Finite Group Databasebeta

← #30575496

Subgroups — #30575496

Order 15616.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460336C211yesmaximal, characteristic, complemented
2#21459829C211yesmaximal, characteristic, complemented
3#21458889C211yesmaximal, characteristic, complemented
4#21458886C211yesmaximal, characteristic, complemented
5#21458632C211yesmaximal, characteristic, complemented
6#21458630C211yesmaximal, characteristic, complemented
7#21458048C211yesmaximal, characteristic, complemented
8#21458044C211yesmaximal, characteristic, complemented
9#21457978C211yesmaximal, characteristic, complemented
10#21457971C211yesmaximal, characteristic, complemented
11#21457886C211yesmaximal, characteristic, complemented
12#21457476C211yesmaximal, characteristic, complemented
13#21457472C211yesmaximal, characteristic, complemented
14#21457327C211yesmaximal, characteristic, complemented
15#21457326C211yesmaximal, characteristic, complemented
16#21457321C211yesmaximal, characteristic, complemented
17#21457319C211yesmaximal, characteristic, complemented
18#21457282C211yesmaximal, characteristic, complemented
19#21457281C211yesmaximal, characteristic, complemented
20#21457201C211yesmaximal, characteristic, complemented
21#21456919C211yesmaximal, characteristic, complemented
22#21456914C211yesmaximal, characteristic, complemented
23#21456821C211yesmaximal, characteristic, complemented
24#21456052C211yesmaximal, characteristic, complemented
25#21456051C211yesmaximal, characteristic, complemented
26#21455965C211yesmaximal, characteristic, complemented
27#21455343C211yesmaximal, characteristic, complemented
28#21455338C211yesmaximal, characteristic, complemented
29#21455316C211yesmaximal, characteristic, complemented
30#21454990C211yesmaximal, characteristic, complemented
31C61×#3313C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic, complemented
33C2×#14519808C2211yescharacteristic, complemented
34C2×#14519807C2211yescharacteristic, complemented
35C2×#14519805C2211yescharacteristic
36C22×#11758190C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic, complemented
38#16840508—21no—
39#16840504—21no—
40#16840497C2211yescharacteristic
41#16840494C2211yescharacteristic
42#16840492C2211yescharacteristic, complemented
43#16840484—21no—
44#16840484C2211yescharacteristic, complemented
45#16840480C2211yescharacteristic, complemented
46#16840479—21no—
47#16840479—21no—
48#16840475C2211yescharacteristic, complemented
49#16840474—21no—
50#16840425C2211yescharacteristic, complemented
51#16840423C2211yescharacteristic
52#16840422C2211yescharacteristic, complemented
53#16840421C2211yescharacteristic, complemented
54#16840407—21no—
55#16840403C2211yescharacteristic
56#16840401—21no—
57#16840400C2211yescharacteristic
58D4×D244C2211yescharacteristic
59#16840396C2211yescharacteristic
60#16840386C2211yescharacteristic, complemented
61#16840385C2211yescharacteristic
62#16840385C2211yescharacteristic, complemented
63#16840384C2211yescharacteristic
64#16840378—21no—
65#16840376—21no—
66#16840352—21no—
67#16840346—21no—
68#16840345—21no—
69#16840330C2211yescharacteristic
70#16840326C2211yescharacteristic
71#16840320—21no—
72#16840316—21no—
73#16840314C2211yescharacteristic, complemented
74#16840307C2211yescharacteristic
75#16840295—21no—
76#16840292C2211yescharacteristic
77C2×#14519766C2211yescharacteristic
78#16840239C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80#16840230C2211yescharacteristic, complemented
81#16840155C2211yescharacteristic, complemented
82#16840155C2211yescharacteristic, complemented
83#16840151C2211yescharacteristic
84#16840148C2211yescharacteristic
85#16840147C2211yescharacteristic, complemented
86#16840144C2211yescharacteristic, complemented
87#16840123C2211yescharacteristic, complemented
88#16840123C2211yescharacteristic, complemented
89#16840123C2211yescharacteristic, complemented
90#16840110C2211yescharacteristic
91#16840107C2211yescharacteristic
92#16840102C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840086C2211yescharacteristic, complemented
96#16840056C2211yescharacteristic, complemented
97#16840055C2211yescharacteristic, complemented
98#16840055C2211yescharacteristic, complemented
99#16840046C2211yescharacteristic, complemented
100#16840041C2211yescharacteristic, complemented
101#16840041C2211yescharacteristic, complemented
102#16840041C2211yescharacteristic, complemented
103#16840040C2211yescharacteristic, complemented
104#16840039C2211yescharacteristic, complemented
105#16840011C2211yescharacteristic, complemented
106#16840010C2211yescharacteristic
107#16840010C2211yescharacteristic, complemented
108#16840010C2211yescharacteristic, complemented
109#16840009C2211yescharacteristic
110#16840008C2211yescharacteristic, complemented
111#16840006C2211yescharacteristic, complemented
112#16840002C2211yescharacteristic, complemented
113#16839999C2211yescharacteristic
114#16839998C2211yescharacteristic
115#16839987C2211yescharacteristic, complemented
116#16839987C2211yescharacteristic, complemented
117#16839987C2211yescharacteristic, complemented
118#16839987C2211yescharacteristic, complemented
119#16839987C2211yescharacteristic, complemented
120#16839987C2211yescharacteristic, complemented
121#16839987C2211yescharacteristic, complemented
122#16839987C2211yescharacteristic, complemented
123#16839986C2211yescharacteristic, complemented
124#16839986C2211yescharacteristic, complemented
125#16839986C2211yescharacteristic, complemented
126#16839984C2211yescharacteristic, complemented
127#16839981C2211yescharacteristic, complemented
128#16839980C2211yescharacteristic, complemented
129#16839980C2211yescharacteristic, complemented
130#16839980C2211yescharacteristic, complemented
131#16839980C2211yescharacteristic, complemented
132#16839980C2211yescharacteristic, complemented
133#16839978C2211yescharacteristic, complemented
134#16839966C2211yescharacteristic, complemented
135#16839965C2211yescharacteristic, complemented
136#16839963C2211yescharacteristic
137#16839962C2211yescharacteristic
138#16839961C2211yescharacteristic
139#16839961C2211yescharacteristic
140#16839961C2211yescharacteristic, complemented
141#16839961C2211yescharacteristic, complemented
142#16839960C2211yescharacteristic, complemented
143#16839956C2211yescharacteristic, complemented
144#16839927C2211yescharacteristic, complemented
145#16839918C2211yescharacteristic, complemented
146#16839917C2211yescharacteristic, complemented
147#16839916C2211yescharacteristic, complemented
148#16839915C2211yescharacteristic
149#16839914C2211yescharacteristic, complemented
150#16839912C2211yescharacteristic
151#16839912C2211yescharacteristic, complemented
152#16839910C2211yescharacteristic, complemented
153#16839909C2211yescharacteristic, complemented
154#16839907C2211yescharacteristic, complemented
155#16839905C2211yescharacteristic, complemented
156#16839903C2211yescharacteristic
157#16839902C2211yescharacteristic
158#16839898C2211yescharacteristic, complemented
159#16839897C2211yescharacteristic, complemented
160#16839890C2211yescharacteristic, complemented
161#16839889C2211yescharacteristic, complemented
162#16839873C2211yescharacteristic, complemented
163#16839871C2211yescharacteristic, complemented
164#16839866C2211yescharacteristic, complemented
165#16839864C2211yescharacteristic, complemented
166#16839861C2211yescharacteristic, complemented
167#16839861C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic, complemented
169C4×#11758202C2211yescharacteristic, complemented
170#16839854C2211yescharacteristic, complemented
171C4×#11758201C2211yescharacteristic, complemented
172#16839849C2211yescharacteristic, complemented
173#16839840C2211yescharacteristic, complemented
174#16839837C2211yescharacteristic, complemented
175#16839836C2211yescharacteristic, complemented
176#16839833C2211yescharacteristic, complemented
177#16839831C2211yescharacteristic, complemented
178#16839824C2211yescharacteristic, complemented
179#16839820C2211yescharacteristic, complemented
180#16839816C2211yescharacteristic, complemented
181#16839788C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183#16839785C2211yescharacteristic, complemented
184#16839766C2211yescharacteristic
185#16839766C2211yescharacteristic, complemented
186#16839765C2211yescharacteristic, complemented
187#16839757C2211yescharacteristic, complemented
188C61×#556C2211yescharacteristic, complemented
189C61×#548C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#477C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#467C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic, complemented
199C61×#441C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#419C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758224—21no—
206C22×Dic122C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C2×D4×D61—21no—
211C2×D4×D61—21no—
212C2×D4×D61C2311yescharacteristic
213#14519809—42no—
214#14519808—42no—
215#14519807—42no—
216#14519805—42no—
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758190—42no—
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235SD16×D61—42no—
236C2×D488C2311yescharacteristic
237C2×D488C2311yescharacteristic
238C2×D488C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758194C2311yescharacteristic
241C2×#11758194C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244#14519776—21no—
245#14519776—21no—
246#14519776C2311yescharacteristic
247#14519776C2311yescharacteristic
248#14519776C2311yescharacteristic
249#14519775—21no—
250#14519775—21no—
251#14519775C2311yescharacteristic
252#14519774C2311yescharacteristic
253#14519773C2311yescharacteristic
254#14519773C2311yescharacteristic
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772D411yescharacteristic
260#14519771—21no—
261#14519771—21no—
262#14519771—21no—
263#14519770—21no—
264#14519770D411yescharacteristic
265#14519767—21no—
266#14519767D411yescharacteristic
267#14519766—21no—
268#14519766—21no—
269#14519766—21no—
270#14519766—21no—
271#14519766C2311yescharacteristic
272#14519766C2311yescharacteristic
273#14519766C2311yescharacteristic
274#14519766C2311yescharacteristic
275#14519766C2311yescharacteristic
276#14519766C2311yescharacteristic
277#14519765—21no—
278#14519765—21no—
279#14519765—21no—
280#14519765C2311yescharacteristic
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763D411yescharacteristic
290#14519762—21no—
291#14519762—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762—21no—
295#14519761—21no—
296#14519761D411yescharacteristic
297#14519760—21no—
298#14519759—21no—
299#14519759—21no—
300#14519759—21no—
301#14519758D411yescharacteristic
302#14519757—21no—
303#14519757—21no—
304#14519757C2311yescharacteristic
305#14519756C2311yescharacteristic
306#14519755—21no—
307#14519755—21no—
308#14519755—21no—
309#14519755—21no—
310#14519755—21no—
311#14519754—21no—
312#14519754—21no—
313#14519754D411yescharacteristic
314#14519753—21no—
315#14519753—21no—
316#14519753C2311yescharacteristic
317#14519752—21no—
318#14519752—21no—
319#14519752C2311yescharacteristic
320#14519752C2311yescharacteristic
321#14519751—21no—
322#14519751—21no—
323#14519751—21no—
324#14519751C2311yescharacteristic
325#14519751C2311yescharacteristic
326#14519751C2311yescharacteristic
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519750—21no—
331#14519750—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749D411yescharacteristic
336#14519747—21no—
337#14519747—21no—
338#14519747—21no—
339#14519747—21no—
340#14519747—21no—
341#14519747—21no—
342#14519745—21no—
343#14519745—21no—
344#14519745—21no—
345#14519745—21no—
346Q8×Dic61C2311yescharacteristic
347Q8×Dic61C2311yescharacteristic
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122—21no—
351C4×Dic122—21no—
352C4×Dic122C2311yescharacteristic
353C4×Dic122C2311yescharacteristic
354#14519742—21no—
355#14519742—21no—
356#14519742—21no—
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360#14519742C2311yescharacteristic
361#14519742C2311yescharacteristic
362C4×D244—21no—
363C4×D244C2311yescharacteristic
364D4×Dic61C2311yescharacteristic
365#14519739—21no—
366#14519739C2311yescharacteristic
367#14519739C2311yescharacteristic
368#14519739C2311yescharacteristic
369#14519739C2311yescharacteristic
370C4×C22⋊D61—21no—
371C4×C22⋊D61C2311yescharacteristic
372C4×C22⋊D61C2311yescharacteristic
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519737—21no—
378#14519737—21no—
379#14519736C2311yescharacteristic
380#14519735—21no—
381#14519735C2311yescharacteristic
382#14519734—21no—
383#14519734—21no—
384#14519734—21no—
385#14519734—21no—
386#14519734C2311yescharacteristic
387#14519733—21no—
388#14519733—21no—
389#14519733—21no—
390C2×#11758198—21no—
391C2×#11758198—21no—
392C2×#11758198—21no—
393C22⋊C4×D61—21no—
394C2×C4×Dic61C2311yescharacteristic
395C42×D61—21no—
396#14519711C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519710C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C4×#92418C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×Q8×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×Q16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#126×C61—21no—
450#126×C61—21no—
451#124×C61—21no—
452#124×C61—21no—
453#124×C61C2311yescharacteristic
454C22⋊Q8×C61—21no—
455C22⋊Q8×C61C2311yescharacteristic
456C22⋊Q8×C61C2311yescharacteristic
457C22⋊Q8×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61C2311yescharacteristic
460C4×Q8×C61—21no—
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61—21no—
464C4×D4×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466#117×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#106×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
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61—21no—
491C2×Q8×C61—41no—
492C2×Q8×C61—41no—
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61C2×D411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61C2411yescharacteristic
503C22×C4×C61C2411yescharacteristic
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61C2×D411yescharacteristic
514C2×C22⋊D61C2×D411yescharacteristic
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61C2×D411yescharacteristic
518C22×Dic61C2×D411yescharacteristic
519#11758226—41no—
520#11758226—41no—
521Q8×D61—22no—
522Q8×D61—41no—
523#11758224—82no—
524D4×D61—41no—
525D4×D61—41no—
526D4×D61—82no—
527D4×D61—82no—
528#11758222—22no—
529#11758222—41no—
530C2×D244—21no—
531C2×D244—21no—
532C2×D244—21no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244—21no—
537C2×D244—41no—
538C2×D244—41no—
539C2×D244—41no—
540C2×D244—41no—
541C2×D244C2411yescharacteristic
542C2×D244C2411yescharacteristic
543C2×D244C2411yescharacteristic
544C2×D244C2411yescharacteristic
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61C2411yescharacteristic
554C2×Dic122—22no—
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122—21no—
558C2×Dic122—21no—
559C2×Dic122—21no—
560C2×Dic122—41no—
561C2×Dic122C2×D411yescharacteristic
562C2×Dic122C2411yescharacteristic
563C2×Dic122C2411yescharacteristic
564Q16×C61—41no—
565Q16×C61—41no—
566SD16×C61—41no—
567M16×C61—41no—
568C2×C8×C61—41no—
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C2×C8×C61C2411yescharacteristic
572C2×C8×C61C2411yescharacteristic
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61C2×D411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C4⋊C4×C61C2411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
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—
592C22⋊C4×C61C2×D411yescharacteristic
593C22⋊C4×C61C2×D411yescharacteristic
594C42×C61—21no—
595C42×C61—21no—
596C42×C61—21no—
597C42×C61—21no—
598C42×C61C2411yescharacteristic
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61C2×D411yescharacteristic
602C22⋊Dic61C2×D411yescharacteristic
603C22⋊Dic61C2×D411yescharacteristic
604C22⋊Dic61C2×D411yescharacteristic
605#11758202—22no—
606#11758202—22no—
607#11758202—41no—
608#11758202—41no—
609#11758201—41no—
610#11758201—41no—
611#11758201—41no—
612#11758201—41no—
613#11758201—41no—
614#11758200—22no—
615#11758200—41no—
616#11758199—41no—
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#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
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#11758196—21no—
668#11758196—21no—
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C4×Dic61C2411yescharacteristic
689#11758194—41no—
690#11758194—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695D488—41no—
696D488—41no—
697D488—41no—
698#11758190—22no—
699#11758190—22no—
700#11758190—22no—
701#11758190—41no—
702#11758190—41no—
703#11758190—41no—
704#11758189—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61C22×D411yescharacteristic
708C23×C61C22×D411yescharacteristic
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—42no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61—81no—
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—21no—
728Q8×C61—21no—
729Q8×C61—81no—
730Q8×C61—81no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—41no—
734D4×C61—42no—
735D4×C61—81no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—81no—
748C2×C4×C61—81no—
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C22×D411yescharacteristic
753C2×C4×C61C2511yescharacteristic
754C22⋊D61—41no—
755C22⋊D61—41no—
756C22⋊D61—42no—
757C22⋊D61—42no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—41no—
770C2×Dic61—41no—
771C2×Dic61—42no—
772C2×Dic61—81no—
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780D244—21no—
781D244—21no—
782D244—21no—
783D244—21no—
784D244—21no—
785D244—21no—
786D244—21no—
787D244—21no—
788D244—81no—
789D244—81no—
790D244—81no—
791D244—81no—
792D244—81no—
793D244—81no—
794D244—81no—
795C4×D61—21no—
796C4×D61—21no—
797C4×D61—42no—
798C4×D61—42no—
799C4×D61—42no—
800C4×D61—81no—
801C4×D61—81no—
802C4×D61—81no—
803C4×D61—81no—
804C4×D61—81no—
805Dic122—21no—
806Dic122—21no—
807Dic122—21no—
808Dic122—41no—
809Dic122—42no—
810Dic122—42no—
811Dic122—81no—
812Dic122—81no—
813Dic122—81no—
814Dic122H(5,𝔽2)12yes—
815C8×C61—21no—
816C8×C61—21no—
817C8×C61—21no—
818C8×C61—21no—
819#92418—21no—
820#92418—21no—
821#92418—21no—
822#92418—21no—
823#62092—611nomaximal, Sylow
824C22×C61—21no—
825C22×C61—21no—
826C22×C61—21no—
827C22×C61—21no—
828C22×C61—21no—
829C22×C61—21no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61C23×D411yescharacteristic
834C2×D61—21no—
835C2×D61—21no—
836C2×D61—21no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—162no—
850C2×D61—162no—
851C2×D61—162no—
852C4×C61—21no—
853C4×C61—21no—
854C4×C61—21no—
855C4×C61—21no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61C2×H(5,𝔽2)11yescharacteristic
864C4×C61#58511yescharacteristic
865Dic61—21no—
866Dic61—21no—
867Dic61—21no—
868Dic61—21no—
869Dic61—21no—
870Dic61—21no—
871Dic61—22no—
872Dic61—21no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876#3558—611no—
877#3518—611no—
878#3401—611no—
879#3401—611no—
880#3375—611no—
881#3375—611no—
882#3324—611no—
883#3324—611no—
884#3319—611no—
885#3319—611no—
886#3313—611no—
887#3313D6111yescharacteristic, complemented
888#3277—611no—
889#3277—611no—
890#3266—611no—
891#3266—611no—
892#3265—611no—
893#3265—611no—
894#3262—611no—
895#3262—611no—
896#3254—611no—
897#3224—611no—
898#3224—611no—
899#3215—611no—
900#3121—611no—
901#3121—611no—
902#3115—611no—
903#3043—611no—
904#3043—611no—
905#3040—611no—
906#2995—611no—
907C2×C61—41no—
908C2×C61—41no—
909C2×C61—81no—
910C2×C61#348811yescharacteristic
911C2×C61#358511yescharacteristic
912C2×C61#358611yescharacteristic
913D61—41no—
914D61—81no—
915D61—81no—
916D61—81no—
917D61—81no—
918C2×#137—611no—
919C2×#137—611no—
920C2×#137—611no—
921C2×AGL(1,ℤ/8)—611no—
922C22×SD16—611no—
923C22×SD16—611no—
924#562—1221no—
925H(3,𝔽4)—1221no—
926#559—611no—
927#559—611no—
928Q82—611no—
929#556—611no—
930#556—611no—
931#556—1221no—
932#556—1221no—
933#556—1221no—
934#556C2×D6111yescharacteristic, complemented
935#555—611no—
936#555—1221no—
937D4×Q8—611no—
938#548—611no—
939#548—611no—
940#548—611no—
941#548C2×D6111yescharacteristic
942#546—611no—
943#546—611no—
944#546—1221no—
945#546—1221no—
946D42—611no—
947D42—611no—
948#542—611no—
949#542—611no—
950#542—611no—
951#542—611no—
952#542—1221no—
953#542—1221no—
954#538—1221no—
955#538—1221no—
956#538—1221no—
957#535—611no—
958#535—611no—
959#534—1221no—
960#533—611no—
961#533—1221no—
962#532—611no—
963#529—611no—
964#529—1221no—
965C2×#124—611no—
966#519—611no—
967#519—611no—
968C4×#41—611no—
969#497—611no—
970#497—611no—
971#496—611no—
972#496—611no—
973#495—611no—
974#495—611no—
975#489—611no—
976#489—611no—
977#489—611no—
978#489C2×D6111yescharacteristic, complemented
979#486—611no—
980#486—611no—
981#485—611no—
982#485C2×D6111yescharacteristic, complemented
983#482—611no—
984#482—611no—
985#482—611no—
986#482C2×D6111yescharacteristic, complemented
987#477—611no—
988#477—611no—
989#477—611no—
990#477C2×D6111yescharacteristic, complemented
991#475—611no—
992#474—611no—
993#474—611no—
994#474—611no—
995#474—611no—
996#474—611no—
997#468—611no—
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468—611no—
1002#468—611no—
1003#468—611no—
1004#468C2×D6111yescharacteristic, complemented
1005#467—611no—
1006#467C2×D6111yescharacteristic, complemented
1007#466—611no—
1008#466—611no—
1009#464—611no—
1010#464—611no—
1011#464—611no—
1012#464—611no—
1013#464—611no—
1014#464—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464—611no—
1022#464C2×D6111yescharacteristic, complemented
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#461—611no—
1030#461—611no—
1031#460—611no—
1032#460—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460—611no—
1038#459—611no—
1039#452—611no—
1040#452C2×D6111yescharacteristic, complemented
1041#451—611no—
1042#451—611no—
1043#451—611no—
1044#451C2×D6111yescharacteristic, complemented
1045#450—611no—
1046#450—611no—
1047#450—611no—
1048#450—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#448—611no—
1054#448—611no—
1055#447—611no—
1056#447—611no—
1057#446—611no—
1058#446—611no—
1059#442—611no—
1060#442—611no—
1061#441—611no—
1062#441C2×D6111yescharacteristic, complemented
1063#440—611no—
1064#440—611no—
1065#440—611no—
1066#440—611no—
1067C4×Q16—611no—
1068C4×Q16—611no—
1069C4×SD16—611no—
1070C4×SD16—611no—
1071#436—611no—
1072#436—611no—
1073#435—611no—
1074#435—611no—
1075#435—611no—
1076#435C2×D6111yescharacteristic, complemented
1077#433—611no—
1078#433—611no—
1079#432—611no—
1080#424—611no—
1081#424—611no—
1082#423—611no—
1083#419C2×D6111yescharacteristic, complemented
1084#418—611no—
1085#418—611no—
1086#418—611no—
1087#416—611no—
1088#416C2×D6111yescharacteristic, complemented
1089C61#6209211yescharacteristic, complemented, Sylow
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—1221no—
1093C2×#41C22×D6111yescharacteristic
1094C22×Q8—611no—
1095C22×Q8—611no—
1096C22×Q8C22×D6111yescharacteristic
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—1221no—
1101C22×D4—1221no—
1102#137—2442no—
1103#137—2442no—
1104#137—2442no—
1105AGL(1,ℤ/8)—2442no—
1106C2×Q16—611no—
1107C2×Q16—611no—
1108C2×Q16—611no—
1109C2×Q16—611no—
1110C2×Q16C22×D6111yescharacteristic
1111C2×Q16C22×D6111yescharacteristic
1112C2×SD16—611no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16—2442no—
1126C2×SD16—2442no—
1127C2×SD16C22×D6111yescharacteristic
1128C2×D8—611no—
1129C2×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16C22×D6111yescharacteristic
1136C22×C8—611no—
1137C22×C8C22×D6111yescharacteristic
1138C4⋊Q8—611no—
1139C4⋊Q8—611no—
1140C4⋊Q8—611no—
1141C4⋊Q8—611no—
1142C4⋊Q8—1221no—
1143C4⋊Q8—1221no—
1144C4⋊Q8—1221no—
1145C4⋊Q8—1221no—
1146C4⋊Q8C22×D6111yescharacteristic
1147#127—611no—
1148#127—611no—
1149#127—611no—
1150#126—21no—
1151#126—21no—
1152#126—611no—
1153#126—611no—
1154#126—1221no—
1155#126—1221no—
1156#126—1221no—
1157#126—1221no—
1158#126—1221no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#125—611no—
1163#125—1221no—
1164#124—21no—
1165#124—21no—
1166#124—611no—
1167#124—611no—
1168#124—611no—
1169#124—611no—
1170#124—611no—
1171#124—611no—
1172#124—611no—
1173#124—611no—
1174#124—1221no—
1175#124—1221no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124C22×D6111yescharacteristic
1190#123—611no—
1191#123—611no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202C22⋊Q8—21no—
1203C22⋊Q8—611no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8C22×D6111yescharacteristic
1219C22⋊Q8C22×D6111yescharacteristic
1220C22⋊Q8C22×D6111yescharacteristic
1221#121—21no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—611no—
1227#121—611no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121C22×D6111yescharacteristic
1242#120—1221no—
1243#120—1221no—
1244#120—1221no—
1245#120—1221no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249#120—1221no—
1250#120—1221no—
1251#120—1221no—
1252C4×Q8—21no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—1221no—
1263C4×Q8—1221no—
1264C4×Q8—1221no—
1265C4×Q8—1221no—
1266C4×Q8—1221no—
1267C4×Q8—1221no—
1268C4×Q8—1221no—
1269C4×Q8C22×D6111yescharacteristic
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—21no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4C22×D6111yescharacteristic
1290#117—611no—
1291#117—611no—
1292#117—611no—
1293#117—1221no—
1294#117—1221no—
1295#117—1221no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117C22×D6111yescharacteristic
1302#117C22×D6111yescharacteristic
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C42—611no—
1308C2×C42—1221no—
1309#107—611no—
1310#107—611no—
1311#107—611no—
1312#107—611no—
1313#107C22×D6111yescharacteristic
1314#107C22×D6111yescharacteristic
1315#106—611no—
1316#106C22×D6111yescharacteristic
1317C4⋊C8—611no—
1318C4⋊C8—611no—
1319C4⋊C8—611no—
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8C22×D6111yescharacteristic
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103C22×D6111yescharacteristic
1335#103C22×D6111yescharacteristic
1336#103C22×D6111yescharacteristic
1337#103C22×D6111yescharacteristic
1338#103C22×D6111yescharacteristic
1339#103C22×D6111yescharacteristic
1340#103C22×D6111yescharacteristic
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102C22×D6111yescharacteristic
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359C22⋊C8—611no—
1360C22⋊C8—611no—
1361C22⋊C8—611no—
1362C22⋊C8—611no—
1363C22⋊C8C22×D6111yescharacteristic
1364C22⋊C8C22×D6111yescharacteristic
1365#97—611no—
1366#97—611no—
1367#97—611no—
1368#97C22×D6111yescharacteristic
1369C4×C8—611no—
1370C4×C8—611no—
1371C24—1221no—
1372C24—1221no—
1373C24—1221no—
1374#41—41no—
1375#41—41no—
1376#41—1222no—
1377#41—4882no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—41no—
1384C2×Q8—41no—
1385C2×Q8—611no—
1386C2×Q8—611no—
1387C2×Q8—611no—
1388C2×Q8—1221no—
1389C2×Q8—1221no—
1390C2×Q8—1221no—
1391C2×Q8—1221no—
1392C2×Q8—1222no—
1393C2×Q8—1221no—
1394C2×Q8—1222no—
1395C2×Q8—2441no—
1396C2×Q8—2441no—
1397C2×Q8C23×D6111yescharacteristic
1398C2×Q8C23×D6111yescharacteristic
1399C2×Q8C23×D6111yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—611no—
1403C2×D4—611no—
1404C2×D4—611no—
1405C2×D4—611no—
1406C2×D4—611no—
1407C2×D4—611no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—4882no—
1425C2×D4—4882no—
1426C2×D4—2441no—
1427C2×D4—2441no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4—2441no—
1431C2×D4—2441no—
1432C2×D4D4×D6111yescharacteristic
1433C2×D4C23×D6111yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—1221no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—1221no—
1447C22×C4—1221no—
1448C22×C4—1221no—
1449C22×C4C23×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—1222no—
1454Q16—1222no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—41no—
1458SD16—1222no—
1459SD16—1222no—
1460SD16—1222no—
1461SD16—1222no—
1462SD16—2441no—
1463SD16—2441no—
1464SD16—2441no—
1465SD16—2441no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469SD16—2441no—
1470SD16—2441no—
1471D8—2441no—
1472D8—2441no—
1473D8—2441no—
1474D8—2441no—
1475M16—41no—
1476M16—2441no—
1477M16—2441no—
1478M16—2441no—
1479C2×C8—41no—
1480C2×C8—611no—
1481C2×C8—611no—
1482C2×C8—611no—
1483C2×C8—611no—
1484C2×C8—2441no—
1485C2×C8C23×D6111yescharacteristic
1486C2×C8C23×D6111yescharacteristic
1487C2×C8C23×D6111yescharacteristic
1488C2×C8C23×D6111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—611no—
1502C4⋊C4—611no—
1503C4⋊C4—611no—
1504C4⋊C4—611no—
1505C4⋊C4—611no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4D4×D6111yescharacteristic
1523C4⋊C4C23×D6111yescharacteristic
1524C4⋊C4C23×D6111yescharacteristic
1525C4⋊C4C23×D6111yescharacteristic
1526C4⋊C4C23×D6111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—611no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—611no—
1541C22⋊C4—611no—
1542C22⋊C4—611no—
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—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4D4×D6111yescharacteristic
1573C22⋊C4D4×D6111yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—611no—
1579C42—611no—
1580C42—611no—
1581C42—611no—
1582C42—611no—
1583C42—1221no—
1584C42—1221no—
1585C42—1221no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42—1221no—
1590C42—1221no—
1591C42—1221no—
1592C42C23×D6111yescharacteristic
1593C23—21no—
1594C23—611no—
1595C23—1221no—
1596C23—1221no—
1597C23—1221no—
1598C23—1221no—
1599C23—4881no—
1600C23—4881no—
1601C23—4881no—
1602C23—4881no—
1603C23—4881no—
1604C23—4881no—
1605C23—4881no—
1606C23—4881no—
1607C23—2442no—
1608C23C2×D4×D6111yescharacteristic
1609C23C2×D4×D6111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—81no—
1617Q8—81no—
1618Q8—612no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—1221no—
1622Q8—4881no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8—2442no—
1627Q8—2442no—
1628D4—21no—
1629D4—21no—
1630D4—41no—
1631D4—42no—
1632D4—81no—
1633D4—1221no—
1634D4—1221no—
1635D4—1221no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—1221no—
1641D4—4881no—
1642D4—4881no—
1643D4—4881no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—2441no—
1656D4—2441no—
1657D4—2442no—
1658D4—2442no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—611no—
1673C2×C4—611no—
1674C2×C4—611no—
1675C2×C4—611no—
1676C2×C4—611no—
1677C2×C4—611no—
1678C2×C4—611no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—4881no—
1686C2×C4—4881no—
1687C2×C4—4881no—
1688C2×C4—4881no—
1689C2×C4—4881no—
1690C2×C4—4881no—
1691C2×C4—2442no—
1692C2×C4—2442no—
1693C2×C4—2442no—
1694C2×C4—2441no—
1695C2×C4—2441no—
1696C2×C4—2442no—
1697C2×C4C2×D4×D6111yescharacteristic
1698C2×C4C2×D4×D6111yescharacteristic
1699C2×C4C2×D4×D6111yescharacteristic
1700C2×C4C2×D4×D6111yescharacteristic
1701C2×C4C24×D6111yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1221no—
1707C8—1221no—
1708C8—1221no—
1709C8—1221no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—1221no—
1720C22—1221no—
1721C22—1221no—
1722C22—9762no—
1723C22—9762no—
1724C22—9762no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22C22×D4×D6111yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1221no—
1750C4—1222no—
1751C4—1221no—
1752C4—1221no—
1753C4—1221no—
1754C4—1221no—
1755C4—1221no—
1756C4—1221no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4H(5,𝔽2)×D6111yescharacteristic
1761C4#1684059811yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—4881no—
1766C2—4881no—
1767C2—4881no—
1768C2—4881no—
1769C2—2441no—
1770C2#2145948211yescharacteristic
1771C2#2146059611yescharacteristic
1772C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3313C2
socleC22×C61C23×D4
hypercenter#3313D61
hypocenterC61#62092
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. #21460336C2semidirect
2. #21459829C2semidirect
3. #21458889C2semidirect
4. #21458886C2semidirect
5. #21458632C2semidirect
6. #21458630C2semidirect
7. #21458048C2semidirect
8. #21458044C2semidirect
9. #21457978C2semidirect
10. #21457971C2semidirect
11. #21457886C2semidirect
12. #21457476C2semidirect
13. #21457472C2semidirect
14. #21457327C2semidirect
15. #21457326C2semidirect
16. #21457321C2semidirect
17. #21457319C2semidirect
18. #21457282C2semidirect
19. #21457281C2semidirect
20. #21457201C2semidirect
21. #21456919C2semidirect
22. #21456914C2semidirect
23. #21456821C2semidirect
24. #21456052C2semidirect
25. #21456051C2semidirect
26. #21455965C2semidirect
27. #21455343C2semidirect
28. #21455338C2semidirect
29. #21455316C2semidirect
30. #21454990C2semidirect
31. C61×#3313C2semidirect
32. C2×#14519809C22semidirect
33. C2×#14519808C22semidirect
34. C2×#14519807C22semidirect
36. C22×#11758190C22semidirect
37. C2×SD16×D61C22semidirect
42. #16840492C22semidirect
44. #16840484C22semidirect
45. #16840480C22semidirect
48. #16840475C22semidirect
50. #16840425C22semidirect
52. #16840422C22semidirect
53. #16840421C22semidirect
60. #16840386C22semidirect
62. #16840385C22semidirect
73. #16840314C22semidirect
78. #16840239C22semidirect
79. #16840238C22semidirect
80. #16840230C22semidirect
81. #16840155C22semidirect
82. #16840155C22semidirect
85. #16840147C22semidirect
86. #16840144C22semidirect
87. #16840123C22semidirect
88. #16840123C22semidirect
89. #16840123C22semidirect
92. #16840102C22semidirect
95. #16840086C22semidirect
96. #16840056C22semidirect
97. #16840055C22semidirect
98. #16840055C22semidirect
99. #16840046C22semidirect
100. #16840041C22semidirect
101. #16840041C22semidirect
102. #16840041C22semidirect
103. #16840040C22semidirect
104. #16840039C22semidirect
105. #16840011C22semidirect
107. #16840010C22semidirect
108. #16840010C22semidirect
110. #16840008C22semidirect
111. #16840006C22semidirect
112. #16840002C22semidirect
115. #16839987C22semidirect
116. #16839987C22semidirect
117. #16839987C22semidirect
118. #16839987C22semidirect
119. #16839987C22semidirect
120. #16839987C22semidirect
121. #16839987C22semidirect
122. #16839987C22semidirect
123. #16839986C22semidirect
124. #16839986C22semidirect
125. #16839986C22semidirect
126. #16839984C22semidirect
127. #16839981C22semidirect
128. #16839980C22semidirect
129. #16839980C22semidirect
130. #16839980C22semidirect
131. #16839980C22semidirect
132. #16839980C22semidirect
133. #16839978C22semidirect
134. #16839966C22semidirect
135. #16839965C22semidirect
140. #16839961C22semidirect
141. #16839961C22semidirect
142. #16839960C22semidirect
143. #16839956C22semidirect
144. #16839927C22semidirect
145. #16839918C22semidirect
146. #16839917C22semidirect
147. #16839916C22semidirect
149. #16839914C22semidirect
151. #16839912C22semidirect
152. #16839910C22semidirect
153. #16839909C22semidirect
154. #16839907C22semidirect
155. #16839905C22semidirect
158. #16839898C22semidirect
159. #16839897C22semidirect
160. #16839890C22semidirect
161. #16839889C22semidirect
162. #16839873C22semidirect
163. #16839871C22semidirect
164. #16839866C22semidirect
165. #16839864C22semidirect
166. #16839861C22semidirect
167. #16839861C22semidirect
168. #16839859C22semidirect
169. C4×#11758202C22semidirect
170. #16839854C22semidirect
171. C4×#11758201C22semidirect
172. #16839849C22semidirect
173. #16839840C22semidirect
174. #16839837C22semidirect
175. #16839836C22semidirect
176. #16839833C22semidirect
177. #16839831C22semidirect
178. #16839824C22semidirect
179. #16839820C22semidirect
180. #16839816C22semidirect
181. #16839788C22semidirect
182. #16839787C22semidirect
183. #16839785C22semidirect
185. #16839766C22semidirect
186. #16839765C22semidirect
187. #16839757C22semidirect
188. C61×#556C22semidirect
190. C61×#489C22semidirect
191. C61×#485C22semidirect
192. C61×#482C22semidirect
193. C61×#477C22semidirect
194. C61×#468C22semidirect
195. C61×#467C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
198. C61×#451C22semidirect
199. C61×#441C22semidirect
200. C61×#435C22semidirect
201. C61×#419C22semidirect
202. C61×#416C22semidirect
887. #3313D61semidirect
934. #556C2×D61semidirect
978. #489C2×D61semidirect
982. #485C2×D61semidirect
986. #482C2×D61semidirect
990. #477C2×D61semidirect
1004. #468C2×D61semidirect
1006. #467C2×D61semidirect
1022. #464C2×D61semidirect
1040. #452C2×D61semidirect
1044. #451C2×D61semidirect
1062. #441C2×D61semidirect
1076. #435C2×D61semidirect
1083. #419C2×D61semidirect
1088. #416C2×D61semidirect
1089. C61#62092semidirect

Maximal subgroups

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

subgroupindex
#214603362
#214598292
#214588892
#214588862
#214586322
#214586302
#214580482
#214580442
#214579782
#214579712
#214578862
#214574762
#214574722
#214573272
#214573262
#214573212
#214573192
#214572822
#214572812
#214572012
#214569192
#214569142
#214568212
#214560522
#214560512
#214559652
#214553432
#214553382
#214553162
#214549902
C61×#33132
#6209261