Finite Group Databasebeta

← #30558378

Subgroups — #30558378

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#21459727C211yesmaximal, characteristic, complemented
2#21459610C211yesmaximal, characteristic, complemented
3#21458005C211yesmaximal, characteristic, complemented
4#21458002C211yesmaximal, characteristic, complemented
5#21457977C211yesmaximal, characteristic, complemented
6#21457974C211yesmaximal, characteristic, complemented
7#21457935C211yesmaximal, characteristic, complemented
8#21457907C211yesmaximal, characteristic, complemented
9#21457894C211yesmaximal, characteristic, complemented
10#21457889C211yesmaximal, characteristic, complemented
11#21457878C211yesmaximal, characteristic, complemented
12#21457861C211yesmaximal, characteristic, complemented
13#21457850C211yesmaximal, characteristic, complemented
14#21457811C211yesmaximal, characteristic, complemented
15#21457806C211yesmaximal, characteristic, complemented
16#21457783C211yesmaximal, characteristic, complemented
17#21457778C211yesmaximal, characteristic, complemented
18#489×D61C211yesmaximal, characteristic, complemented
19#21455781C211yesmaximal, characteristic, complemented
20#21455776C211yesmaximal, characteristic, complemented
21#21455629C211yesmaximal, characteristic, complemented
22#21455507C211yesmaximal, characteristic, complemented
23#21455492C211yesmaximal, characteristic, complemented
24#21455310C211yesmaximal, characteristic, complemented
25#21455135C211yesmaximal, characteristic, complemented
26#21455127C211yesmaximal, characteristic, complemented
27#21454618C211yesmaximal, characteristic, complemented
28#21454533C211yesmaximal, characteristic, complemented
29#21454347C211yesmaximal, characteristic, complemented
30#21454343C211yesmaximal, characteristic, complemented
31C61×#3316C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic
33C2×#14519823C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519804C2211yescharacteristic
36C2×#14519800C2211yescharacteristic
37C2×#14519785C2211yescharacteristic
38C2×#14519783C2211yescharacteristic, complemented
39#16840483C2211yescharacteristic, complemented
40#16840483C2211yescharacteristic, complemented
41#16840478C2211yescharacteristic, complemented
42#16840477C2211yescharacteristic, complemented
43#16840472C2211yescharacteristic, complemented
44#16840465—21no—
45#16840462—21no—
46#16840424C2211yescharacteristic
47#16840423C2211yescharacteristic
48#16840422—21no—
49#16840422—21no—
50#16840419C2211yescharacteristic
51#16840413C2211yescharacteristic, complemented
52#16840413C2211yescharacteristic, complemented
53#16840409—21no—
54#16840409C2211yescharacteristic
55#16840408—21no—
56#16840408C2211yescharacteristic
57#16840405—21no—
58#16840405C2211yescharacteristic
59#16840403—21no—
60#16840403C2211yescharacteristic
61#16840382—21no—
62#16840382—21no—
63#16840342C2211yescharacteristic
64#16840342C2211yescharacteristic, complemented
65#16840335—21no—
66#16840335C2211yescharacteristic
67#16840328—21no—
68#16840328C2211yescharacteristic
69#16840318—21no—
70#16840309—21no—
71#16840309—21no—
72#16840309C2211yescharacteristic
73C4⋊Q8×D61C2211yescharacteristic, complemented
74#124×D61—21no—
75#124×D61C2211yescharacteristic
76#16840243C2211yescharacteristic
77#16840243C2211yescharacteristic, complemented
78C4×#11758226C2211yescharacteristic
79C4×#11758226C2211yescharacteristic, complemented
80#16840124C2211yescharacteristic, complemented
81#16840123C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic, complemented
83#16840122C2211yescharacteristic, complemented
84#16840121C2211yescharacteristic, complemented
85#16840120C2211yescharacteristic, complemented
86#16840120C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840104C2211yescharacteristic, complemented
89#16840101C2211yescharacteristic, complemented
90#16840100C2211yescharacteristic, complemented
91#16840097C2211yescharacteristic, complemented
92#16840096C2211yescharacteristic, complemented
93#16840094C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840087C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic, complemented
98#16840082C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840055C2211yescharacteristic, complemented
102#16840055C2211yescharacteristic, complemented
103#16840051C2211yescharacteristic, complemented
104#16840051C2211yescharacteristic, complemented
105#16840047C2211yescharacteristic, complemented
106#16840043C2211yescharacteristic, complemented
107#16840039C2211yescharacteristic, 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#16839923C2211yescharacteristic
130#16839923C2211yescharacteristic, complemented
131#16839922C2211yescharacteristic, complemented
132#16839916C2211yescharacteristic, complemented
133#16839912C2211yescharacteristic
134#16839911C2211yescharacteristic
135#16839910C2211yescharacteristic
136#16839910C2211yescharacteristic, complemented
137#16839909C2211yescharacteristic, complemented
138#16839907C2211yescharacteristic
139#16839902C2211yescharacteristic, complemented
140#16839901C2211yescharacteristic, complemented
141#16839898C2211yescharacteristic
142#16839897C2211yescharacteristic
143#16839875C2211yescharacteristic, complemented
144#16839873C2211yescharacteristic, complemented
145#16839869C2211yescharacteristic, complemented
146#16839865C2211yescharacteristic, complemented
147#16839865C2211yescharacteristic, complemented
148#16839860C2211yescharacteristic, complemented
149#16839860C2211yescharacteristic, 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#16839797C2211yescharacteristic, complemented
160#16839784C2211yescharacteristic, complemented
161#16839771C2211yescharacteristic, complemented
162#16839769C2211yescharacteristic, complemented
163#16839769C2211yescharacteristic, complemented
164#16839768C2211yescharacteristic
165#16839765C2211yescharacteristic
166#16839765C2211yescharacteristic
167#16839762C2211yescharacteristic
168#16839762C2211yescharacteristic
169#16839762C2211yescharacteristic
170#16839762C2211yescharacteristic, complemented
171#16839761C2211yescharacteristic, complemented
172#16839759C2211yescharacteristic, complemented
173#16839758C2211yescharacteristic
174#16839757C2211yescharacteristic
175#16839757C2211yescharacteristic
176#16839757C2211yescharacteristic, complemented
177#16839757C2211yescharacteristic, complemented
178#103×D61C2211yescharacteristic, complemented
179#103×D61C2211yescharacteristic, complemented
180#103×D61C2211yescharacteristic, complemented
181C2×#14519697C2211yescharacteristic
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185#16839727C2211yescharacteristic
186#16839727C2211yescharacteristic, complemented
187#97×D61C2211yescharacteristic, complemented
188C61×#554C2211yescharacteristic, complemented
189C61×#548C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic
198C61×#451C2211yescharacteristic, complemented
199C61×#441C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic
202C2×#103×C61C2211yescharacteristic, complemented
203#14519825—24no—
204#14519825—42no—
205#14519823—24no—
206#14519823—42no—
207C2×#11758226—21no—
208C2×#11758226C2311yescharacteristic
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758226C2311yescharacteristic
212C2×#11758222—21no—
213C2×#11758222—21no—
214C2×#11758222—21no—
215C2×#11758222—21no—
216C2×#11758222—21no—
217C2×#11758222C2311yescharacteristic
218C2×#11758222C2311yescharacteristic
219C2×#11758222C2311yescharacteristic
220C2×Q8×D61—21no—
221C2×Q8×D61—21no—
222C2×Q8×D61C2311yescharacteristic
223C2×Q8×D61C2311yescharacteristic
224C22×D244—21no—
225C22×D244C2311yescharacteristic
226C2×D4×D61—21no—
227C2×D4×D61—21no—
228C2×D4×D61C2311yescharacteristic
229C2×D4×D61C2311yescharacteristic
230#14519809—42no—
231#14519804—42no—
232#14519800—24no—
233C2×#11758202C2311yescharacteristic
234C2×#11758190C2311yescharacteristic
235C2×#11758201C2311yescharacteristic
236C2×#11758201C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×#11758201C2311yescharacteristic
239C2×D488C2311yescharacteristic
240C2×D488C2311yescharacteristic
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#14519770—21no—
266#14519770—21no—
267#14519769—21no—
268#14519766—21no—
269#14519766—21no—
270#14519766—21no—
271#14519766C2311yescharacteristic
272#14519765—21no—
273#14519765C2311yescharacteristic
274#14519764—21no—
275#14519764C2311yescharacteristic
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763D411yescharacteristic
285#14519763D411yescharacteristic
286#14519762—21no—
287#14519762—21no—
288#14519762—21no—
289#14519762—21no—
290#14519762—21no—
291#14519760—21no—
292#14519760—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519757—21no—
297#14519757C2311yescharacteristic
298#14519756—21no—
299#14519756C2311yescharacteristic
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519753—21no—
307#14519753C2311yescharacteristic
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519752—21no—
311#14519752—21no—
312#14519752—21no—
313#14519752—21no—
314#14519752—21no—
315#14519752D411yescharacteristic
316#14519752C2311yescharacteristic
317#14519752C2311yescharacteristic
318#14519752C2311yescharacteristic
319#14519751—21no—
320#14519751C2311yescharacteristic
321#14519751C2311yescharacteristic
322#14519751C2311yescharacteristic
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519750D411yescharacteristic
330#14519750D411yescharacteristic
331#14519748—21no—
332#14519748—21no—
333#14519748—21no—
334#14519748D411yescharacteristic
335#14519748C2311yescharacteristic
336#14519747—21no—
337#14519747—21no—
338#14519747—21no—
339#14519745—21no—
340#14519745—21no—
341#14519745—21no—
342Q8×Dic61C2311yescharacteristic
343Q8×Dic61C2311yescharacteristic
344#14519742—21no—
345#14519742—21no—
346#14519742—21no—
347#14519742—21no—
348C4×D244—21no—
349C4×D244—21no—
350C4×D244—21no—
351C4×D244—21no—
352C4×D244C2311yescharacteristic
353C4×D244C2311yescharacteristic
354C4×D244C2311yescharacteristic
355#14519739—21no—
356#14519739—21no—
357#14519739—21no—
358#14519739—21no—
359#14519739C2311yescharacteristic
360#14519739C2311yescharacteristic
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61C2311yescharacteristic
368C4×C22⋊D61C2311yescharacteristic
369#14519736C2311yescharacteristic
370#14519736C2311yescharacteristic
371#14519735—21no—
372#14519735—21no—
373#14519735—21no—
374#14519735—21no—
375#14519735C2311yescharacteristic
376#14519735C2311yescharacteristic
377#14519735C2311yescharacteristic
378#14519735C2311yescharacteristic
379C4⋊C4×D61—21no—
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C4⋊C4×D61C2311yescharacteristic
383C4⋊C4×D61C2311yescharacteristic
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
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×Q8×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#125×C61—21no—
453#124×C61—21no—
454#124×C61C2311yescharacteristic
455C22⋊Q8×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61C2311yescharacteristic
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461#121×C61—21no—
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61—21no—
466C4×D4×C61—21no—
467C4×D4×C61C2311yescharacteristic
468C2×C4⋊C4×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61—21no—
489C23×D61—21no—
490#41×C61—22no—
491#41×C61—41no—
492C2×Q8×C61—21no—
493C2×Q8×C61—21no—
494C2×Q8×C61—22no—
495C2×Q8×C61—41no—
496C2×Q8×C61C2411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61C2×D411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61C2411yescharacteristic
508C22×C4×C61C2411yescharacteristic
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⋊D61C2×D411yescharacteristic
517C2×C22⋊D61C2×D411yescharacteristic
518C2×C22⋊D61C2×D411yescharacteristic
519C2×C22⋊D61C2×D411yescharacteristic
520C2×C22⋊D61C2×D411yescharacteristic
521C2×C22⋊D61C2×D411yescharacteristic
522#11758226—22no—
523#11758226—22no—
524#11758226—22no—
525#11758226—22no—
526#11758226—22no—
527#11758226—41no—
528#11758226—41no—
529#11758226—44no—
530#11758226#4114yescomplemented
531Q8×D61—22no—
532Q8×D61—22no—
533Q8×D61—22no—
534Q8×D61—41no—
535Q8×D61—44no—
536Q8×D61—82no—
537D4×D61—22no—
538D4×D61—22no—
539D4×D61—22no—
540D4×D61—41no—
541D4×D61—44no—
542D4×D61—44no—
543#11758222—22no—
544#11758222—22no—
545#11758222—22no—
546#11758222—22no—
547#11758222—22no—
548#11758222—44no—
549#11758222—41no—
550#11758222—44no—
551#11758222—44no—
552#11758222—82no—
553#11758222—82no—
554C2×D244—21no—
555C2×D244—22no—
556C2×D244—21no—
557C2×D244—21no—
558C2×D244—21no—
559C2×D244—21no—
560C2×D244—21no—
561C2×D244—21no—
562C2×D244—21no—
563C2×D244—41no—
564C2×D244—44no—
565C2×D244C2×D411yescharacteristic
566C2×D244C2×D411yescharacteristic
567C2×D244C2×D411yescharacteristic
568C2×D244C2411yescharacteristic
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×D61—21no—
582C2×C4×D61—21no—
583C2×C4×D61—21no—
584C2×C4×D61—21no—
585C2×C4×D61—21no—
586C2×C4×D61C2×D411yescharacteristic
587C2×C4×D61C2×D411yescharacteristic
588C2×C4×D61C2411yescharacteristic
589C2×C4×D61C2411yescharacteristic
590C2×C4×D61C2411yescharacteristic
591C2×Dic122—21no—
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122—21no—
595C2×Dic122—21no—
596C2×Dic122C2×D411yescharacteristic
597C2×Dic122C2×D411yescharacteristic
598C2×Dic122C2411yescharacteristic
599Q16×C61—22no—
600Q16×C61—41no—
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×C61—21no—
614C4⋊C4×C61—21no—
615C4⋊C4×C61—21no—
616C4⋊C4×C61C2×D411yescharacteristic
617C4⋊C4×C61C2411yescharacteristic
618C4⋊C4×C61C2411yescharacteristic
619C4⋊C4×C61C2411yescharacteristic
620C4⋊C4×C61C2411yescharacteristic
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×C61C2411yescharacteristic
632C22⋊Dic61—21no—
633C22⋊Dic61—21no—
634C22⋊Dic61—21no—
635C22⋊Dic61—21no—
636C22⋊Dic61—21no—
637C22⋊Dic61—21no—
638C22⋊Dic61C2×D411yescharacteristic
639C22⋊Dic61C2×D411yescharacteristic
640#11758202—41no—
641#11758201—22no—
642#11758201—22no—
643#11758201—41no—
644#11758201—41no—
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#11758198—21no—
667#11758198—21no—
668#11758198C2×D411yescharacteristic
669#11758198C2×D411yescharacteristic
670#11758198C2×D411yescharacteristic
671#11758198C2×D411yescharacteristic
672C4⋊Dic61—21no—
673C4⋊Dic61—21no—
674C4⋊Dic61—21no—
675C4⋊Dic61—21no—
676C4⋊Dic61C2×D411yescharacteristic
677C4⋊Dic61C2411yescharacteristic
678C4⋊Dic61C2411yescharacteristic
679C4⋊Dic61C2411yescharacteristic
680C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
692#11758196C2×D411yescharacteristic
693C4×Dic61—21no—
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—22no—
711D488—41no—
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×C61C22×D411yescharacteristic
723C23×C61C22×D411yescharacteristic
724C22×D61—21no—
725C22×D61—21no—
726C22×D61—21no—
727C22×D61—42no—
728C22×D61—42no—
729C22×D61—42no—
730C22×D61—81no—
731C22×D61—81no—
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—21no—
744Q8×C61—42no—
745Q8×C61—81no—
746Q8×C61C2×#4112yes—
747D4×C61—21no—
748D4×C61—21no—
749D4×C61—41no—
750D4×C61—42no—
751D4×C61—81no—
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—21no—
763C2×C4×C61—42no—
764C2×C4×C61—42no—
765C2×C4×C61—81no—
766C2×C4×C61—81no—
767C2×C4×C61C22×D411yescharacteristic
768C2×C4×C61C22×D411yescharacteristic
769C2×C4×C61C22×D411yescharacteristic
770C2×C4×C61C22×D411yescharacteristic
771C2×C4×C61C2511yescharacteristic
772C22⋊D61—22no—
773C22⋊D61—22no—
774C22⋊D61—22no—
775C22⋊D61—22no—
776C22⋊D61—41no—
777C22⋊D61—41no—
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—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793C2×Dic61C22×D411yescharacteristic
794C2×Dic61C22×D411yescharacteristic
795D244—24no—
796D244—22no—
797D244—22no—
798D244—21no—
799D244—21no—
800D244—21no—
801D244—21no—
802D244—21no—
803D244—41no—
804D244—42no—
805D244—42no—
806D244—42no—
807D244—42no—
808D244—81no—
809D244—81no—
810D244—81no—
811D244C2×#4112yes—
812C4×D61—21no—
813C4×D61—21no—
814C4×D61—21no—
815C4×D61—21no—
816C4×D61—24no—
817C4×D61—41no—
818C4×D61—41no—
819C4×D61—42no—
820C4×D61—42no—
821C4×D61—42no—
822C4×D61—42no—
823C4×D61—42no—
824C4×D61—42no—
825C4×D61—42no—
826C4×D61—42no—
827C4×D61—81no—
828C4×D61—81no—
829C4×D61—81no—
830C4×D61—81no—
831C4×D61—81no—
832C4×D61—81no—
833C4×D61C2×#4112yes—
834C4×D61H(5,𝔽2)12yes—
835Dic122—22no—
836Dic122—22no—
837Dic122—21no—
838Dic122—21no—
839Dic122—42no—
840Dic122—42no—
841Dic122—42no—
842Dic122—42no—
843Dic122—81no—
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—21no—
858C22×C61—21no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61C23×D411yescharacteristic
863C2×D61—21no—
864C2×D61—21no—
865C2×D61—21no—
866C2×D61—21no—
867C2×D61—21no—
868C2×D61—21no—
869C2×D61—22no—
870C2×D61—21no—
871C2×D61—21no—
872C2×D61—41no—
873C2×D61—41no—
874C2×D61—41no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—162no—
881C2×D61—162no—
882C2×D61—162no—
883C2×D61#54612yes—
884C4×C61—21no—
885C4×C61—21no—
886C4×C61—21no—
887C4×C61—21no—
888C4×C61—22no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61—41no—
895C4×C61C22×#4111yescharacteristic
896C4×C61C2×H(5,𝔽2)11yescharacteristic
897Dic61—21no—
898Dic61—21no—
899Dic61—21no—
900Dic61—21no—
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#3316D6111yescharacteristic, complemented
915#3314—611no—
916#3314—611no—
917#3313—611no—
918#3313—611no—
919#3311—611no—
920#3311—611no—
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—41no—
939C2×C61—41no—
940C2×C61—81no—
941C2×C61C2×#54611yescharacteristic
942C2×C61#358511yescharacteristic
943C2×C61#358611yescharacteristic
944D61—22no—
945D61—41no—
946D61—41no—
947D61—42no—
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#556—611no—
959#555—611no—
960#555—611no—
961#554—611no—
962#554C2×D6111yescharacteristic, complemented
963#553—1221no—
964#553—1221no—
965#548—611no—
966#548—611no—
967#548—611no—
968#548—1221no—
969#548—1221no—
970#548C2×D6111yescharacteristic
971#547—611no—
972#547—611no—
973#546—611no—
974#546—611no—
975#546—611no—
976#546—611no—
977#546—1221no—
978#546—1221no—
979#546—1221no—
980#546—1221no—
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#485—611no—
1012#484—611no—
1013#484—611no—
1014#483—611no—
1015#483C2×D6111yescharacteristic, complemented
1016#482—611no—
1017#482—611no—
1018#482—611no—
1019#482—611no—
1020#481—611no—
1021#481C2×D6111yescharacteristic, complemented
1022#480—611no—
1023#480—611no—
1024#477—611no—
1025#477—611no—
1026#476—611no—
1027#476—611no—
1028#475—611no—
1029#475C2×D6111yescharacteristic, complemented
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
1060#451—611no—
1061#451C2×D6111yescharacteristic, complemented
1062#450—611no—
1063#450—611no—
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#441C2×D6111yescharacteristic, complemented
1076#440—611no—
1077#440—611no—
1078#440—611no—
1079#440—611no—
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#418—611no—
1098#417—611no—
1099#417—611no—
1100#417—611no—
1101#417—611no—
1102#417—611no—
1103#417C2×D6111yescharacteristic
1104#416—611no—
1105#416—611no—
1106#416—611no—
1107#416—611no—
1108#416—611no—
1109#416—611no—
1110C2×#103—611no—
1111C2×#103—611no—
1112C2×#103—611no—
1113C2×#103C2×D6111yescharacteristic, complemented
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—1221no—
1143C22×Q8—1221no—
1144C22×Q8C22×D6111yescharacteristic
1145C22×D4—611no—
1146C22×D4—611no—
1147C22×D4—611no—
1148C22×D4—1221no—
1149C22×D4—1221no—
1150C22×D4—1221no—
1151#137—2442no—
1152AGL(1,ℤ/8)—2442no—
1153#135—1224no—
1154C2×Q16—611no—
1155C2×Q16C22×D6111yescharacteristic
1156C2×Q16C22×D6111yescharacteristic
1157C2×SD16—611no—
1158C2×SD16—611no—
1159C2×SD16—611no—
1160C2×SD16—611no—
1161C2×SD16—611no—
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—1221no—
1191#126—1221no—
1192#126—1221no—
1193#126—1221no—
1194#125—21no—
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—1221no—
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—21no—
1227C22⋊Q8—21no—
1228C22⋊Q8—21no—
1229C22⋊Q8—611no—
1230C22⋊Q8—611no—
1231C22⋊Q8—611no—
1232C22⋊Q8—611no—
1233C22⋊Q8—611no—
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—1221no—
1275#120—1221no—
1276#120—1221no—
1277#120—1221no—
1278#120—1221no—
1279#120—1221no—
1280C4×Q8—611no—
1281C4×Q8—611no—
1282C4×Q8—1221no—
1283C4×Q8—1221no—
1284C4×Q8—1221no—
1285C4×Q8—1221no—
1286C4×Q8C22×D6111yescharacteristic
1287C4×Q8C22×D6111yescharacteristic
1288C4×D4—21no—
1289C4×D4—21no—
1290C4×D4—611no—
1291C4×D4—611no—
1292C4×D4—611no—
1293C4×D4—611no—
1294C4×D4—611no—
1295C4×D4—611no—
1296C4×D4—611no—
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×D4—1221no—
1311C4×D4C22×D6111yescharacteristic
1312#117—611no—
1313#117—611no—
1314#117—611no—
1315#117—611no—
1316#117—611no—
1317#117—611no—
1318#117—1221no—
1319#117—1221no—
1320#117—1221no—
1321#117—1221no—
1322C2×C4⋊C4—611no—
1323C2×C4⋊C4—611no—
1324C2×C4⋊C4—611no—
1325C2×C4⋊C4—611no—
1326C2×C4⋊C4—1221no—
1327C2×C4⋊C4C22×D6111yescharacteristic
1328C2×C4⋊C4C22×D6111yescharacteristic
1329C2×C22⋊C4—1221no—
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#107—611no—
1344#106—611no—
1345#106—611no—
1346#106—611no—
1347#106C22×D6111yescharacteristic
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#103C22×D6111yescharacteristic
1368#103C22×D6111yescharacteristic
1369#103C22×D6111yescharacteristic
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#102—611no—
1389#102—611no—
1390#102—611no—
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—1221no—
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—2444no—
1427#41—2444no—
1428#41—2441no—
1429#41—2441no—
1430#41—2444no—
1431C2×Q8—21no—
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—41no—
1435C2×Q8—611no—
1436C2×Q8—611no—
1437C2×Q8—611no—
1438C2×Q8—1221no—
1439C2×Q8—1221no—
1440C2×Q8—1221no—
1441C2×Q8—1221no—
1442C2×Q8—1222no—
1443C2×Q8—1222no—
1444C2×Q8—1221no—
1445C2×Q8—1222no—
1446C2×Q8—4882no—
1447C2×Q8—2441no—
1448C2×Q8—2444no—
1449C2×Q8C23×D6111yescharacteristic
1450C2×Q8C23×D6111yescharacteristic
1451C2×Q8C23×D6111yescharacteristic
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—611no—
1455C2×D4—611no—
1456C2×D4—611no—
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—1222no—
1467C2×D4—1221no—
1468C2×D4—1221no—
1469C2×D4—1221no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1221no—
1473C2×D4—1221no—
1474C2×D4—1222no—
1475C2×D4—1222no—
1476C2×D4—1221no—
1477C2×D4—1221no—
1478C2×D4—1222no—
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—2441no—
1488C2×D4—2444no—
1489C2×D4—2444no—
1490C2×D4D4×D6111yescharacteristic
1491C2×D4C23×D6111yescharacteristic
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—611no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—611no—
1500C22×C4—611no—
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—22no—
1519Q16—41no—
1520Q16—2441no—
1521SD16—41no—
1522SD16—1222no—
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—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—611no—
1559C4⋊C4—611no—
1560C4⋊C4—611no—
1561C4⋊C4—611no—
1562C4⋊C4—611no—
1563C4⋊C4—611no—
1564C4⋊C4—611no—
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—611no—
1591C22⋊C4—611no—
1592C22⋊C4—611no—
1593C22⋊C4—611no—
1594C22⋊C4—611no—
1595C22⋊C4—611no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
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—611no—
1629C42—611no—
1630C42—611no—
1631C42—1221no—
1632C42—1221no—
1633C42—1221no—
1634C42—1221no—
1635C42—1221no—
1636C42—1221no—
1637C42—1221no—
1638C42—1221no—
1639C42C23×D6111yescharacteristic
1640C23—21no—
1641C23—611no—
1642C23—611no—
1643C23—611no—
1644C23—1221no—
1645C23—1221no—
1646C23—1221no—
1647C23—4881no—
1648C23—4881no—
1649C23—4881no—
1650C23—4881no—
1651C23—4881no—
1652C23—4881no—
1653C23—2442no—
1654C23—2442no—
1655C23—2442no—
1656C23C2×D4×D6111yescharacteristic
1657C23C2×D4×D6111yescharacteristic
1658Q8—21no—
1659Q8—21no—
1660Q8—21no—
1661Q8—21no—
1662Q8—21no—
1663Q8—42no—
1664Q8—81no—
1665Q8—1222no—
1666Q8—1222no—
1667Q8—1221no—
1668Q8—1221no—
1669Q8—4881no—
1670Q8—2442no—
1671Q8—2442no—
1672Q8—2442no—
1673Q8—2442no—
1674Q8#41×D6112yes—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—81no—
1680D4—612no—
1681D4—1222no—
1682D4—1222no—
1683D4—1224no—
1684D4—1222no—
1685D4—1222no—
1686D4—1222no—
1687D4—1222no—
1688D4—1221no—
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—2442no—
1704D4—2442no—
1705D4—2442no—
1706D4—2441no—
1707D4—2441no—
1708D4—2442no—
1709D4—2442no—
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—21no—
1721C2×C4—42no—
1722C2×C4—42no—
1723C2×C4—81no—
1724C2×C4—81no—
1725C2×C4—611no—
1726C2×C4—612no—
1727C2×C4—612no—
1728C2×C4—611no—
1729C2×C4—611no—
1730C2×C4—611no—
1731C2×C4—611no—
1732C2×C4—1224no—
1733C2×C4—1221no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—4881no—
1743C2×C4—4881no—
1744C2×C4—4881no—
1745C2×C4—4881no—
1746C2×C4—4881no—
1747C2×C4—4881no—
1748C2×C4—2441no—
1749C2×C4—2441no—
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—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—612no—
1781C22—1221no—
1782C22—1221no—
1783C22—1222no—
1784C22—1221no—
1785C22—1221no—
1786C22—1221no—
1787C22—1221no—
1788C22—1221no—
1789C22—1221no—
1790C22—9762no—
1791C22—9762no—
1792C22—9762no—
1793C22—2441no—
1794C22—2441no—
1795C22—2441no—
1796C22—2441no—
1797C22—2441no—
1798C22—2441no—
1799C22—2441no—
1800C22—2441no—
1801C22C22×D4×D6111yescharacteristic
1802C4—21no—
1803C4—21no—
1804C4—22no—
1805C4—21no—
1806C4—21no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—612no—
1814C4—1221no—
1815C4—1221no—
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—81no—
1828C2—1222no—
1829C2—4881no—
1830C2—4881no—
1831C2—2441no—
1832C2—2441no—
1833C2—2442no—
1834C2#546×D6111yescharacteristic
1835C2#2146059711yescharacteristic
1836C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3316C2
socleC22×C61C23×D4
hypercenter#3316D61
hypocenterC61#61222
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #21459727C2semidirect
2. #21459610C2semidirect
3. #21458005C2semidirect
4. #21458002C2semidirect
5. #21457977C2semidirect
6. #21457974C2semidirect
7. #21457935C2semidirect
8. #21457907C2semidirect
9. #21457894C2semidirect
10. #21457889C2semidirect
11. #21457878C2semidirect
12. #21457861C2semidirect
13. #21457850C2semidirect
14. #21457811C2semidirect
15. #21457806C2semidirect
16. #21457783C2semidirect
17. #21457778C2semidirect
18. #489×D61C2semidirect
19. #21455781C2semidirect
20. #21455776C2semidirect
21. #21455629C2semidirect
22. #21455507C2semidirect
23. #21455492C2semidirect
24. #21455310C2semidirect
25. #21455135C2semidirect
26. #21455127C2semidirect
27. #21454618C2semidirect
28. #21454533C2semidirect
29. #21454347C2semidirect
30. #21454343C2semidirect
31. C61×#3316C2semidirect
34. C2×#14519809C22semidirect
38. C2×#14519783C22semidirect
39. #16840483C22semidirect
40. #16840483C22semidirect
41. #16840478C22semidirect
42. #16840477C22semidirect
43. #16840472C22semidirect
51. #16840413C22semidirect
52. #16840413C22semidirect
64. #16840342C22semidirect
73. C4⋊Q8×D61C22semidirect
77. #16840243C22semidirect
79. C4×#11758226C22semidirect
80. #16840124C22semidirect
81. #16840123C22semidirect
82. #16840123C22semidirect
83. #16840122C22semidirect
84. #16840121C22semidirect
85. #16840120C22semidirect
86. #16840120C22semidirect
87. #16840106C22semidirect
88. #16840104C22semidirect
89. #16840101C22semidirect
90. #16840100C22semidirect
91. #16840097C22semidirect
92. #16840096C22semidirect
93. #16840094C22semidirect
94. #16840088C22semidirect
95. #16840087C22semidirect
96. #16840085C22semidirect
97. #16840083C22semidirect
98. #16840082C22semidirect
99. #16840075C22semidirect
100. #16840074C22semidirect
101. #16840055C22semidirect
102. #16840055C22semidirect
103. #16840051C22semidirect
104. #16840051C22semidirect
105. #16840047C22semidirect
106. #16840043C22semidirect
107. #16840039C22semidirect
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
130. #16839923C22semidirect
131. #16839922C22semidirect
132. #16839916C22semidirect
136. #16839910C22semidirect
137. #16839909C22semidirect
139. #16839902C22semidirect
140. #16839901C22semidirect
143. #16839875C22semidirect
144. #16839873C22semidirect
145. #16839869C22semidirect
146. #16839865C22semidirect
147. #16839865C22semidirect
148. #16839860C22semidirect
149. #16839860C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
157. #16839801C22semidirect
158. #16839801C22semidirect
159. #16839797C22semidirect
160. #16839784C22semidirect
161. #16839771C22semidirect
162. #16839769C22semidirect
163. #16839769C22semidirect
170. #16839762C22semidirect
171. #16839761C22semidirect
172. #16839759C22semidirect
176. #16839757C22semidirect
177. #16839757C22semidirect
178. #103×D61C22semidirect
179. #103×D61C22semidirect
180. #103×D61C22semidirect
186. #16839727C22semidirect
187. #97×D61C22semidirect
188. C61×#554C22semidirect
190. C61×#489C22semidirect
191. C61×#483C22semidirect
192. C61×#481C22semidirect
193. C61×#475C22semidirect
194. C61×#470C22semidirect
195. C61×#465C22semidirect
196. C61×#464C22semidirect
198. C61×#451C22semidirect
199. C61×#441C22semidirect
200. C61×#435C22semidirect
202. C2×#103×C61C22semidirect
530. #11758226#41semidirect
914. #3316D61semidirect
962. #554C2×D61semidirect
1007. #489C2×D61semidirect
1015. #483C2×D61semidirect
1021. #481C2×D61semidirect
1029. #475C2×D61semidirect
1033. #470C2×D61semidirect
1047. #465C2×D61semidirect
1051. #464C2×D61semidirect
1061. #451C2×D61semidirect
1075. #441C2×D61semidirect
1087. #435C2×D61semidirect
1113. C2×#103C2×D61semidirect
1121. C61#61222semidirect

Maximal subgroups

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

subgroupindex
#214597272
#214596102
#214580052
#214580022
#214579772
#214579742
#214579352
#214579072
#214578942
#214578892
#214578782
#214578612
#214578502
#214578112
#214578062
#214577832
#214577782
#489×D612
#214557812
#214557762
#214556292
#214555072
#214554922
#214553102
#214551352
#214551272
#214546182
#214545332
#214543472
#214543432
C61×#33162
#6122261