Finite Group Databasebeta

← #30558376

Subgroups — #30558376

Order 15616.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459723C211yesmaximal, characteristic, complemented
2#21459605C211yesmaximal, characteristic, complemented
3#21458008C211yesmaximal, characteristic, complemented
4#21458003C211yesmaximal, characteristic, complemented
5#21457976C211yesmaximal, characteristic, complemented
6#21457971C211yesmaximal, characteristic, complemented
7#21457936C211yesmaximal, characteristic, complemented
8#21457925C211yesmaximal, characteristic, complemented
9#21457904C211yesmaximal, characteristic, complemented
10#21457893C211yesmaximal, characteristic, complemented
11#21457892C211yesmaximal, characteristic, complemented
12#21457879C211yesmaximal, characteristic, complemented
13#21457860C211yesmaximal, characteristic, complemented
14#21457812C211yesmaximal, characteristic, complemented
15#21457809C211yesmaximal, characteristic, complemented
16#21457780C211yesmaximal, characteristic, complemented
17#21457777C211yesmaximal, characteristic, complemented
18#489×D61C211yesmaximal, characteristic, complemented
19#21455783C211yesmaximal, characteristic, complemented
20#21455774C211yesmaximal, characteristic, complemented
21#21455631C211yesmaximal, characteristic, complemented
22#21455507C211yesmaximal, characteristic, complemented
23#21455492C211yesmaximal, characteristic, complemented
24#21455310C211yesmaximal, characteristic, complemented
25#21455138C211yesmaximal, characteristic, complemented
26#21455124C211yesmaximal, characteristic, complemented
27#21454614C211yesmaximal, characteristic, complemented
28#21454533C211yesmaximal, characteristic, complemented
29#21454348C211yesmaximal, characteristic, complemented
30#21454344C211yesmaximal, characteristic, complemented
31C61×#3311C211yesmaximal, characteristic, complemented
32C2×#14519824C2211yescharacteristic
33C2×#14519822C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519804C2211yescharacteristic
36C2×#14519798C2211yescharacteristic
37C2×#14519785C2211yescharacteristic
38C2×#14519783C2211yescharacteristic, complemented
39#16840485C2211yescharacteristic, complemented
40#16840475C2211yescharacteristic, complemented
41#16840475C2211yescharacteristic, complemented
42#16840470C2211yescharacteristic, complemented
43#16840470C2211yescharacteristic, complemented
44#16840463—21no—
45#16840463—21no—
46#16840424—21no—
47#16840422C2211yescharacteristic
48#16840421C2211yescharacteristic
49#16840420—21no—
50#16840420C2211yescharacteristic
51#16840418C2211yescharacteristic
52#16840416C2211yescharacteristic, complemented
53#16840415C2211yescharacteristic, complemented
54#16840407C2211yescharacteristic
55#16840406C2211yescharacteristic
56#16840404—21no—
57#16840402—21no—
58#16840401—21no—
59#16840400C2211yescharacteristic
60#16840399—21no—
61#16840378—21no—
62#16840378—21no—
63#16840342C2211yescharacteristic
64#16840342C2211yescharacteristic, complemented
65#16840335C2211yescharacteristic
66#16840334—21no—
67#16840328C2211yescharacteristic
68#16840327—21no—
69#16840316—21no—
70#16840311—21no—
71#16840309C2211yescharacteristic
72#16840307—21no—
73C4⋊Q8×D61C2211yescharacteristic, complemented
74C2×#14519763—21no—
75#124×D61C2211yescharacteristic
76#16840242C2211yescharacteristic
77#16840242C2211yescharacteristic, complemented
78C4×#11758226C2211yescharacteristic, complemented
79C4×#11758224C2211yescharacteristic
80#16840124C2211yescharacteristic, complemented
81#16840123C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic, complemented
83#16840122C2211yescharacteristic, complemented
84#16840121C2211yescharacteristic, complemented
85#16840120C2211yescharacteristic, complemented
86#16840120C2211yescharacteristic, complemented
87#16840105C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840102C2211yescharacteristic, complemented
90#16840098C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840090C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840086C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic, complemented
97#16840082C2211yescharacteristic, complemented
98#16840078C2211yescharacteristic, complemented
99#16840076C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840058C2211yescharacteristic, complemented
102#16840054C2211yescharacteristic, complemented
103#16840052C2211yescharacteristic, complemented
104#16840046C2211yescharacteristic, complemented
105#16840046C2211yescharacteristic, complemented
106#16840040C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840019C2211yescharacteristic, complemented
109#16840016C2211yescharacteristic, complemented
110#16840013C2211yescharacteristic, complemented
111#16840011C2211yescharacteristic, complemented
112#16840010C2211yescharacteristic, complemented
113#16840008C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16840001C2211yescharacteristic, complemented
116#16840000C2211yescharacteristic, complemented
117#16839998C2211yescharacteristic, complemented
118#16839997C2211yescharacteristic, complemented
119#16839994C2211yescharacteristic, complemented
120#16839993C2211yescharacteristic, complemented
121#16839992C2211yescharacteristic, complemented
122#16839986C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic, complemented
124#16839982C2211yescharacteristic, complemented
125#16839980C2211yescharacteristic, complemented
126#16839978C2211yescharacteristic, complemented
127#16839976C2211yescharacteristic, complemented
128#16839974C2211yescharacteristic, complemented
129#16839922C2211yescharacteristic
130#16839921C2211yescharacteristic
131#16839921C2211yescharacteristic, complemented
132#16839917C2211yescharacteristic, complemented
133#16839916C2211yescharacteristic, complemented
134#16839911C2211yescharacteristic
135#16839909C2211yescharacteristic
136#16839908C2211yescharacteristic
137#16839908C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic, complemented
139#16839903C2211yescharacteristic, complemented
140#16839902C2211yescharacteristic, complemented
141#16839897C2211yescharacteristic
142#16839896C2211yescharacteristic
143#16839872C2211yescharacteristic, complemented
144#16839871C2211yescharacteristic, complemented
145#16839867C2211yescharacteristic, complemented
146#16839866C2211yescharacteristic, complemented
147#16839864C2211yescharacteristic, complemented
148#16839863C2211yescharacteristic, complemented
149#16839861C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839835C2211yescharacteristic, complemented
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155#16839831C2211yescharacteristic, complemented
156#16839830C2211yescharacteristic, complemented
157#16839801C2211yescharacteristic, complemented
158#16839801C2211yescharacteristic, complemented
159#16839799C2211yescharacteristic, complemented
160#16839784C2211yescharacteristic, complemented
161#16839770C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic, complemented
163#16839769C2211yescharacteristic, complemented
164#16839765C2211yescharacteristic
165#16839765C2211yescharacteristic
166#16839764C2211yescharacteristic
167#16839763C2211yescharacteristic, complemented
168#16839760C2211yescharacteristic
169#16839760C2211yescharacteristic
170#16839760C2211yescharacteristic
171#16839760C2211yescharacteristic, complemented
172#16839757C2211yescharacteristic, complemented
173#16839756C2211yescharacteristic
174#16839755C2211yescharacteristic
175#16839755C2211yescharacteristic
176#16839755C2211yescharacteristic, complemented
177C2×#14519702C2211yescharacteristic, complemented
178#103×D61C2211yescharacteristic, complemented
179#103×D61C2211yescharacteristic, complemented
180#103×D61C2211yescharacteristic, complemented
181C2×#14519698C2211yescharacteristic
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185#16839727C2211yescharacteristic
186#16839727C2211yescharacteristic, complemented
187#97×D61C2211yescharacteristic, complemented
188C61×#556C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#476C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C61×#416C2211yescharacteristic, complemented
203#14519824—24no—
204#14519824—42no—
205#14519822—24no—
206#14519822—42no—
207C2×#11758226—21no—
208C2×#11758226C2311yescharacteristic
209C2×#11758222—21no—
210C2×#11758222C2311yescharacteristic
211C2×#11758222C2311yescharacteristic
212C2×#11758222C2311yescharacteristic
213C2×#11758224—21no—
214C2×#11758224—21no—
215C2×#11758224—21no—
216C2×#11758224—21no—
217C2×#11758224C2311yescharacteristic
218C2×#11758224C2311yescharacteristic
219C2×#11758224C2311yescharacteristic
220C22×Dic122—21no—
221C22×Dic122C2311yescharacteristic
222C2×Q8×D61—21no—
223C2×Q8×D61C2311yescharacteristic
224C2×Q8×D61C2311yescharacteristic
225C22×C22⋊D61—21no—
226C22×C22⋊D61—21no—
227C2×D4×D61—21no—
228C2×D4×D61C2311yescharacteristic
229C2×D4×D61C2311yescharacteristic
230#14519809—42no—
231#14519804—42no—
232#14519798—24no—
233C2×#11758202C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758190C2311yescharacteristic
236C2×#11758190C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×#11758201C2311yescharacteristic
239C2×D488C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242#14519785—42no—
243#14519783—42no—
244C2×#11758194C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C2×#11758189C2311yescharacteristic
247C2×#11758189C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249C22×#92418C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251C2×C8×D61C2311yescharacteristic
252C2×C8×D61C2311yescharacteristic
253C2×C8×D61C2311yescharacteristic
254#14519777C2311yescharacteristic
255#14519776—21no—
256#14519776—21no—
257#14519776D411yescharacteristic
258#14519776C2311yescharacteristic
259#14519776C2311yescharacteristic
260#14519775—21no—
261#14519773—21no—
262#14519773D411yescharacteristic
263#14519772—21no—
264#14519772—21no—
265#14519767—21no—
266#14519767—21no—
267#14519766C2311yescharacteristic
268#14519765—21no—
269#14519765—21no—
270#14519765—21no—
271#14519765C2311yescharacteristic
272#14519764C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763D411yescharacteristic
284#14519763D411yescharacteristic
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519761—21no—
289#14519761—21no—
290#14519761—21no—
291#14519760—21no—
292#14519759—21no—
293#14519758—21no—
294#14519757—21no—
295#14519757—21no—
296#14519757—21no—
297#14519757C2311yescharacteristic
298#14519756C2311yescharacteristic
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519753—21no—
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519753C2311yescharacteristic
311#14519752—21no—
312#14519752—21no—
313#14519752D411yescharacteristic
314#14519752C2311yescharacteristic
315#14519752C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519751—21no—
318#14519751C2311yescharacteristic
319#14519751C2311yescharacteristic
320#14519751C2311yescharacteristic
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519750D411yescharacteristic
330#14519750D411yescharacteristic
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519748D411yescharacteristic
336#14519748C2311yescharacteristic
337#14519747—21no—
338#14519747—21no—
339#14519746—21no—
340#14519745—21no—
341#14519745—21no—
342Q8×Dic61C2311yescharacteristic
343C4×Dic122—21no—
344C4×Dic122—21no—
345C4×Dic122—21no—
346C4×Dic122C2311yescharacteristic
347#14519742C2311yescharacteristic
348C4×D244—21no—
349C4×D244—21no—
350C4×D244—21no—
351C4×D244C2311yescharacteristic
352C4×D244C2311yescharacteristic
353D4×Dic61—21no—
354D4×Dic61C2311yescharacteristic
355#14519739—21no—
356#14519739—21no—
357#14519739C2311yescharacteristic
358C4×C22⋊D61—21no—
359C4×C22⋊D61C2311yescharacteristic
360C4×C22⋊D61C2311yescharacteristic
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519737—21no—
368#14519737—21no—
369#14519737—21no—
370#14519735—21no—
371#14519735C2311yescharacteristic
372#14519735C2311yescharacteristic
373#14519735C2311yescharacteristic
374#14519735C2311yescharacteristic
375#14519734—21no—
376#14519734—21no—
377#14519733—21no—
378C2×C4⋊Dic61C2311yescharacteristic
379C2×C4⋊Dic61C2311yescharacteristic
380C4⋊C4×D61—21no—
381C4⋊C4×D61C2311yescharacteristic
382C4⋊C4×D61C2311yescharacteristic
383C4⋊C4×D61C2311yescharacteristic
384C4⋊C4×D61C2311yescharacteristic
385C2×C22⋊Dic61—21no—
386C2×#11758198—21no—
387C2×#11758198—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C2×C4×Dic61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519711C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C22×D4×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#126×C61—21no—
453#126×C61—21no—
454#124×C61—21no—
455#124×C61C2311yescharacteristic
456#123×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#120×C61—21no—
463C4×Q8×C61—21no—
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic
469C2×C22⋊C4×C61—21no—
470#107×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C24×C61—21no—
488C23×D61—21no—
489C23×D61—21no—
490#41×C61—22no—
491#41×C61—41no—
492C2×Q8×C61—21no—
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—22no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—41no—
500C2×D4×C61C2×D411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61C2411yescharacteristic
506C22×C4×C61C2411yescharacteristic
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⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—44no—
518C2×C22⋊D61—44no—
519C2×C22⋊D61C2×D411yescharacteristic
520C2×C22⋊D61C2×D411yescharacteristic
521C2×C22⋊D61C2×D411yescharacteristic
522C2×C22⋊D61C2×D411yescharacteristic
523C2×C22⋊D61C2×D411yescharacteristic
524C2×C22⋊D61C2×D411yescharacteristic
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61—21no—
532#11758226—22no—
533#11758226—22no—
534#11758226—82no—
535Q8×D61—22no—
536Q8×D61—22no—
537Q8×D61—22no—
538Q8×D61—41no—
539Q8×D61—82no—
540#11758224—22no—
541#11758224—22no—
542#11758224—22no—
543#11758224—41no—
544#11758224—41no—
545#11758224—44no—
546#11758224—44no—
547#11758224—44no—
548#11758224—82no—
549#11758224#4114yescomplemented
550D4×D61—22no—
551D4×D61—22no—
552D4×D61—22no—
553D4×D61—41no—
554D4×D61—44no—
555#11758222—22no—
556#11758222—22no—
557#11758222—22no—
558#11758222—22no—
559#11758222—22no—
560#11758222—41no—
561#11758222—44no—
562C2×D244—21no—
563C2×D244—21no—
564C2×D244—21no—
565C2×D244—21no—
566C2×D244C2×D411yescharacteristic
567C2×D244C2×D411yescharacteristic
568C2×D244C2×D411yescharacteristic
569C2×D244C2411yescharacteristic
570C2×D244C2411yescharacteristic
571C2×C4×D61—21no—
572C2×C4×D61—21no—
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—21no—
581C2×C4×D61C2×D411yescharacteristic
582C2×C4×D61C2×D411yescharacteristic
583C2×C4×D61C2411yescharacteristic
584C2×C4×D61C2411yescharacteristic
585C2×C4×D61C2411yescharacteristic
586C2×Dic122—22no—
587C2×Dic122—21no—
588C2×Dic122—21no—
589C2×Dic122—21no—
590C2×Dic122—21no—
591C2×Dic122—21no—
592C2×Dic122—21no—
593C2×Dic122—41no—
594C2×Dic122—44no—
595C2×Dic122C2×D411yescharacteristic
596C2×Dic122C2×D411yescharacteristic
597C2×Dic122C2411yescharacteristic
598C2×Dic122C2411yescharacteristic
599Q16×C61—41no—
600SD16×C61—22no—
601SD16×C61—41no—
602M16×C61—41no—
603C2×C8×C61—41no—
604C2×C8×C61C2411yescharacteristic
605C2×C8×C61C2411yescharacteristic
606C2×C8×C61C2411yescharacteristic
607C2×C8×C61C2411yescharacteristic
608C4⋊C4×C61—21no—
609C4⋊C4×C61—21no—
610C4⋊C4×C61—21no—
611C4⋊C4×C61—21no—
612C4⋊C4×C61—21no—
613C4⋊C4×C61C2×D411yescharacteristic
614C4⋊C4×C61C2411yescharacteristic
615C4⋊C4×C61C2411yescharacteristic
616C4⋊C4×C61C2411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C22⋊C4×C61—21no—
619C22⋊C4×C61—21no—
620C22⋊C4×C61—21no—
621C22⋊C4×C61—21no—
622C22⋊C4×C61—21no—
623C22⋊C4×C61—21no—
624C22⋊C4×C61—21no—
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61C2×D411yescharacteristic
628C22⋊C4×C61C2×D411yescharacteristic
629C42×C61—21no—
630C42×C61—21no—
631C42×C61—21no—
632C42×C61C2411yescharacteristic
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61C2×D411yescharacteristic
639C22⋊Dic61C2×D411yescharacteristic
640#11758202—22no—
641#11758202—41no—
642#11758201—41no—
643#11758201—41no—
644#11758199—22no—
645#11758199—41no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666#11758198C2×D411yescharacteristic
667#11758198C2×D411yescharacteristic
668#11758198C2×D411yescharacteristic
669#11758198C2×D411yescharacteristic
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61—21no—
673C4⋊Dic61—21no—
674C4⋊Dic61—21no—
675C4⋊Dic61C2×D411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
677C4⋊Dic61C2411yescharacteristic
678C4⋊Dic61C2411yescharacteristic
679C4⋊Dic61C2411yescharacteristic
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196—21no—
692#11758196C2×D411yescharacteristic
693#11758196C2×D411yescharacteristic
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61C2×D411yescharacteristic
702C4×Dic61C2×D411yescharacteristic
703C4×Dic61C2411yescharacteristic
704#11758194—41no—
705C2×#92418—41no—
706C2×#92418C2411yescharacteristic
707C2×#92418C2411yescharacteristic
708C2×#92418C2411yescharacteristic
709C2×#92418C2411yescharacteristic
710D488—41no—
711#11758190—22no—
712#11758190—41no—
713#11758189—22no—
714#11758189—22no—
715#11758189—41no—
716#11758189—41no—
717C8×D61—22no—
718C8×D61—22no—
719C8×D61—41no—
720C8×D61—41no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61—42no—
724C23×C61—81no—
725C23×C61—81no—
726C23×C61C22×D411yescharacteristic
727C23×C61C22×D411yescharacteristic
728C22×D61—21no—
729C22×D61—21no—
730C22×D61—42no—
731C22×D61—42no—
732C22×D61—81no—
733C22×D61—81no—
734C22×D61—81no—
735C22×D61—81no—
736C22×D61C22×D411yescharacteristic
737C22×D61C22×D411yescharacteristic
738C22×D61C22×D411yescharacteristic
739Q8×C61—21no—
740Q8×C61—21no—
741Q8×C61—21no—
742Q8×C61—21no—
743Q8×C61—42no—
744D4×C61—21no—
745D4×C61—21no—
746D4×C61—21no—
747D4×C61—41no—
748D4×C61—42no—
749D4×C61—42no—
750D4×C61—81no—
751D4×C61C2×#4112yes—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—42no—
763C2×C4×C61—81no—
764C2×C4×C61C22×D411yescharacteristic
765C2×C4×C61C22×D411yescharacteristic
766C2×C4×C61C22×D411yescharacteristic
767C2×C4×C61C22×D411yescharacteristic
768C2×C4×C61C2511yescharacteristic
769C22⋊D61—22no—
770C22⋊D61—22no—
771C22⋊D61—24no—
772C22⋊D61—22no—
773C22⋊D61—22no—
774C22⋊D61—41no—
775C22⋊D61—41no—
776C22⋊D61—42no—
777C22⋊D61—42no—
778C22⋊D61—42no—
779C22⋊D61—42no—
780C22⋊D61—42no—
781C22⋊D61—81no—
782C22⋊D61—81no—
783C22⋊D61—81no—
784C22⋊D61—81no—
785C2×Dic61—21no—
786C2×Dic61—24no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—42no—
793C2×Dic61—42no—
794C2×Dic61—42no—
795C2×Dic61—81no—
796C2×Dic61—81no—
797C2×Dic61—81no—
798C2×Dic61C22×D411yescharacteristic
799C2×Dic61C22×D411yescharacteristic
800C2×Dic61C22×D411yescharacteristic
801C2×Dic61C22×D411yescharacteristic
802C2×Dic61C22×D411yescharacteristic
803D244—22no—
804D244—22no—
805D244—21no—
806D244—21no—
807D244—21no—
808D244—21no—
809D244—41no—
810D244—42no—
811D244—81no—
812D244—81no—
813D244—81no—
814C4×D61—21no—
815C4×D61—21no—
816C4×D61—21no—
817C4×D61—21no—
818C4×D61—41no—
819C4×D61—41no—
820C4×D61—42no—
821C4×D61—42no—
822C4×D61—42no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61—42no—
826C4×D61—81no—
827C4×D61—81no—
828C4×D61—81no—
829C4×D61—81no—
830C4×D61C2×#4112yes—
831C4×D61H(5,𝔽2)12yes—
832Dic122—21no—
833Dic122—22no—
834Dic122—22no—
835Dic122—21no—
836Dic122—21no—
837Dic122—42no—
838Dic122—42no—
839Dic122—42no—
840Dic122—42no—
841Dic122—81no—
842Dic122—81no—
843Dic122C2×#4112yes—
844C8×C61—21no—
845C8×C61—21no—
846C8×C61—21no—
847C8×C61—21no—
848#92418—21no—
849#92418—21no—
850#92418—21no—
851#92418—21no—
852#61222—611nomaximal, Sylow
853C22×C61—21no—
854C22×C61—21no—
855C22×C61—21no—
856C22×C61—21no—
857C22×C61—22no—
858C22×C61—21no—
859C22×C61—21no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—162no—
866C22×C61C23×D411yescharacteristic
867C2×D61—21no—
868C2×D61—21no—
869C2×D61—21no—
870C2×D61—21no—
871C2×D61—21no—
872C2×D61—21no—
873C2×D61—21no—
874C2×D61—21no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—162no—
882C2×D61—162no—
883C2×D61#54612yes—
884C4×C61—21no—
885C4×C61—21no—
886C4×C61—21no—
887C4×C61—21no—
888C4×C61—41no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61C22×#4111yescharacteristic
895C4×C61C2×H(5,𝔽2)11yescharacteristic
896Dic61—21no—
897Dic61—21no—
898Dic61—21no—
899Dic61—21no—
900Dic61—22no—
901Dic61—41no—
902Dic61—41no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61#54612yes—
907#3511—611no—
908#3500—611no—
909#3321—611no—
910#3321—611no—
911#3319—611no—
912#3319—611no—
913#3316—611no—
914#3316—611no—
915#3314—611no—
916#3314—611no—
917#3313—611no—
918#3313—611no—
919#3311—611no—
920#3311D6111yescharacteristic, complemented
921#3308—611no—
922#3308—611no—
923#3306—611no—
924#3306—611no—
925C2×#489—611no—
926#3097—611no—
927#3096—611no—
928#3079—611no—
929#3063—611no—
930#3062—611no—
931#3040—611no—
932#3013—611no—
933#3012—611no—
934#2943—611no—
935#2932—611no—
936#2898—611no—
937#2897—611no—
938C2×C61—42no—
939C2×C61—41no—
940C2×C61—41no—
941C2×C61—81no—
942C2×C61C2×#54611yescharacteristic
943C2×C61#358511yescharacteristic
944C2×C61#358611yescharacteristic
945D61—22no—
946D61—41no—
947D61—41no—
948D61—81no—
949D61—81no—
950C2×2−1+4—611no—
951C2×H(5,𝔽2)—611no—
952C2×#137—611no—
953C2×AGL(1,ℤ/8)—611no—
954C2×#135—611no—
955C2×#131—611no—
956C2×#131—611no—
957#556—611no—
958#556C2×D6111yescharacteristic, complemented
959#555—611no—
960#555—611no—
961#554—611no—
962#554—611no—
963#553—1221no—
964#553—1221no—
965#548—611no—
966#548—611no—
967#548—611no—
968#548—611no—
969#548—1221no—
970#548—1221no—
971#547—611no—
972#547—611no—
973#546—611no—
974#546—611no—
975#546—611no—
976#546—1221no—
977#546—1221no—
978#546—1221no—
979#546—1221no—
980#546C2×D6111yescharacteristic
981#542—1221no—
982#542—1221no—
983#537—611no—
984#537—611no—
985#536—611no—
986#536—1221no—
987#535—611no—
988#535—1221no—
989#533—1221no—
990#532—611no—
991#532—1221no—
992#532—1221no—
993C2×C4⋊Q8—611no—
994C2×#124—611no—
995C2×#124—1221no—
996#520—611no—
997#520—611no—
998C4×#41—611no—
999C4×#41—611no—
1000#489—611no—
1001#489—611no—
1002#489—611no—
1003#489—611no—
1004#489—611no—
1005#489—611no—
1006#489—611no—
1007#489C2×D6111yescharacteristic, complemented
1008#485—611no—
1009#485—611no—
1010#485—611no—
1011#485C2×D6111yescharacteristic, complemented
1012#484—611no—
1013#484—611no—
1014#483—611no—
1015#483—611no—
1016#482—611no—
1017#482—611no—
1018#482—611no—
1019#482C2×D6111yescharacteristic, complemented
1020#481—611no—
1021#481—611no—
1022#480—611no—
1023#480—611no—
1024#477—611no—
1025#477—611no—
1026#476—611no—
1027#476C2×D6111yescharacteristic, complemented
1028#475—611no—
1029#475—611no—
1030#474—611no—
1031#474—611no—
1032#470—611no—
1033#470C2×D6111yescharacteristic, complemented
1034#469—611no—
1035#469—611no—
1036#468—611no—
1037#468—611no—
1038#468—611no—
1039#468—611no—
1040#467—611no—
1041#467—611no—
1042#466—611no—
1043#466—611no—
1044#465—611no—
1045#465—611no—
1046#465—611no—
1047#465C2×D6111yescharacteristic, complemented
1048#464—611no—
1049#464—611no—
1050#464—611no—
1051#464C2×D6111yescharacteristic, complemented
1052#463—611no—
1053#463—611no—
1054#463—611no—
1055#463—611no—
1056#452—611no—
1057#452—611no—
1058#452—611no—
1059#452C2×D6111yescharacteristic, complemented
1060#451—611no—
1061#451—611no—
1062#450—611no—
1063#450C2×D6111yescharacteristic
1064#449—611no—
1065#449—611no—
1066#449—611no—
1067#449—611no—
1068#448—611no—
1069#448—611no—
1070#447—611no—
1071#447—611no—
1072#442—611no—
1073#442—611no—
1074#441—611no—
1075#441—611no—
1076#440—611no—
1077#440—611no—
1078#440—611no—
1079#440C2×D6111yescharacteristic, complemented
1080#435—611no—
1081#435—611no—
1082#435—611no—
1083#435—611no—
1084#435—611no—
1085#435—611no—
1086#435—611no—
1087#435C2×D6111yescharacteristic, complemented
1088#428—611no—
1089#428—611no—
1090#427—611no—
1091#423—611no—
1092#419—611no—
1093#419—611no—
1094#419—611no—
1095#418—611no—
1096#418—611no—
1097#418C2×D6111yescharacteristic
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#417—611no—
1102#417—611no—
1103#417—611no—
1104#416—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416C2×D6111yescharacteristic, complemented
1110C2×#103—611no—
1111C2×#103—611no—
1112C2×#103—611no—
1113C2×#103—611no—
1114C2×#102—611no—
1115C2×#102—611no—
1116C2×#102—611no—
1117C2×#102—611no—
1118#408—611no—
1119#408—611no—
1120C2×#97—611no—
1121C61#6122211yescharacteristic, complemented, Sylow
11222−1+4—1224no—
11232−1+4—2442no—
1124H(5,𝔽2)—1224no—
1125H(5,𝔽2)—2442no—
1126C2×#41—611no—
1127C2×#41—611no—
1128C2×#41—611no—
1129C2×#41—611no—
1130C2×#41—611no—
1131C2×#41—611no—
1132C2×#41—611no—
1133C2×#41—1221no—
1134C2×#41—1221no—
1135C2×#41—1221no—
1136C2×#41—1221no—
1137C2×#41—1221no—
1138C2×#41—1221no—
1139C2×#41C22×D6111yescharacteristic
1140C22×Q8—611no—
1141C22×Q8—611no—
1142C22×Q8—611no—
1143C22×Q8—1221no—
1144C22×Q8—1221no—
1145C22×D4—611no—
1146C22×D4—611no—
1147C22×D4—1221no—
1148C22×D4—1221no—
1149C22×D4—1221no—
1150C22×D4C22×D6111yescharacteristic
1151#137—2442no—
1152AGL(1,ℤ/8)—2442no—
1153#135—1224no—
1154C2×Q16—611no—
1155C2×Q16—611no—
1156C2×Q16C22×D6111yescharacteristic
1157C2×SD16—611no—
1158C2×SD16—611no—
1159C2×SD16—611no—
1160C2×SD16—611no—
1161C2×SD16C22×D6111yescharacteristic
1162C2×SD16C22×D6111yescharacteristic
1163C2×D8—611no—
1164C2×D8—611no—
1165C2×D8—611no—
1166#131—2442no—
1167#131—2442no—
1168C2×M16—611no—
1169C2×M16—611no—
1170C2×M16—611no—
1171C2×M16—611no—
1172C2×M16—611no—
1173C2×M16C22×D6111yescharacteristic
1174C22×C8—611no—
1175C22×C8—611no—
1176C22×C8—611no—
1177C22×C8—611no—
1178C22×C8—611no—
1179C22×C8C22×D6111yescharacteristic
1180C4⋊Q8—611no—
1181C4⋊Q8—611no—
1182C4⋊Q8—611no—
1183C4⋊Q8—611no—
1184C4⋊Q8—1221no—
1185C4⋊Q8—1221no—
1186C4⋊Q8—1221no—
1187C4⋊Q8C22×D6111yescharacteristic
1188#127—611no—
1189#127—1221no—
1190#126—21no—
1191#126—21no—
1192#126—1221no—
1193#126—1221no—
1194#125—1221no—
1195#125—1221no—
1196#124—21no—
1197#124—611no—
1198#124—611no—
1199#124—611no—
1200#124—611no—
1201#124—611no—
1202#124—1221no—
1203#124—1221no—
1204#124—1221no—
1205#124—1221no—
1206#124—1221no—
1207#124—1221no—
1208#124—1221no—
1209#124—1221no—
1210#124—1221no—
1211#124—1221no—
1212#124—1221no—
1213#124—1221no—
1214#124—1221no—
1215#124C22×D6111yescharacteristic
1216#123—21no—
1217#123—1221no—
1218#123—1221no—
1219#123—1221no—
1220#123—1221no—
1221#123—1221no—
1222#123—1221no—
1223#123—1221no—
1224#123—1221no—
1225#123—1221no—
1226C22⋊Q8—611no—
1227C22⋊Q8—611no—
1228C22⋊Q8—611no—
1229C22⋊Q8—611no—
1230C22⋊Q8—611no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8—1221no—
1234C22⋊Q8—1221no—
1235C22⋊Q8—1221no—
1236C22⋊Q8—1221no—
1237C22⋊Q8—1221no—
1238C22⋊Q8—1221no—
1239C22⋊Q8—1221no—
1240C22⋊Q8—1221no—
1241C22⋊Q8—1221no—
1242C22⋊Q8—1221no—
1243C22⋊Q8C22×D6111yescharacteristic
1244C22⋊Q8C22×D6111yescharacteristic
1245C22⋊Q8C22×D6111yescharacteristic
1246#121—21no—
1247#121—611no—
1248#121—611no—
1249#121—611no—
1250#121—611no—
1251#121—611no—
1252#121—611no—
1253#121—611no—
1254#121—611no—
1255#121—611no—
1256#121—611no—
1257#121—611no—
1258#121—1221no—
1259#121—1221no—
1260#121—1221no—
1261#121—1221no—
1262#121—1221no—
1263#121—1221no—
1264#121—1221no—
1265#121—1221no—
1266#121—1221no—
1267#121—1221no—
1268#121—1221no—
1269#121—1221no—
1270#121—1221no—
1271#121—1221no—
1272#121—1221no—
1273#121C22×D6111yescharacteristic
1274#120—21no—
1275#120—1221no—
1276#120—1221no—
1277#120—1221no—
1278#120—1221no—
1279#120—1221no—
1280C4×Q8—21no—
1281C4×Q8—611no—
1282C4×Q8—611no—
1283C4×Q8—611no—
1284C4×Q8—1221no—
1285C4×Q8—1221no—
1286C4×Q8—1221no—
1287C4×Q8C22×D6111yescharacteristic
1288C4×D4—611no—
1289C4×D4—611no—
1290C4×D4—611no—
1291C4×D4—611no—
1292C4×D4—611no—
1293C4×D4—611no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4—1221no—
1303C4×D4—1221no—
1304C4×D4—1221no—
1305C4×D4—1221no—
1306C4×D4—1221no—
1307C4×D4—1221no—
1308C4×D4—1221no—
1309C4×D4—1221no—
1310C4×D4C22×D6111yescharacteristic
1311C4×D4C22×D6111yescharacteristic
1312#117—611no—
1313#117—611no—
1314#117—611no—
1315#117—611no—
1316#117—1221no—
1317#117—1221no—
1318#117—1221no—
1319#117—1221no—
1320#117C22×D6111yescharacteristic
1321#117C22×D6111yescharacteristic
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—611no—
1326C2×C4⋊C4—611no—
1327C2×C4⋊C4—611no—
1328C2×C4⋊C4—1221no—
1329C2×C22⋊C4—21no—
1330C2×C22⋊C4—1221no—
1331C2×C22⋊C4—1221no—
1332C2×C22⋊C4—1221no—
1333C2×C22⋊C4—1221no—
1334C2×C22⋊C4—1221no—
1335C2×C42—611no—
1336C2×C42—1221no—
1337C2×C42—1221no—
1338#107—611no—
1339#107—611no—
1340#107—611no—
1341#107—611no—
1342#107—611no—
1343#107C22×D6111yescharacteristic
1344#106—611no—
1345#106—611no—
1346#106—611no—
1347#106—611no—
1348#106C22×D6111yescharacteristic
1349#106C22×D6111yescharacteristic
1350C4⋊C8—611no—
1351C4⋊C8—611no—
1352C4⋊C8—611no—
1353C4⋊C8C22×D6111yescharacteristic
1354#103—611no—
1355#103—611no—
1356#103—611no—
1357#103—611no—
1358#103—611no—
1359#103—611no—
1360#103—611no—
1361#103—611no—
1362#103—611no—
1363#103—611no—
1364#103—611no—
1365#103—611no—
1366#103—611no—
1367#103—611no—
1368#103—611no—
1369#103—611no—
1370#103C22×D6111yescharacteristic
1371#103C22×D6111yescharacteristic
1372#103C22×D6111yescharacteristic
1373#103C22×D6111yescharacteristic
1374#102—611no—
1375#102—611no—
1376#102—611no—
1377#102—611no—
1378#102—611no—
1379#102—611no—
1380#102—611no—
1381#102—611no—
1382#102—611no—
1383#102—611no—
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102C22×D6111yescharacteristic
1389#102C22×D6111yescharacteristic
1390#102C22×D6111yescharacteristic
1391#102C22×D6111yescharacteristic
1392#102C22×D6111yescharacteristic
1393#102C22×D6111yescharacteristic
1394C22⋊C8—611no—
1395C22⋊C8—611no—
1396C22⋊C8—611no—
1397C22⋊C8—611no—
1398C22⋊C8—611no—
1399C22⋊C8—611no—
1400C22⋊C8C22×D6111yescharacteristic
1401C22⋊C8C22×D6111yescharacteristic
1402#97—611no—
1403#97—611no—
1404#97—611no—
1405#97C22×D6111yescharacteristic
1406C24—21no—
1407C24—1221no—
1408C24—1221no—
1409#41—22no—
1410#41—41no—
1411#41—614no—
1412#41—1222no—
1413#41—1222no—
1414#41—1222no—
1415#41—1222no—
1416#41—1222no—
1417#41—1222no—
1418#41—1222no—
1419#41—1222no—
1420#41—1222no—
1421#41—1222no—
1422#41—4882no—
1423#41—4882no—
1424#41—2441no—
1425#41—2444no—
1426#41—2441no—
1427#41—2441no—
1428#41—2444no—
1429#41—2444no—
1430#41—2444no—
1431C2×Q8—21no—
1432C2×Q8—611no—
1433C2×Q8—611no—
1434C2×Q8—611no—
1435C2×Q8—611no—
1436C2×Q8—1221no—
1437C2×Q8—1221no—
1438C2×Q8—1221no—
1439C2×Q8—1221no—
1440C2×Q8—1222no—
1441C2×Q8—1222no—
1442C2×Q8—1222no—
1443C2×Q8—1221no—
1444C2×Q8—1221no—
1445C2×Q8—1222no—
1446C2×Q8—4882no—
1447C2×Q8—2441no—
1448C2×Q8—2444no—
1449C2×Q8—2441no—
1450C2×Q8C23×D6111yescharacteristic
1451C2×Q8C23×D6111yescharacteristic
1452C2×D4—22no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—41no—
1457C2×D4—611no—
1458C2×D4—611no—
1459C2×D4—611no—
1460C2×D4—611no—
1461C2×D4—611no—
1462C2×D4—611no—
1463C2×D4—611no—
1464C2×D4—611no—
1465C2×D4—611no—
1466C2×D4—611no—
1467C2×D4—611no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1222no—
1473C2×D4—1222no—
1474C2×D4—1221no—
1475C2×D4—1221no—
1476C2×D4—1221no—
1477C2×D4—1222no—
1478C2×D4—1221no—
1479C2×D4—1221no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—1221no—
1484C2×D4—1221no—
1485C2×D4—2441no—
1486C2×D4—2444no—
1487C2×D4—2444no—
1488C2×D4—2444no—
1489C2×D4D4×D6111yescharacteristic
1490C2×D4C23×D6111yescharacteristic
1491C2×D4C23×D6111yescharacteristic
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—611no—
1495C22×C4—611no—
1496C22×C4—611no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—1221no—
1500C22×C4—1221no—
1501C22×C4—1221no—
1502C22×C4—1221no—
1503C22×C4—1221no—
1504C22×C4—1221no—
1505C22×C4—1221no—
1506C22×C4—1221no—
1507C22×C4—1221no—
1508C22×C4—1221no—
1509C22×C4—1221no—
1510C22×C4—1221no—
1511C22×C4—1221no—
1512C22×C4—1221no—
1513C22×C4—1221no—
1514C22×C4—1221no—
1515C22×C4—1221no—
1516C22×C4C23×D6111yescharacteristic
1517C22×C4C23×D6111yescharacteristic
1518Q16—41no—
1519Q16—1222no—
1520Q16—2441no—
1521SD16—22no—
1522SD16—41no—
1523SD16—1222no—
1524SD16—2441no—
1525SD16—2441no—
1526SD16—2441no—
1527D8—1222no—
1528D8—2441no—
1529D8—2441no—
1530M16—41no—
1531M16—1222no—
1532M16—1222no—
1533M16—2441no—
1534M16—2441no—
1535M16—2441no—
1536C2×C8—41no—
1537C2×C8—611no—
1538C2×C8—611no—
1539C2×C8—611no—
1540C2×C8—611no—
1541C2×C8—1222no—
1542C2×C8—1222no—
1543C2×C8—2441no—
1544C2×C8—2441no—
1545C2×C8—2441no—
1546C2×C8C23×D6111yescharacteristic
1547C2×C8C23×D6111yescharacteristic
1548C2×C8C23×D6111yescharacteristic
1549C2×C8C23×D6111yescharacteristic
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—611no—
1556C4⋊C4—611no—
1557C4⋊C4—611no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—611no—
1562C4⋊C4—1221no—
1563C4⋊C4—1221no—
1564C4⋊C4—1221no—
1565C4⋊C4—1221no—
1566C4⋊C4—1221no—
1567C4⋊C4—1221no—
1568C4⋊C4—1221no—
1569C4⋊C4—1221no—
1570C4⋊C4—1221no—
1571C4⋊C4—1221no—
1572C4⋊C4—1221no—
1573C4⋊C4—1221no—
1574C4⋊C4—1221no—
1575C4⋊C4—1221no—
1576C4⋊C4—1221no—
1577C4⋊C4—1221no—
1578C4⋊C4—1221no—
1579C4⋊C4D4×D6111yescharacteristic
1580C4⋊C4C23×D6111yescharacteristic
1581C4⋊C4C23×D6111yescharacteristic
1582C4⋊C4C23×D6111yescharacteristic
1583C4⋊C4C23×D6111yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—611no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—611no—
1597C22⋊C4—611no—
1598C22⋊C4—611no—
1599C22⋊C4—1221no—
1600C22⋊C4—1221no—
1601C22⋊C4—1221no—
1602C22⋊C4—1221no—
1603C22⋊C4—1221no—
1604C22⋊C4—1221no—
1605C22⋊C4—1221no—
1606C22⋊C4—1221no—
1607C22⋊C4—1221no—
1608C22⋊C4—1221no—
1609C22⋊C4—1221no—
1610C22⋊C4—1221no—
1611C22⋊C4—1221no—
1612C22⋊C4—1221no—
1613C22⋊C4—1221no—
1614C22⋊C4—1221no—
1615C22⋊C4—1221no—
1616C22⋊C4—1221no—
1617C22⋊C4—1221no—
1618C22⋊C4—1221no—
1619C22⋊C4—1221no—
1620C22⋊C4—1221no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4—1221no—
1624C22⋊C4D4×D6111yescharacteristic
1625C22⋊C4D4×D6111yescharacteristic
1626C42—21no—
1627C42—21no—
1628C42—21no—
1629C42—611no—
1630C42—611no—
1631C42—611no—
1632C42—1221no—
1633C42—1221no—
1634C42—1221no—
1635C42—1221no—
1636C42—1221no—
1637C42—1221no—
1638C42—1221no—
1639C42C23×D6111yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—42no—
1643C23—81no—
1644C23—81no—
1645C23—611no—
1646C23—611no—
1647C23—611no—
1648C23—1221no—
1649C23—1221no—
1650C23—4881no—
1651C23—4881no—
1652C23—4881no—
1653C23—4881no—
1654C23—2442no—
1655C23—2442no—
1656C23C2×D4×D6111yescharacteristic
1657C23C2×D4×D6111yescharacteristic
1658Q8—21no—
1659Q8—21no—
1660Q8—21no—
1661Q8—21no—
1662Q8—42no—
1663Q8—612no—
1664Q8—1222no—
1665Q8—1222no—
1666Q8—1221no—
1667Q8—1221no—
1668Q8—1221no—
1669Q8—4881no—
1670Q8—4881no—
1671Q8—2442no—
1672Q8—2442no—
1673Q8—2442no—
1674Q8—2442no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—41no—
1679D4—42no—
1680D4—42no—
1681D4—81no—
1682D4—1222no—
1683D4—1222no—
1684D4—1222no—
1685D4—1222no—
1686D4—1222no—
1687D4—1222no—
1688D4—1224no—
1689D4—1221no—
1690D4—1221no—
1691D4—1221no—
1692D4—1221no—
1693D4—4881no—
1694D4—4881no—
1695D4—4881no—
1696D4—4881no—
1697D4—4881no—
1698D4—4881no—
1699D4—4881no—
1700D4—2441no—
1701D4—2442no—
1702D4—2442no—
1703D4—2441no—
1704D4—2441no—
1705D4—2442no—
1706D4—2442no—
1707D4—2442no—
1708D4—2442no—
1709D4#41×D6112yes—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—42no—
1721C2×C4—81no—
1722C2×C4—611no—
1723C2×C4—612no—
1724C2×C4—612no—
1725C2×C4—611no—
1726C2×C4—611no—
1727C2×C4—611no—
1728C2×C4—611no—
1729C2×C4—1224no—
1730C2×C4—1221no—
1731C2×C4—1221no—
1732C2×C4—1221no—
1733C2×C4—1221no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—4881no—
1741C2×C4—4881no—
1742C2×C4—4881no—
1743C2×C4—4881no—
1744C2×C4—4881no—
1745C2×C4—4881no—
1746C2×C4—4881no—
1747C2×C4—2441no—
1748C2×C4—2441no—
1749C2×C4—2442no—
1750C2×C4—2442no—
1751C2×C4—2442no—
1752C2×C4—2442no—
1753C2×C4—2442no—
1754C2×C4—2442no—
1755C2×C4—2442no—
1756C2×C4—2442no—
1757C2×C4—2442no—
1758C2×C4C2×D4×D6111yescharacteristic
1759C2×C4C2×D4×D6111yescharacteristic
1760C2×C4C2×D4×D6111yescharacteristic
1761C2×C4C2×D4×D6111yescharacteristic
1762C2×C4C24×D6111yescharacteristic
1763C8—21no—
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—1221no—
1768C8—1221no—
1769C8—1221no—
1770C8—1221no—
1771C22—21no—
1772C22—21no—
1773C22—22no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—162no—
1784C22—612no—
1785C22—1221no—
1786C22—1221no—
1787C22—1221no—
1788C22—1221no—
1789C22—1221no—
1790C22—1221no—
1791C22—1221no—
1792C22—1221no—
1793C22—9762no—
1794C22—9762no—
1795C22—2441no—
1796C22—2441no—
1797C22—2441no—
1798C22—2441no—
1799C22—2441no—
1800C22—2441no—
1801C22C22×D4×D6111yescharacteristic
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—612no—
1813C4—1221no—
1814C4—1221no—
1815C4—1222no—
1816C4—1221no—
1817C4—1221no—
1818C4—2441no—
1819C4—2441no—
1820C4—2441no—
1821C4—2441no—
1822C4—2441no—
1823C4C2×#41×D6111yescharacteristic
1824C4H(5,𝔽2)×D6111yescharacteristic
1825C2—41no—
1826C2—41no—
1827C2—42no—
1828C2—81no—
1829C2—1222no—
1830C2—4881no—
1831C2—4881no—
1832C2—2441no—
1833C2—2441no—
1834C2#546×D6111yescharacteristic
1835C2#2146059611yescharacteristic
1836C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3311C2
socleC22×C61C23×D4
hypercenter#3311D61
hypocenterC61#61222
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #21459723C2semidirect
2. #21459605C2semidirect
3. #21458008C2semidirect
4. #21458003C2semidirect
5. #21457976C2semidirect
6. #21457971C2semidirect
7. #21457936C2semidirect
8. #21457925C2semidirect
9. #21457904C2semidirect
10. #21457893C2semidirect
11. #21457892C2semidirect
12. #21457879C2semidirect
13. #21457860C2semidirect
14. #21457812C2semidirect
15. #21457809C2semidirect
16. #21457780C2semidirect
17. #21457777C2semidirect
18. #489×D61C2semidirect
19. #21455783C2semidirect
20. #21455774C2semidirect
21. #21455631C2semidirect
22. #21455507C2semidirect
23. #21455492C2semidirect
24. #21455310C2semidirect
25. #21455138C2semidirect
26. #21455124C2semidirect
27. #21454614C2semidirect
28. #21454533C2semidirect
29. #21454348C2semidirect
30. #21454344C2semidirect
31. C61×#3311C2semidirect
34. C2×#14519809C22semidirect
38. C2×#14519783C22semidirect
39. #16840485C22semidirect
40. #16840475C22semidirect
41. #16840475C22semidirect
42. #16840470C22semidirect
43. #16840470C22semidirect
52. #16840416C22semidirect
53. #16840415C22semidirect
64. #16840342C22semidirect
73. C4⋊Q8×D61C22semidirect
77. #16840242C22semidirect
78. C4×#11758226C22semidirect
80. #16840124C22semidirect
81. #16840123C22semidirect
82. #16840123C22semidirect
83. #16840122C22semidirect
84. #16840121C22semidirect
85. #16840120C22semidirect
86. #16840120C22semidirect
87. #16840105C22semidirect
88. #16840103C22semidirect
89. #16840102C22semidirect
90. #16840098C22semidirect
91. #16840096C22semidirect
92. #16840094C22semidirect
93. #16840090C22semidirect
94. #16840089C22semidirect
95. #16840086C22semidirect
96. #16840084C22semidirect
97. #16840082C22semidirect
98. #16840078C22semidirect
99. #16840076C22semidirect
100. #16840074C22semidirect
101. #16840058C22semidirect
102. #16840054C22semidirect
103. #16840052C22semidirect
104. #16840046C22semidirect
105. #16840046C22semidirect
106. #16840040C22semidirect
107. #16840040C22semidirect
108. #16840019C22semidirect
109. #16840016C22semidirect
110. #16840013C22semidirect
111. #16840011C22semidirect
112. #16840010C22semidirect
113. #16840008C22semidirect
114. #16840005C22semidirect
115. #16840001C22semidirect
116. #16840000C22semidirect
117. #16839998C22semidirect
118. #16839997C22semidirect
119. #16839994C22semidirect
120. #16839993C22semidirect
121. #16839992C22semidirect
122. #16839986C22semidirect
123. #16839984C22semidirect
124. #16839982C22semidirect
125. #16839980C22semidirect
126. #16839978C22semidirect
127. #16839976C22semidirect
128. #16839974C22semidirect
131. #16839921C22semidirect
132. #16839917C22semidirect
133. #16839916C22semidirect
137. #16839908C22semidirect
138. #16839907C22semidirect
139. #16839903C22semidirect
140. #16839902C22semidirect
143. #16839872C22semidirect
144. #16839871C22semidirect
145. #16839867C22semidirect
146. #16839866C22semidirect
147. #16839864C22semidirect
148. #16839863C22semidirect
149. #16839861C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
157. #16839801C22semidirect
158. #16839801C22semidirect
159. #16839799C22semidirect
160. #16839784C22semidirect
161. #16839770C22semidirect
162. #16839769C22semidirect
163. #16839769C22semidirect
167. #16839763C22semidirect
171. #16839760C22semidirect
172. #16839757C22semidirect
176. #16839755C22semidirect
177. C2×#14519702C22semidirect
178. #103×D61C22semidirect
179. #103×D61C22semidirect
180. #103×D61C22semidirect
186. #16839727C22semidirect
187. #97×D61C22semidirect
188. C61×#556C22semidirect
190. C61×#489C22semidirect
191. C61×#485C22semidirect
192. C61×#482C22semidirect
193. C61×#476C22semidirect
194. C61×#470C22semidirect
195. C61×#465C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
202. C61×#416C22semidirect
549. #11758224#41semidirect
920. #3311D61semidirect
958. #556C2×D61semidirect
1007. #489C2×D61semidirect
1011. #485C2×D61semidirect
1019. #482C2×D61semidirect
1027. #476C2×D61semidirect
1033. #470C2×D61semidirect
1047. #465C2×D61semidirect
1051. #464C2×D61semidirect
1059. #452C2×D61semidirect
1079. #440C2×D61semidirect
1087. #435C2×D61semidirect
1109. #416C2×D61semidirect
1121. C61#61222semidirect

Maximal subgroups

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

subgroupindex
#214597232
#214596052
#214580082
#214580032
#214579762
#214579712
#214579362
#214579252
#214579042
#214578932
#214578922
#214578792
#214578602
#214578122
#214578092
#214577802
#214577772
#489×D612
#214557832
#214557742
#214556312
#214555072
#214554922
#214553102
#214551382
#214551242
#214546142
#214545332
#214543482
#214543442
C61×#33112
#6122261