Finite Group Databasebeta

← #30555826

Subgroups — #30555826

Order 15616.

2672 conjugacy classes of subgroups.

The subgroup lattice has 2002 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840578C211yesmaximal, characteristic, complemented
2C22×#14519806C211yesmaximal, characteristic, complemented
3#21459490C211yesmaximal, characteristic, complemented
4#21459469C211yesmaximal, characteristic, complemented
5#21457568C211yesmaximal, characteristic, complemented
6D4×#11758202C211yesmaximal, characteristic, complemented
7#21457526C211yesmaximal, characteristic, complemented
8#21457522C211yesmaximal, characteristic, complemented
9#21457473C211yesmaximal, characteristic, complemented
10#21457471C211yesmaximal, characteristic, complemented
11#21457468C211yesmaximal, characteristic, complemented
12#21457459C211yesmaximal, characteristic, complemented
13#21457394C211yesmaximal, characteristic, complemented
14#21457393C211yesmaximal, characteristic, complemented
15#21457388C211yesmaximal, characteristic, complemented
16#21457382C211yesmaximal, characteristic, complemented
17#21457378C211yesmaximal, characteristic, complemented
18#21457376C211yesmaximal, characteristic, complemented
19#21457333C211yesmaximal, characteristic, complemented
20#21456311C211yesmaximal, characteristic, complemented
21#21455505C211yesmaximal, characteristic, complemented
22#21455446C211yesmaximal, characteristic, complemented
23#21455364C211yesmaximal, characteristic, complemented
24#21455347C211yesmaximal, characteristic, complemented
25#21455129C211yesmaximal, characteristic, complemented
26#21455111C211yesmaximal, characteristic, complemented
27#21455038C211yesmaximal, characteristic, complemented
28#451×D61C211yesmaximal, characteristic, complemented
29#21454659C211yesmaximal, characteristic, complemented
30#21454545C211yesmaximal, characteristic, complemented
31C61×#3266C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic, complemented
33C2×#14519824C2211yescharacteristic
34C22×#11758224C2211yescharacteristic
35C22×Q8×D61C2211yescharacteristic
36#16840578—28no—
37C2×#14519810C2211yescharacteristic, complemented
38C2×#14519809C2211yescharacteristic, complemented
39C2×#14519809C2211yescharacteristic, complemented
40C2×#14519806—28no—
41C2×#14519806C2211yescharacteristic
42C2×#14519806C2211yescharacteristic
43C2×#14519806C2211yescharacteristic
44C2×#14519806C2211yescharacteristic
45C2×#14519806C2211yescharacteristic
46C2×#14519806C2211yescharacteristic
47C2×#14519806C2211yescharacteristic
48C2×#14519806C2211yescharacteristic
49C2×#14519806C2211yescharacteristic, complemented
50C2×#14519798C2211yescharacteristic
51C2×#14519798C2211yescharacteristic
52C2×#14519798C2211yescharacteristic, complemented
53C2×#14519797C2211yescharacteristic, complemented
54C22×Dic244C2211yescharacteristic
55C22×#11758202C2211yescharacteristic
56C22×#11758202C2211yescharacteristic, complemented
57C2×Q16×D61C2211yescharacteristic, complemented
58C2×Q16×D61C2211yescharacteristic, complemented
59C2×Q16×D61C2211yescharacteristic, complemented
60C22×#11758200C2211yescharacteristic
61C2×#14519785C2211yescharacteristic, complemented
62C22×#11758189C2211yescharacteristic
63D4×Dic122C2211yescharacteristic
64#16840427—21no—
65#16840427C2211yescharacteristic, complemented
66Q8×C22⋊D61C2211yescharacteristic, complemented
67#16840425—21no—
68#16840425C2211yescharacteristic
69#16840425C2211yescharacteristic
70#16840424C2211yescharacteristic, complemented
71#16840423C2211yescharacteristic
72#16840422—21no—
73#16840422C2211yescharacteristic, complemented
74#16840421—21no—
75#16840421C2211yescharacteristic
76#16840420C2211yescharacteristic
77#16840418C2211yescharacteristic
78#16840416C2211yescharacteristic
79#16840412—21no—
80#16840411C2211yescharacteristic
81#16840410—21no—
82#16840406C2211yescharacteristic
83#16840402—21no—
84#16840399—21no—
85#16840341C2211yescharacteristic
86#16840339—21no—
87#16840337—21no—
88#16840337C2211yescharacteristic, complemented
89#16840335—21no—
90#16840335C2211yescharacteristic, complemented
91#16840334—21no—
92#16840332C2211yescharacteristic
93#16840275—21no—
94#16840275C2211yescharacteristic
95#16840271—21no—
96#16840271C2211yescharacteristic
97#16840268—21no—
98C2×#14519754—21no—
99C22⋊Q8×D61C2211yescharacteristic
100#16840241C2211yescharacteristic
101#16840238C2211yescharacteristic, complemented
102#16840156C2211yescharacteristic, complemented
103#16840155C2211yescharacteristic, complemented
104#16840153C2211yescharacteristic, complemented
105#16840144C2211yescharacteristic, complemented
106#16840143C2211yescharacteristic, complemented
107#16840141C2211yescharacteristic, complemented
108#16840140C2211yescharacteristic, complemented
109#16840020C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840019C2211yescharacteristic, complemented
112#16840017C2211yescharacteristic, complemented
113#16840011C2211yescharacteristic, complemented
114#16840009C2211yescharacteristic, complemented
115#16840007C2211yescharacteristic, complemented
116#16840004C2211yescharacteristic, complemented
117#16840001C2211yescharacteristic
118#16840001C2211yescharacteristic, complemented
119#16839993C2211yescharacteristic
120#16839991C2211yescharacteristic
121#16839989C2211yescharacteristic, complemented
122#16839988C2211yescharacteristic, complemented
123#16839987C2211yescharacteristic, complemented
124#16839985C2211yescharacteristic, complemented
125#16839983C2211yescharacteristic, complemented
126#16839982C2211yescharacteristic, complemented
127#16839981C2211yescharacteristic, complemented
128#16839979C2211yescharacteristic, complemented
129#16839977C2211yescharacteristic, complemented
130#16839973C2211yescharacteristic, complemented
131#16839972C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839971C2211yescharacteristic, complemented
134#16839970C2211yescharacteristic, complemented
135#16839969C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic, complemented
137#16839927C2211yescharacteristic, complemented
138#16839926C2211yescharacteristic, complemented
139#16839925C2211yescharacteristic, complemented
140#16839924C2211yescharacteristic, complemented
141#16839921C2211yescharacteristic
142#16839921C2211yescharacteristic
143#16839921C2211yescharacteristic, complemented
144#16839920C2211yescharacteristic
145#16839920C2211yescharacteristic, complemented
146#16839919C2211yescharacteristic, complemented
147#16839919C2211yescharacteristic, complemented
148#16839919C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic, complemented
150#16839918C2211yescharacteristic
151#16839918C2211yescharacteristic, complemented
152#16839917C2211yescharacteristic
153#16839917C2211yescharacteristic
154#16839917C2211yescharacteristic, complemented
155#16839916C2211yescharacteristic, complemented
156#16839916C2211yescharacteristic, complemented
157#16839916C2211yescharacteristic, complemented
158#16839908C2211yescharacteristic
159#16839908C2211yescharacteristic
160#16839906C2211yescharacteristic, complemented
161#16839905C2211yescharacteristic, complemented
162#16839903C2211yescharacteristic
163#16839899C2211yescharacteristic, complemented
164#16839896C2211yescharacteristic
165#16839870C2211yescharacteristic, complemented
166#16839866C2211yescharacteristic, complemented
167#16839859C2211yescharacteristic, complemented
168#16839856C2211yescharacteristic, complemented
169C4×#11758202C2211yescharacteristic, complemented
170SD16×Dic61C2211yescharacteristic, complemented
171C4×#11758200C2211yescharacteristic, complemented
172#16839839C2211yescharacteristic, complemented
173#16839838C2211yescharacteristic, complemented
174#16839835C2211yescharacteristic, complemented
175#16839830C2211yescharacteristic
176#16839830C2211yescharacteristic, complemented
177D4×#92418C2211yescharacteristic
178C8×C22⋊D61C2211yescharacteristic
179#16839803C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839769C2211yescharacteristic, complemented
182#16839762C2211yescharacteristic, complemented
183#16839755C2211yescharacteristic
184#16839755C2211yescharacteristic
185#103×D61C2211yescharacteristic, complemented
186#103×D61C2211yescharacteristic, complemented
187#16839727C2211yescharacteristic, complemented
188C22⋊C8×D61C2211yescharacteristic
189#16839719C2211yescharacteristic, complemented
190C2×#137×C61C2211yescharacteristic, complemented
191C22×SD16×C61C2211yescharacteristic
192D4×Q8×C61C2211yescharacteristic
193C61×#546C2211yescharacteristic
194C61×#497C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#467C2211yescharacteristic
197C61×#464C2211yescharacteristic, complemented
198C61×#461C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#451C2211yescharacteristic
201C61×#450C2211yescharacteristic
202C61×#448C2211yescharacteristic, complemented
203C61×#440C2211yescharacteristic, complemented
204C61×#435C2211yescharacteristic
205#14519825—24no—
206#14519825—42no—
207#14519824—24no—
208#14519824—42no—
209C2×#11758226—21no—
210C2×#11758226C2311yescharacteristic
211C2×#11758226C2311yescharacteristic
212C2×#11758222—21no—
213C2×#11758222—21no—
214C2×#11758222—21no—
215C2×#11758222C2311yescharacteristic
216C2×#11758222C2311yescharacteristic
217C2×#11758224—24no—
218C2×#11758224—21no—
219C2×#11758224—21no—
220C2×#11758224—21no—
221C2×#11758224—21no—
222C2×#11758224—42no—
223C2×#11758224C2311yescharacteristic
224C2×#11758224C2311yescharacteristic
225C2×#11758224C2311yescharacteristic
226C2×#11758224C2311yescharacteristic
227C2×#11758224C2311yescharacteristic
228C22×Dic122—21no—
229C22×Dic122—21no—
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C2×Q8×D61—21no—
234C2×Q8×D61—21no—
235C2×Q8×D61—21no—
236C2×Q8×D61—24no—
237C2×Q8×D61—42no—
238C2×Q8×D61C2311yescharacteristic
239C2×Q8×D61C2311yescharacteristic
240C2×Q8×D61C2311yescharacteristic
241C2×Q8×D61C2311yescharacteristic
242C2×Q8×D61C2311yescharacteristic
243C2×Q8×D61C2311yescharacteristic
244C2×Q8×D61C2311yescharacteristic
245C22×C22⋊D61—21no—
246C23×Dic61—21no—
247C22×C4×D61—21no—
248C22×C4×D61C2311yescharacteristic
249#14519810—24no—
250#14519809—24no—
251#14519809—24no—
252#14519806—24no—
253#14519806—24no—
254#14519806—24no—
255#14519806—24no—
256#14519806—24no—
257#14519806—24no—
258#14519806—24no—
259#14519806—24no—
260#14519806D418yescomplemented
261#14519798—24no—
262#14519798—24no—
263#14519798—42no—
264#14519797—24no—
265C2×Dic244—24no—
266C2×Dic244C2311yescharacteristic
267C2×Dic244C2311yescharacteristic
268C2×Dic244C2311yescharacteristic
269C2×Dic244C2311yescharacteristic
270C2×Dic244C2311yescharacteristic
271C2×Dic244C2311yescharacteristic
272C2×#11758202—24no—
273C2×#11758202—24no—
274C2×#11758202C2311yescharacteristic
275C2×#11758202C2311yescharacteristic
276C2×#11758202C2311yescharacteristic
277C2×#11758202C2311yescharacteristic
278C2×#11758202C2311yescharacteristic
279C2×#11758202C2311yescharacteristic
280C2×#11758202C2311yescharacteristic
281C2×#11758202C2311yescharacteristic
282C2×#11758202C2311yescharacteristic
283C2×#11758202C2311yescharacteristic
284C2×#11758202C2311yescharacteristic
285Q16×D61—24no—
286Q16×D61—24no—
287Q16×D61—42no—
288C2×#11758190C2311yescharacteristic
289C2×#11758190C2311yescharacteristic
290C2×#11758190C2311yescharacteristic
291C2×#11758200—24no—
292C2×#11758200C2311yescharacteristic
293C2×#11758200C2311yescharacteristic
294C2×#11758200C2311yescharacteristic
295C2×#11758200C2311yescharacteristic
296C2×#11758201C2311yescharacteristic
297C2×#11758199C2311yescharacteristic
298C2×#11758199C2311yescharacteristic
299#14519785—24no—
300C2×#11758189—24no—
301C2×#11758189C2311yescharacteristic
302C2×#11758189C2311yescharacteristic
303C2×#11758189C2311yescharacteristic
304C2×#11758189C2311yescharacteristic
305C2×#11758189C2311yescharacteristic
306C22×#92418C2311yescharacteristic
307C22×#92418C2311yescharacteristic
308C2×C8×D61C2311yescharacteristic
309C2×C8×D61C2311yescharacteristic
310C2×C8×D61C2311yescharacteristic
311#14519777C2311yescharacteristic
312#14519776—21no—
313#14519776—21no—
314#14519776—21no—
315#14519776—21no—
316#14519776—21no—
317#14519775—21no—
318#14519775C2311yescharacteristic
319#14519775C2311yescharacteristic
320#14519766—21no—
321#14519766C2311yescharacteristic
322#14519765—21no—
323#14519765C2311yescharacteristic
324#14519764C2311yescharacteristic
325#14519763—21no—
326#14519763—21no—
327#14519763—21no—
328#14519763—21no—
329#14519763—21no—
330#14519762—21no—
331#14519762—21no—
332#14519762—21no—
333#14519762—21no—
334#14519762D411yescharacteristic
335#14519761—21no—
336#14519761—21no—
337#14519760—21no—
338#14519759—21no—
339#14519759—21no—
340#14519759—21no—
341#14519759D411yescharacteristic
342#14519758—21no—
343#14519758—21no—
344#14519757—21no—
345#14519757C2311yescharacteristic
346#14519757C2311yescharacteristic
347#14519757C2311yescharacteristic
348#14519756—21no—
349#14519756C2311yescharacteristic
350#14519756C2311yescharacteristic
351#14519756C2311yescharacteristic
352#14519755—21no—
353#14519755—21no—
354#14519755—21no—
355#14519755—21no—
356#14519755—21no—
357#14519755—21no—
358#14519755—21no—
359#14519755—21no—
360#14519755—21no—
361#14519755D411yescharacteristic
362#14519754—21no—
363#14519754—21no—
364#14519754—21no—
365#14519754—21no—
366#14519754—21no—
367#14519754—21no—
368#14519754—21no—
369#14519754—21no—
370#14519754—21no—
371#14519754—21no—
372#14519754D411yescharacteristic
373#14519753—21no—
374#14519753—21no—
375#14519753C2311yescharacteristic
376#14519753C2311yescharacteristic
377#14519753C2311yescharacteristic
378#14519752—21no—
379#14519752C2311yescharacteristic
380#14519751—21no—
381#14519751—21no—
382#14519751C2311yescharacteristic
383#14519750—21no—
384#14519750—21no—
385#14519750—21no—
386#14519750D411yescharacteristic
387#14519749—21no—
388#14519749—21no—
389#14519749—21no—
390#14519749—21no—
391#14519749—21no—
392#14519749D411yescharacteristic
393#14519748—21no—
394#14519748C2311yescharacteristic
395#14519747—21no—
396#14519747D411yescharacteristic
397#14519746—21no—
398#14519745D411yescharacteristic
399Q8×Dic61C2311yescharacteristic
400C4×Dic122—21no—
401C4×Dic122C2311yescharacteristic
402C4×Dic122C2311yescharacteristic
403#14519742—21no—
404#14519742C2311yescharacteristic
405#14519742C2311yescharacteristic
406C4×D244—21no—
407C4×D244C2311yescharacteristic
408D4×Dic61—21no—
409D4×Dic61—21no—
410D4×Dic61C2311yescharacteristic
411#14519739—21no—
412#14519739—21no—
413#14519739—21no—
414C4×C22⋊D61—21no—
415C4×C22⋊D61—21no—
416C4×C22⋊D61—21no—
417C4×C22⋊D61C2311yescharacteristic
418C4×C22⋊D61C2311yescharacteristic
419#14519737—21no—
420#14519737—21no—
421#14519737—21no—
422#14519737—21no—
423#14519737—21no—
424#14519737—21no—
425#14519735—21no—
426#14519735C2311yescharacteristic
427#14519734—21no—
428#14519734C2311yescharacteristic
429#14519733—21no—
430C2×C4⋊Dic61—21no—
431C2×#11758196—21no—
432C2×#11758196—21no—
433C4⋊C4×D61—21no—
434C4⋊C4×D61C2311yescharacteristic
435C2×C22⋊Dic61—21no—
436C22⋊C4×D61—21no—
437#14519710C2311yescharacteristic
438#14519709C2311yescharacteristic
439#14519708C2311yescharacteristic
440C4⋊#92418C2311yescharacteristic
441#14519706C2311yescharacteristic
442#14519706C2311yescharacteristic
443#14519702C2311yescharacteristic
444#14519702C2311yescharacteristic
445#14519702C2311yescharacteristic
446#14519702C2311yescharacteristic
447#14519702C2311yescharacteristic
448#14519701C2311yescharacteristic
449#14519701C2311yescharacteristic
450#14519701C2311yescharacteristic
451#14519701C2311yescharacteristic
452#14519700C2311yescharacteristic
453#14519700C2311yescharacteristic
454#14519700C2311yescharacteristic
455#14519700C2311yescharacteristic
456#14519700C2311yescharacteristic
457#14519699C2311yescharacteristic
458#14519698C2311yescharacteristic
459#14519698C2311yescharacteristic
460#14519697C2311yescharacteristic
461C22⋊#92418C2311yescharacteristic
462C22⋊#92418C2311yescharacteristic
463#14519689C2311yescharacteristic
464#14519689C2311yescharacteristic
465#14519689C2311yescharacteristic
466#14519689C2311yescharacteristic
467#14519687C2311yescharacteristic
468C4×#92418C2311yescharacteristic
469C8×Dic61C2311yescharacteristic
470C2×#41×C61C2311yescharacteristic
471C22×Q8×C61C2311yescharacteristic
472C22×Q8×C61C2311yescharacteristic
473C22×D4×C61C2311yescharacteristic
474#137×C61—24no—
475C2×Q16×C61C2311yescharacteristic
476C2×Q16×C61C2311yescharacteristic
477C2×Q16×C61C2311yescharacteristic
478C2×SD16×C61—24no—
479C2×SD16×C61C2311yescharacteristic
480C2×SD16×C61C2311yescharacteristic
481C2×SD16×C61C2311yescharacteristic
482C2×SD16×C61C2311yescharacteristic
483C2×SD16×C61C2311yescharacteristic
484C2×SD16×C61C2311yescharacteristic
485C2×M16×C61C2311yescharacteristic
486C22×C8×C61C2311yescharacteristic
487C4⋊Q8×C61—21no—
488C4⋊Q8×C61C2311yescharacteristic
489#124×C61C2311yescharacteristic
490#123×C61—21no—
491C22⋊Q8×C61—21no—
492C22⋊Q8×C61—21no—
493C22⋊Q8×C61C2311yescharacteristic
494C22⋊Q8×C61C2311yescharacteristic
495C22⋊Q8×C61C2311yescharacteristic
496#121×C61—21no—
497#121×C61C2311yescharacteristic
498#120×C61—21no—
499C4×Q8×C61C2311yescharacteristic
500C4×D4×C61—21no—
501C4×D4×C61C2311yescharacteristic
502C4×D4×C61C2311yescharacteristic
503C2×C22⋊C4×C61—21no—
504#107×C61C2311yescharacteristic
505C4⋊C8×C61C2311yescharacteristic
506#103×C61C2311yescharacteristic
507#103×C61C2311yescharacteristic
508#103×C61C2311yescharacteristic
509#103×C61C2311yescharacteristic
510#102×C61C2311yescharacteristic
511#102×C61C2311yescharacteristic
512C22⋊C8×C61C2311yescharacteristic
513C22⋊C8×C61C2311yescharacteristic
514#97×C61C2311yescharacteristic
515C24×C61—21no—
516C23×D61C2×D411yescharacteristic
517#41×C61—22no—
518#41×C61—41no—
519C2×Q8×C61—21no—
520C2×Q8×C61—21no—
521C2×Q8×C61—22no—
522C2×Q8×C61—22no—
523C2×Q8×C61—41no—
524C2×Q8×C61—41no—
525C2×Q8×C61C2411yescharacteristic
526C2×Q8×C61C2411yescharacteristic
527C2×Q8×C61C2411yescharacteristic
528C2×Q8×C61C2411yescharacteristic
529C2×D4×C61—22no—
530C2×D4×C61—21no—
531C2×D4×C61—21no—
532C2×D4×C61—21no—
533C2×D4×C61—41no—
534C2×D4×C61C2×D411yescharacteristic
535C2×D4×C61C2411yescharacteristic
536C2×D4×C61C2411yescharacteristic
537C22×C4×C61—21no—
538C22×C4×C61—21no—
539C22×C4×C61—21no—
540C22×C4×C61—21no—
541C22×C4×C61C2411yescharacteristic
542C22×C4×C61C2411yescharacteristic
543C2×C22⋊D61—21no—
544C2×C22⋊D61—21no—
545C2×C22⋊D61—21no—
546C2×C22⋊D61—21no—
547C2×C22⋊D61—21no—
548C2×C22⋊D61—21no—
549C2×C22⋊D61—21no—
550C2×C22⋊D61—21no—
551C2×C22⋊D61—44no—
552C2×C22⋊D61C2×D411yescharacteristic
553C2×C22⋊D61C2×D411yescharacteristic
554C2×C22⋊D61C2×D411yescharacteristic
555C2×C22⋊D61C2×D411yescharacteristic
556C22×Dic61—21no—
557C22×Dic61—21no—
558C22×Dic61—21no—
559C22×Dic61—21no—
560C22×Dic61—21no—
561C22×Dic61—21no—
562C22×Dic61—21no—
563C22×Dic61—21no—
564C22×Dic61—21no—
565C22×Dic61—44no—
566C22×Dic61C2×D411yescharacteristic
567#11758226—22no—
568#11758226—22no—
569#11758226—22no—
570#11758226—41no—
571#11758226—44no—
572Q8×D61—22no—
573Q8×D61—22no—
574Q8×D61—22no—
575Q8×D61—22no—
576Q8×D61—22no—
577Q8×D61—22no—
578Q8×D61—22no—
579Q8×D61—22no—
580Q8×D61—22no—
581Q8×D61—44no—
582Q8×D61—41no—
583Q8×D61—41no—
584Q8×D61—41no—
585Q8×D61—41no—
586Q8×D61—44no—
587Q8×D61—44no—
588Q8×D61C2×D414yes—
589#11758224—22no—
590#11758224—22no—
591#11758224—22no—
592#11758224—22no—
593#11758224—22no—
594#11758224—22no—
595#11758224—41no—
596#11758224—41no—
597#11758224—41no—
598#11758224—44no—
599#11758224—44no—
600#11758224—44no—
601#11758224—44no—
602#11758224C2×D414yes—
603#11758222—22no—
604#11758222—22no—
605#11758222—22no—
606#11758222—41no—
607#11758222—44no—
608#11758222—44no—
609#11758222—44no—
610C2×D244—21no—
611C2×D244—21no—
612C2×D244—21no—
613C2×D244C2×D411yescharacteristic
614C2×D244C2×D411yescharacteristic
615C2×D244C2411yescharacteristic
616C2×C4×D61—21no—
617C2×C4×D61—22no—
618C2×C4×D61—22no—
619C2×C4×D61—21no—
620C2×C4×D61—21no—
621C2×C4×D61—21no—
622C2×C4×D61—21no—
623C2×C4×D61—21no—
624C2×C4×D61—21no—
625C2×C4×D61—21no—
626C2×C4×D61—21no—
627C2×C4×D61—21no—
628C2×C4×D61—21no—
629C2×C4×D61—44no—
630C2×C4×D61C2×D411yescharacteristic
631C2×C4×D61C2×D411yescharacteristic
632C2×C4×D61C2411yescharacteristic
633C2×C4×D61C2411yescharacteristic
634C2×C4×D61C2411yescharacteristic
635C2×Dic122—21no—
636C2×Dic122—22no—
637C2×Dic122—22no—
638C2×Dic122—22no—
639C2×Dic122—21no—
640C2×Dic122—21no—
641C2×Dic122—21no—
642C2×Dic122—21no—
643C2×Dic122—21no—
644C2×Dic122—21no—
645C2×Dic122—21no—
646C2×Dic122—21no—
647C2×Dic122—21no—
648C2×Dic122—41no—
649C2×Dic122—41no—
650C2×Dic122—41no—
651C2×Dic122—44no—
652C2×Dic122—44no—
653C2×Dic122C2×D411yescharacteristic
654C2×Dic122C2411yescharacteristic
655C2×Dic122C2411yescharacteristic
656C2×Dic122C2411yescharacteristic
657C2×Dic122C2411yescharacteristic
658C2×Dic122C2411yescharacteristic
659Q16×C61—22no—
660Q16×C61—22no—
661Q16×C61—41no—
662SD16×C61—22no—
663SD16×C61—22no—
664SD16×C61—22no—
665SD16×C61—22no—
666SD16×C61—41no—
667SD16×C61C2×D414yes—
668M16×C61—22no—
669C2×C8×C61—22no—
670C2×C8×C61C2411yescharacteristic
671C2×C8×C61C2411yescharacteristic
672C2×C8×C61C2411yescharacteristic
673C2×C8×C61C2411yescharacteristic
674C4⋊C4×C61—21no—
675C4⋊C4×C61—21no—
676C4⋊C4×C61—21no—
677C4⋊C4×C61—21no—
678C4⋊C4×C61—21no—
679C4⋊C4×C61—21no—
680C4⋊C4×C61C2×D411yescharacteristic
681C4⋊C4×C61C2411yescharacteristic
682C4⋊C4×C61C2411yescharacteristic
683C22⋊C4×C61—21no—
684C22⋊C4×C61—21no—
685C22⋊C4×C61—21no—
686C22⋊C4×C61—21no—
687C22⋊C4×C61—21no—
688C22⋊C4×C61—21no—
689C22⋊C4×C61—21no—
690C22⋊C4×C61C2×D411yescharacteristic
691C22⋊C4×C61C2×D411yescharacteristic
692C42×C61—21no—
693C42×C61C2411yescharacteristic
694C22⋊Dic61—21no—
695C22⋊Dic61—21no—
696C22⋊Dic61—21no—
697C22⋊Dic61—21no—
698C22⋊Dic61—21no—
699C22⋊Dic61—21no—
700C22⋊Dic61—21no—
701C22⋊Dic61C2×D411yescharacteristic
702C22⋊Dic61C2×D411yescharacteristic
703#11758202—22no—
704#11758202—22no—
705#11758202—22no—
706#11758202—22no—
707#11758202—22no—
708#11758202—22no—
709#11758202—22no—
710#11758202—41no—
711#11758202—41no—
712#11758202—41no—
713#11758202C2×D414yes—
714#11758201—22no—
715#11758200—22no—
716#11758200—22no—
717#11758200—22no—
718#11758200C2×D414yes—
719#11758199—22no—
720#11758199—41no—
721#11758198—21no—
722#11758198—21no—
723#11758198—21no—
724#11758198—21no—
725#11758198—21no—
726#11758198—21no—
727#11758198—21no—
728#11758198—21no—
729#11758198—21no—
730#11758198—21no—
731#11758198—21no—
732#11758198—21no—
733#11758198—21no—
734#11758198C2×D411yescharacteristic
735#11758198C2×D411yescharacteristic
736#11758198C2×D411yescharacteristic
737#11758198C2×D411yescharacteristic
738#11758198C2×D411yescharacteristic
739#11758198C2×D411yescharacteristic
740C4⋊Dic61—21no—
741C4⋊Dic61—21no—
742C4⋊Dic61—21no—
743C4⋊Dic61—21no—
744C4⋊Dic61—21no—
745C4⋊Dic61—21no—
746C4⋊Dic61C2×D411yescharacteristic
747C4⋊Dic61C2411yescharacteristic
748C4⋊Dic61C2411yescharacteristic
749#11758196—21no—
750#11758196—21no—
751#11758196—21no—
752#11758196—21no—
753#11758196—21no—
754#11758196—21no—
755#11758196—21no—
756#11758196—21no—
757#11758196—21no—
758#11758196—21no—
759#11758196—21no—
760#11758196—21no—
761#11758196—21no—
762#11758196—21no—
763#11758196—21no—
764#11758196C2×D411yescharacteristic
765#11758196C2×D411yescharacteristic
766#11758196C2×D411yescharacteristic
767#11758196C2×D411yescharacteristic
768C4×Dic61—21no—
769C4×Dic61—21no—
770C4×Dic61—21no—
771C4×Dic61—21no—
772C4×Dic61—21no—
773C4×Dic61—21no—
774C4×Dic61C2411yescharacteristic
775C2×#92418—22no—
776C2×#92418—22no—
777C2×#92418C2411yescharacteristic
778C2×#92418C2411yescharacteristic
779C2×#92418C2411yescharacteristic
780C2×#92418C2411yescharacteristic
781Dic244—22no—
782Dic244—22no—
783Dic244—22no—
784Dic244—22no—
785Dic244—41no—
786Dic244C2×D414yes—
787#11758190—22no—
788#11758190—22no—
789#11758190—41no—
790#11758189—22no—
791#11758189—22no—
792#11758189—22no—
793#11758189—22no—
794#11758189C2×D414yes—
795C8×D61—22no—
796C8×D61—22no—
797C8×D61—22no—
798C23×C61—21no—
799C23×C61—21no—
800C23×C61—42no—
801C23×C61—42no—
802C23×C61—81no—
803C23×C61C22×D411yescharacteristic
804C23×C61C22×D411yescharacteristic
805C22×D61—22no—
806C22×D61—22no—
807C22×D61—21no—
808C22×D61—41no—
809C22×D61C22×D411yescharacteristic
810C22×D61C22×D411yescharacteristic
811C22×D61C22×D411yescharacteristic
812Q8×C61—21no—
813Q8×C61—21no—
814Q8×C61—21no—
815Q8×C61—21no—
816Q8×C61—21no—
817Q8×C61—21no—
818Q8×C61—21no—
819Q8×C61—42no—
820Q8×C61—42no—
821Q8×C61C22×D412yes—
822D4×C61—22no—
823D4×C61—21no—
824D4×C61—21no—
825D4×C61—21no—
826D4×C61—42no—
827D4×C61—42no—
828D4×C61—81no—
829D4×C61C22×D412yes—
830C2×C4×C61—21no—
831C2×C4×C61—21no—
832C2×C4×C61—21no—
833C2×C4×C61—21no—
834C2×C4×C61—21no—
835C2×C4×C61—21no—
836C2×C4×C61—21no—
837C2×C4×C61—21no—
838C2×C4×C61—21no—
839C2×C4×C61—21no—
840C2×C4×C61—42no—
841C2×C4×C61—42no—
842C2×C4×C61—42no—
843C2×C4×C61—81no—
844C2×C4×C61C22×D411yescharacteristic
845C2×C4×C61C22×D411yescharacteristic
846C2×C4×C61C22×D411yescharacteristic
847C2×C4×C61C22×D411yescharacteristic
848C2×C4×C61C2511yescharacteristic
849C22⋊D61—22no—
850C22⋊D61—22no—
851C22⋊D61—24no—
852C22⋊D61—22no—
853C22⋊D61—41no—
854C22⋊D61—42no—
855C22⋊D61—42no—
856C22⋊D61—42no—
857C22⋊D61—42no—
858C22⋊D61—42no—
859C22⋊D61—42no—
860C22⋊D61—81no—
861C2×Dic61—21no—
862C2×Dic61—21no—
863C2×Dic61—22no—
864C2×Dic61—24no—
865C2×Dic61—21no—
866C2×Dic61—21no—
867C2×Dic61—21no—
868C2×Dic61—21no—
869C2×Dic61—21no—
870C2×Dic61—42no—
871C2×Dic61—42no—
872C2×Dic61—42no—
873C2×Dic61—42no—
874C2×Dic61—42no—
875C2×Dic61—42no—
876C2×Dic61—42no—
877C2×Dic61—81no—
878C2×Dic61C22×D411yescharacteristic
879C2×Dic61C22×D411yescharacteristic
880C2×Dic61C22×D411yescharacteristic
881C2×Dic61C22×D411yescharacteristic
882C2×Dic61C22×D411yescharacteristic
883D244—22no—
884D244—21no—
885D244—21no—
886D244—41no—
887D244—42no—
888D244—42no—
889D244—42no—
890C4×D61—22no—
891C4×D61—24no—
892C4×D61—21no—
893C4×D61—21no—
894C4×D61—21no—
895C4×D61—21no—
896C4×D61—22no—
897C4×D61—42no—
898C4×D61—42no—
899C4×D61—42no—
900C4×D61—42no—
901C4×D61—42no—
902C4×D61—42no—
903C4×D61—42no—
904C4×D61—42no—
905C4×D61—42no—
906C4×D61—81no—
907C4×D61C22×D412yes—
908C4×D61H(5,𝔽2)12yes—
909Dic122—21no—
910Dic122—21no—
911Dic122—24no—
912Dic122—22no—
913Dic122—21no—
914Dic122—21no—
915Dic122—21no—
916Dic122—21no—
917Dic122—21no—
918Dic122—21no—
919Dic122—42no—
920Dic122—42no—
921Dic122—42no—
922Dic122—42no—
923Dic122—42no—
924Dic122—42no—
925Dic122—42no—
926Dic122—42no—
927Dic122—42no—
928Dic122C22×D412yes—
929Dic122C22×D412yes—
930C8×C61—21no—
931C8×C61—21no—
932C8×C61—21no—
933C8×C61C22×D412yes—
934#92418—21no—
935#92418—21no—
936#92418—21no—
937#92418C22×D412yes—
938#61076—611nomaximal, Sylow
939C22×C61—21no—
940C22×C61—21no—
941C22×C61—21no—
942C22×C61—22no—
943C22×C61—21no—
944C22×C61—21no—
945C22×C61—41no—
946C22×C61—41no—
947C22×C61—41no—
948C22×C61—41no—
949C22×C61—41no—
950C22×C61—84no—
951C22×C61#57812yescomplemented
952C22×C61C23×D411yescharacteristic
953C2×D61—21no—
954C2×D61—21no—
955C2×D61—21no—
956C2×D61—21no—
957C2×D61—21no—
958C2×D61—21no—
959C2×D61—21no—
960C2×D61—21no—
961C2×D61—44no—
962C2×D61—41no—
963C2×D61—41no—
964C2×D61—41no—
965C2×D61D4212yes—
966C4×C61—21no—
967C4×C61—21no—
968C4×C61—22no—
969C4×C61—21no—
970C4×C61—21no—
971C4×C61—41no—
972C4×C61—41no—
973C4×C61—41no—
974C4×C61—41no—
975C4×C61—41no—
976C4×C61C23×D411yescharacteristic
977C4×C61C2×H(5,𝔽2)11yescharacteristic
978Dic61—21no—
979Dic61—22no—
980Dic61—21no—
981Dic61—22no—
982Dic61—21no—
983Dic61—21no—
984Dic61—41no—
985Dic61—41no—
986Dic61—41no—
987Dic61—41no—
988Dic61—41no—
989Dic61D4212yes—
990C2×#578—611no—
991C22×#137—611no—
992#3489—611no—
993#3486—611no—
994D4×Q16—611no—
995D4×Q16—611no—
996#3282—611no—
997#3282—611no—
998#3277—611no—
999#3277—611no—
1000#3276—611no—
1001#3276—611no—
1002#3270—611no—
1003#3270—611no—
1004#3270—611no—
1005#3270—611no—
1006#3269—611no—
1007#3269—611no—
1008#3266—611no—
1009#3266D6111yescharacteristic, complemented
1010#3156—611no—
1011#3063—611no—
1012#3056—611no—
1013#3046—611no—
1014#3044—611no—
1015#3013—611no—
1016#3011—611no—
1017#3002—611no—
1018C2×#451—611no—
1019#2947—611no—
1020#2933—611no—
1021C2×C61—22no—
1022C2×C61—41no—
1023C2×C61—42no—
1024C2×C61—81no—
1025C2×C61C2×D4211yescharacteristic
1026C2×C61C2×#57811yescharacteristic
1027C2×C61#358611yescharacteristic
1028D61—22no—
1029D61—41no—
1030D61—41no—
1031D61—81no—
1032C2×2−1+4—611no—
1033C2×2−1+4—611no—
1034C22×#41—611no—
1035C23×Q8—611no—
1036#578—1228no—
1037C2×#137—611no—
1038C2×#137—611no—
1039C2×#137—611no—
1040C2×#137—611no—
1041C2×#137—611no—
1042C2×#137—611no—
1043C2×#137—611no—
1044C2×#137—611no—
1045C2×#137—611no—
1046C2×#137—611no—
1047C2×#137—611no—
1048C2×#137—611no—
1049C2×#137—1228no—
1050C2×#137C2×D6111yescharacteristic, complemented
1051C2×#135—611no—
1052C2×#135—611no—
1053C2×#135—611no—
1054C2×#135—611no—
1055C22×Q16—611no—
1056C22×Q16—611no—
1057C22×Q16—611no—
1058C22×Q16—611no—
1059C22×Q16—611no—
1060C22×Q16—611no—
1061C22×SD16—611no—
1062C22×SD16C2×D6111yescharacteristic
1063C2×#131—611no—
1064C22×M16—611no—
1065D4×Q8—611no—
1066D4×Q8—611no—
1067D4×Q8—611no—
1068D4×Q8—611no—
1069D4×Q8—611no—
1070D4×Q8—1221no—
1071D4×Q8—1221no—
1072D4×Q8C2×D6111yescharacteristic
1073#548—611no—
1074#548—611no—
1075#548—611no—
1076#548—611no—
1077#548—611no—
1078#548—611no—
1079#548—1221no—
1080#548—1221no—
1081#547—611no—
1082#547—611no—
1083#547—1221no—
1084#547—1221no—
1085#546—611no—
1086#546—1221no—
1087#546—1221no—
1088#546C2×D6111yescharacteristic
1089#537—611no—
1090#537—1221no—
1091#536—611no—
1092#536—611no—
1093#536—611no—
1094#536—1221no—
1095#536—1221no—
1096#536—1221no—
1097#525—611no—
1098#525—611no—
1099#525—1221no—
1100#525—1221no—
1101#525—1221no—
1102C2×C22⋊Q8—611no—
1103C2×C22⋊Q8—1221no—
1104#520—611no—
1105#519—611no—
1106#497—611no—
1107#497—611no—
1108#497—611no—
1109#497C2×D6111yescharacteristic, complemented
1110#495—611no—
1111#495—611no—
1112#494—611no—
1113#494—611no—
1114#470—611no—
1115#470—611no—
1116#470—611no—
1117#470—611no—
1118#468—611no—
1119#468—611no—
1120#468—611no—
1121#468C2×D6111yescharacteristic, complemented
1122#467—611no—
1123#467—611no—
1124#467—611no—
1125#467C2×D6111yescharacteristic
1126#465—611no—
1127#465—611no—
1128#465—611no—
1129#465—611no—
1130#464—611no—
1131#464—611no—
1132#464—611no—
1133#464—611no—
1134#464—611no—
1135#464C2×D6111yescharacteristic, complemented
1136#463—611no—
1137#463—611no—
1138#462—611no—
1139#462—611no—
1140#462—611no—
1141#462—611no—
1142#462—611no—
1143#462—611no—
1144#461—611no—
1145#461C2×D6111yescharacteristic, complemented
1146#452—611no—
1147#452—611no—
1148#452—611no—
1149#452—611no—
1150#452—611no—
1151#452—611no—
1152#452—611no—
1153#452C2×D6111yescharacteristic, complemented
1154#451—611no—
1155#451—611no—
1156#451—611no—
1157#451—611no—
1158#451—611no—
1159#451—611no—
1160#451—611no—
1161#451—611no—
1162#451—611no—
1163#451—611no—
1164#451—611no—
1165#451—611no—
1166#451—611no—
1167#451—611no—
1168#451C2×D6111yescharacteristic
1169#450C2×D6111yescharacteristic
1170#449—611no—
1171#449—611no—
1172#449—611no—
1173#449—611no—
1174#448—611no—
1175#448—611no—
1176#448C2×D6111yescharacteristic, complemented
1177#447—611no—
1178#441—611no—
1179#441—611no—
1180#440—611no—
1181#440C2×D6111yescharacteristic, complemented
1182C4×Q16—611no—
1183C4×Q16—611no—
1184C4×SD16—611no—
1185C4×SD16—611no—
1186#436—611no—
1187#436—611no—
1188#435—611no—
1189#435—611no—
1190#435—611no—
1191#435C2×D6111yescharacteristic
1192C8×D4—611no—
1193C8×D4—611no—
1194#428—611no—
1195#424—611no—
1196#419—611no—
1197#417—611no—
1198#416—611no—
1199#416—611no—
1200C2×#103—611no—
1201C2×#103—611no—
1202#408—611no—
1203C2×C22⋊C8—611no—
1204#405—611no—
1205C61#6107611yescharacteristic, complemented, Sylow
12062−1+4—1224no—
12072−1+4—1224no—
12082−1+4—2442no—
12092−1+4—2442no—
1210C2×#41—611no—
1211C2×#41—611no—
1212C2×#41—611no—
1213C2×#41—611no—
1214C2×#41—611no—
1215C2×#41—611no—
1216C2×#41—611no—
1217C2×#41—611no—
1218C2×#41—611no—
1219C2×#41—1221no—
1220C2×#41—1221no—
1221C2×#41—1221no—
1222C2×#41—1221no—
1223C2×#41—1221no—
1224C2×#41—1221no—
1225C2×#41—1221no—
1226C2×#41—1221no—
1227C2×#41—1224no—
1228C2×#41—2442no—
1229C2×#41C22×D6111yescharacteristic
1230C22×Q8—611no—
1231C22×Q8—611no—
1232C22×Q8—611no—
1233C22×Q8—611no—
1234C22×Q8—611no—
1235C22×Q8—611no—
1236C22×Q8—611no—
1237C22×Q8—611no—
1238C22×Q8—611no—
1239C22×Q8—611no—
1240C22×Q8—1221no—
1241C22×Q8—1221no—
1242C22×Q8—1221no—
1243C22×Q8—1221no—
1244C22×Q8—1221no—
1245C22×Q8—1224no—
1246C22×Q8—2442no—
1247C22×Q8C22×D6111yescharacteristic
1248C22×Q8C22×D6111yescharacteristic
1249C22×D4—1221no—
1250C22×D4C22×D6111yescharacteristic
1251C23×C4—611no—
1252C23×C4—1221no—
1253C23×C4—1221no—
1254#137—24no—
1255#137—618no—
1256#137—1224no—
1257#137—1224no—
1258#137—1224no—
1259#137—1224no—
1260#137—1224no—
1261#137—1224no—
1262#137—1224no—
1263#137—1224no—
1264#137—1224no—
1265#137—1224no—
1266#137—1224no—
1267#135—1224no—
1268#135—1224no—
1269#135—1224no—
1270#135—2442no—
1271C2×Q16—611no—
1272C2×Q16—611no—
1273C2×Q16—611no—
1274C2×Q16—611no—
1275C2×Q16—611no—
1276C2×Q16—611no—
1277C2×Q16—611no—
1278C2×Q16—611no—
1279C2×Q16—611no—
1280C2×Q16—611no—
1281C2×Q16—611no—
1282C2×Q16—611no—
1283C2×Q16—611no—
1284C2×Q16—611no—
1285C2×Q16—611no—
1286C2×Q16—611no—
1287C2×Q16—611no—
1288C2×Q16—1224no—
1289C2×Q16—1224no—
1290C2×Q16—1224no—
1291C2×Q16—1224no—
1292C2×Q16—1224no—
1293C2×Q16—2442no—
1294C2×Q16C22×D6111yescharacteristic
1295C2×Q16C22×D6111yescharacteristic
1296C2×Q16C22×D6111yescharacteristic
1297C2×SD16—24no—
1298C2×SD16—611no—
1299C2×SD16—611no—
1300C2×SD16—611no—
1301C2×SD16—611no—
1302C2×SD16—611no—
1303C2×SD16—611no—
1304C2×SD16—611no—
1305C2×SD16—611no—
1306C2×SD16—1224no—
1307C2×SD16C22×D6111yescharacteristic
1308C2×SD16C22×D6111yescharacteristic
1309C2×SD16C22×D6111yescharacteristic
1310C2×SD16C22×D6111yescharacteristic
1311C2×SD16C22×D6111yescharacteristic
1312C2×SD16C22×D6111yescharacteristic
1313C2×D8—611no—
1314C2×D8—611no—
1315#131—1224no—
1316C2×M16—611no—
1317C2×M16—611no—
1318C2×M16—611no—
1319C2×M16—611no—
1320C2×M16—611no—
1321C2×M16—1224no—
1322C2×M16C22×D6111yescharacteristic
1323C22×C8—611no—
1324C22×C8—611no—
1325C22×C8—611no—
1326C22×C8—611no—
1327C22×C8—611no—
1328C22×C8C22×D6111yescharacteristic
1329C4⋊Q8—21no—
1330C4⋊Q8—611no—
1331C4⋊Q8—611no—
1332C4⋊Q8—611no—
1333C4⋊Q8—1221no—
1334C4⋊Q8—1221no—
1335C4⋊Q8—1221no—
1336C4⋊Q8—1221no—
1337C4⋊Q8—1221no—
1338C4⋊Q8—1221no—
1339C4⋊Q8C22×D6111yescharacteristic
1340#124—611no—
1341#124—611no—
1342#124—611no—
1343#124—1221no—
1344#124—1221no—
1345#124—1221no—
1346#124—1221no—
1347#124—1221no—
1348#124—1221no—
1349#124—1221no—
1350#124C22×D6111yescharacteristic
1351#123—21no—
1352#123—611no—
1353#123—611no—
1354#123—1221no—
1355#123—1221no—
1356#123—1221no—
1357#123—1221no—
1358#123—1221no—
1359#123—1221no—
1360#123—1221no—
1361#123—1221no—
1362#123—1221no—
1363#123—1221no—
1364#123—1221no—
1365#123—1221no—
1366C22⋊Q8—21no—
1367C22⋊Q8—21no—
1368C22⋊Q8—611no—
1369C22⋊Q8—611no—
1370C22⋊Q8—611no—
1371C22⋊Q8—611no—
1372C22⋊Q8—611no—
1373C22⋊Q8—611no—
1374C22⋊Q8—611no—
1375C22⋊Q8—611no—
1376C22⋊Q8—611no—
1377C22⋊Q8—611no—
1378C22⋊Q8—611no—
1379C22⋊Q8—1221no—
1380C22⋊Q8—1221no—
1381C22⋊Q8—1221no—
1382C22⋊Q8—1221no—
1383C22⋊Q8—1221no—
1384C22⋊Q8—1221no—
1385C22⋊Q8—1221no—
1386C22⋊Q8—1221no—
1387C22⋊Q8—1221no—
1388C22⋊Q8—1221no—
1389C22⋊Q8—1221no—
1390C22⋊Q8—1221no—
1391C22⋊Q8—1221no—
1392C22⋊Q8—1221no—
1393C22⋊Q8—1221no—
1394C22⋊Q8—1221no—
1395C22⋊Q8—1221no—
1396C22⋊Q8—1221no—
1397C22⋊Q8—1221no—
1398C22⋊Q8—1221no—
1399C22⋊Q8—1221no—
1400C22⋊Q8—1221no—
1401C22⋊Q8—1221no—
1402C22⋊Q8C22×D6111yescharacteristic
1403C22⋊Q8C22×D6111yescharacteristic
1404C22⋊Q8C22×D6111yescharacteristic
1405#121—21no—
1406#121—611no—
1407#121—611no—
1408#121—611no—
1409#121—611no—
1410#121—611no—
1411#121—1221no—
1412#121—1221no—
1413#121—1221no—
1414#121—1221no—
1415#121—1221no—
1416#121—1221no—
1417#121—1221no—
1418#121—1221no—
1419#121—1221no—
1420#121—1221no—
1421#121—1221no—
1422#121—1221no—
1423#121C22×D6111yescharacteristic
1424#120—21no—
1425#120—611no—
1426#120—611no—
1427#120—1221no—
1428#120—1221no—
1429C4×Q8—611no—
1430C4×Q8—611no—
1431C4×Q8—611no—
1432C4×Q8—611no—
1433C4×Q8—611no—
1434C4×Q8—1221no—
1435C4×Q8—1221no—
1436C4×Q8C22×D6111yescharacteristic
1437C4×D4—21no—
1438C4×D4—611no—
1439C4×D4—611no—
1440C4×D4—611no—
1441C4×D4—611no—
1442C4×D4—1221no—
1443C4×D4—1221no—
1444C4×D4—1221no—
1445C4×D4—1221no—
1446C4×D4—1221no—
1447C4×D4—1221no—
1448C4×D4—1221no—
1449C4×D4—1221no—
1450C4×D4—1221no—
1451C4×D4—1221no—
1452C4×D4—1221no—
1453C4×D4—1221no—
1454C4×D4—1221no—
1455C4×D4—1221no—
1456C4×D4—1221no—
1457C4×D4C22×D6111yescharacteristic
1458C4×D4C22×D6111yescharacteristic
1459#117—611no—
1460#117—611no—
1461#117—1221no—
1462#117—1221no—
1463#117—1221no—
1464C2×C4⋊C4—611no—
1465C2×C4⋊C4—1221no—
1466C2×C4⋊C4—1221no—
1467C2×C4⋊C4—1221no—
1468C2×C4⋊C4—1221no—
1469C2×C22⋊C4—21no—
1470C2×C22⋊C4—1221no—
1471C2×C22⋊C4—1221no—
1472#107—611no—
1473#107C22×D6111yescharacteristic
1474#106—611no—
1475#106—611no—
1476C4⋊C8—611no—
1477C4⋊C8—611no—
1478C4⋊C8—611no—
1479C4⋊C8C22×D6111yescharacteristic
1480#103—611no—
1481#103—611no—
1482#103—611no—
1483#103—611no—
1484#103—611no—
1485#103—611no—
1486#103—611no—
1487#103—611no—
1488#103—611no—
1489#103—611no—
1490#103—611no—
1491#103—611no—
1492#103—611no—
1493#103—611no—
1494#103C22×D6111yescharacteristic
1495#103C22×D6111yescharacteristic
1496#103C22×D6111yescharacteristic
1497#103C22×D6111yescharacteristic
1498#102—611no—
1499#102—611no—
1500#102—611no—
1501#102—611no—
1502#102C22×D6111yescharacteristic
1503#102C22×D6111yescharacteristic
1504C22⋊C8—611no—
1505C22⋊C8—611no—
1506C22⋊C8—611no—
1507C22⋊C8—611no—
1508C22⋊C8—611no—
1509C22⋊C8—611no—
1510C22⋊C8C22×D6111yescharacteristic
1511C22⋊C8C22×D6111yescharacteristic
1512#97—611no—
1513#97C22×D6111yescharacteristic
1514C4×C8—611no—
1515C4×C8—611no—
1516C24—21no—
1517C24—611no—
1518#41—22no—
1519#41—41no—
1520#41—614no—
1521#41—1222no—
1522#41—1222no—
1523#41—1222no—
1524#41—1222no—
1525#41—1222no—
1526#41—1222no—
1527#41—1222no—
1528#41—1222no—
1529#41—1222no—
1530#41—1222no—
1531#41—1222no—
1532#41—1222no—
1533#41—2441no—
1534#41—2444no—
1535#41—2444no—
1536#41—2444no—
1537#41—2444no—
1538#41—2441no—
1539#41—2441no—
1540#41—2441no—
1541#41—2444no—
1542#41—2444no—
1543#41—2441no—
1544#41—2444no—
1545#41—2444no—
1546C2×Q8—21no—
1547C2×Q8—21no—
1548C2×Q8—22no—
1549C2×Q8—22no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—611no—
1553C2×Q8—614no—
1554C2×Q8—611no—
1555C2×Q8—611no—
1556C2×Q8—611no—
1557C2×Q8—611no—
1558C2×Q8—611no—
1559C2×Q8—1221no—
1560C2×Q8—1221no—
1561C2×Q8—1221no—
1562C2×Q8—1221no—
1563C2×Q8—1221no—
1564C2×Q8—1221no—
1565C2×Q8—1221no—
1566C2×Q8—1222no—
1567C2×Q8—1222no—
1568C2×Q8—1222no—
1569C2×Q8—1222no—
1570C2×Q8—1222no—
1571C2×Q8—1222no—
1572C2×Q8—1222no—
1573C2×Q8—1222no—
1574C2×Q8—1221no—
1575C2×Q8—1221no—
1576C2×Q8—1221no—
1577C2×Q8—1222no—
1578C2×Q8—1222no—
1579C2×Q8—1222no—
1580C2×Q8—1222no—
1581C2×Q8—2441no—
1582C2×Q8—2441no—
1583C2×Q8—2441no—
1584C2×Q8—2444no—
1585C2×Q8—2444no—
1586C2×Q8—2444no—
1587C2×Q8—2441no—
1588C2×Q8—2441no—
1589C2×Q8—2441no—
1590C2×Q8—2441no—
1591C2×Q8—2444no—
1592C2×Q8—2444no—
1593C2×Q8C23×D6111yescharacteristic
1594C2×Q8C23×D6111yescharacteristic
1595C2×Q8C23×D6111yescharacteristic
1596C2×Q8C23×D6111yescharacteristic
1597C2×D4—22no—
1598C2×D4—21no—
1599C2×D4—21no—
1600C2×D4—21no—
1601C2×D4—41no—
1602C2×D4—611no—
1603C2×D4—611no—
1604C2×D4—611no—
1605C2×D4—611no—
1606C2×D4—611no—
1607C2×D4—611no—
1608C2×D4—611no—
1609C2×D4—1221no—
1610C2×D4—1221no—
1611C2×D4—1221no—
1612C2×D4—1221no—
1613C2×D4—1221no—
1614C2×D4—1221no—
1615C2×D4—1221no—
1616C2×D4—1221no—
1617C2×D4—1221no—
1618C2×D4—1221no—
1619C2×D4—1221no—
1620C2×D4—2444no—
1621C2×D4D4×D6111yescharacteristic
1622C2×D4C23×D6111yescharacteristic
1623C2×D4C23×D6111yescharacteristic
1624C22×C4—21no—
1625C22×C4—21no—
1626C22×C4—21no—
1627C22×C4—21no—
1628C22×C4—611no—
1629C22×C4—611no—
1630C22×C4—611no—
1631C22×C4—611no—
1632C22×C4—611no—
1633C22×C4—611no—
1634C22×C4—1222no—
1635C22×C4—1222no—
1636C22×C4—1221no—
1637C22×C4—1221no—
1638C22×C4—1221no—
1639C22×C4—1221no—
1640C22×C4—1221no—
1641C22×C4—1221no—
1642C22×C4—1221no—
1643C22×C4—1221no—
1644C22×C4—1221no—
1645C22×C4—1221no—
1646C22×C4—1221no—
1647C22×C4—1221no—
1648C22×C4—1221no—
1649C22×C4—1221no—
1650C22×C4—1221no—
1651C22×C4—1221no—
1652C22×C4—1221no—
1653C22×C4—1221no—
1654C22×C4—1221no—
1655C22×C4—1221no—
1656C22×C4—2444no—
1657C22×C4—2444no—
1658C22×C4C23×D6111yescharacteristic
1659C22×C4C23×D6111yescharacteristic
1660Q16—22no—
1661Q16—22no—
1662Q16—41no—
1663Q16—614no—
1664Q16—614no—
1665Q16—1222no—
1666Q16—1222no—
1667Q16—1222no—
1668Q16—1222no—
1669Q16—1222no—
1670Q16—1222no—
1671Q16—1222no—
1672Q16—1222no—
1673Q16—1222no—
1674Q16—1222no—
1675Q16—1222no—
1676Q16—2441no—
1677Q16—2441no—
1678Q16—2441no—
1679Q16—2441no—
1680SD16—22no—
1681SD16—22no—
1682SD16—22no—
1683SD16—22no—
1684SD16—41no—
1685SD16—614no—
1686SD16—1222no—
1687SD16—1222no—
1688SD16—1222no—
1689SD16—1222no—
1690SD16—1222no—
1691SD16—1222no—
1692SD16—2441no—
1693SD16D4×D6114yes—
1694D8—1222no—
1695D8—2441no—
1696M16—22no—
1697M16—614no—
1698M16—1222no—
1699M16—1222no—
1700M16—1222no—
1701M16—1222no—
1702C2×C8—22no—
1703C2×C8—611no—
1704C2×C8—611no—
1705C2×C8—611no—
1706C2×C8—611no—
1707C2×C8—1222no—
1708C2×C8—1222no—
1709C2×C8—1222no—
1710C2×C8—1222no—
1711C2×C8—1222no—
1712C2×C8C23×D6111yescharacteristic
1713C2×C8C23×D6111yescharacteristic
1714C2×C8C23×D6111yescharacteristic
1715C2×C8C23×D6111yescharacteristic
1716C4⋊C4—21no—
1717C4⋊C4—21no—
1718C4⋊C4—21no—
1719C4⋊C4—21no—
1720C4⋊C4—21no—
1721C4⋊C4—21no—
1722C4⋊C4—611no—
1723C4⋊C4—611no—
1724C4⋊C4—611no—
1725C4⋊C4—611no—
1726C4⋊C4—611no—
1727C4⋊C4—611no—
1728C4⋊C4—611no—
1729C4⋊C4—1221no—
1730C4⋊C4—1221no—
1731C4⋊C4—1221no—
1732C4⋊C4—1221no—
1733C4⋊C4—1221no—
1734C4⋊C4—1221no—
1735C4⋊C4—1221no—
1736C4⋊C4—1221no—
1737C4⋊C4—1221no—
1738C4⋊C4—1221no—
1739C4⋊C4—1221no—
1740C4⋊C4—1221no—
1741C4⋊C4—1221no—
1742C4⋊C4—1221no—
1743C4⋊C4—1221no—
1744C4⋊C4—1221no—
1745C4⋊C4—1221no—
1746C4⋊C4—1221no—
1747C4⋊C4—1221no—
1748C4⋊C4—1221no—
1749C4⋊C4—1221no—
1750C4⋊C4D4×D6111yescharacteristic
1751C4⋊C4C23×D6111yescharacteristic
1752C4⋊C4C23×D6111yescharacteristic
1753C22⋊C4—21no—
1754C22⋊C4—21no—
1755C22⋊C4—21no—
1756C22⋊C4—21no—
1757C22⋊C4—21no—
1758C22⋊C4—21no—
1759C22⋊C4—21no—
1760C22⋊C4—611no—
1761C22⋊C4—611no—
1762C22⋊C4—611no—
1763C22⋊C4—611no—
1764C22⋊C4—611no—
1765C22⋊C4—611no—
1766C22⋊C4—611no—
1767C22⋊C4—611no—
1768C22⋊C4—1221no—
1769C22⋊C4—1221no—
1770C22⋊C4—1221no—
1771C22⋊C4—1221no—
1772C22⋊C4—1221no—
1773C22⋊C4—1221no—
1774C22⋊C4—1221no—
1775C22⋊C4—1221no—
1776C22⋊C4—1221no—
1777C22⋊C4—1221no—
1778C22⋊C4—1221no—
1779C22⋊C4—1221no—
1780C22⋊C4—1221no—
1781C22⋊C4—1221no—
1782C22⋊C4—1221no—
1783C22⋊C4—1221no—
1784C22⋊C4—1221no—
1785C22⋊C4—1221no—
1786C22⋊C4—1221no—
1787C22⋊C4—1221no—
1788C22⋊C4D4×D6111yescharacteristic
1789C22⋊C4D4×D6111yescharacteristic
1790C42—21no—
1791C42—611no—
1792C42—1221no—
1793C42—1221no—
1794C42—1221no—
1795C42—1221no—
1796C42—1221no—
1797C42—1221no—
1798C42C23×D6111yescharacteristic
1799C23—21no—
1800C23—21no—
1801C23—42no—
1802C23—42no—
1803C23—81no—
1804C23—611no—
1805C23—611no—
1806C23—611no—
1807C23—1222no—
1808C23—1222no—
1809C23—1221no—
1810C23—2441no—
1811C23C2×D4×D6111yescharacteristic
1812C23C2×D4×D6111yescharacteristic
1813Q8—21no—
1814Q8—21no—
1815Q8—21no—
1816Q8—21no—
1817Q8—21no—
1818Q8—21no—
1819Q8—21no—
1820Q8—42no—
1821Q8—42no—
1822Q8—612no—
1823Q8—612no—
1824Q8—1224no—
1825Q8—1222no—
1826Q8—1221no—
1827Q8—1221no—
1828Q8—1221no—
1829Q8—1221no—
1830Q8—1221no—
1831Q8—1221no—
1832Q8—1221no—
1833Q8—1221no—
1834Q8—2442no—
1835Q8—2442no—
1836Q8—2442no—
1837Q8—2442no—
1838Q8—2442no—
1839Q8—2442no—
1840Q8—2442no—
1841Q8—2442no—
1842Q8—2442no—
1843Q8C2×D4×D6112yes—
1844D4—22no—
1845D4—21no—
1846D4—21no—
1847D4—21no—
1848D4—42no—
1849D4—42no—
1850D4—81no—
1851D4—1222no—
1852D4—1222no—
1853D4—1222no—
1854D4—1224no—
1855D4—1222no—
1856D4—1221no—
1857D4—1221no—
1858D4—4881no—
1859D4—2441no—
1860D4—2442no—
1861D4—2442no—
1862D4—2442no—
1863D4—2441no—
1864D4—2442no—
1865D4—2442no—
1866D4—2442no—
1867D4—2442no—
1868D4—2442no—
1869D4—2442no—
1870D4C2×D4×D6112yes—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—42no—
1882C2×C4—42no—
1883C2×C4—42no—
1884C2×C4—81no—
1885C2×C4—611no—
1886C2×C4—612no—
1887C2×C4—612no—
1888C2×C4—611no—
1889C2×C4—611no—
1890C2×C4—611no—
1891C2×C4—611no—
1892C2×C4—1222no—
1893C2×C4—1222no—
1894C2×C4—1224no—
1895C2×C4—1222no—
1896C2×C4—1224no—
1897C2×C4—1221no—
1898C2×C4—1221no—
1899C2×C4—1221no—
1900C2×C4—1221no—
1901C2×C4—1221no—
1902C2×C4—1221no—
1903C2×C4—1221no—
1904C2×C4—1221no—
1905C2×C4—1221no—
1906C2×C4—1221no—
1907C2×C4—1221no—
1908C2×C4—4881no—
1909C2×C4—4881no—
1910C2×C4—2442no—
1911C2×C4—2442no—
1912C2×C4—2442no—
1913C2×C4—2442no—
1914C2×C4—2442no—
1915C2×C4—2442no—
1916C2×C4—2442no—
1917C2×C4—2442no—
1918C2×C4—2442no—
1919C2×C4—2442no—
1920C2×C4—2442no—
1921C2×C4—2442no—
1922C2×C4—2442no—
1923C2×C4—2442no—
1924C2×C4—2442no—
1925C2×C4—2442no—
1926C2×C4C2×D4×D6111yescharacteristic
1927C2×C4C2×D4×D6111yescharacteristic
1928C2×C4C2×D4×D6111yescharacteristic
1929C2×C4C2×D4×D6111yescharacteristic
1930C2×C4C24×D6111yescharacteristic
1931C8—21no—
1932C8—21no—
1933C8—21no—
1934C8—612no—
1935C8—1221no—
1936C8—1221no—
1937C8—1221no—
1938C8C2×D4×D6112yes—
1939C22—21no—
1940C22—21no—
1941C22—21no—
1942C22—22no—
1943C22—21no—
1944C22—21no—
1945C22—41no—
1946C22—41no—
1947C22—41no—
1948C22—41no—
1949C22—41no—
1950C22—84no—
1951C22—612no—
1952C22—1221no—
1953C22—1221no—
1954C22—1221no—
1955C22—1221no—
1956C22—1221no—
1957C22—1221no—
1958C22—1221no—
1959C22—1221no—
1960C22—2444no—
1961C22—2441no—
1962C22—2441no—
1963C22—2441no—
1964C22#1684057812yescomplemented
1965C22C22×D4×D6111yescharacteristic
1966C4—21no—
1967C4—21no—
1968C4—22no—
1969C4—21no—
1970C4—21no—
1971C4—41no—
1972C4—41no—
1973C4—41no—
1974C4—41no—
1975C4—41no—
1976C4—612no—
1977C4—1221no—
1978C4—1221no—
1979C4—1222no—
1980C4—1222no—
1981C4—1221no—
1982C4—1221no—
1983C4—2441no—
1984C4—2441no—
1985C4—2441no—
1986C4—2441no—
1987C4—2441no—
1988C4C22×D4×D6111yescharacteristic
1989C4H(5,𝔽2)×D6111yescharacteristic
1990C2—22no—
1991C2—41no—
1992C2—42no—
1993C2—81no—
1994C2—1222no—
1995C2—4881no—
1996C2—2441no—
1997C2—2441no—
1998C2D42×D6111yescharacteristic
1999C2C2×#1684057811yescharacteristic
2000C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3266C2
socleC22×C61C23×D4
hypercenter#3266D61
hypocenterC61#61076
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. C2×#16840578C2semidirect
2. C22×#14519806C2semidirect
3. #21459490C2semidirect
4. #21459469C2semidirect
5. #21457568C2semidirect
6. D4×#11758202C2semidirect
7. #21457526C2semidirect
8. #21457522C2semidirect
9. #21457473C2semidirect
10. #21457471C2semidirect
11. #21457468C2semidirect
12. #21457459C2semidirect
13. #21457394C2semidirect
14. #21457393C2semidirect
15. #21457388C2semidirect
16. #21457382C2semidirect
17. #21457378C2semidirect
18. #21457376C2semidirect
19. #21457333C2semidirect
20. #21456311C2semidirect
21. #21455505C2semidirect
22. #21455446C2semidirect
23. #21455364C2semidirect
24. #21455347C2semidirect
25. #21455129C2semidirect
26. #21455111C2semidirect
27. #21455038C2semidirect
28. #451×D61C2semidirect
29. #21454659C2semidirect
30. #21454545C2semidirect
31. C61×#3266C2semidirect
32. C2×#14519825C22semidirect
37. C2×#14519810C22semidirect
38. C2×#14519809C22semidirect
39. C2×#14519809C22semidirect
49. C2×#14519806C22semidirect
52. C2×#14519798C22semidirect
53. C2×#14519797C22semidirect
56. C22×#11758202C22semidirect
57. C2×Q16×D61C22semidirect
58. C2×Q16×D61C22semidirect
59. C2×Q16×D61C22semidirect
61. C2×#14519785C22semidirect
65. #16840427C22semidirect
66. Q8×C22⋊D61C22semidirect
70. #16840424C22semidirect
73. #16840422C22semidirect
88. #16840337C22semidirect
90. #16840335C22semidirect
101. #16840238C22semidirect
102. #16840156C22semidirect
103. #16840155C22semidirect
104. #16840153C22semidirect
105. #16840144C22semidirect
106. #16840143C22semidirect
107. #16840141C22semidirect
108. #16840140C22semidirect
109. #16840020C22semidirect
110. #16840019C22semidirect
111. #16840019C22semidirect
112. #16840017C22semidirect
113. #16840011C22semidirect
114. #16840009C22semidirect
115. #16840007C22semidirect
116. #16840004C22semidirect
118. #16840001C22semidirect
121. #16839989C22semidirect
122. #16839988C22semidirect
123. #16839987C22semidirect
124. #16839985C22semidirect
125. #16839983C22semidirect
126. #16839982C22semidirect
127. #16839981C22semidirect
128. #16839979C22semidirect
129. #16839977C22semidirect
130. #16839973C22semidirect
131. #16839972C22semidirect
132. #16839971C22semidirect
133. #16839971C22semidirect
134. #16839970C22semidirect
135. #16839969C22semidirect
136. #16839965C22semidirect
137. #16839927C22semidirect
138. #16839926C22semidirect
139. #16839925C22semidirect
140. #16839924C22semidirect
143. #16839921C22semidirect
145. #16839920C22semidirect
146. #16839919C22semidirect
147. #16839919C22semidirect
148. #16839919C22semidirect
149. #16839919C22semidirect
151. #16839918C22semidirect
154. #16839917C22semidirect
155. #16839916C22semidirect
156. #16839916C22semidirect
157. #16839916C22semidirect
160. #16839906C22semidirect
161. #16839905C22semidirect
163. #16839899C22semidirect
165. #16839870C22semidirect
166. #16839866C22semidirect
167. #16839859C22semidirect
168. #16839856C22semidirect
169. C4×#11758202C22semidirect
170. SD16×Dic61C22semidirect
171. C4×#11758200C22semidirect
172. #16839839C22semidirect
173. #16839838C22semidirect
174. #16839835C22semidirect
176. #16839830C22semidirect
179. #16839803C22semidirect
180. #16839787C22semidirect
181. #16839769C22semidirect
182. #16839762C22semidirect
185. #103×D61C22semidirect
186. #103×D61C22semidirect
187. #16839727C22semidirect
189. #16839719C22semidirect
190. C2×#137×C61C22semidirect
194. C61×#497C22semidirect
195. C61×#468C22semidirect
197. C61×#464C22semidirect
198. C61×#461C22semidirect
199. C61×#452C22semidirect
202. C61×#448C22semidirect
203. C61×#440C22semidirect
260. #14519806D4semidirect
951. C22×C61#578semidirect
1009. #3266D61semidirect
1050. C2×#137C2×D61semidirect
1109. #497C2×D61semidirect
1121. #468C2×D61semidirect
1135. #464C2×D61semidirect
1145. #461C2×D61semidirect
1153. #452C2×D61semidirect
1176. #448C2×D61semidirect
1181. #440C2×D61semidirect
1205. C61#61076semidirect
1964. C22#16840578semidirect

Maximal subgroups

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

subgroupindex
C2×#168405782
C22×#145198062
#214594902
#214594692
#214575682
D4×#117582022
#214575262
#214575222
#214574732
#214574712
#214574682
#214574592
#214573942
#214573932
#214573882
#214573822
#214573782
#214573762
#214573332
#214563112
#214555052
#214554462
#214553642
#214553472
#214551292
#214551112
#214550382
#451×D612
#214546592
#214545452
C61×#32662
#6107661