Finite Group Databasebeta

← #30577220

Subgroups — #30577220

Order 15616.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460468C211yesmaximal, characteristic, complemented
2#21459759C211yesmaximal, characteristic, complemented
3#21458777C211yesmaximal, characteristic, complemented
4#21458689C211yesmaximal, characteristic, complemented
5#21458585C211yesmaximal, characteristic, complemented
6#21458482C211yesmaximal, characteristic, complemented
7#21458410C211yesmaximal, characteristic, complemented
8#21458386C211yesmaximal, characteristic, complemented
9#21458375C211yesmaximal, characteristic, complemented
10#21458350C211yesmaximal, characteristic, complemented
11#21458260C211yesmaximal, characteristic, complemented
12#21458218C211yesmaximal, characteristic, complemented
13#21458046C211yesmaximal, characteristic, complemented
14#21458031C211yesmaximal, characteristic, complemented
15#21458017C211yesmaximal, characteristic, complemented
16#21457976C211yesmaximal, characteristic, complemented
17#21457961C211yesmaximal, characteristic, complemented
18#21457651C211yesmaximal, characteristic, complemented
19#21457279C211yesmaximal, characteristic, complemented
20#21457229C211yesmaximal, characteristic, complemented
21#21457220C211yesmaximal, characteristic, complemented
22#21457114C211yesmaximal, characteristic, complemented
23#21457079C211yesmaximal, characteristic, complemented
24#21456998C211yesmaximal, characteristic, complemented
25#21456101C211yesmaximal, characteristic, complemented
26#21456010C211yesmaximal, characteristic, complemented
27#21455866C211yesmaximal, characteristic, complemented
28#21455665C211yesmaximal, characteristic, complemented
29#21455645C211yesmaximal, characteristic, complemented
30#21454964C211yesmaximal, characteristic, complemented
31C61×#3077C211yesmaximal, characteristic, complemented
32#16840513—21no—
33#16840508—21no—
34#16840495C2211yescharacteristic
35#16840489C2211yescharacteristic, complemented
36#16840484—21no—
37#16840480C2211yescharacteristic
38#16840475C2211yescharacteristic, complemented
39#16840471C2211yescharacteristic
40#16840468C2211yescharacteristic, complemented
41#16840465C2211yescharacteristic, complemented
42#16840462C2211yescharacteristic
43#16840461—21no—
44#16840456C2211yescharacteristic
45#16840453—21no—
46#16840451C2211yescharacteristic, complemented
47#16840450C2211yescharacteristic, complemented
48#16840447C2211yescharacteristic
49#16840441—21no—
50#16840438—21no—
51#16840413C2211yescharacteristic
52#16840407C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840402—21no—
55D4×C22⋊D61C2211yescharacteristic
56#16840389C2211yescharacteristic, complemented
57#16840389C2211yescharacteristic, complemented
58#16840386C2211yescharacteristic, complemented
59#16840386C2211yescharacteristic, complemented
60#16840384—21no—
61#16840382—21no—
62#16840377C2211yescharacteristic
63#16840370—21no—
64#16840363C2211yescharacteristic
65#16840358—21no—
66#16840354—21no—
67#16840345—21no—
68#16840296C2211yescharacteristic
69#16840296C2211yescharacteristic
70#16840296C2211yescharacteristic, complemented
71#16840273—21no—
72C2×#14519760—21no—
73#16840241C2211yescharacteristic
74#16840234C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840163C2211yescharacteristic, complemented
78#16840161C2211yescharacteristic, complemented
79#16840161C2211yescharacteristic, complemented
80#16840159C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840120C2211yescharacteristic, complemented
83#16840119C2211yescharacteristic, complemented
84#16840119C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840103C2211yescharacteristic, complemented
90#16840103C2211yescharacteristic, complemented
91#16840097C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840094C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840089C2211yescharacteristic, complemented
96#16840086C2211yescharacteristic
97#16840086C2211yescharacteristic
98#16840084C2211yescharacteristic
99#16840084C2211yescharacteristic, complemented
100#16840082C2211yescharacteristic, complemented
101#16840080C2211yescharacteristic, complemented
102#16840079C2211yescharacteristic
103#16840079C2211yescharacteristic, complemented
104#16840077C2211yescharacteristic, complemented
105#16840072C2211yescharacteristic, complemented
106#16840070C2211yescharacteristic, complemented
107#16840070C2211yescharacteristic, complemented
108#16840068C2211yescharacteristic, complemented
109#16840064C2211yescharacteristic
110#16840064C2211yescharacteristic
111#16840063C2211yescharacteristic, complemented
112#16840063C2211yescharacteristic, complemented
113#16840062C2211yescharacteristic
114#16840062C2211yescharacteristic, complemented
115#16840061C2211yescharacteristic, complemented
116#16840061C2211yescharacteristic, complemented
117#16840056C2211yescharacteristic, complemented
118#16840056C2211yescharacteristic, complemented
119#16840054C2211yescharacteristic, complemented
120#16840051C2211yescharacteristic, complemented
121#16840049C2211yescharacteristic, complemented
122#16840044C2211yescharacteristic, complemented
123#16840041C2211yescharacteristic, complemented
124#16840040C2211yescharacteristic
125#16840040C2211yescharacteristic
126#16840039C2211yescharacteristic, complemented
127#16840020C2211yescharacteristic, complemented
128#16840016C2211yescharacteristic, complemented
129#16840015C2211yescharacteristic
130#16840009C2211yescharacteristic, complemented
131#16840008C2211yescharacteristic
132#16840008C2211yescharacteristic, complemented
133#16840007C2211yescharacteristic
134#16840007C2211yescharacteristic, complemented
135#16840004C2211yescharacteristic, complemented
136#16839997C2211yescharacteristic
137#16839997C2211yescharacteristic, complemented
138#16839992C2211yescharacteristic, complemented
139#16839985C2211yescharacteristic, complemented
140#16839985C2211yescharacteristic, complemented
141#16839983C2211yescharacteristic, complemented
142#16839978C2211yescharacteristic, complemented
143#16839978C2211yescharacteristic, complemented
144#16839977C2211yescharacteristic
145#16839977C2211yescharacteristic, complemented
146#16839976C2211yescharacteristic, complemented
147#16839961C2211yescharacteristic
148#16839956C2211yescharacteristic
149#16839925C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839913C2211yescharacteristic
152#16839908C2211yescharacteristic
153#16839897C2211yescharacteristic
154#16839896C2211yescharacteristic
155#16839889C2211yescharacteristic, complemented
156#16839886C2211yescharacteristic, complemented
157#16839871C2211yescharacteristic
158#16839871C2211yescharacteristic
159#16839868C2211yescharacteristic, complemented
160#16839861C2211yescharacteristic, complemented
161#16839853C2211yescharacteristic
162#16839853C2211yescharacteristic
163#16839849C2211yescharacteristic, complemented
164C4×#11758200C2211yescharacteristic
165C4×#11758200C2211yescharacteristic, complemented
166#16839844C2211yescharacteristic, complemented
167C4×#11758199C2211yescharacteristic
168C4×#11758199C2211yescharacteristic, complemented
169#16839839C2211yescharacteristic, complemented
170#16839838C2211yescharacteristic
171#16839838C2211yescharacteristic, complemented
172#16839831C2211yescharacteristic
173#16839831C2211yescharacteristic, complemented
174#16839827C2211yescharacteristic, complemented
175#16839822C2211yescharacteristic, complemented
176#16839822C2211yescharacteristic, complemented
177#16839815C2211yescharacteristic, complemented
178#16839803C2211yescharacteristic, complemented
179#16839801C2211yescharacteristic, complemented
180#16839797C2211yescharacteristic, complemented
181#107×D61C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183#16839787C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839755C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#533C2211yescharacteristic, complemented
189C2×C4×D4×C61C2211yescharacteristic
190C61×#478C2211yescharacteristic
191C61×#478C2211yescharacteristic
192C61×#478C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#476C2211yescharacteristic
195C61×#476C2211yescharacteristic, complemented
196C61×#474C2211yescharacteristic
197C61×#474C2211yescharacteristic, complemented
198C61×#428C2211yescharacteristic, complemented
199C61×#428C2211yescharacteristic, complemented
200C61×#423C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C61×#418C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224C2311yescharacteristic
205C22×C22⋊D61—21no—
206C2×D4×D61C2311yescharacteristic
207C2×Dic244C2311yescharacteristic
208C2×#11758190C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×D488C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219#14519776—21no—
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519775—21no—
224#14519775—21no—
225#14519773C2311yescharacteristic
226#14519772—21no—
227#14519772—21no—
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519771—21no—
232#14519771—21no—
233#14519771—21no—
234#14519771—21no—
235#14519771D411yescharacteristic
236#14519771D411yescharacteristic
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519769—21no—
242#14519769D411yescharacteristic
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519766—21no—
255#14519766—21no—
256#14519765—21no—
257#14519765D411yescharacteristic
258#14519765C2311yescharacteristic
259#14519765C2311yescharacteristic
260#14519764C2311yescharacteristic
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519761—21no—
271#14519760—21no—
272#14519760—21no—
273#14519760—21no—
274#14519760—21no—
275#14519760—21no—
276#14519760—21no—
277#14519760—21no—
278#14519760—21no—
279#14519760D411yescharacteristic
280#14519760D411yescharacteristic
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519758—21no—
286#14519757—21no—
287#14519757C2311yescharacteristic
288#14519757C2311yescharacteristic
289#14519757C2311yescharacteristic
290#14519756—21no—
291#14519756—21no—
292#14519756D411yescharacteristic
293#14519756C2311yescharacteristic
294#14519756C2311yescharacteristic
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519754—21no—
301#14519754—21no—
302#14519753—21no—
303#14519753—21no—
304#14519753—21no—
305#14519753—21no—
306#14519752—21no—
307#14519752C2311yescharacteristic
308#14519752C2311yescharacteristic
309#14519752C2311yescharacteristic
310#14519751—21no—
311#14519751—21no—
312#14519751D411yescharacteristic
313#14519751C2311yescharacteristic
314#14519751C2311yescharacteristic
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519749—21no—
320#14519749—21no—
321#14519748C2311yescharacteristic
322#14519748C2311yescharacteristic
323#14519747—21no—
324#14519746—21no—
325#14519746—21no—
326#14519745—21no—
327C4×Dic122—21no—
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331#14519742—21no—
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335C4×D244—21no—
336C4×D244C2311yescharacteristic
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739—21no—
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61C2311yescharacteristic
352C4×C22⋊D61C2311yescharacteristic
353#14519737—21no—
354#14519737—21no—
355#14519736—21no—
356#14519735—21no—
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519734C2311yescharacteristic
365#14519734C2311yescharacteristic
366#14519733—21no—
367C2×#11758196—21no—
368C2×#11758196—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61C2311yescharacteristic
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C2×C22⋊Dic61—21no—
374C2×#11758198—21no—
375C2×#11758198—21no—
376C22⋊C4×D61—21no—
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431C4×#92418C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×D4×C61C2311yescharacteristic
436C23×C4×C61—21no—
437C2×M16×C61C2311yescharacteristic
438C2×M16×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C4×Q8×C61—21no—
446C4×Q8×C61—21no—
447C4×D4×C61—21no—
448C4×D4×C61—21no—
449C4×D4×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456C2×C22⋊C4×C61—21no—
457C2×C42×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×D4×C61—22no—
483C2×D4×C61—21no—
484C2×D4×C61—41no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—82no—
493C22×C4×C61C2×D411yescharacteristic
494C22×C4×C61C2×D411yescharacteristic
495C22×C4×C61C2411yescharacteristic
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
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—82no—
505C2×C22⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510#11758224—22no—
511#11758224—41no—
512D4×D61—22no—
513D4×D61—41no—
514#11758222—82no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244C2×D411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61C2411yescharacteristic
530C2×C4×D61C2411yescharacteristic
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122C2×D411yescharacteristic
535C2×Dic122C2411yescharacteristic
536C2×Dic122C2411yescharacteristic
537M16×C61—41no—
538M16×C61—41no—
539C2×C8×C61C2411yescharacteristic
540C2×C8×C61C2411yescharacteristic
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C42×C61—21no—
563C42×C61—21no—
564C42×C61C2×D411yescharacteristic
565C42×C61C2×D411yescharacteristic
566C42×C61C2411yescharacteristic
567C42×C61C2411yescharacteristic
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61C2×D411yescharacteristic
577C22⋊Dic61C2×D411yescharacteristic
578#11758200—22no—
579#11758200—41no—
580#11758199—22no—
581#11758199—41no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2×D411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664Dic244—41no—
665D488—41no—
666#11758190—41no—
667#11758190—41no—
668#11758189—41no—
669#11758189—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—42no—
675C23×C61—42no—
676C23×C61—81no—
677C23×C61C22×D411yescharacteristic
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—81no—
682C22×D61—81no—
683C22×D61C22×D411yescharacteristic
684C22×D61C22×D411yescharacteristic
685Q8×C61—81no—
686Q8×C61—81no—
687D4×C61—21no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—42no—
691D4×C612−1+412yes—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—41no—
701C2×C4×C61—41no—
702C2×C4×C61—42no—
703C2×C4×C61—81no—
704C2×C4×C61—81no—
705C2×C4×C61—81no—
706C2×C4×C61—81no—
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C2511yescharacteristic
713C22⋊D61—41no—
714C22⋊D61—41no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—42no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—42no—
730C2×Dic61—81no—
731C2×Dic61—81no—
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738D244—21no—
739D244—21no—
740D244—21no—
741D244—21no—
742D244—41no—
743D244—81no—
744D244—81no—
745D244—81no—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—81no—
751C4×D61—81no—
752C4×D61—81no—
753C4×D61—81no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758Dic122—21no—
759Dic122—21no—
760Dic122—21no—
761Dic122—21no—
762Dic122—41no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62175—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—22no—
778C22×C61—21no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—84no—
785C22×C61C23×D411yescharacteristic
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—162no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
803C4×C61—21no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61C2×2−1+411yescharacteristic
811C4×C61#58511yescharacteristic
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—21no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824#3565—611no—
825#3513—611no—
826#3389—611no—
827#3381—611no—
828#3371—611no—
829#3361—611no—
830#3354—611no—
831#3351—611no—
832#3351—611no—
833#3349—611no—
834#3343—611no—
835#3339—611no—
836#3324—611no—
837#3323—611no—
838#3322—611no—
839#3319—611no—
840#3318—611no—
841#3296—611no—
842#3262—611no—
843#3257—611no—
844#3256—611no—
845#3244—611no—
846#3241—611no—
847#3233—611no—
848#3125—611no—
849#3118—611no—
850#3105—611no—
851#3083—611no—
852#3081—611no—
853#3077D6111yescharacteristic, complemented
854#2993—611no—
855C2×C61—42no—
856C2×C61—41no—
857C2×C61—81no—
858C2×C61#348911yescharacteristic
859C2×C61#358411yescharacteristic
860C2×C61#358511yescharacteristic
861D61—41no—
862D61—41no—
863D61—81no—
864D61—81no—
865#563—1221no—
866#562—1221no—
867#559—611no—
868#557—611no—
869#556—611no—
870#556—1221no—
871#555—611no—
872#554—611no—
873#554—611no—
874#553—611no—
875#553—611no—
876#553—611no—
877#553—1221no—
878#552—611no—
879#552—611no—
880#552—611no—
881#552—1221no—
882#551—1221no—
883#551—1221no—
884#547—611no—
885#546—611no—
886#546—611no—
887#546—1221no—
888D42—611no—
889#544—611no—
890#544—611no—
891#542—611no—
892#542—611no—
893#542—611no—
894#542—1221no—
895#542—1221no—
896#541—1221no—
897#540—611no—
898#539—1221no—
899#539—1221no—
900#538—1221no—
901#533C2×D6111yescharacteristic, complemented
902#529—611no—
903#529—611no—
904#529—611no—
905#525—1221no—
906C2×#123—1221no—
907#520—611no—
908#518—611no—
909C2×C4×D4C2×D6111yescharacteristic
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#499—611no—
915#498—611no—
916#490—611no—
917#489—611no—
918#488—611no—
919#488—611no—
920#488—611no—
921#486—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#485—611no—
926#484—611no—
927#483—611no—
928#483—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#481—611no—
936#481—611no—
937#481—611no—
938#481—611no—
939#480—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478C2×D6111yescharacteristic
953#478C2×D6111yescharacteristic
954#478C2×D6111yescharacteristic, complemented
955#478C2×D6111yescharacteristic, complemented
956#477—611no—
957#477—611no—
958#477—611no—
959#476—611no—
960#476—611no—
961#476C2×D6111yescharacteristic
962#476C2×D6111yescharacteristic, complemented
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474C2×D6111yescharacteristic
969#474C2×D6111yescharacteristic, complemented
970#470—611no—
971#469—611no—
972#469—611no—
973#468—611no—
974#468—611no—
975#468—611no—
976#468—611no—
977#468—611no—
978#467—611no—
979#466—611no—
980#466—611no—
981#465—611no—
982#464—611no—
983#464—611no—
984#464—611no—
985#463—611no—
986#463—611no—
987#463—611no—
988#463—611no—
989#463—611no—
990#460—611no—
991#459—611no—
992#452—611no—
993#450—611no—
994#450—611no—
995#449—611no—
996#447—611no—
997#447—611no—
998#446—611no—
999C8×Q8—611no—
1000#442—611no—
1001#442—611no—
1002#441—611no—
1003#440—611no—
1004C4×SD16—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×D8—611no—
1010C4×D8—611no—
1011C4×D8—611no—
1012#436—611no—
1013#436—611no—
1014#436—611no—
1015#435—611no—
1016#435—611no—
1017C8×D4—611no—
1018#433—611no—
1019#433—611no—
1020#431—611no—
1021#428—611no—
1022#428—611no—
1023#428C2×D6111yescharacteristic, complemented
1024#428C2×D6111yescharacteristic, complemented
1025#427—611no—
1026C2×#107—611no—
1027#424—611no—
1028#424—611no—
1029#423C2×D6111yescharacteristic, complemented
1030#418—611no—
1031#418C2×D6111yescharacteristic
1032#418C2×D6111yescharacteristic
1033#417—611no—
1034#416—611no—
1035C2×#102—611no—
1036C61#6217511yescharacteristic, complemented, Sylow
1037C2×#41—611no—
1038C2×#41—1221no—
1039C22×D4—611no—
1040C22×D4—1221no—
1041C22×D4C22×D6111yescharacteristic
1042C23×C4—21no—
1043C2×Q16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16—611no—
1047C2×SD16—611no—
1048C2×D8—611no—
1049C2×D8—611no—
1050C2×D8—611no—
1051C2×M16—611no—
1052C2×M16—611no—
1053C2×M16C22×D6111yescharacteristic
1054C2×M16C22×D6111yescharacteristic
1055C22×C8—611no—
1056C22×C8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—1221no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8C22×D6111yescharacteristic
1064C4⋊Q8C22×D6111yescharacteristic
1065#127—611no—
1066#126—611no—
1067#126—611no—
1068#126—1221no—
1069#126—1221no—
1070#126—1221no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#125—611no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—1221no—
1088#125—1221no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125C22×D6111yescharacteristic
1095#125C22×D6111yescharacteristic
1096#124—611no—
1097#124—611no—
1098#124—611no—
1099#124—611no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#123—611no—
1108#123—611no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—611no—
1133C22⋊Q8—611no—
1134C22⋊Q8—611no—
1135C22⋊Q8—611no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150#121—611no—
1151#121—611no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—611no—
1156#121—611no—
1157#121—611no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#120—1221no—
1168#120—1221no—
1169#120—1221no—
1170#120—1221no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—611no—
1177C4×Q8—611no—
1178C4×Q8—611no—
1179C4×Q8—1221no—
1180C4×Q8—1221no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4C22×D6111yescharacteristic
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117C22×D6111yescharacteristic
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—1221no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4C22×D6111yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1221no—
1230C2×C22⋊C4—1221no—
1231C2×C22⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C42C22×D6111yescharacteristic
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107C22×D6111yescharacteristic
1243#107C22×D6111yescharacteristic
1244#107C22×D6111yescharacteristic
1245#107C22×D6111yescharacteristic
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106C22×D6111yescharacteristic
1255#106C22×D6111yescharacteristic
1256#106C22×D6111yescharacteristic
1257#106C22×D6111yescharacteristic
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8C22×D6111yescharacteristic
1265C4⋊C8C22×D6111yescharacteristic
1266C4⋊C8C22×D6111yescharacteristic
1267C4⋊C8C22×D6111yescharacteristic
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102C22×D6111yescharacteristic
1293#102C22×D6111yescharacteristic
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299#102C22×D6111yescharacteristic
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304C22⋊C8—611no—
1305C22⋊C8—611no—
1306#97—611no—
1307#97—611no—
1308C4×C8—611no—
1309C4×C8—611no—
1310C4×C8—611no—
1311C4×C8—611no—
1312C24—21no—
1313C24—1221no—
1314#41—1222no—
1315#41—4882no—
1316#41—2441no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—611no—
1320C2×Q8—611no—
1321C2×Q8—611no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—41no—
1328C2×D4—611no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1222no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—4882no—
1346C2×D4—2441no—
1347C2×D4C23×D6111yescharacteristic
1348C2×D4C23×D6111yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—82no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4D4×D6111yescharacteristic
1369C22×C4D4×D6111yescharacteristic
1370C22×C4C23×D6111yescharacteristic
1371Q16—2441no—
1372SD16—1222no—
1373SD16—2441no—
1374SD16—2441no—
1375SD16—2441no—
1376D8—1222no—
1377D8—2441no—
1378D8—2441no—
1379M16—41no—
1380M16—41no—
1381M16—2441no—
1382M16—2441no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8C23×D6111yescharacteristic
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4C23×D6111yescharacteristic
1441C4⋊C4C23×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—611no—
1453C22⋊C4—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C42—21no—
1491C42—21no—
1492C42—611no—
1493C42—611no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42D4×D6111yescharacteristic
1503C42D4×D6111yescharacteristic
1504C42C23×D6111yescharacteristic
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—42no—
1510C23—81no—
1511C23—611no—
1512C23—611no—
1513C23—1221no—
1514C23—1221no—
1515C23—4881no—
1516C23—4881no—
1517C23—2442no—
1518C23C2×D4×D6111yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—1221no—
1522Q8—1221no—
1523Q8—1221no—
1524Q8—1221no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—4881no—
1528Q8—2441no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—42no—
1533D4—1221no—
1534D4—1221no—
1535D4—1221no—
1536D4—1221no—
1537D4—4881no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—4881no—
1545D4—2441no—
1546D4—2441no—
1547D4—2441no—
1548D4—2442no—
1549D4—2442no—
1550D4—2442no—
1551D4#1451982512yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—611no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—2442no—
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C24×D6111yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—84no—
1618C22—1221no—
1619C22—1221no—
1620C22—1221no—
1621C22—1221no—
1622C22—1221no—
1623C22—1221no—
1624C22—9762no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22—2441no—
1630C22—2441no—
1631C22C22×D4×D6111yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—1221no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4C2×#1451982511yescharacteristic
1656C4#1684059811yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—4881no—
1661C2—4881no—
1662C2—2441no—
1663C2—2441no—
1664C2#2145949511yescharacteristic
1665C2#2146059211yescharacteristic
1666C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3077C2
socleC22×C61C23×D4
hypercenter#3077D61
hypocenterC61#62175
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3077

Complements

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

NH ≅ G/Ntype
1. #21460468C2semidirect
2. #21459759C2semidirect
3. #21458777C2semidirect
4. #21458689C2semidirect
5. #21458585C2semidirect
6. #21458482C2semidirect
7. #21458410C2semidirect
8. #21458386C2semidirect
9. #21458375C2semidirect
10. #21458350C2semidirect
11. #21458260C2semidirect
12. #21458218C2semidirect
13. #21458046C2semidirect
14. #21458031C2semidirect
15. #21458017C2semidirect
16. #21457976C2semidirect
17. #21457961C2semidirect
18. #21457651C2semidirect
19. #21457279C2semidirect
20. #21457229C2semidirect
21. #21457220C2semidirect
22. #21457114C2semidirect
23. #21457079C2semidirect
24. #21456998C2semidirect
25. #21456101C2semidirect
26. #21456010C2semidirect
27. #21455866C2semidirect
28. #21455665C2semidirect
29. #21455645C2semidirect
30. #21454964C2semidirect
31. C61×#3077C2semidirect
35. #16840489C22semidirect
38. #16840475C22semidirect
40. #16840468C22semidirect
41. #16840465C22semidirect
46. #16840451C22semidirect
47. #16840450C22semidirect
56. #16840389C22semidirect
57. #16840389C22semidirect
58. #16840386C22semidirect
59. #16840386C22semidirect
70. #16840296C22semidirect
75. #16840170C22semidirect
76. #16840169C22semidirect
77. #16840163C22semidirect
78. #16840161C22semidirect
79. #16840161C22semidirect
80. #16840159C22semidirect
82. #16840120C22semidirect
83. #16840119C22semidirect
84. #16840119C22semidirect
85. #16840115C22semidirect
87. #16840106C22semidirect
88. #16840105C22semidirect
89. #16840103C22semidirect
90. #16840103C22semidirect
91. #16840097C22semidirect
92. #16840094C22semidirect
93. #16840094C22semidirect
94. #16840089C22semidirect
95. #16840089C22semidirect
99. #16840084C22semidirect
100. #16840082C22semidirect
101. #16840080C22semidirect
103. #16840079C22semidirect
104. #16840077C22semidirect
105. #16840072C22semidirect
106. #16840070C22semidirect
107. #16840070C22semidirect
108. #16840068C22semidirect
111. #16840063C22semidirect
112. #16840063C22semidirect
114. #16840062C22semidirect
115. #16840061C22semidirect
116. #16840061C22semidirect
117. #16840056C22semidirect
118. #16840056C22semidirect
119. #16840054C22semidirect
120. #16840051C22semidirect
121. #16840049C22semidirect
122. #16840044C22semidirect
123. #16840041C22semidirect
126. #16840039C22semidirect
127. #16840020C22semidirect
128. #16840016C22semidirect
130. #16840009C22semidirect
132. #16840008C22semidirect
134. #16840007C22semidirect
135. #16840004C22semidirect
137. #16839997C22semidirect
138. #16839992C22semidirect
139. #16839985C22semidirect
140. #16839985C22semidirect
141. #16839983C22semidirect
142. #16839978C22semidirect
143. #16839978C22semidirect
145. #16839977C22semidirect
146. #16839976C22semidirect
155. #16839889C22semidirect
156. #16839886C22semidirect
159. #16839868C22semidirect
160. #16839861C22semidirect
163. #16839849C22semidirect
165. C4×#11758200C22semidirect
166. #16839844C22semidirect
168. C4×#11758199C22semidirect
169. #16839839C22semidirect
171. #16839838C22semidirect
173. #16839831C22semidirect
174. #16839827C22semidirect
175. #16839822C22semidirect
176. #16839822C22semidirect
177. #16839815C22semidirect
178. #16839803C22semidirect
179. #16839801C22semidirect
180. #16839797C22semidirect
181. #107×D61C22semidirect
182. #16839787C22semidirect
183. #16839787C22semidirect
188. C61×#533C22semidirect
192. C61×#478C22semidirect
193. C61×#478C22semidirect
195. C61×#476C22semidirect
197. C61×#474C22semidirect
198. C61×#428C22semidirect
199. C61×#428C22semidirect
200. C61×#423C22semidirect
853. #3077D61semidirect
901. #533C2×D61semidirect
954. #478C2×D61semidirect
955. #478C2×D61semidirect
962. #476C2×D61semidirect
969. #474C2×D61semidirect
1023. #428C2×D61semidirect
1024. #428C2×D61semidirect
1029. #423C2×D61semidirect
1036. C61#62175semidirect

Maximal subgroups

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

subgroupindex
#214604682
#214597592
#214587772
#214586892
#214585852
#214584822
#214584102
#214583862
#214583752
#214583502
#214582602
#214582182
#214580462
#214580312
#214580172
#214579762
#214579612
#214576512
#214572792
#214572292
#214572202
#214571142
#214570792
#214569982
#214561012
#214560102
#214558662
#214556652
#214556452
#214549642
C61×#30772
#6217561