Finite Group Databasebeta

← #30555415

Subgroups — #30555415

Order 15616.

2764 conjugacy classes of subgroups.

The subgroup lattice has 2072 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840572C211yesmaximal, characteristic, complemented
2C2×#135×D61C211yesmaximal, characteristic, complemented
3#21459493C211yesmaximal, characteristic, complemented
4#21459482C211yesmaximal, characteristic, complemented
5#21457547C211yesmaximal, characteristic, complemented
6#21457545C211yesmaximal, characteristic, complemented
7#21457532C211yesmaximal, characteristic, complemented
8#21457524C211yesmaximal, characteristic, complemented
9#21457524C211yesmaximal, characteristic, complemented
10#21457522C211yesmaximal, characteristic, complemented
11#21457518C211yesmaximal, characteristic, complemented
12#21457513C211yesmaximal, characteristic, complemented
13#21457409C211yesmaximal, characteristic, complemented
14#21457401C211yesmaximal, characteristic, complemented
15#21457396C211yesmaximal, characteristic, complemented
16#21457388C211yesmaximal, characteristic, complemented
17#21457344C211yesmaximal, characteristic, complemented
18#21457301C211yesmaximal, characteristic, complemented
19#21457293C211yesmaximal, characteristic, complemented
20#21456294C211yesmaximal, characteristic, complemented
21#21455483C211yesmaximal, characteristic, complemented
22#465×D61C211yesmaximal, characteristic, complemented
23#21455364C211yesmaximal, characteristic, complemented
24#21455359C211yesmaximal, characteristic, complemented
25#21455138C211yesmaximal, characteristic, complemented
26#21455124C211yesmaximal, characteristic, complemented
27#21455076C211yesmaximal, characteristic, complemented
28#21455068C211yesmaximal, characteristic, complemented
29#21454701C211yesmaximal, characteristic, complemented
30#21454510C211yesmaximal, characteristic, complemented
31C61×#3267C211yesmaximal, characteristic, complemented
32C2×#14519824C2211yescharacteristic, complemented
33C2×#14519822C2211yescharacteristic, complemented
34C2×#41×D61C2211yescharacteristic
35C2×#41×D61C2211yescharacteristic, complemented
36#16840572—28no—
37C2×#14519810C2211yescharacteristic, complemented
38C2×#14519809C2211yescharacteristic, complemented
39C2×#14519806C2211yescharacteristic, complemented
40C2×#14519806C2211yescharacteristic, complemented
41C2×#14519804C2211yescharacteristic, complemented
42C2×#14519801C2211yescharacteristic, complemented
43C2×#14519801C2211yescharacteristic, complemented
44C2×#14519800C2211yescharacteristic, complemented
45C2×#14519799C2211yescharacteristic, complemented
46C2×#14519798C2211yescharacteristic
47C2×#14519798C2211yescharacteristic, complemented
48C2×#14519797C2211yescharacteristic, complemented
49C2×#14519797C2211yescharacteristic, complemented
50C2×#14519797C2211yescharacteristic, complemented
51C2×#14519796C2211yescharacteristic
52C2×#14519796C2211yescharacteristic, complemented
53#135×D61—28no—
54C2×Q16×D61C2211yescharacteristic, complemented
55C22×#11758200C2211yescharacteristic, complemented
56C2×SD16×D61C2211yescharacteristic, complemented
57C2×SD16×D61C2211yescharacteristic, complemented
58C2×SD16×D61C2211yescharacteristic, complemented
59C2×SD16×D61C2211yescharacteristic, complemented
60C2×D8×D61C2211yescharacteristic, complemented
61C2×#14519785C2211yescharacteristic, complemented
62C22×C8×D61C2211yescharacteristic, complemented
63#16840433C2211yescharacteristic, complemented
64#16840430C2211yescharacteristic, complemented
65#16840427C2211yescharacteristic, complemented
66#16840425C2211yescharacteristic, complemented
67#16840422C2211yescharacteristic
68#16840422C2211yescharacteristic, complemented
69#16840421C2211yescharacteristic, complemented
70#16840420C2211yescharacteristic
71#16840413—21no—
72#16840411C2211yescharacteristic, complemented
73#16840410—21no—
74#16840407C2211yescharacteristic, complemented
75#16840404—21no—
76#16840404—21no—
77#16840402—21no—
78#16840401—21no—
79#16840400C2211yescharacteristic, complemented
80#16840400C2211yescharacteristic, complemented
81D4×D244C2211yescharacteristic
82#16840396—21no—
83D4×C22⋊D61C2211yescharacteristic
84#16840394—21no—
85#16840342C2211yescharacteristic, complemented
86#16840342C2211yescharacteristic, complemented
87#16840339—21no—
88#16840339—21no—
89#16840337C2211yescharacteristic, complemented
90#16840334—21no—
91#16840330C2211yescharacteristic, complemented
92#16840327—21no—
93#16840271C2211yescharacteristic
94#16840270—21no—
95#16840270—21no—
96C2×#14519755—21no—
97C22⋊Q8×D61C2211yescharacteristic, complemented
98C2×#14519750—21no—
99#121×D61C2211yescharacteristic
100#16840241C2211yescharacteristic, complemented
101#16840241C2211yescharacteristic, complemented
102#16840155C2211yescharacteristic, complemented
103#16840151C2211yescharacteristic, complemented
104#16840148C2211yescharacteristic, complemented
105#16840147C2211yescharacteristic, complemented
106#16840144C2211yescharacteristic, complemented
107#16840136C2211yescharacteristic, complemented
108#16840133C2211yescharacteristic, complemented
109#16840017C2211yescharacteristic, complemented
110#16840016C2211yescharacteristic, complemented
111#16840015C2211yescharacteristic, complemented
112#16839994C2211yescharacteristic, complemented
113#16839994C2211yescharacteristic, complemented
114#16839994C2211yescharacteristic, complemented
115#16839993C2211yescharacteristic, complemented
116#16839993C2211yescharacteristic, complemented
117#16839993C2211yescharacteristic, complemented
118#16839992C2211yescharacteristic, complemented
119#16839991C2211yescharacteristic, complemented
120#16839990C2211yescharacteristic, complemented
121#16839989C2211yescharacteristic, complemented
122#16839988C2211yescharacteristic, complemented
123#16839987C2211yescharacteristic, complemented
124#16839987C2211yescharacteristic, complemented
125#16839985C2211yescharacteristic, complemented
126#16839981C2211yescharacteristic, complemented
127#16839979C2211yescharacteristic, complemented
128#16839979C2211yescharacteristic, complemented
129#16839977C2211yescharacteristic, complemented
130#16839971C2211yescharacteristic, complemented
131#16839969C2211yescharacteristic, complemented
132#16839965C2211yescharacteristic, complemented
133#16839963C2211yescharacteristic, complemented
134#16839961C2211yescharacteristic, complemented
135#16839957C2211yescharacteristic, complemented
136#16839955C2211yescharacteristic, complemented
137#16839926C2211yescharacteristic, complemented
138#16839924C2211yescharacteristic, complemented
139#16839922C2211yescharacteristic, complemented
140#16839922C2211yescharacteristic, complemented
141#16839921C2211yescharacteristic, complemented
142#16839921C2211yescharacteristic, complemented
143#16839919C2211yescharacteristic, complemented
144#16839917C2211yescharacteristic, complemented
145#16839916C2211yescharacteristic, complemented
146#16839916C2211yescharacteristic, complemented
147#16839914C2211yescharacteristic, complemented
148#16839911C2211yescharacteristic, complemented
149#16839911C2211yescharacteristic, complemented
150#16839909C2211yescharacteristic, complemented
151#16839909C2211yescharacteristic, complemented
152#16839908C2211yescharacteristic, complemented
153#16839908C2211yescharacteristic, complemented
154#16839907C2211yescharacteristic, complemented
155#16839907C2211yescharacteristic, complemented
156#16839905C2211yescharacteristic, complemented
157#16839903C2211yescharacteristic, complemented
158#16839902C2211yescharacteristic, complemented
159#16839902C2211yescharacteristic, complemented
160#16839899C2211yescharacteristic, complemented
161#16839897C2211yescharacteristic, complemented
162#16839897C2211yescharacteristic, complemented
163#16839896C2211yescharacteristic, complemented
164#16839894C2211yescharacteristic, complemented
165#16839874C2211yescharacteristic, complemented
166#16839870C2211yescharacteristic, complemented
167#16839868C2211yescharacteristic, complemented
168#16839853C2211yescharacteristic, complemented
169#16839853C2211yescharacteristic, complemented
170C4×#11758200C2211yescharacteristic, complemented
171C4×#11758200C2211yescharacteristic, complemented
172#16839835C2211yescharacteristic, complemented
173#16839833C2211yescharacteristic, complemented
174#16839831C2211yescharacteristic, complemented
175D4×#92418C2211yescharacteristic, complemented
176#16839827C2211yescharacteristic, complemented
177#16839825C2211yescharacteristic, complemented
178#16839825C2211yescharacteristic, complemented
179#106×D61C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839762C2211yescharacteristic, complemented
182#16839762C2211yescharacteristic, complemented
183#16839760C2211yescharacteristic, complemented
184#16839760C2211yescharacteristic, complemented
185#103×D61C2211yescharacteristic, complemented
186#102×D61C2211yescharacteristic, complemented
187#16839727C2211yescharacteristic, complemented
188#16839724C2211yescharacteristic, complemented
189#16839719C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C61C2211yescharacteristic, complemented
191C2×#135×C61C2211yescharacteristic, complemented
192C61×#547C2211yescharacteristic, complemented
193C61×#546C2211yescharacteristic, complemented
194C61×#497C2211yescharacteristic, complemented
195C61×#470C2211yescharacteristic, complemented
196C61×#465C2211yescharacteristic, complemented
197C61×#463C2211yescharacteristic, complemented
198C61×#461C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#452C2211yescharacteristic, complemented
201C61×#450C2211yescharacteristic, complemented
202C61×#449C2211yescharacteristic, complemented
203C61×#442C2211yescharacteristic, complemented
204C61×#435C2211yescharacteristic, complemented
205#14519824—24no—
206#14519824—42no—
207#14519822—24no—
208#14519822—42no—
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758222—21no—
212C2×#11758222—21no—
213C2×#11758222—21no—
214C2×#11758222C2311yescharacteristic
215C2×#11758222C2311yescharacteristic
216C2×#11758222C2311yescharacteristic
217C2×#11758222C2311yescharacteristic
218C2×#11758224—21no—
219C2×#11758224—21no—
220C2×#11758224—21no—
221C2×#11758224—21no—
222C2×#11758224—21no—
223C2×#11758224C2311yescharacteristic
224C2×#11758224C2311yescharacteristic
225C2×#11758224C2311yescharacteristic
226C2×#11758224C2311yescharacteristic
227#41×D61—24no—
228#41×D61—24no—
229#41×D61—42no—
230#41×D61—42no—
231C22×Dic122—21no—
232C22×Dic122C2311yescharacteristic
233C2×Q8×D61C2311yescharacteristic
234C2×Q8×D61C2311yescharacteristic
235C2×Q8×D61C2311yescharacteristic
236C2×Q8×D61C2311yescharacteristic
237C22×D244—21no—
238C22×C22⋊D61—21no—
239C22×C22⋊D61—21no—
240C22×C22⋊D61—21no—
241C2×D4×D61—21no—
242C2×D4×D61—21no—
243C2×D4×D61—21no—
244C2×D4×D61—21no—
245C2×D4×D61C2311yescharacteristic
246C2×D4×D61C2311yescharacteristic
247C2×D4×D61C2311yescharacteristic
248C2×D4×D61C2311yescharacteristic
249C22×C4×D61—21no—
250C22×C4×D61—21no—
251C22×C4×D61C2311yescharacteristic
252#14519810—24no—
253#14519809—42no—
254#14519806—24no—
255#14519806—24no—
256#14519804—42no—
257#14519801—24no—
258#14519801—24no—
259#14519800—24no—
260#14519799—24no—
261#14519798—24no—
262#14519798—24no—
263#14519797—24no—
264#14519797—24no—
265#14519797—24no—
266#14519796—24no—
267#14519796D418yescomplemented
268C2×Dic244C2311yescharacteristic
269C2×Dic244C2311yescharacteristic
270C2×#11758202C2311yescharacteristic
271C2×#11758202C2311yescharacteristic
272C2×#11758202C2311yescharacteristic
273C2×#11758202C2311yescharacteristic
274Q16×D61—24no—
275C2×#11758190C2311yescharacteristic
276C2×#11758190C2311yescharacteristic
277C2×#11758190C2311yescharacteristic
278C2×#11758190C2311yescharacteristic
279C2×#11758190C2311yescharacteristic
280C2×#11758200—24no—
281C2×#11758200C2311yescharacteristic
282C2×#11758200C2311yescharacteristic
283C2×#11758200C2311yescharacteristic
284C2×#11758200C2311yescharacteristic
285C2×#11758200C2311yescharacteristic
286C2×#11758201C2311yescharacteristic
287C2×#11758201C2311yescharacteristic
288C2×#11758201C2311yescharacteristic
289C2×#11758201C2311yescharacteristic
290C2×#11758201C2311yescharacteristic
291SD16×D61—24no—
292SD16×D61—24no—
293SD16×D61—24no—
294SD16×D61—24no—
295C2×D488C2311yescharacteristic
296C2×D488C2311yescharacteristic
297C2×#11758199C2311yescharacteristic
298C2×#11758199C2311yescharacteristic
299C2×#11758199C2311yescharacteristic
300C2×#11758199C2311yescharacteristic
301D8×D61—24no—
302#14519785—24no—
303C2×#11758189C2311yescharacteristic
304C2×#11758189C2311yescharacteristic
305C2×#11758189C2311yescharacteristic
306C22×#92418C2311yescharacteristic
307C22×#92418C2311yescharacteristic
308C2×C8×D61—24no—
309C2×C8×D61C2311yescharacteristic
310C2×C8×D61C2311yescharacteristic
311C2×C8×D61C2311yescharacteristic
312C2×C8×D61C2311yescharacteristic
313C2×C8×D61C2311yescharacteristic
314#14519776—21no—
315#14519776—21no—
316#14519775C2311yescharacteristic
317#14519774C2311yescharacteristic
318#14519773—21no—
319#14519773—21no—
320#14519773C2311yescharacteristic
321#14519766C2311yescharacteristic
322#14519766C2311yescharacteristic
323#14519765C2311yescharacteristic
324#14519763—21no—
325#14519763—21no—
326#14519763—21no—
327#14519763—21no—
328#14519762—21no—
329#14519762—21no—
330#14519762D411yescharacteristic
331#14519761—21no—
332#14519760—21no—
333#14519760—21no—
334#14519760—21no—
335#14519759D411yescharacteristic
336#14519758—21no—
337#14519757C2311yescharacteristic
338#14519756C2311yescharacteristic
339#14519755—21no—
340#14519755—21no—
341#14519755—21no—
342#14519755—21no—
343#14519755—21no—
344#14519755—21no—
345#14519755—21no—
346#14519755—21no—
347#14519755—21no—
348#14519755—21no—
349#14519755—21no—
350#14519755D411yescharacteristic
351#14519754—21no—
352#14519754—21no—
353#14519754—21no—
354#14519754D411yescharacteristic
355#14519753C2311yescharacteristic
356#14519753C2311yescharacteristic
357#14519753C2311yescharacteristic
358#14519752—21no—
359#14519752—21no—
360#14519752C2311yescharacteristic
361#14519752C2311yescharacteristic
362#14519752C2311yescharacteristic
363#14519751—21no—
364#14519751—21no—
365#14519751C2311yescharacteristic
366#14519751C2311yescharacteristic
367#14519751C2311yescharacteristic
368#14519750—21no—
369#14519750—21no—
370#14519750—21no—
371#14519750—21no—
372#14519750—21no—
373#14519750—21no—
374#14519750—21no—
375#14519750—21no—
376#14519750—21no—
377#14519750—21no—
378#14519750—21no—
379#14519750—21no—
380#14519750—21no—
381#14519750D411yescharacteristic
382#14519749—21no—
383#14519749—21no—
384#14519749—21no—
385#14519749—21no—
386#14519749—21no—
387#14519749—21no—
388#14519749—21no—
389#14519749D411yescharacteristic
390#14519748C2311yescharacteristic
391#14519747—21no—
392#14519747—21no—
393#14519747—21no—
394#14519747—21no—
395#14519747—21no—
396#14519747D411yescharacteristic
397#14519746—21no—
398#14519745—21no—
399#14519745—21no—
400#14519745—21no—
401#14519745D411yescharacteristic
402C4×Dic122C2311yescharacteristic
403C4×Dic122C2311yescharacteristic
404#14519742C2311yescharacteristic
405#14519742C2311yescharacteristic
406C4×D244C2311yescharacteristic
407D4×Dic61C2311yescharacteristic
408D4×Dic61C2311yescharacteristic
409#14519739—21no—
410#14519739—21no—
411#14519739—21no—
412#14519739—21no—
413C4×C22⋊D61—21no—
414C4×C22⋊D61—21no—
415C4×C22⋊D61C2311yescharacteristic
416C4×C22⋊D61C2311yescharacteristic
417#14519737—21no—
418#14519737—21no—
419#14519737—21no—
420#14519737—21no—
421#14519737—21no—
422#14519737—21no—
423#14519734C2311yescharacteristic
424#14519733—21no—
425#14519733—21no—
426C2×#11758196—21no—
427C2×#11758196—21no—
428C2×#11758196—21no—
429C4⋊C4×D61—21no—
430C4⋊C4×D61C2311yescharacteristic
431C4⋊C4×D61C2311yescharacteristic
432C2×#11758198—21no—
433C2×#11758198—21no—
434C2×#11758198—21no—
435C22⋊C4×D61—21no—
436C22⋊C4×D61—21no—
437#14519709C2311yescharacteristic
438#14519708C2311yescharacteristic
439#14519708C2311yescharacteristic
440C4⋊#92418C2311yescharacteristic
441#14519706C2311yescharacteristic
442#14519706C2311yescharacteristic
443#14519702C2311yescharacteristic
444#14519702C2311yescharacteristic
445#14519702C2311yescharacteristic
446#14519701C2311yescharacteristic
447#14519701C2311yescharacteristic
448#14519701C2311yescharacteristic
449#14519700C2311yescharacteristic
450#14519700C2311yescharacteristic
451#14519700C2311yescharacteristic
452#14519699C2311yescharacteristic
453#14519699C2311yescharacteristic
454#14519699C2311yescharacteristic
455#14519698C2311yescharacteristic
456#14519698C2311yescharacteristic
457#14519698C2311yescharacteristic
458#14519697C2311yescharacteristic
459#14519697C2311yescharacteristic
460#14519697C2311yescharacteristic
461C22⋊#92418C2311yescharacteristic
462C22⋊#92418C2311yescharacteristic
463#14519689C2311yescharacteristic
464#14519689C2311yescharacteristic
465#14519689C2311yescharacteristic
466#14519689C2311yescharacteristic
467#14519687C2311yescharacteristic
468C4×#92418C2311yescharacteristic
469C8×Dic61C2311yescharacteristic
470C2×#41×C61C2311yescharacteristic
471C2×#41×C61C2311yescharacteristic
472C2×#41×C61C2311yescharacteristic
473C22×D4×C61C2311yescharacteristic
474AGL(1,ℤ/8)×C61—24no—
475#135×C61—24no—
476C2×Q16×C61C2311yescharacteristic
477C2×Q16×C61C2311yescharacteristic
478C2×SD16×C61C2311yescharacteristic
479C2×SD16×C61C2311yescharacteristic
480C2×SD16×C61C2311yescharacteristic
481C2×SD16×C61C2311yescharacteristic
482C2×SD16×C61C2311yescharacteristic
483C2×D8×C61C2311yescharacteristic
484C2×D8×C61C2311yescharacteristic
485C2×M16×C61C2311yescharacteristic
486C22×C8×C61C2311yescharacteristic
487C4⋊Q8×C61C2311yescharacteristic
488#124×C61C2311yescharacteristic
489#123×C61—21no—
490#123×C61—21no—
491#123×C61—21no—
492C22⋊Q8×C61C2311yescharacteristic
493C22⋊Q8×C61C2311yescharacteristic
494C22⋊Q8×C61C2311yescharacteristic
495#121×C61—21no—
496#121×C61—21no—
497#121×C61C2311yescharacteristic
498#120×C61—21no—
499C4×D4×C61C2311yescharacteristic
500C4×D4×C61C2311yescharacteristic
501C4×D4×C61C2311yescharacteristic
502C2×C4⋊C4×C61—21no—
503C2×C22⋊C4×C61—21no—
504#106×C61C2311yescharacteristic
505C4⋊C8×C61C2311yescharacteristic
506#103×C61C2311yescharacteristic
507#103×C61C2311yescharacteristic
508#103×C61C2311yescharacteristic
509#102×C61C2311yescharacteristic
510#102×C61C2311yescharacteristic
511#102×C61C2311yescharacteristic
512C22⋊C8×C61C2311yescharacteristic
513C22⋊C8×C61C2311yescharacteristic
514#97×C61C2311yescharacteristic
515C24×C61—21no—
516C23×D61—21no—
517C23×D61—21no—
518C23×D61—21no—
519C23×D61—21no—
520C23×D61C2×D411yescharacteristic
521#41×C61—22no—
522#41×C61—22no—
523#41×C61—22no—
524#41×C61—41no—
525#41×C61—41no—
526#41×C61—41no—
527C2×Q8×C61C2411yescharacteristic
528C2×Q8×C61C2411yescharacteristic
529C2×Q8×C61C2411yescharacteristic
530C2×D4×C61—22no—
531C2×D4×C61—21no—
532C2×D4×C61—21no—
533C2×D4×C61—21no—
534C2×D4×C61—21no—
535C2×D4×C61—21no—
536C2×D4×C61—41no—
537C2×D4×C61C2×D411yescharacteristic
538C2×D4×C61C2411yescharacteristic
539C2×D4×C61C2411yescharacteristic
540C2×D4×C61C2411yescharacteristic
541C22×C4×C61—21no—
542C22×C4×C61—21no—
543C22×C4×C61—21no—
544C22×C4×C61—21no—
545C22×C4×C61—21no—
546C22×C4×C61C2411yescharacteristic
547C22×C4×C61C2411yescharacteristic
548C2×C22⋊D61—21no—
549C2×C22⋊D61—21no—
550C2×C22⋊D61—21no—
551C2×C22⋊D61—21no—
552C2×C22⋊D61—21no—
553C2×C22⋊D61—21no—
554C2×C22⋊D61—21no—
555C2×C22⋊D61—21no—
556C2×C22⋊D61—21no—
557C2×C22⋊D61—21no—
558C2×C22⋊D61—21no—
559C2×C22⋊D61—21no—
560C2×C22⋊D61—21no—
561C2×C22⋊D61—21no—
562C2×C22⋊D61—21no—
563C2×C22⋊D61—21no—
564C2×C22⋊D61—21no—
565C2×C22⋊D61—44no—
566C2×C22⋊D61—44no—
567C2×C22⋊D61—82no—
568C2×C22⋊D61C2×D411yescharacteristic
569C2×C22⋊D61C2×D411yescharacteristic
570C2×C22⋊D61C2×D411yescharacteristic
571C2×C22⋊D61C2×D411yescharacteristic
572C22×Dic61—21no—
573C22×Dic61—21no—
574C22×Dic61—21no—
575C22×Dic61—21no—
576C22×Dic61—21no—
577C22×Dic61—21no—
578C22×Dic61—21no—
579C22×Dic61C2×D411yescharacteristic
580#11758226—22no—
581#11758226—22no—
582#11758226—22no—
583#11758226—22no—
584Q8×D61—22no—
585Q8×D61—22no—
586Q8×D61—22no—
587Q8×D61—22no—
588Q8×D61—22no—
589Q8×D61—41no—
590Q8×D61—41no—
591Q8×D61—41no—
592#11758224—22no—
593#11758224—22no—
594#11758224—22no—
595#11758224—22no—
596#11758224—41no—
597#11758224—41no—
598#11758224—44no—
599#11758224—44no—
600#11758224—44no—
601#11758224—44no—
602#11758224—44no—
603#11758224C2×D414yes—
604#11758224C2×D414yescomplemented
605D4×D61—22no—
606D4×D61—22no—
607D4×D61—22no—
608D4×D61—22no—
609D4×D61—22no—
610D4×D61—41no—
611D4×D61—41no—
612D4×D61—41no—
613D4×D61—44no—
614D4×D61—44no—
615D4×D61—44no—
616D4×D61—82no—
617#11758222—22no—
618#11758222—22no—
619#11758222—22no—
620#11758222—22no—
621#11758222—22no—
622#11758222—41no—
623#11758222—41no—
624#11758222—41no—
625#11758222—44no—
626#11758222—44no—
627#11758222—44no—
628C2×D244—21no—
629C2×D244—21no—
630C2×D244—21no—
631C2×D244—21no—
632C2×D244—21no—
633C2×D244—21no—
634C2×D244—21no—
635C2×D244—82no—
636C2×D244C2×D411yescharacteristic
637C2×D244C2×D411yescharacteristic
638C2×D244C2411yescharacteristic
639C2×D244C2411yescharacteristic
640C2×D244C2411yescharacteristic
641C2×C4×D61—22no—
642C2×C4×D61—22no—
643C2×C4×D61—21no—
644C2×C4×D61—21no—
645C2×C4×D61—21no—
646C2×C4×D61—21no—
647C2×C4×D61—21no—
648C2×C4×D61—21no—
649C2×C4×D61—21no—
650C2×C4×D61—21no—
651C2×C4×D61—21no—
652C2×C4×D61—21no—
653C2×C4×D61—21no—
654C2×C4×D61—44no—
655C2×C4×D61—44no—
656C2×C4×D61C2×D411yescharacteristic
657C2×C4×D61C2×D411yescharacteristic
658C2×C4×D61C2411yescharacteristic
659C2×C4×D61C2411yescharacteristic
660C2×C4×D61C2411yescharacteristic
661C2×Dic122—22no—
662C2×Dic122—21no—
663C2×Dic122—21no—
664C2×Dic122—21no—
665C2×Dic122—21no—
666C2×Dic122—21no—
667C2×Dic122—41no—
668C2×Dic122—44no—
669C2×Dic122C2×D411yescharacteristic
670C2×Dic122C2411yescharacteristic
671C2×Dic122C2411yescharacteristic
672C2×Dic122C2411yescharacteristic
673Q16×C61—22no—
674Q16×C61—41no—
675SD16×C61—22no—
676SD16×C61—22no—
677SD16×C61—22no—
678SD16×C61—22no—
679SD16×C61—41no—
680D8×C61—22no—
681D8×C61C2×D414yescomplemented
682M16×C61—22no—
683C2×C8×C61—22no—
684C2×C8×C61C2411yescharacteristic
685C2×C8×C61C2411yescharacteristic
686C2×C8×C61C2411yescharacteristic
687C2×C8×C61C2411yescharacteristic
688C4⋊C4×C61—21no—
689C4⋊C4×C61—21no—
690C4⋊C4×C61—21no—
691C4⋊C4×C61—21no—
692C4⋊C4×C61—21no—
693C4⋊C4×C61C2×D411yescharacteristic
694C4⋊C4×C61C2411yescharacteristic
695C4⋊C4×C61C2411yescharacteristic
696C22⋊C4×C61—21no—
697C22⋊C4×C61—21no—
698C22⋊C4×C61—21no—
699C22⋊C4×C61—21no—
700C22⋊C4×C61—21no—
701C22⋊C4×C61—21no—
702C22⋊C4×C61—21no—
703C22⋊C4×C61—21no—
704C22⋊C4×C61C2×D411yescharacteristic
705C22⋊C4×C61C2×D411yescharacteristic
706C42×C61C2411yescharacteristic
707C22⋊Dic61—21no—
708C22⋊Dic61—21no—
709C22⋊Dic61—21no—
710C22⋊Dic61—21no—
711C22⋊Dic61C2×D411yescharacteristic
712C22⋊Dic61C2×D411yescharacteristic
713#11758202—22no—
714#11758202—22no—
715#11758202—22no—
716#11758202—41no—
717#11758201—22no—
718#11758201—22no—
719#11758201—22no—
720#11758201—41no—
721#11758201—41no—
722#11758200—22no—
723#11758200—22no—
724#11758200—22no—
725#11758200C2×D414yescomplemented
726#11758200C2×D414yescomplemented
727#11758199—22no—
728#11758199—22no—
729#11758199—22no—
730#11758199—41no—
731#11758198—21no—
732#11758198—21no—
733#11758198—21no—
734#11758198—21no—
735#11758198—21no—
736#11758198—21no—
737#11758198—21no—
738#11758198—21no—
739#11758198—21no—
740#11758198—21no—
741#11758198—21no—
742#11758198—21no—
743#11758198—21no—
744#11758198—21no—
745#11758198—21no—
746#11758198—21no—
747#11758198C2×D411yescharacteristic
748#11758198C2×D411yescharacteristic
749#11758198C2×D411yescharacteristic
750#11758198C2×D411yescharacteristic
751#11758198C2×D411yescharacteristic
752#11758198C2×D411yescharacteristic
753C4⋊Dic61—21no—
754C4⋊Dic61C2×D411yescharacteristic
755C4⋊Dic61C2411yescharacteristic
756C4⋊Dic61C2411yescharacteristic
757#11758196—21no—
758#11758196—21no—
759#11758196—21no—
760#11758196—21no—
761#11758196—21no—
762#11758196—21no—
763#11758196—21no—
764#11758196—21no—
765#11758196—21no—
766#11758196—21no—
767#11758196—21no—
768#11758196—21no—
769#11758196C2×D411yescharacteristic
770#11758196C2×D411yescharacteristic
771#11758196C2×D411yescharacteristic
772#11758196C2×D411yescharacteristic
773C4×Dic61—21no—
774C4×Dic61—21no—
775C4×Dic61—21no—
776C4×Dic61—21no—
777C4×Dic61C2411yescharacteristic
778C2×#92418—22no—
779C2×#92418—22no—
780C2×#92418C2411yescharacteristic
781C2×#92418C2411yescharacteristic
782C2×#92418C2411yescharacteristic
783C2×#92418C2411yescharacteristic
784Dic244—22no—
785Dic244C2×D414yescomplemented
786D488—22no—
787D488—41no—
788#11758190—22no—
789#11758190—22no—
790#11758190—22no—
791#11758190—22no—
792#11758190—41no—
793#11758189—22no—
794#11758189—22no—
795#11758189—22no—
796C8×D61—22no—
797C8×D61—22no—
798C8×D61—22no—
799C8×D61—22no—
800C8×D61C2×D414yescomplemented
801C23×C61—21no—
802C23×C61—21no—
803C23×C61—21no—
804C23×C61—42no—
805C23×C61—81no—
806C23×C61—81no—
807C23×C61C22×D411yescharacteristic
808C23×C61C22×D411yescharacteristic
809C22×D61—22no—
810C22×D61—22no—
811C22×D61—21no—
812C22×D61—21no—
813C22×D61—21no—
814C22×D61—41no—
815C22×D61—42no—
816C22×D61—42no—
817C22×D61—42no—
818C22×D61—42no—
819C22×D61—42no—
820C22×D61—42no—
821C22×D61—81no—
822C22×D61—81no—
823C22×D61—81no—
824C22×D61—81no—
825C22×D61—81no—
826C22×D61—81no—
827C22×D61C22×D411yescharacteristic
828C22×D61C22×D411yescharacteristic
829C22×D61C22×D411yescharacteristic
830Q8×C61—21no—
831Q8×C61—21no—
832Q8×C61—21no—
833Q8×C61—21no—
834Q8×C61—21no—
835Q8×C61—21no—
836D4×C61—21no—
837D4×C61—21no—
838D4×C61—21no—
839D4×C61—21no—
840D4×C61—41no—
841D4×C61—42no—
842D4×C61—42no—
843D4×C61—42no—
844D4×C61—42no—
845D4×C61—81no—
846D4×C61C22×D412yes—
847D4×C61C22×D412yes—
848C2×C4×C61—21no—
849C2×C4×C61—21no—
850C2×C4×C61—21no—
851C2×C4×C61—21no—
852C2×C4×C61—21no—
853C2×C4×C61—21no—
854C2×C4×C61—21no—
855C2×C4×C61—21no—
856C2×C4×C61—21no—
857C2×C4×C61—42no—
858C2×C4×C61—42no—
859C2×C4×C61—42no—
860C2×C4×C61—81no—
861C2×C4×C61—81no—
862C2×C4×C61C22×D411yescharacteristic
863C2×C4×C61C22×D411yescharacteristic
864C2×C4×C61C22×D411yescharacteristic
865C2×C4×C61C22×D411yescharacteristic
866C2×C4×C61C2511yescharacteristic
867C22⋊D61—22no—
868C22⋊D61—24no—
869C22⋊D61—24no—
870C22⋊D61—22no—
871C22⋊D61—22no—
872C22⋊D61—41no—
873C22⋊D61—42no—
874C22⋊D61—42no—
875C22⋊D61—42no—
876C22⋊D61—42no—
877C22⋊D61—42no—
878C22⋊D61—42no—
879C22⋊D61—42no—
880C22⋊D61—42no—
881C22⋊D61—42no—
882C22⋊D61—42no—
883C22⋊D61—81no—
884C22⋊D61—81no—
885C22⋊D61—81no—
886C22⋊D61—81no—
887C22⋊D61—81no—
888C2×Dic61—21no—
889C2×Dic61—21no—
890C2×Dic61—24no—
891C2×Dic61—22no—
892C2×Dic61—24no—
893C2×Dic61—21no—
894C2×Dic61—21no—
895C2×Dic61—21no—
896C2×Dic61—42no—
897C2×Dic61—42no—
898C2×Dic61—42no—
899C2×Dic61—81no—
900C2×Dic61—81no—
901C2×Dic61C22×D411yescharacteristic
902C2×Dic61C22×D411yescharacteristic
903C2×Dic61C22×D411yescharacteristic
904C2×Dic61C22×D411yescharacteristic
905C2×Dic61C22×D411yescharacteristic
906D244—22no—
907D244—22no—
908D244—21no—
909D244—21no—
910D244—21no—
911D244—21no—
912D244—21no—
913D244—21no—
914D244—42no—
915D244—42no—
916D244—42no—
917D244—81no—
918D244—81no—
919D244—81no—
920D244—81no—
921C4×D61—22no—
922C4×D61—21no—
923C4×D61—21no—
924C4×D61—21no—
925C4×D61—21no—
926C4×D61—22no—
927C4×D61—42no—
928C4×D61—42no—
929C4×D61—42no—
930C4×D61—42no—
931C4×D61—42no—
932C4×D61—42no—
933C4×D61—42no—
934C4×D61—42no—
935C4×D61—42no—
936C4×D61—81no—
937C4×D61—81no—
938C4×D61C22×D412yes—
939C4×D61H(5,𝔽2)12yes—
940Dic122—21no—
941Dic122—21no—
942Dic122—22no—
943Dic122—21no—
944Dic122—21no—
945Dic122—42no—
946Dic122—42no—
947Dic122—42no—
948Dic122—42no—
949Dic122—42no—
950Dic122C22×D412yes—
951Dic122C22×D412yes—
952C8×C61—21no—
953C8×C61—21no—
954C8×C61—21no—
955C8×C61C22×D412yes—
956#92418—21no—
957#92418—21no—
958#92418—21no—
959#92418C22×D412yes—
960#61055—611nomaximal, Sylow
961C22×C61—21no—
962C22×C61—21no—
963C22×C61—22no—
964C22×C61—22no—
965C22×C61—21no—
966C22×C61—21no—
967C22×C61—21no—
968C22×C61—21no—
969C22×C61—41no—
970C22×C61—41no—
971C22×C61—41no—
972C22×C61—41no—
973C22×C61—41no—
974C22×C61—41no—
975C22×C61—41no—
976C22×C61—162no—
977C22×C61C23×D411yescharacteristic
978C2×D61—21no—
979C2×D61—21no—
980C2×D61—21no—
981C2×D61—21no—
982C2×D61—21no—
983C2×D61—21no—
984C2×D61—21no—
985C2×D61—44no—
986C2×D61—41no—
987C2×D61—41no—
988C2×D61—41no—
989C2×D61—41no—
990C2×D61—41no—
991C2×D61—41no—
992C2×D61—41no—
993C2×D61—41no—
994C2×D61—41no—
995C2×D61—84no—
996C2×D61—84no—
997C2×D61—162no—
998C2×D61—162no—
999C2×D61D4212yes—
1000C2×D61#57712yescomplemented
1001C4×C61—21no—
1002C4×C61—21no—
1003C4×C61—21no—
1004C4×C61—21no—
1005C4×C61—41no—
1006C4×C61—41no—
1007C4×C61—41no—
1008C4×C61—41no—
1009C4×C61—41no—
1010C4×C61C23×D411yescharacteristic
1011C4×C61C2×H(5,𝔽2)11yescharacteristic
1012Dic61—21no—
1013Dic61—21no—
1014Dic61—22no—
1015Dic61—22no—
1016Dic61—21no—
1017Dic61—21no—
1018Dic61—41no—
1019Dic61—41no—
1020Dic61—41no—
1021Dic61D4212yes—
1022C2×#577—611no—
1023C22×#135—611no—
1024#3489—611no—
1025#3488—611no—
1026#3284—611no—
1027#3284—611no—
1028#3282—611no—
1029#3282—611no—
1030#3282—611no—
1031#3282—611no—
1032D4×SD16—611no—
1033D4×SD16—611no—
1034#3271—611no—
1035#3271—611no—
1036#3270—611no—
1037#3270—611no—
1038#3267—611no—
1039#3267D6111yescharacteristic, complemented
1040#3264—611no—
1041#3264—611no—
1042#3154—611no—
1043#3060—611no—
1044C2×#465—611no—
1045#3046—611no—
1046#3045—611no—
1047#3013—611no—
1048#3012—611no—
1049#3007—611no—
1050#3006—611no—
1051#2952—611no—
1052#2929—611no—
1053C2×C61—41no—
1054C2×C61—42no—
1055C2×C61—42no—
1056C2×C61—41no—
1057C2×C61—81no—
1058C2×C61C2×D4211yescharacteristic
1059C2×C61C2×#57711yescharacteristic
1060C2×C61#358411yescharacteristic
1061D61—22no—
1062D61—22no—
1063D61—41no—
1064D61—81no—
1065D61—81no—
1066D61—81no—
1067C2×2−1+4—611no—
1068C2×H(5,𝔽2)—611no—
1069C22×#41—611no—
1070C22×#41—611no—
1071#577—1228no—
1072C2×#137—611no—
1073C2×#137—611no—
1074C2×#137—611no—
1075C2×#137—611no—
1076C2×AGL(1,ℤ/8)—611no—
1077C2×AGL(1,ℤ/8)—611no—
1078C2×AGL(1,ℤ/8)—611no—
1079C2×AGL(1,ℤ/8)C2×D6111yescharacteristic, complemented
1080C2×#135—611no—
1081C2×#135—611no—
1082C2×#135—611no—
1083C2×#135—611no—
1084C2×#135—611no—
1085C2×#135—611no—
1086C2×#135—611no—
1087C2×#135—611no—
1088C2×#135—611no—
1089C2×#135—1228no—
1090C2×#135C2×D6111yescharacteristic, complemented
1091C22×Q16—611no—
1092C22×SD16—611no—
1093C22×SD16—611no—
1094C22×SD16—611no—
1095C22×SD16—611no—
1096C22×SD16—611no—
1097C22×D8—611no—
1098C2×#131—611no—
1099C23×C8—611no—
1100#550—611no—
1101#550—611no—
1102D4×Q8—611no—
1103D4×Q8—611no—
1104#548—611no—
1105#548—611no—
1106#548—611no—
1107#548—611no—
1108#547—611no—
1109#547—1221no—
1110#547—1221no—
1111#547C2×D6111yescharacteristic, complemented
1112#546—611no—
1113#546—611no—
1114#546—611no—
1115#546—1221no—
1116#546—1221no—
1117#546—1221no—
1118#546—1221no—
1119#546C2×D6111yescharacteristic, complemented
1120D42—611no—
1121D42—611no—
1122D42—1221no—
1123D42—1221no—
1124#537—611no—
1125#537—611no—
1126#537—1221no—
1127#537—1221no—
1128#536—611no—
1129#536—1221no—
1130#535—611no—
1131#535—1221no—
1132#525—611no—
1133#525—1221no—
1134#525—1221no—
1135C2×C22⋊Q8—611no—
1136C2×C22⋊Q8—1221no—
1137C2×#121—611no—
1138C2×#121—1221no—
1139#520—611no—
1140#520—611no—
1141#497—611no—
1142#497C2×D6111yescharacteristic, complemented
1143#496—611no—
1144#496—611no—
1145#495—611no—
1146#495—611no—
1147#492—611no—
1148#492—611no—
1149#470—611no—
1150#470C2×D6111yescharacteristic, complemented
1151#469—611no—
1152#469—611no—
1153#465—611no—
1154#465—611no—
1155#465—611no—
1156#465—611no—
1157#465—611no—
1158#465—611no—
1159#465—611no—
1160#465—611no—
1161#465—611no—
1162#465—611no—
1163#465—611no—
1164#465C2×D6111yescharacteristic, complemented
1165#464—611no—
1166#464—611no—
1167#464—611no—
1168#464—611no—
1169#463—611no—
1170#463—611no—
1171#463—611no—
1172#463C2×D6111yescharacteristic, complemented
1173#462—611no—
1174#462—611no—
1175#461—611no—
1176#461C2×D6111yescharacteristic, complemented
1177#460—611no—
1178#460—611no—
1179#459—611no—
1180#459—611no—
1181#452—611no—
1182#452—611no—
1183#452—611no—
1184#452—611no—
1185#452—611no—
1186#452—611no—
1187#452C2×D6111yescharacteristic, complemented
1188#452C2×D6111yescharacteristic, complemented
1189#451—611no—
1190#451—611no—
1191#451—611no—
1192#451—611no—
1193#450—611no—
1194#450—611no—
1195#450—611no—
1196#450C2×D6111yescharacteristic, complemented
1197#449—611no—
1198#449—611no—
1199#449—611no—
1200#449—611no—
1201#449—611no—
1202#449—611no—
1203#449—611no—
1204#449C2×D6111yescharacteristic, complemented
1205#448—611no—
1206#448—611no—
1207#448—611no—
1208#448—611no—
1209#447—611no—
1210#447—611no—
1211#447—611no—
1212#447—611no—
1213#442—611no—
1214#442C2×D6111yescharacteristic, complemented
1215#441—611no—
1216#441—611no—
1217C4×SD16—611no—
1218C4×SD16—611no—
1219C4×SD16—611no—
1220C4×SD16—611no—
1221#435—611no—
1222#435—611no—
1223#435—611no—
1224#435C2×D6111yescharacteristic, complemented
1225C8×D4—611no—
1226C8×D4—611no—
1227C8×D4—611no—
1228C8×D4—611no—
1229C2×#106—611no—
1230#424—611no—
1231#417—611no—
1232#417—611no—
1233#417—611no—
1234#417—611no—
1235C2×#103—611no—
1236C2×#102—611no—
1237#408—611no—
1238#407—611no—
1239#405—611no—
1240C61#6105511yescharacteristic, complemented, Sylow
12412−1+4—1224no—
12422−1+4—2442no—
1243H(5,𝔽2)—1224no—
1244H(5,𝔽2)—2442no—
1245C2×#41—611no—
1246C2×#41—611no—
1247C2×#41—611no—
1248C2×#41—611no—
1249C2×#41—611no—
1250C2×#41—611no—
1251C2×#41—611no—
1252C2×#41—611no—
1253C2×#41—611no—
1254C2×#41—611no—
1255C2×#41—1221no—
1256C2×#41—1221no—
1257C2×#41—1221no—
1258C2×#41—1221no—
1259C2×#41—1221no—
1260C2×#41—1221no—
1261C2×#41—1221no—
1262C2×#41—1221no—
1263C2×#41—1224no—
1264C2×#41—1224no—
1265C2×#41—2442no—
1266C2×#41—2442no—
1267C2×#41C22×D6111yescharacteristic
1268C2×#41C22×D6111yescharacteristic
1269C2×#41C22×D6111yescharacteristic
1270C22×Q8—611no—
1271C22×Q8—611no—
1272C22×Q8—611no—
1273C22×Q8—611no—
1274C22×Q8—611no—
1275C22×Q8—1221no—
1276C22×D4—611no—
1277C22×D4—611no—
1278C22×D4—611no—
1279C22×D4—611no—
1280C22×D4—1221no—
1281C22×D4—1221no—
1282C22×D4—1221no—
1283C22×D4—1221no—
1284C22×D4—1221no—
1285C22×D4—1221no—
1286C22×D4—1221no—
1287C22×D4—1221no—
1288C22×D4C22×D6111yescharacteristic
1289C23×C4—611no—
1290C23×C4—1221no—
1291C23×C4—1221no—
1292#137—1224no—
1293#137—1224no—
1294#137—1224no—
1295#137—2442no—
1296AGL(1,ℤ/8)—24no—
1297AGL(1,ℤ/8)—1224no—
1298AGL(1,ℤ/8)—1224no—
1299AGL(1,ℤ/8)—2442no—
1300#135—24no—
1301#135—618no—
1302#135—1224no—
1303#135—1224no—
1304#135—1224no—
1305#135—1224no—
1306#135—1224no—
1307#135—1224no—
1308#135—1224no—
1309#135—1224no—
1310C2×Q16—611no—
1311C2×Q16—611no—
1312C2×Q16—611no—
1313C2×Q16—611no—
1314C2×Q16—611no—
1315C2×Q16—611no—
1316C2×Q16—1224no—
1317C2×Q16C22×D6111yescharacteristic
1318C2×Q16C22×D6111yescharacteristic
1319C2×SD16—611no—
1320C2×SD16—611no—
1321C2×SD16—611no—
1322C2×SD16—611no—
1323C2×SD16—611no—
1324C2×SD16—611no—
1325C2×SD16—611no—
1326C2×SD16—611no—
1327C2×SD16—611no—
1328C2×SD16—611no—
1329C2×SD16—611no—
1330C2×SD16—611no—
1331C2×SD16—611no—
1332C2×SD16—611no—
1333C2×SD16—611no—
1334C2×SD16—1224no—
1335C2×SD16—1224no—
1336C2×SD16—1224no—
1337C2×SD16—1224no—
1338C2×SD16—1224no—
1339C2×SD16C22×D6111yescharacteristic
1340C2×SD16C22×D6111yescharacteristic
1341C2×SD16C22×D6111yescharacteristic
1342C2×SD16C22×D6111yescharacteristic
1343C2×SD16C22×D6111yescharacteristic
1344C2×D8—611no—
1345C2×D8—611no—
1346C2×D8—611no—
1347C2×D8—611no—
1348C2×D8—611no—
1349C2×D8—611no—
1350C2×D8—1224no—
1351C2×D8C22×D6111yescharacteristic
1352C2×D8C22×D6111yescharacteristic
1353#131—1224no—
1354C2×M16—611no—
1355C2×M16—611no—
1356C2×M16—611no—
1357C2×M16C22×D6111yescharacteristic
1358C22×C8—611no—
1359C22×C8—611no—
1360C22×C8—611no—
1361C22×C8—611no—
1362C22×C8—611no—
1363C22×C8—611no—
1364C22×C8—611no—
1365C22×C8—1224no—
1366C22×C8C22×D6111yescharacteristic
1367C4⋊Q8—611no—
1368C4⋊Q8—1221no—
1369C4⋊Q8—1221no—
1370C4⋊Q8C22×D6111yescharacteristic
1371#127—611no—
1372#127—611no—
1373#127—1221no—
1374#127—1221no—
1375#124—611no—
1376#124—611no—
1377#124—611no—
1378#124—1221no—
1379#124—1221no—
1380#124—1221no—
1381#124—1221no—
1382#124C22×D6111yescharacteristic
1383#123—21no—
1384#123—21no—
1385#123—21no—
1386#123—611no—
1387#123—611no—
1388#123—1221no—
1389#123—1221no—
1390#123—1221no—
1391#123—1221no—
1392#123—1221no—
1393#123—1221no—
1394#123—1221no—
1395C22⋊Q8—611no—
1396C22⋊Q8—611no—
1397C22⋊Q8—611no—
1398C22⋊Q8—611no—
1399C22⋊Q8—611no—
1400C22⋊Q8—611no—
1401C22⋊Q8—611no—
1402C22⋊Q8—1221no—
1403C22⋊Q8—1221no—
1404C22⋊Q8—1221no—
1405C22⋊Q8—1221no—
1406C22⋊Q8—1221no—
1407C22⋊Q8—1221no—
1408C22⋊Q8—1221no—
1409C22⋊Q8—1221no—
1410C22⋊Q8—1221no—
1411C22⋊Q8—1221no—
1412C22⋊Q8—1221no—
1413C22⋊Q8—1221no—
1414C22⋊Q8—1221no—
1415C22⋊Q8—1221no—
1416C22⋊Q8C22×D6111yescharacteristic
1417C22⋊Q8C22×D6111yescharacteristic
1418C22⋊Q8C22×D6111yescharacteristic
1419#121—21no—
1420#121—21no—
1421#121—611no—
1422#121—611no—
1423#121—611no—
1424#121—611no—
1425#121—611no—
1426#121—611no—
1427#121—611no—
1428#121—611no—
1429#121—611no—
1430#121—1221no—
1431#121—1221no—
1432#121—1221no—
1433#121—1221no—
1434#121—1221no—
1435#121—1221no—
1436#121—1221no—
1437#121—1221no—
1438#121—1221no—
1439#121—1221no—
1440#121—1221no—
1441#121—1221no—
1442#121—1221no—
1443#121—1221no—
1444#121—1221no—
1445#121—1221no—
1446#121—1221no—
1447#121—1221no—
1448#121—1221no—
1449#121—1221no—
1450#121—1221no—
1451#121—1221no—
1452#121—1221no—
1453#121—1221no—
1454#121C22×D6111yescharacteristic
1455#120—21no—
1456#120—611no—
1457#120—611no—
1458#120—1221no—
1459#120—1221no—
1460#120—1221no—
1461#120—1221no—
1462#120—1221no—
1463#120—1221no—
1464#120—1221no—
1465#120—1221no—
1466#120—1221no—
1467C4×Q8—611no—
1468C4×Q8—611no—
1469C4×Q8—611no—
1470C4×Q8—611no—
1471C4×D4—611no—
1472C4×D4—611no—
1473C4×D4—611no—
1474C4×D4—611no—
1475C4×D4—611no—
1476C4×D4—1221no—
1477C4×D4—1221no—
1478C4×D4—1221no—
1479C4×D4—1221no—
1480C4×D4—1221no—
1481C4×D4—1221no—
1482C4×D4—1221no—
1483C4×D4—1221no—
1484C4×D4—1221no—
1485C4×D4—1221no—
1486C4×D4—1221no—
1487C4×D4—1221no—
1488C4×D4C22×D6111yescharacteristic
1489C4×D4C22×D6111yescharacteristic
1490C4×D4C22×D6111yescharacteristic
1491#117—611no—
1492#117—1221no—
1493#117—1221no—
1494C2×C4⋊C4—21no—
1495C2×C4⋊C4—611no—
1496C2×C4⋊C4—611no—
1497C2×C4⋊C4—1221no—
1498C2×C4⋊C4—1221no—
1499C2×C4⋊C4—1221no—
1500C2×C4⋊C4—1221no—
1501C2×C22⋊C4—21no—
1502C2×C22⋊C4—1221no—
1503C2×C22⋊C4—1221no—
1504C2×C22⋊C4—1221no—
1505C2×C22⋊C4—1221no—
1506C2×C22⋊C4—1221no—
1507#106—611no—
1508#106—611no—
1509#106—611no—
1510#106C22×D6111yescharacteristic
1511C4⋊C8—611no—
1512C4⋊C8—611no—
1513C4⋊C8—611no—
1514C4⋊C8C22×D6111yescharacteristic
1515#103—611no—
1516#103—611no—
1517#103—611no—
1518#103—611no—
1519#103—611no—
1520#103—611no—
1521#103—611no—
1522#103—611no—
1523#103—611no—
1524#103C22×D6111yescharacteristic
1525#103C22×D6111yescharacteristic
1526#103C22×D6111yescharacteristic
1527#102—611no—
1528#102—611no—
1529#102—611no—
1530#102—611no—
1531#102—611no—
1532#102—611no—
1533#102—611no—
1534#102—611no—
1535#102—611no—
1536#102C22×D6111yescharacteristic
1537#102C22×D6111yescharacteristic
1538#102C22×D6111yescharacteristic
1539C22⋊C8—611no—
1540C22⋊C8—611no—
1541C22⋊C8—611no—
1542C22⋊C8—611no—
1543C22⋊C8—611no—
1544C22⋊C8—611no—
1545C22⋊C8C22×D6111yescharacteristic
1546C22⋊C8C22×D6111yescharacteristic
1547#97—611no—
1548#97C22×D6111yescharacteristic
1549C4×C8—611no—
1550C4×C8—611no—
1551C24—21no—
1552C24—611no—
1553C24—1221no—
1554C24—1221no—
1555C24—1221no—
1556C24—1221no—
1557#41—22no—
1558#41—22no—
1559#41—22no—
1560#41—41no—
1561#41—41no—
1562#41—41no—
1563#41—614no—
1564#41—614no—
1565#41—1222no—
1566#41—1222no—
1567#41—1222no—
1568#41—1222no—
1569#41—1222no—
1570#41—1222no—
1571#41—1222no—
1572#41—1222no—
1573#41—1222no—
1574#41—1222no—
1575#41—1222no—
1576#41—1222no—
1577#41—1222no—
1578#41—2441no—
1579#41—2441no—
1580#41—2441no—
1581#41—2444no—
1582#41—2444no—
1583#41—2444no—
1584#41—2444no—
1585#41—2444no—
1586#41—2441no—
1587#41—2441no—
1588#41—2444no—
1589#41—2444no—
1590#41—2444no—
1591C2×Q8—611no—
1592C2×Q8—611no—
1593C2×Q8—611no—
1594C2×Q8—611no—
1595C2×Q8—1221no—
1596C2×Q8—1221no—
1597C2×Q8—1221no—
1598C2×Q8—1221no—
1599C2×Q8—1222no—
1600C2×Q8—1222no—
1601C2×Q8—1222no—
1602C2×Q8—1221no—
1603C2×Q8—1222no—
1604C2×Q8—1222no—
1605C2×Q8—1222no—
1606C2×Q8—2441no—
1607C2×Q8—2444no—
1608C2×Q8—2441no—
1609C2×Q8—2441no—
1610C2×Q8—2441no—
1611C2×Q8C23×D6111yescharacteristic
1612C2×Q8C23×D6111yescharacteristic
1613C2×Q8C23×D6111yescharacteristic
1614C2×D4—22no—
1615C2×D4—21no—
1616C2×D4—21no—
1617C2×D4—21no—
1618C2×D4—21no—
1619C2×D4—21no—
1620C2×D4—41no—
1621C2×D4—611no—
1622C2×D4—611no—
1623C2×D4—611no—
1624C2×D4—611no—
1625C2×D4—611no—
1626C2×D4—611no—
1627C2×D4—611no—
1628C2×D4—611no—
1629C2×D4—611no—
1630C2×D4—1221no—
1631C2×D4—1221no—
1632C2×D4—1221no—
1633C2×D4—1221no—
1634C2×D4—1221no—
1635C2×D4—1222no—
1636C2×D4—1222no—
1637C2×D4—1221no—
1638C2×D4—1221no—
1639C2×D4—1221no—
1640C2×D4—1221no—
1641C2×D4—1221no—
1642C2×D4—1221no—
1643C2×D4—1221no—
1644C2×D4—1221no—
1645C2×D4—1222no—
1646C2×D4—1222no—
1647C2×D4—1222no—
1648C2×D4—1221no—
1649C2×D4—1221no—
1650C2×D4—1221no—
1651C2×D4—1221no—
1652C2×D4—1221no—
1653C2×D4—1221no—
1654C2×D4—1221no—
1655C2×D4—1221no—
1656C2×D4—1221no—
1657C2×D4—1221no—
1658C2×D4—1221no—
1659C2×D4—4882no—
1660C2×D4—4882no—
1661C2×D4—4882no—
1662C2×D4—2441no—
1663C2×D4—2441no—
1664C2×D4—2441no—
1665C2×D4—2444no—
1666C2×D4—2444no—
1667C2×D4—2444no—
1668C2×D4—2444no—
1669C2×D4—2444no—
1670C2×D4D4×D6111yescharacteristic
1671C2×D4C23×D6111yescharacteristic
1672C2×D4C23×D6111yescharacteristic
1673C2×D4C23×D6111yescharacteristic
1674C22×C4—21no—
1675C22×C4—21no—
1676C22×C4—21no—
1677C22×C4—21no—
1678C22×C4—21no—
1679C22×C4—611no—
1680C22×C4—611no—
1681C22×C4—611no—
1682C22×C4—611no—
1683C22×C4—611no—
1684C22×C4—611no—
1685C22×C4—1222no—
1686C22×C4—1222no—
1687C22×C4—1221no—
1688C22×C4—1221no—
1689C22×C4—1221no—
1690C22×C4—1221no—
1691C22×C4—1221no—
1692C22×C4—1221no—
1693C22×C4—1221no—
1694C22×C4—1221no—
1695C22×C4—1221no—
1696C22×C4—1221no—
1697C22×C4—1221no—
1698C22×C4—1221no—
1699C22×C4—1221no—
1700C22×C4—1221no—
1701C22×C4—1221no—
1702C22×C4—1221no—
1703C22×C4—1221no—
1704C22×C4—1221no—
1705C22×C4—2444no—
1706C22×C4—2444no—
1707C22×C4C23×D6111yescharacteristic
1708C22×C4C23×D6111yescharacteristic
1709Q16—22no—
1710Q16—41no—
1711Q16—614no—
1712Q16—1222no—
1713Q16—1222no—
1714Q16—1222no—
1715Q16—1222no—
1716Q16—2441no—
1717SD16—22no—
1718SD16—22no—
1719SD16—22no—
1720SD16—22no—
1721SD16—41no—
1722SD16—614no—
1723SD16—614no—
1724SD16—1222no—
1725SD16—1222no—
1726SD16—1222no—
1727SD16—1222no—
1728SD16—1222no—
1729SD16—1222no—
1730SD16—1222no—
1731SD16—1222no—
1732SD16—1222no—
1733SD16—1222no—
1734SD16—2441no—
1735SD16—2441no—
1736SD16—2441no—
1737D8—22no—
1738D8—1222no—
1739D8—1222no—
1740D8—1222no—
1741D8—1222no—
1742D8—2441no—
1743D8—2441no—
1744D8D4×D6114yescomplemented
1745M16—22no—
1746M16—1222no—
1747M16—1222no—
1748M16—1222no—
1749C2×C8—22no—
1750C2×C8—611no—
1751C2×C8—614no—
1752C2×C8—611no—
1753C2×C8—611no—
1754C2×C8—611no—
1755C2×C8—1222no—
1756C2×C8—1222no—
1757C2×C8—1222no—
1758C2×C8—1222no—
1759C2×C8—1222no—
1760C2×C8—1222no—
1761C2×C8C23×D6111yescharacteristic
1762C2×C8C23×D6111yescharacteristic
1763C2×C8C23×D6111yescharacteristic
1764C2×C8C23×D6111yescharacteristic
1765C4⋊C4—21no—
1766C4⋊C4—21no—
1767C4⋊C4—21no—
1768C4⋊C4—21no—
1769C4⋊C4—21no—
1770C4⋊C4—611no—
1771C4⋊C4—611no—
1772C4⋊C4—611no—
1773C4⋊C4—611no—
1774C4⋊C4—611no—
1775C4⋊C4—611no—
1776C4⋊C4—611no—
1777C4⋊C4—1221no—
1778C4⋊C4—1221no—
1779C4⋊C4—1221no—
1780C4⋊C4—1221no—
1781C4⋊C4—1221no—
1782C4⋊C4—1221no—
1783C4⋊C4—1221no—
1784C4⋊C4—1221no—
1785C4⋊C4—1221no—
1786C4⋊C4—1221no—
1787C4⋊C4—1221no—
1788C4⋊C4—1221no—
1789C4⋊C4—1221no—
1790C4⋊C4D4×D6111yescharacteristic
1791C4⋊C4C23×D6111yescharacteristic
1792C4⋊C4C23×D6111yescharacteristic
1793C22⋊C4—21no—
1794C22⋊C4—21no—
1795C22⋊C4—21no—
1796C22⋊C4—21no—
1797C22⋊C4—21no—
1798C22⋊C4—21no—
1799C22⋊C4—21no—
1800C22⋊C4—21no—
1801C22⋊C4—611no—
1802C22⋊C4—611no—
1803C22⋊C4—611no—
1804C22⋊C4—611no—
1805C22⋊C4—611no—
1806C22⋊C4—611no—
1807C22⋊C4—611no—
1808C22⋊C4—611no—
1809C22⋊C4—1221no—
1810C22⋊C4—1221no—
1811C22⋊C4—1221no—
1812C22⋊C4—1221no—
1813C22⋊C4—1221no—
1814C22⋊C4—1221no—
1815C22⋊C4—1221no—
1816C22⋊C4—1221no—
1817C22⋊C4—1221no—
1818C22⋊C4—1221no—
1819C22⋊C4—1221no—
1820C22⋊C4—1221no—
1821C22⋊C4—1221no—
1822C22⋊C4—1221no—
1823C22⋊C4—1221no—
1824C22⋊C4—1221no—
1825C22⋊C4—1221no—
1826C22⋊C4—1221no—
1827C22⋊C4—1221no—
1828C22⋊C4—1221no—
1829C22⋊C4D4×D6111yescharacteristic
1830C22⋊C4D4×D6111yescharacteristic
1831C42—611no—
1832C42—1221no—
1833C42—1221no—
1834C42—1221no—
1835C42—1221no—
1836C42C23×D6111yescharacteristic
1837C23—21no—
1838C23—21no—
1839C23—21no—
1840C23—42no—
1841C23—81no—
1842C23—81no—
1843C23—611no—
1844C23—611no—
1845C23—611no—
1846C23—1222no—
1847C23—1222no—
1848C23—1221no—
1849C23—1221no—
1850C23—1221no—
1851C23—4881no—
1852C23—4881no—
1853C23—4881no—
1854C23—4881no—
1855C23—4881no—
1856C23—4881no—
1857C23—2441no—
1858C23—2442no—
1859C23—2442no—
1860C23—2442no—
1861C23—2442no—
1862C23—2442no—
1863C23—2442no—
1864C23C2×D4×D6111yescharacteristic
1865C23C2×D4×D6111yescharacteristic
1866Q8—21no—
1867Q8—21no—
1868Q8—21no—
1869Q8—21no—
1870Q8—21no—
1871Q8—21no—
1872Q8—612no—
1873Q8—612no—
1874Q8—1222no—
1875Q8—1221no—
1876Q8—1221no—
1877Q8—1221no—
1878Q8—1221no—
1879Q8—2442no—
1880Q8—2442no—
1881Q8—2442no—
1882Q8—2442no—
1883Q8—2442no—
1884D4—21no—
1885D4—21no—
1886D4—21no—
1887D4—21no—
1888D4—41no—
1889D4—42no—
1890D4—42no—
1891D4—42no—
1892D4—42no—
1893D4—81no—
1894D4—1222no—
1895D4—1222no—
1896D4—1222no—
1897D4—1222no—
1898D4—1222no—
1899D4—1224no—
1900D4—1224no—
1901D4—1221no—
1902D4—1221no—
1903D4—1221no—
1904D4—1221no—
1905D4—1221no—
1906D4—1221no—
1907D4—4881no—
1908D4—4881no—
1909D4—4881no—
1910D4—4881no—
1911D4—4881no—
1912D4—4881no—
1913D4—4881no—
1914D4—4881no—
1915D4—4881no—
1916D4—2442no—
1917D4—2442no—
1918D4—2442no—
1919D4—2442no—
1920D4—2441no—
1921D4—2442no—
1922D4—2442no—
1923D4—2442no—
1924D4—2442no—
1925D4—2442no—
1926D4—2442no—
1927D4—2442no—
1928D4—2442no—
1929D4—2442no—
1930D4C2×D4×D6112yes—
1931D4C2×D4×D6112yes—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—42no—
1942C2×C4—42no—
1943C2×C4—42no—
1944C2×C4—81no—
1945C2×C4—81no—
1946C2×C4—611no—
1947C2×C4—612no—
1948C2×C4—612no—
1949C2×C4—611no—
1950C2×C4—611no—
1951C2×C4—611no—
1952C2×C4—611no—
1953C2×C4—1222no—
1954C2×C4—1222no—
1955C2×C4—1222no—
1956C2×C4—1224no—
1957C2×C4—1224no—
1958C2×C4—1221no—
1959C2×C4—1221no—
1960C2×C4—1221no—
1961C2×C4—1221no—
1962C2×C4—1221no—
1963C2×C4—1221no—
1964C2×C4—1221no—
1965C2×C4—1221no—
1966C2×C4—1221no—
1967C2×C4—4881no—
1968C2×C4—4881no—
1969C2×C4—4881no—
1970C2×C4—4881no—
1971C2×C4—2442no—
1972C2×C4—2442no—
1973C2×C4—2442no—
1974C2×C4—2442no—
1975C2×C4—2442no—
1976C2×C4—2442no—
1977C2×C4—2442no—
1978C2×C4—2442no—
1979C2×C4—2442no—
1980C2×C4—2442no—
1981C2×C4—2442no—
1982C2×C4—2442no—
1983C2×C4C2×D4×D6111yescharacteristic
1984C2×C4C2×D4×D6111yescharacteristic
1985C2×C4C2×D4×D6111yescharacteristic
1986C2×C4C2×D4×D6111yescharacteristic
1987C2×C4C24×D6111yescharacteristic
1988C8—21no—
1989C8—21no—
1990C8—21no—
1991C8—612no—
1992C8—1221no—
1993C8—1221no—
1994C8—1221no—
1995C8C2×D4×D6112yes—
1996C22—21no—
1997C22—21no—
1998C22—22no—
1999C22—22no—
2000C22—21no—
2001C22—21no—
2002C22—21no—
2003C22—21no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—41no—
2009C22—41no—
2010C22—41no—
2011C22—162no—
2012C22—612no—
2013C22—612no—
2014C22—1221no—
2015C22—1221no—
2016C22—1221no—
2017C22—1221no—
2018C22—1221no—
2019C22—1221no—
2020C22—1221no—
2021C22—9762no—
2022C22—9762no—
2023C22—4884no—
2024C22—4884no—
2025C22—2444no—
2026C22—2441no—
2027C22—2441no—
2028C22—2441no—
2029C22—2441no—
2030C22—2441no—
2031C22—2441no—
2032C22—2441no—
2033C22—2441no—
2034C22—2441no—
2035C22C22×D4×D6111yescharacteristic
2036C4—21no—
2037C4—21no—
2038C4—21no—
2039C4—21no—
2040C4—41no—
2041C4—41no—
2042C4—41no—
2043C4—41no—
2044C4—41no—
2045C4—612no—
2046C4—1221no—
2047C4—1221no—
2048C4—1222no—
2049C4—1222no—
2050C4—1221no—
2051C4—1221no—
2052C4—2441no—
2053C4—2441no—
2054C4—2441no—
2055C4C22×D4×D6111yescharacteristic
2056C4H(5,𝔽2)×D6111yescharacteristic
2057C2—41no—
2058C2—41no—
2059C2—42no—
2060C2—42no—
2061C2—81no—
2062C2—1222no—
2063C2—1222no—
2064C2—4881no—
2065C2—4881no—
2066C2—4881no—
2067C2—2441no—
2068C2D42×D6111yescharacteristic
2069C2#577×D6111yescharacteristic
2070C2#2146059211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3267C2
socleC22×C61C23×D4
hypercenter#3267D61
hypocenterC61#61055
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. C2×#16840572C2semidirect
2. C2×#135×D61C2semidirect
3. #21459493C2semidirect
4. #21459482C2semidirect
5. #21457547C2semidirect
6. #21457545C2semidirect
7. #21457532C2semidirect
8. #21457524C2semidirect
9. #21457524C2semidirect
10. #21457522C2semidirect
11. #21457518C2semidirect
12. #21457513C2semidirect
13. #21457409C2semidirect
14. #21457401C2semidirect
15. #21457396C2semidirect
16. #21457388C2semidirect
17. #21457344C2semidirect
18. #21457301C2semidirect
19. #21457293C2semidirect
20. #21456294C2semidirect
21. #21455483C2semidirect
22. #465×D61C2semidirect
23. #21455364C2semidirect
24. #21455359C2semidirect
25. #21455138C2semidirect
26. #21455124C2semidirect
27. #21455076C2semidirect
28. #21455068C2semidirect
29. #21454701C2semidirect
30. #21454510C2semidirect
31. C61×#3267C2semidirect
32. C2×#14519824C22semidirect
33. C2×#14519822C22semidirect
35. C2×#41×D61C22semidirect
37. C2×#14519810C22semidirect
38. C2×#14519809C22semidirect
39. C2×#14519806C22semidirect
40. C2×#14519806C22semidirect
41. C2×#14519804C22semidirect
42. C2×#14519801C22semidirect
43. C2×#14519801C22semidirect
44. C2×#14519800C22semidirect
45. C2×#14519799C22semidirect
47. C2×#14519798C22semidirect
48. C2×#14519797C22semidirect
49. C2×#14519797C22semidirect
50. C2×#14519797C22semidirect
52. C2×#14519796C22semidirect
54. C2×Q16×D61C22semidirect
55. C22×#11758200C22semidirect
56. C2×SD16×D61C22semidirect
57. C2×SD16×D61C22semidirect
58. C2×SD16×D61C22semidirect
59. C2×SD16×D61C22semidirect
60. C2×D8×D61C22semidirect
61. C2×#14519785C22semidirect
62. C22×C8×D61C22semidirect
63. #16840433C22semidirect
64. #16840430C22semidirect
65. #16840427C22semidirect
66. #16840425C22semidirect
68. #16840422C22semidirect
69. #16840421C22semidirect
72. #16840411C22semidirect
74. #16840407C22semidirect
79. #16840400C22semidirect
80. #16840400C22semidirect
85. #16840342C22semidirect
86. #16840342C22semidirect
89. #16840337C22semidirect
91. #16840330C22semidirect
97. C22⋊Q8×D61C22semidirect
100. #16840241C22semidirect
101. #16840241C22semidirect
102. #16840155C22semidirect
103. #16840151C22semidirect
104. #16840148C22semidirect
105. #16840147C22semidirect
106. #16840144C22semidirect
107. #16840136C22semidirect
108. #16840133C22semidirect
109. #16840017C22semidirect
110. #16840016C22semidirect
111. #16840015C22semidirect
112. #16839994C22semidirect
113. #16839994C22semidirect
114. #16839994C22semidirect
115. #16839993C22semidirect
116. #16839993C22semidirect
117. #16839993C22semidirect
118. #16839992C22semidirect
119. #16839991C22semidirect
120. #16839990C22semidirect
121. #16839989C22semidirect
122. #16839988C22semidirect
123. #16839987C22semidirect
124. #16839987C22semidirect
125. #16839985C22semidirect
126. #16839981C22semidirect
127. #16839979C22semidirect
128. #16839979C22semidirect
129. #16839977C22semidirect
130. #16839971C22semidirect
131. #16839969C22semidirect
132. #16839965C22semidirect
133. #16839963C22semidirect
134. #16839961C22semidirect
135. #16839957C22semidirect
136. #16839955C22semidirect
137. #16839926C22semidirect
138. #16839924C22semidirect
139. #16839922C22semidirect
140. #16839922C22semidirect
141. #16839921C22semidirect
142. #16839921C22semidirect
143. #16839919C22semidirect
144. #16839917C22semidirect
145. #16839916C22semidirect
146. #16839916C22semidirect
147. #16839914C22semidirect
148. #16839911C22semidirect
149. #16839911C22semidirect
150. #16839909C22semidirect
151. #16839909C22semidirect
152. #16839908C22semidirect
153. #16839908C22semidirect
154. #16839907C22semidirect
155. #16839907C22semidirect
156. #16839905C22semidirect
157. #16839903C22semidirect
158. #16839902C22semidirect
159. #16839902C22semidirect
160. #16839899C22semidirect
161. #16839897C22semidirect
162. #16839897C22semidirect
163. #16839896C22semidirect
164. #16839894C22semidirect
165. #16839874C22semidirect
166. #16839870C22semidirect
167. #16839868C22semidirect
168. #16839853C22semidirect
169. #16839853C22semidirect
170. C4×#11758200C22semidirect
171. C4×#11758200C22semidirect
172. #16839835C22semidirect
173. #16839833C22semidirect
174. #16839831C22semidirect
175. D4×#92418C22semidirect
176. #16839827C22semidirect
177. #16839825C22semidirect
178. #16839825C22semidirect
179. #106×D61C22semidirect
180. #16839787C22semidirect
181. #16839762C22semidirect
182. #16839762C22semidirect
183. #16839760C22semidirect
184. #16839760C22semidirect
185. #103×D61C22semidirect
186. #102×D61C22semidirect
187. #16839727C22semidirect
188. #16839724C22semidirect
189. #16839719C22semidirect
190. C2×AGL(1,ℤ/8)×C61C22semidirect
191. C2×#135×C61C22semidirect
192. C61×#547C22semidirect
193. C61×#546C22semidirect
194. C61×#497C22semidirect
195. C61×#470C22semidirect
196. C61×#465C22semidirect
197. C61×#463C22semidirect
198. C61×#461C22semidirect
199. C61×#452C22semidirect
200. C61×#452C22semidirect
201. C61×#450C22semidirect
202. C61×#449C22semidirect
203. C61×#442C22semidirect
204. C61×#435C22semidirect
267. #14519796D4semidirect
604. #11758224C2×D4semidirect
681. D8×C61C2×D4semidirect
725. #11758200C2×D4semidirect
726. #11758200C2×D4semidirect
785. Dic244C2×D4semidirect
800. C8×D61C2×D4semidirect
1000. C2×D61#577semidirect
1039. #3267D61semidirect
1079. C2×AGL(1,ℤ/8)C2×D61semidirect
1090. C2×#135C2×D61semidirect
1111. #547C2×D61semidirect
1119. #546C2×D61semidirect
1142. #497C2×D61semidirect
1150. #470C2×D61semidirect
1164. #465C2×D61semidirect
1172. #463C2×D61semidirect
1176. #461C2×D61semidirect
1187. #452C2×D61semidirect
1188. #452C2×D61semidirect
1196. #450C2×D61semidirect
1204. #449C2×D61semidirect
1214. #442C2×D61semidirect
1224. #435C2×D61semidirect
1240. C61#61055semidirect
1744. D8D4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168405722
C2×#135×D612
#214594932
#214594822
#214575472
#214575452
#214575322
#214575242
#214575222
#214575182
#214575132
#214574092
#214574012
#214573962
#214573882
#214573442
#214573012
#214572932
#214562942
#214554832
#465×D612
#214553642
#214553592
#214551382
#214551242
#214550762
#214550682
#214547012
#214545102
C61×#32672
#6105561