Finite Group Databasebeta

← #30573763

Subgroups — #30573763

Order 15616.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460188C211yesmaximal, characteristic, complemented
2#21459930C211yesmaximal, characteristic, complemented
3#21458886C211yesmaximal, characteristic, complemented
4#21458859C211yesmaximal, characteristic, complemented
5#21458657C211yesmaximal, characteristic, complemented
6#21458549C211yesmaximal, characteristic, complemented
7#21457978C211yesmaximal, characteristic, complemented
8#21457963C211yesmaximal, characteristic, complemented
9#21457950C211yesmaximal, characteristic, complemented
10#21457793C211yesmaximal, characteristic, complemented
11#21457767C211yesmaximal, characteristic, complemented
12#21457659C211yesmaximal, characteristic, complemented
13#21457578C211yesmaximal, characteristic, complemented
14#21457519C211yesmaximal, characteristic, complemented
15#21457407C211yesmaximal, characteristic, complemented
16#21457377C211yesmaximal, characteristic, complemented
17#21457361C211yesmaximal, characteristic, complemented
18#21457307C211yesmaximal, characteristic, complemented
19#21457282C211yesmaximal, characteristic, complemented
20#21457230C211yesmaximal, characteristic, complemented
21#21457148C211yesmaximal, characteristic, complemented
22#21456920C211yesmaximal, characteristic, complemented
23#21456871C211yesmaximal, characteristic, complemented
24#21456861C211yesmaximal, characteristic, complemented
25#21456103C211yesmaximal, characteristic, complemented
26#21455973C211yesmaximal, characteristic, complemented
27#21455361C211yesmaximal, characteristic, complemented
28#21455340C211yesmaximal, characteristic, complemented
29#21455273C211yesmaximal, characteristic, complemented
30#21454953C211yesmaximal, characteristic, complemented
31C61×#3121C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic, complemented
33C2×#14519804C2211yescharacteristic
34C2×#14519800C2211yescharacteristic, complemented
35C2×#14519800C2211yescharacteristic, complemented
36C2×#14519798C2211yescharacteristic, complemented
37C22×#11758201C2211yescharacteristic
38#16840503—21no—
39#16840502—21no—
40#16840497—21no—
41#16840497C2211yescharacteristic, complemented
42#16840488C2211yescharacteristic, complemented
43#16840484C2211yescharacteristic
44#16840475—21no—
45#16840475C2211yescharacteristic, complemented
46#16840463—21no—
47#16840456—21no—
48#16840456C2211yescharacteristic
49#16840453—21no—
50#16840453C2211yescharacteristic, complemented
51#16840434C2211yescharacteristic
52#16840434C2211yescharacteristic, complemented
53#16840433C2211yescharacteristic
54#16840430C2211yescharacteristic
55#16840423C2211yescharacteristic
56#16840423C2211yescharacteristic, complemented
57#16840414C2211yescharacteristic
58#16840407C2211yescharacteristic
59#16840404—21no—
60#16840403C2211yescharacteristic
61#16840396C2211yescharacteristic
62#16840386C2211yescharacteristic
63#16840384—21no—
64#16840384C2211yescharacteristic, complemented
65#16840367—21no—
66#16840367C2211yescharacteristic, complemented
67#16840352—21no—
68#16840346—21no—
69#16840342—21no—
70#16840331C2211yescharacteristic
71#16840330—21no—
72#16840330C2211yescharacteristic
73#16840313C2211yescharacteristic
74#16840311C2211yescharacteristic
75#16840299—21no—
76#16840299C2211yescharacteristic, complemented
77#16840290—21no—
78#16840290C2211yescharacteristic
79#16840244C2211yescharacteristic, complemented
80C4×#11758226C2211yescharacteristic, complemented
81#16840155C2211yescharacteristic, complemented
82#16840151C2211yescharacteristic
83#16840148C2211yescharacteristic
84#16840148C2211yescharacteristic, complemented
85#16840147C2211yescharacteristic
86#16840139C2211yescharacteristic, complemented
87#16840129C2211yescharacteristic, complemented
88#16840127C2211yescharacteristic, complemented
89#16840125C2211yescharacteristic
90#16840123C2211yescharacteristic
91#16840117C2211yescharacteristic
92#16840107C2211yescharacteristic, complemented
93#16840094C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic
95#16840088C2211yescharacteristic, complemented
96#16840082C2211yescharacteristic
97#16840069C2211yescharacteristic, complemented
98#16840065C2211yescharacteristic
99#16840065C2211yescharacteristic, complemented
100#16840062C2211yescharacteristic, complemented
101#16840056C2211yescharacteristic, complemented
102#16840049C2211yescharacteristic, complemented
103#16840041C2211yescharacteristic, complemented
104#16840039C2211yescharacteristic, complemented
105#16840013C2211yescharacteristic
106#16840011C2211yescharacteristic
107#16840010C2211yescharacteristic, complemented
108#16840009C2211yescharacteristic, complemented
109#16840002C2211yescharacteristic, complemented
110#16839999C2211yescharacteristic
111#16839999C2211yescharacteristic
112#16839999C2211yescharacteristic, complemented
113#16839996C2211yescharacteristic
114#16839994C2211yescharacteristic
115#16839994C2211yescharacteristic, complemented
116#16839993C2211yescharacteristic, complemented
117#16839987C2211yescharacteristic, complemented
118#16839986C2211yescharacteristic
119#16839984C2211yescharacteristic
120#16839984C2211yescharacteristic
121#16839984C2211yescharacteristic, complemented
122#16839984C2211yescharacteristic, complemented
123#16839980C2211yescharacteristic
124#16839980C2211yescharacteristic
125#16839980C2211yescharacteristic, complemented
126#16839980C2211yescharacteristic, complemented
127#16839978C2211yescharacteristic, complemented
128#16839978C2211yescharacteristic, complemented
129#16839974C2211yescharacteristic, complemented
130#16839974C2211yescharacteristic, complemented
131#16839970C2211yescharacteristic, complemented
132#16839966C2211yescharacteristic, complemented
133#16839962C2211yescharacteristic
134#16839962C2211yescharacteristic
135#16839962C2211yescharacteristic, complemented
136#16839962C2211yescharacteristic, complemented
137#16839962C2211yescharacteristic, complemented
138#16839960C2211yescharacteristic
139#16839960C2211yescharacteristic, complemented
140#16839958C2211yescharacteristic
141#16839958C2211yescharacteristic
142#16839957C2211yescharacteristic, complemented
143#16839956C2211yescharacteristic
144#16839956C2211yescharacteristic, complemented
145#16839927C2211yescharacteristic, complemented
146#16839923C2211yescharacteristic, complemented
147#16839923C2211yescharacteristic, complemented
148#16839921C2211yescharacteristic, complemented
149#16839911C2211yescharacteristic
150#16839910C2211yescharacteristic
151#16839910C2211yescharacteristic
152#16839910C2211yescharacteristic, complemented
153#16839910C2211yescharacteristic, complemented
154#16839910C2211yescharacteristic, complemented
155#16839909C2211yescharacteristic, complemented
156#16839909C2211yescharacteristic, complemented
157#16839908C2211yescharacteristic, complemented
158#16839898C2211yescharacteristic
159#16839898C2211yescharacteristic
160#16839897C2211yescharacteristic
161#16839892C2211yescharacteristic, complemented
162#16839890C2211yescharacteristic, complemented
163#16839873C2211yescharacteristic
164#16839873C2211yescharacteristic, complemented
165#16839873C2211yescharacteristic, complemented
166#16839866C2211yescharacteristic, complemented
167#16839865C2211yescharacteristic
168#16839865C2211yescharacteristic, complemented
169#16839849C2211yescharacteristic, complemented
170#16839847C2211yescharacteristic, complemented
171#16839836C2211yescharacteristic
172#16839836C2211yescharacteristic, complemented
173#16839835C2211yescharacteristic, complemented
174#16839830C2211yescharacteristic
175C8×D244C2211yescharacteristic, complemented
176#16839825C2211yescharacteristic, complemented
177#16839822C2211yescharacteristic, complemented
178#16839818C2211yescharacteristic, complemented
179#16839789C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839766C2211yescharacteristic
183#16839762C2211yescharacteristic, complemented
184#16839757C2211yescharacteristic, complemented
185#16839756C2211yescharacteristic, complemented
186#16839755C2211yescharacteristic, complemented
187#102×D61C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#519C2211yescharacteristic, complemented
190C61×#485C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic
192C61×#477C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#451C2211yescharacteristic, complemented
197C61×#448C2211yescharacteristic
198C61×#441C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×Q16×C61C2211yescharacteristic, complemented
201C4×SD16×C61C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758226C2311yescharacteristic
207C2×#11758226C2311yescharacteristic
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×#11758224C2311yescharacteristic
211C22×D244C2311yescharacteristic
212C2×D4×D61—21no—
213C2×D4×D61C2311yescharacteristic
214#14519808—42no—
215#14519804—42no—
216#14519800—42no—
217#14519800—42no—
218#14519798—42no—
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758190C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758201—42no—
224C2×#11758201C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×D488C2311yescharacteristic
233C2×D488C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×D488C2311yescharacteristic
236C2×D488C2311yescharacteristic
237C2×D488C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758194C2311yescharacteristic
241C2×#11758189C2311yescharacteristic
242C22×#92418C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245C2×C8×D61C2311yescharacteristic
246#14519776—21no—
247#14519776C2311yescharacteristic
248#14519775C2311yescharacteristic
249#14519774—21no—
250#14519774—21no—
251#14519774C2311yescharacteristic
252#14519774C2311yescharacteristic
253#14519774C2311yescharacteristic
254#14519773—21no—
255#14519773C2311yescharacteristic
256#14519773C2311yescharacteristic
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519772D411yescharacteristic
261#14519771—21no—
262#14519771—21no—
263#14519771—21no—
264#14519771—21no—
265#14519770D411yescharacteristic
266#14519769—21no—
267#14519769C2311yescharacteristic
268#14519768—21no—
269#14519768C2311yescharacteristic
270#14519767—21no—
271#14519767D411yescharacteristic
272#14519766—21no—
273#14519766—21no—
274#14519766—21no—
275#14519766—21no—
276#14519766C2311yescharacteristic
277#14519766C2311yescharacteristic
278#14519766C2311yescharacteristic
279#14519765—21no—
280#14519765—21no—
281#14519765—21no—
282#14519765C2311yescharacteristic
283#14519765C2311yescharacteristic
284#14519763—21no—
285#14519763D411yescharacteristic
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#14519762—21no—
296#14519762D411yescharacteristic
297#14519761—21no—
298#14519759—21no—
299#14519759—21no—
300#14519759D411yescharacteristic
301#14519757C2311yescharacteristic
302#14519755—21no—
303#14519755—21no—
304#14519755D411yescharacteristic
305#14519753—21no—
306#14519753—21no—
307#14519753—21no—
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519752—21no—
311#14519752—21no—
312#14519752—21no—
313#14519752—21no—
314#14519752—21no—
315#14519752—21no—
316#14519752—21no—
317#14519752—21no—
318#14519752C2311yescharacteristic
319#14519752C2311yescharacteristic
320#14519752C2311yescharacteristic
321#14519752C2311yescharacteristic
322#14519752C2311yescharacteristic
323#14519751—21no—
324#14519751—21no—
325#14519751—21no—
326#14519751—21no—
327#14519751C2311yescharacteristic
328#14519751C2311yescharacteristic
329#14519750—21no—
330#14519750—21no—
331#14519750—21no—
332#14519750—21no—
333#14519750—21no—
334#14519750—21no—
335#14519750—21no—
336#14519750—21no—
337#14519750—21no—
338#14519750—21no—
339#14519750—21no—
340#14519750—21no—
341#14519750—21no—
342#14519750D411yescharacteristic
343#14519749—21no—
344#14519747—21no—
345#14519747—21no—
346#14519747—21no—
347#14519747—21no—
348#14519747—21no—
349#14519747—21no—
350#14519747—21no—
351#14519745—21no—
352Q8×Dic61C2311yescharacteristic
353Q8×Dic61C2311yescharacteristic
354C4×Dic122—21no—
355C4×Dic122C2311yescharacteristic
356#14519742C2311yescharacteristic
357C4×D244—21no—
358C4×D244—21no—
359C4×D244—21no—
360C4×D244—21no—
361C4×D244—21no—
362C4×D244—21no—
363C4×D244—21no—
364C4×D244C2311yescharacteristic
365C4×D244C2311yescharacteristic
366C4×D244C2311yescharacteristic
367#14519739—21no—
368#14519739—21no—
369#14519739—21no—
370#14519739C2311yescharacteristic
371#14519739C2311yescharacteristic
372#14519739C2311yescharacteristic
373#14519739C2311yescharacteristic
374#14519739C2311yescharacteristic
375C4×C22⋊D61—21no—
376C4×C22⋊D61—21no—
377C4×C22⋊D61C2311yescharacteristic
378C4×C22⋊D61C2311yescharacteristic
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519735—21no—
383#14519735C2311yescharacteristic
384#14519734—21no—
385#14519734—21no—
386#14519734—21no—
387#14519734—21no—
388#14519734—21no—
389#14519734C2311yescharacteristic
390C4⋊C4×D61—21no—
391C4⋊C4×D61—21no—
392C4⋊C4×D61C2311yescharacteristic
393C2×#11758198—21no—
394C22⋊C4×D61—21no—
395C42×D61—21no—
396C42×D61C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C4⋊Q8×C61C2311yescharacteristic
447#126×C61—21no—
448#124×C61—21no—
449#124×C61C2311yescharacteristic
450#123×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61—21no—
455C4×Q8×C61—21no—
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×Q8×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61—21no—
463#117×C61—21no—
464#117×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×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
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61—22no—
489C2×Q8×C61—41no—
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×D4×C61—21no—
494C2×D4×C61C2411yescharacteristic
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61C2×D411yescharacteristic
508C2×C22⋊D61C2×D411yescharacteristic
509C22×Dic61—21no—
510#11758226—22no—
511#11758226—22no—
512#11758226—41no—
513#11758226—41no—
514#11758226—41no—
515#11758226—41no—
516#11758226—41no—
517#11758226—41no—
518#11758226—82no—
519#11758224—41no—
520#11758224—41no—
521D4×D61—41no—
522D4×D61—41no—
523D4×D61—82no—
524#11758222—41no—
525#11758222—41no—
526#11758222—82no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—21no—
531C2×D244—21no—
532C2×D244—21no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244—21no—
537C2×D244—21no—
538C2×D244—21no—
539C2×D244—21no—
540C2×D244—21no—
541C2×D244—21no—
542C2×D244—21no—
543C2×D244—41no—
544C2×D244—41no—
545C2×D244C2×D411yescharacteristic
546C2×D244C2411yescharacteristic
547C2×D244C2411yescharacteristic
548C2×D244C2411yescharacteristic
549C2×D244C2411yescharacteristic
550C2×D244C2411yescharacteristic
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61C2×D411yescharacteristic
565C2×C4×D61C2×D411yescharacteristic
566C2×C4×D61C2411yescharacteristic
567C2×C4×D61C2411yescharacteristic
568C2×Dic122—21no—
569C2×Dic122C2×D411yescharacteristic
570C2×Dic122C2411yescharacteristic
571Q16×C61—22no—
572Q16×C61—41no—
573SD16×C61—22no—
574SD16×C61—41no—
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61C2×D411yescharacteristic
587C4⋊C4×C61C2×D411yescharacteristic
588C4⋊C4×C61C2411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61C2×D411yescharacteristic
599C22⋊C4×C61C2×D411yescharacteristic
600C42×C61—21no—
601C42×C61—21no—
602C42×C61—21no—
603C42×C61—21no—
604C42×C61—21no—
605C42×C61—21no—
606C42×C61C2411yescharacteristic
607C42×C61C2411yescharacteristic
608C22⋊Dic61C2×D411yescharacteristic
609C22⋊Dic61C2×D411yescharacteristic
610#11758202—22no—
611#11758202—41no—
612#11758201—22no—
613#11758201—22no—
614#11758201—22no—
615#11758201—41no—
616#11758201—41no—
617#11758201—41no—
618#11758201—41no—
619#11758201—41no—
620#11758199—41no—
621#11758199—41no—
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#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198C2×D411yescharacteristic
651#11758198C2×D411yescharacteristic
652#11758198C2×D411yescharacteristic
653#11758198C2×D411yescharacteristic
654#11758198C2×D411yescharacteristic
655#11758198C2×D411yescharacteristic
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61C2×D411yescharacteristic
661C4⋊Dic61C2×D411yescharacteristic
662C4⋊Dic61C2411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678#11758196C2×D411yescharacteristic
679#11758196C2×D411yescharacteristic
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688#11758194—41no—
689C2×#92418—41no—
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694D488—41no—
695D488—41no—
696D488—41no—
697D488—41no—
698D488—41no—
699D488—41no—
700#11758190—41no—
701#11758190—41no—
702#11758189—41no—
703C8×D61—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61C22×D411yescharacteristic
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—81no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61C22×D411yescharacteristic
720C22×D61C22×D411yescharacteristic
721Q8×C61—21no—
722Q8×C61—21no—
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—42no—
727Q8×C61—81no—
728Q8×C61H(5,𝔽2)12yes—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—81no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—42no—
742C2×C4×C61—81no—
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C2511yescharacteristic
749C22⋊D61—41no—
750C22⋊D61—41no—
751C22⋊D61—42no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C22⋊D61—81no—
757C22⋊D61—81no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—81no—
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770D244—21no—
771D244—21no—
772D244—21no—
773D244—21no—
774D244—21no—
775D244—21no—
776D244—21no—
777D244—21no—
778D244—21no—
779D244—21no—
780D244—41no—
781D244—42no—
782D244—42no—
783D244—81no—
784D244—81no—
785D244—81no—
786D244—81no—
787D244—81no—
788D244—81no—
789D244—81no—
790D244—81no—
791D244—81no—
792D244—81no—
793D244—81no—
794D244—81no—
795D244—81no—
796D244—81no—
797C4×D61—21no—
798C4×D61—21no—
799C4×D61—21no—
800C4×D61—21no—
801C4×D61—41no—
802C4×D61—41no—
803C4×D61—42no—
804C4×D61—42no—
805C4×D61—42no—
806C4×D61—42no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811C4×D61—81no—
812C4×D61—81no—
813C4×D61—81no—
814C4×D61—81no—
815C4×D61—81no—
816Dic122—21no—
817Dic122—21no—
818Dic122—41no—
819Dic122—81no—
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823C8×C61—21no—
824#92418—21no—
825#92418—21no—
826#92418—21no—
827#92418—21no—
828#62026—611nomaximal, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61C23×D411yescharacteristic
836C2×D61—21no—
837C2×D61—21no—
838C2×D61—21no—
839C2×D61—21no—
840C2×D61—21no—
841C2×D61—21no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—162no—
858C2×D61—162no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—22no—
864C4×C61—21no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870C4×C61—41no—
871C4×C61C2×H(5,𝔽2)11yescharacteristic
872C4×C61#58511yescharacteristic
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—21no—
877Dic61—21no—
878Dic61—21no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882#3546—611no—
883#3524—611no—
884#3401—611no—
885#3399—611no—
886#3377—611no—
887#3368—611no—
888#3319—611no—
889#3318—611no—
890#3317—611no—
891#3307—611no—
892#3305—611no—
893#3296—611no—
894#3287—611no—
895#3282—611no—
896#3271—611no—
897#3269—611no—
898#3268—611no—
899#3265—611no—
900#3262—611no—
901#3257—611no—
902#3247—611no—
903#3224—611no—
904#3220—611no—
905#3219—611no—
906#3125—611no—
907#3121D6111yescharacteristic, complemented
908#3115—611no—
909#3045—611no—
910#3043—611no—
911#3035—611no—
912#2992—611no—
913C2×C61—41no—
914C2×C61—81no—
915C2×C61#348811yescharacteristic
916C2×C61#358411yescharacteristic
917C2×C61#358511yescharacteristic
918D61—41no—
919D61—41no—
920D61—81no—
921D61—81no—
922D61—81no—
923D61—81no—
924D61—81no—
925C2×#137—611no—
926C2×AGL(1,ℤ/8)—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135—611no—
930C22×SD16—611no—
931#560—1221no—
932#560—1221no—
933#559—611no—
934#559—1221no—
935#557—611no—
936#556—611no—
937#555—611no—
938#555—1221no—
939#553—611no—
940#553—1221no—
941#553—1221no—
942#552—611no—
943#552—1221no—
944#550—611no—
945#550—611no—
946#550—611no—
947#550—611no—
948#548—611no—
949#548—611no—
950#547—611no—
951#546—611no—
952#546—611no—
953#546—1221no—
954D42—611no—
955#542—611no—
956#542—611no—
957#542—1221no—
958#542C2×D6111yescharacteristic
959#540—611no—
960#540—1221no—
961#538—1221no—
962#538—1221no—
963#537—1221no—
964#535—611no—
965#535—611no—
966#535—1221no—
967#532—611no—
968#532—611no—
969#529—611no—
970#529—611no—
971#529—1221no—
972#529—1221no—
973#520—611no—
974#519C2×D6111yescharacteristic, complemented
975C4×#41—611no—
976#497—611no—
977#496—611no—
978#496—611no—
979#496—611no—
980#495—611no—
981#493—611no—
982#491—611no—
983#490—611no—
984#490—611no—
985#489—611no—
986#488—611no—
987#486—611no—
988#485C2×D6111yescharacteristic, complemented
989#483—611no—
990#482—611no—
991#482—611no—
992#482C2×D6111yescharacteristic
993#481—611no—
994#479—611no—
995#478—611no—
996#478—611no—
997#478—611no—
998#477—611no—
999#477C2×D6111yescharacteristic, complemented
1000#476—611no—
1001#475C2×D6111yescharacteristic, complemented
1002#474—611no—
1003#474—611no—
1004#469—611no—
1005#468—611no—
1006#468—611no—
1007#468—611no—
1008#467—611no—
1009#466—611no—
1010#466—611no—
1011#466—611no—
1012#466—611no—
1013#465—611no—
1014#465—611no—
1015#465—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464—611no—
1022#464C2×D6111yescharacteristic, complemented
1023#464C2×D6111yescharacteristic, complemented
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463—611no—
1032#462—611no—
1033#461—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460—611no—
1038#460—611no—
1039#460—611no—
1040#460—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459—611no—
1045#459—611no—
1046#452—611no—
1047#452—611no—
1048#452—611no—
1049#452—611no—
1050#451C2×D6111yescharacteristic, complemented
1051#450—611no—
1052#449—611no—
1053#449—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449—611no—
1058#449—611no—
1059#449—611no—
1060#448C2×D6111yescharacteristic
1061#447—611no—
1062#447—611no—
1063#447—611no—
1064#446—611no—
1065#446—611no—
1066#442—611no—
1067#442—611no—
1068#442—611no—
1069#441—611no—
1070#441C2×D6111yescharacteristic, complemented
1071#440—611no—
1072#440—611no—
1073#440C2×D6111yescharacteristic, complemented
1074C4×Q16C2×D6111yescharacteristic, complemented
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16C2×D6111yescharacteristic, complemented
1078#435—611no—
1079#435—611no—
1080#435—611no—
1081#435—611no—
1082C8×D4—611no—
1083C8×D4—611no—
1084#433—611no—
1085#433C2×D6111yescharacteristic, complemented
1086#432—611no—
1087#424—611no—
1088#424—611no—
1089C2×C4⋊C8—611no—
1090#418—611no—
1091#417—611no—
1092#416—611no—
1093#416—611no—
1094#416—611no—
1095C2×#102—611no—
1096C61#6202611yescharacteristic, complemented, Sylow
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—611no—
1101C2×#41—611no—
1102C2×#41—611no—
1103C2×#41—1221no—
1104C2×#41—1221no—
1105C22×Q8C22×D6111yescharacteristic
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—1221no—
1109#137—2442no—
1110AGL(1,ℤ/8)—2442no—
1111#135—2442no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16—611no—
1115C2×Q16—611no—
1116C2×Q16C22×D6111yescharacteristic
1117C2×Q16C22×D6111yescharacteristic
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16—611no—
1126C2×SD16—611no—
1127C2×SD16—611no—
1128C2×SD16—2442no—
1129C2×SD16C22×D6111yescharacteristic
1130C2×SD16C22×D6111yescharacteristic
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8—611no—
1138C2×D8—611no—
1139C2×M16—611no—
1140C2×M16—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C22×C8—611no—
1145C4⋊Q8—611no—
1146C4⋊Q8—611no—
1147C4⋊Q8—1221no—
1148C4⋊Q8C22×D6111yescharacteristic
1149#127—611no—
1150#127—611no—
1151#127—611no—
1152#127—611no—
1153#127—611no—
1154#127—1221no—
1155#127—1221no—
1156#127—1221no—
1157#126—21no—
1158#126—611no—
1159#126—611no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#126—1221no—
1167#125—611no—
1168#125—611no—
1169#125—611no—
1170#125—1221no—
1171#125—1221no—
1172#125—1221no—
1173#124—21no—
1174#124—611no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—611no—
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#124C22×D6111yescharacteristic
1189#123—21no—
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—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205C22⋊Q8—21no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8C22×D6111yescharacteristic
1216#121—611no—
1217#121—611no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
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#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121C22×D6111yescharacteristic
1251#120—1221no—
1252#120—1221no—
1253#120—1221no—
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258#120—1221no—
1259C4×Q8—21no—
1260C4×Q8—21no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—611no—
1265C4×Q8—1221no—
1266C4×Q8C22×D6111yescharacteristic
1267C4×Q8C22×D6111yescharacteristic
1268C4×Q8C22×D6111yescharacteristic
1269C4×Q8C22×D6111yescharacteristic
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—611no—
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—611no—
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×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4C22×D6111yescharacteristic
1297#117—21no—
1298#117—21no—
1299#117—611no—
1300#117—611no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117—1221no—
1307#117C22×D6111yescharacteristic
1308#117C22×D6111yescharacteristic
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—1221no—
1311C2×C4⋊C4—1221no—
1312C2×C22⋊C4—1221no—
1313C2×C22⋊C4—1221no—
1314C2×C42—611no—
1315C2×C42—1221no—
1316#107—611no—
1317#107—611no—
1318#107C22×D6111yescharacteristic
1319#107C22×D6111yescharacteristic
1320#106—611no—
1321#106—611no—
1322#106C22×D6111yescharacteristic
1323#106C22×D6111yescharacteristic
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8—611no—
1328C4⋊C8—611no—
1329C4⋊C8—611no—
1330C4⋊C8—611no—
1331C4⋊C8—611no—
1332C4⋊C8C22×D6111yescharacteristic
1333C4⋊C8C22×D6111yescharacteristic
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103C22×D6111yescharacteristic
1341#103C22×D6111yescharacteristic
1342#103C22×D6111yescharacteristic
1343#103C22×D6111yescharacteristic
1344#103C22×D6111yescharacteristic
1345#103C22×D6111yescharacteristic
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#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102C22×D6111yescharacteristic
1365#102C22×D6111yescharacteristic
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8C22×D6111yescharacteristic
1371C22⋊C8C22×D6111yescharacteristic
1372#97—611no—
1373#97—611no—
1374#97—611no—
1375#97C22×D6111yescharacteristic
1376C4×C8—611no—
1377C4×C8C22×D6111yescharacteristic
1378C24—1221no—
1379C24—1221no—
1380#41—1222no—
1381#41—1222no—
1382#41—4882no—
1383#41—4882no—
1384#41—2441no—
1385#41—2441no—
1386#41—2441no—
1387#41—2441no—
1388#41—2441no—
1389#41—2441no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394C2×Q8—21no—
1395C2×Q8—21no—
1396C2×Q8—22no—
1397C2×Q8—41no—
1398C2×Q8—611no—
1399C2×Q8—611no—
1400C2×Q8—1221no—
1401C2×Q8C23×D6111yescharacteristic
1402C2×Q8C23×D6111yescharacteristic
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—611no—
1406C2×D4—611no—
1407C2×D4—611no—
1408C2×D4—611no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—611no—
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—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—1221no—
1438C2×D4—4882no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4—2441no—
1442C2×D4—2441no—
1443C2×D4C23×D6111yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—611no—
1447C22×C4—611no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—1221no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4—1221no—
1464C22×C4C23×D6111yescharacteristic
1465Q16—22no—
1466Q16—41no—
1467Q16—1222no—
1468Q16—2441no—
1469SD16—22no—
1470SD16—41no—
1471SD16—1222no—
1472SD16—1222no—
1473SD16—1222no—
1474SD16—2441no—
1475SD16—2441no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480SD16—2441no—
1481D8—2441no—
1482D8—2441no—
1483D8—2441no—
1484D8—2441no—
1485D8—2441no—
1486D8—2441no—
1487D8—2441no—
1488D8—2441no—
1489M16—2441no—
1490M16—2441no—
1491C2×C8—611no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—2441no—
1496C2×C8—2441no—
1497C2×C8—2441no—
1498C2×C8—2441no—
1499C2×C8C23×D6111yescharacteristic
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—611no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4D4×D6111yescharacteristic
1535C4⋊C4D4×D6111yescharacteristic
1536C4⋊C4C23×D6111yescharacteristic
1537C4⋊C4C23×D6111yescharacteristic
1538C4⋊C4C23×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—611no—
1547C22⋊C4—611no—
1548C22⋊C4—611no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
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⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4D4×D6111yescharacteristic
1583C22⋊C4D4×D6111yescharacteristic
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—611no—
1591C42—611no—
1592C42—611no—
1593C42—611no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42—1221no—
1598C42C23×D6111yescharacteristic
1599C42C23×D6111yescharacteristic
1600C23—21no—
1601C23—611no—
1602C23—611no—
1603C23—1221no—
1604C23—1221no—
1605C23—1221no—
1606C23—1221no—
1607C23—1221no—
1608C23—4881no—
1609C23—4881no—
1610C23—4881no—
1611C23—4881no—
1612C23—4881no—
1613C23—4881no—
1614C23C2×D4×D6111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—42no—
1621Q8—81no—
1622Q8—1221no—
1623Q8—1221no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8#1451982312yes—
1627D4—21no—
1628D4—21no—
1629D4—81no—
1630D4—1221no—
1631D4—1221no—
1632D4—1221no—
1633D4—1221no—
1634D4—1221no—
1635D4—1221no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—4881no—
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—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—4881no—
1659D4—4881no—
1660D4—4881no—
1661D4—4881no—
1662D4—2441no—
1663D4—2442no—
1664D4—2442no—
1665D4—2441no—
1666D4—2441no—
1667D4—2442no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—42no—
1678C2×C4—81no—
1679C2×C4—611no—
1680C2×C4—611no—
1681C2×C4—611no—
1682C2×C4—611no—
1683C2×C4—611no—
1684C2×C4—611no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—4881no—
1693C2×C4—4881no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—2441no—
1703C2×C4—2441no—
1704C2×C4—2442no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4—2442no—
1708C2×C4C2×D4×D6111yescharacteristic
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C2×D4×D6111yescharacteristic
1713C2×C4C24×D6111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C8—1221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—1221no—
1729C22—1221no—
1730C22—1221no—
1731C22—1221no—
1732C22—1221no—
1733C22—1221no—
1734C22—9762no—
1735C22—9762no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22C22×D4×D6111yescharacteristic
1752C4—21no—
1753C4—22no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—1221no—
1765C4—1221no—
1766C4—1221no—
1767C4—1221no—
1768C4—1221no—
1769C4—1221no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4C2×#1451982311yescharacteristic
1774C4#1684059811yescharacteristic
1775C2—41no—
1776C2—81no—
1777C2—4881no—
1778C2—4881no—
1779C2—4881no—
1780C2—4881no—
1781C2—4881no—
1782C2—2441no—
1783C2—2441no—
1784C2#2145948011yescharacteristic
1785C2#2146058911yescharacteristic
1786C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3121C2
socleC22×C61C23×D4
hypercenter#3121D61
hypocenterC61#62026
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
1. #21460188C2semidirect
2. #21459930C2semidirect
3. #21458886C2semidirect
4. #21458859C2semidirect
5. #21458657C2semidirect
6. #21458549C2semidirect
7. #21457978C2semidirect
8. #21457963C2semidirect
9. #21457950C2semidirect
10. #21457793C2semidirect
11. #21457767C2semidirect
12. #21457659C2semidirect
13. #21457578C2semidirect
14. #21457519C2semidirect
15. #21457407C2semidirect
16. #21457377C2semidirect
17. #21457361C2semidirect
18. #21457307C2semidirect
19. #21457282C2semidirect
20. #21457230C2semidirect
21. #21457148C2semidirect
22. #21456920C2semidirect
23. #21456871C2semidirect
24. #21456861C2semidirect
25. #21456103C2semidirect
26. #21455973C2semidirect
27. #21455361C2semidirect
28. #21455340C2semidirect
29. #21455273C2semidirect
30. #21454953C2semidirect
31. C61×#3121C2semidirect
32. C2×#14519808C22semidirect
34. C2×#14519800C22semidirect
35. C2×#14519800C22semidirect
36. C2×#14519798C22semidirect
41. #16840497C22semidirect
42. #16840488C22semidirect
45. #16840475C22semidirect
50. #16840453C22semidirect
52. #16840434C22semidirect
56. #16840423C22semidirect
64. #16840384C22semidirect
66. #16840367C22semidirect
76. #16840299C22semidirect
79. #16840244C22semidirect
80. C4×#11758226C22semidirect
81. #16840155C22semidirect
84. #16840148C22semidirect
86. #16840139C22semidirect
87. #16840129C22semidirect
88. #16840127C22semidirect
92. #16840107C22semidirect
93. #16840094C22semidirect
95. #16840088C22semidirect
97. #16840069C22semidirect
99. #16840065C22semidirect
100. #16840062C22semidirect
101. #16840056C22semidirect
102. #16840049C22semidirect
103. #16840041C22semidirect
104. #16840039C22semidirect
107. #16840010C22semidirect
108. #16840009C22semidirect
109. #16840002C22semidirect
112. #16839999C22semidirect
115. #16839994C22semidirect
116. #16839993C22semidirect
117. #16839987C22semidirect
121. #16839984C22semidirect
122. #16839984C22semidirect
125. #16839980C22semidirect
126. #16839980C22semidirect
127. #16839978C22semidirect
128. #16839978C22semidirect
129. #16839974C22semidirect
130. #16839974C22semidirect
131. #16839970C22semidirect
132. #16839966C22semidirect
135. #16839962C22semidirect
136. #16839962C22semidirect
137. #16839962C22semidirect
139. #16839960C22semidirect
142. #16839957C22semidirect
144. #16839956C22semidirect
145. #16839927C22semidirect
146. #16839923C22semidirect
147. #16839923C22semidirect
148. #16839921C22semidirect
152. #16839910C22semidirect
153. #16839910C22semidirect
154. #16839910C22semidirect
155. #16839909C22semidirect
156. #16839909C22semidirect
157. #16839908C22semidirect
161. #16839892C22semidirect
162. #16839890C22semidirect
164. #16839873C22semidirect
165. #16839873C22semidirect
166. #16839866C22semidirect
168. #16839865C22semidirect
169. #16839849C22semidirect
170. #16839847C22semidirect
172. #16839836C22semidirect
173. #16839835C22semidirect
175. C8×D244C22semidirect
176. #16839825C22semidirect
177. #16839822C22semidirect
178. #16839818C22semidirect
179. #16839789C22semidirect
180. #16839787C22semidirect
181. C4⋊C8×D61C22semidirect
183. #16839762C22semidirect
184. #16839757C22semidirect
185. #16839756C22semidirect
186. #16839755C22semidirect
189. C61×#519C22semidirect
190. C61×#485C22semidirect
192. C61×#477C22semidirect
193. C61×#475C22semidirect
194. C61×#464C22semidirect
195. C61×#464C22semidirect
196. C61×#451C22semidirect
198. C61×#441C22semidirect
199. C61×#440C22semidirect
200. C4×Q16×C61C22semidirect
201. C4×SD16×C61C22semidirect
202. C61×#433C22semidirect
907. #3121D61semidirect
974. #519C2×D61semidirect
988. #485C2×D61semidirect
999. #477C2×D61semidirect
1001. #475C2×D61semidirect
1022. #464C2×D61semidirect
1023. #464C2×D61semidirect
1050. #451C2×D61semidirect
1070. #441C2×D61semidirect
1073. #440C2×D61semidirect
1074. C4×Q16C2×D61semidirect
1077. C4×SD16C2×D61semidirect
1085. #433C2×D61semidirect
1096. C61#62026semidirect

Maximal subgroups

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

subgroupindex
#214601882
#214599302
#214588862
#214588592
#214586572
#214585492
#214579782
#214579632
#214579502
#214577932
#214577672
#214576592
#214575782
#214575192
#214574072
#214573772
#214573612
#214573072
#214572822
#214572302
#214571482
#214569202
#214568712
#214568612
#214561032
#214559732
#214553612
#214553402
#214552732
#214549532
C61×#31212
#6202661