81. #16840154C22semidirect
85. #16840122C22semidirect
88. #16840112C22semidirect
92. #16840102C22semidirect
94. #16840089C22semidirect
96. #16840071C22semidirect
97. #16840071C22semidirect
98. #16840068C22semidirect
99. #16840060C22semidirect
100. #16840058C22semidirect
102. #16840047C22semidirect
103. #16840047C22semidirect
105. #16840043C22semidirect
107. #16840014C22semidirect
111. #16840000C22semidirect
112. #16840000C22semidirect
116. #16839994C22semidirect
122. #16839985C22semidirect
126. #16839981C22semidirect
128. #16839977C22semidirect
129. #16839974C22semidirect
130. #16839971C22semidirect
131. #16839970C22semidirect
132. #16839970C22semidirect
133. #16839969C22semidirect
134. #16839965C22semidirect
144. #16839923C22semidirect
145. #16839923C22semidirect
148. #16839921C22semidirect
151. #16839916C22semidirect
156. #16839902C22semidirect
158. #16839899C22semidirect
160. #16839893C22semidirect
162. #16839867C22semidirect
163. #16839867C22semidirect
164. #16839867C22semidirect
166. #16839864C22semidirect
167. C4×Dic244C22semidirect
168. C4×#11758201C22semidirect
173. #16839832C22semidirect
174. C8×D244C22semidirect
176. #16839824C22semidirect
178. #16839817C22semidirect
180. #16839787C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839769C22semidirect
186. #16839757C22semidirect
189. C61×#556C22semidirect
191. C61×#497C22semidirect
194. C61×#464C22semidirect
197. C61×#462C22semidirect
198. C61×#462C22semidirect
199. C61×#446C22semidirect
201. C61×#440C22semidirect
202. C4×Q16×C61C22semidirect
862. #3402D61semidirect
917. #556C2×D61semidirect
954. #497C2×D61semidirect
1002. #464C2×D61semidirect
1012. #462C2×D61semidirect
1013. #462C2×D61semidirect
1041. #446C2×D61semidirect
1049. #440C2×D61semidirect
1051. C4×Q16C2×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
#214598332
#214588852
#214586352
#214585552
#214580102
#214579822
#214578922
#214578602
#214577602
#214577392
#214575592
#214575322
#214574102
#214573952
#214573732
#214573282
#214572502
#214572272
#214571542
#214569232
#214569062
#214568252
#214561162
#214561092
#214559322
#214553442
#214553382
#214552712
#214549572
C61×#34022
#6201361