Finite Group Databasebeta

← #30586875

Subgroups — #30586875

Order 15616.

7226 conjugacy classes of subgroups.

The subgroup lattice has 1540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459252C211yesmaximal, characteristic, complemented
2#21459251C214yesmaximal, complemented
3#21459250C214yesmaximal, complemented
4#21459243C212yesmaximal, complemented
5#21459242C211yesmaximal, characteristic, complemented
6#21459240C214yesmaximal, complemented
7#21459239C214yesmaximal, complemented
8#21459236C211yesmaximal, characteristic, complemented
9#21459235C212yesmaximal, complemented
10#21459229C214yesmaximal, complemented
11#21459227C214yesmaximal, complemented
12#21459223C211yesmaximal, characteristic, complemented
13#21459210C214yesmaximal, complemented
14#21459206C214yesmaximal, complemented
15#21459205C214yesmaximal, complemented
16#21459151C212yesmaximal, complemented
17#21459147C211yesmaximal, characteristic, complemented
18#21459116C214yesmaximal, complemented
19#21459113C214yesmaximal, complemented
20#21459113C214yesmaximal, complemented
21C2×C4×#11758226C211yesmaximal, characteristic, complemented
22C4×#41×D61C212yesmaximal, complemented
23C61×#3461C211yesmaximal, characteristic, complemented
24C22×#11758226C2211yescharacteristic
25C2×#41×D61C2212yes—
26#16840393C2211yescharacteristic, complemented
27#16840392C2214yescomplemented
28#16840390C2212yescomplemented
29#16840389C2214yescomplemented
30#16840387C2214yes—
31#16840386C2214yescomplemented
32#16840385C2214yescomplemented
33#16840385C2214yescomplemented
34#16840384C2214yescomplemented
35#16840384C2214yescomplemented
36#16840383C2214yescomplemented
37#16840382C2218yescomplemented
38#16840381C2214yescomplemented
39#16840378C2218yescomplemented
40#16840373C2214yescomplemented
41#16840372C2214yescomplemented
42#16840371C2218yescomplemented
43#16840370C2214yescomplemented
44#16840368C2214yescomplemented
45#16840367C2214yescomplemented
46#16840365C2214yescomplemented
47#16840364C2218yescomplemented
48#16840363C2214yescomplemented
49#16840360C2218yescomplemented
50#16840360C2218yescomplemented
51#16840359C2214yescomplemented
52#16840358C2218yescomplemented
53#16840356C2218yescomplemented
54#16840353C2218yescomplemented
55#16840352C2214yescomplemented
56#16840351C2218yescomplemented
57#16840351C2218yescomplemented
58#16840349C2214yescomplemented
59#16840348C2218yescomplemented
60#16840346C2218yescomplemented
61#16840345C2218yescomplemented
62#16840343C2211yescharacteristic
63#16840342C2214yes—
64#16840342C2214yes—
65#16840340C2212yes—
66#16840337C2214yescomplemented
67#16840336C2212yescomplemented
68#16840335C2214yescomplemented
69#16840331C2212yescomplemented
70#16840330C2214yescomplemented
71#16840328C2214yescomplemented
72#16840326C2212yescomplemented
73#16840323C2218yes—
74#16840320C2214yes—
75#16840318C2214yescomplemented
76#16840318C2214yescomplemented
77#16840317C2214yescomplemented
78#16840317C2214yescomplemented
79#16840316C2214yescomplemented
80#16840316C2214yescomplemented
81#16840314C2214yescomplemented
82#16840314C2214yescomplemented
83#16840313C2214yes—
84#16840313C2214yescomplemented
85#16840312C2214yescomplemented
86#16840311C2214yes—
87#16840311C2214yescomplemented
88#16840309C2214yescomplemented
89#16840309C2214yescomplemented
90#16840307C2214yes—
91#16840307C2214yescomplemented
92#16840299C2218yescomplemented
93#16840299C2214yescomplemented
94#16840299C2214yescomplemented
95#16840298C2218yescomplemented
96#16840298C2214yescomplemented
97#16840298C2214yescomplemented
98#16840297C2218yescomplemented
99#16840297C2214yescomplemented
100#16840297C2218yescomplemented
101#16840297C2214yescomplemented
102#16840296C2214yescomplemented
103#16840296C2214yescomplemented
104#16840295C2218yescomplemented
105#16840295C2218yescomplemented
106#16840295C2218yescomplemented
107#16840295C2218yescomplemented
108#16840291C2214yescomplemented
109#16840291C2214yescomplemented
110#16840290C2218yescomplemented
111#16840290C2218yescomplemented
112#16840289C2218yescomplemented
113#16840289C2218yescomplemented
114#16840275C2214yescomplemented
115#16840275C2214yescomplemented
116#16840275C2214yescomplemented
117#16840275C2218yescomplemented
118#16840275C2214yescomplemented
119#16840274C2218yescomplemented
120#16840272C2214yescomplemented
121#16840272C2214yescomplemented
122#16840271C2218yescomplemented
123#16840271C2218yescomplemented
124#16840270C2218yescomplemented
125#16840270C2218yescomplemented
126#41×Dic61C2212yescomplemented
127C4×#11758226C2214yescomplemented
128C4×#11758226C2212yescomplemented
129C4×#11758226C2214yescomplemented
130C4×#11758226C2214yescomplemented
131C4×#11758226C2212yescomplemented
132C4×#11758226C2214yescomplemented
133C4×#11758226C2214yescomplemented
134C4×#11758222C2212yescomplemented
135C4×#11758222C2214yescomplemented
136#16840230C2214yescomplemented
137#16840230C2212yescomplemented
138#16840230C2218yescomplemented
139C4×#11758224C2214yescomplemented
140C4×#11758224C2212yescomplemented
141C4×#11758224C2214yescomplemented
142C4×#11758224C2212yescomplemented
143C4×#11758224C2214yescomplemented
144C2×Q8×Dic61C2211yescharacteristic, complemented
145C4×Q8×D61C2212yescomplemented
146C4×Q8×D61C2212yescomplemented
147C2×C4×D244C2212yes—
148C2×C4×D244C2211yescharacteristic, complemented
149C2×#14519739C2212yes—
150C2×#14519739C2211yescharacteristic, complemented
151C4×D4×D61C2214yes—
152C4×D4×D61C2214yes—
153C4×D4×D61C2212yescomplemented
154C4×D4×D61C2212yescomplemented
155C2×#14519735C2211yescharacteristic
156C2×#14519735C2212yescomplemented
157#117×D61C2212yes—
158#117×D61C2214yescomplemented
159C2×C42×D61C2211yescharacteristic
160C2×C42×D61C2214yescomplemented
161C2×C42×D61C2212yescomplemented
162C61×#544C2211yescharacteristic, complemented
163C61×#542C2214yescomplemented
164C61×#541C2214yescomplemented
165C61×#539C2214yescomplemented
166C61×#537C2211yescharacteristic
167C61×#536C2212yescomplemented
168C61×#533C2214yescomplemented
169C61×#529C2214yescomplemented
170C61×#529C2214yescomplemented
171C4×#41×C61C2212yescomplemented
172C2×C4×Q8×C61C2211yescharacteristic, complemented
173C2×#11758226—28no—
174C2×#11758226C2314yes—
175C2×#11758226C2312yes—
176C2×#11758226C2314yes—
177C2×#11758226C2314yes—
178C2×#11758222C2314yes—
179C2×#11758222C2312yes—
180C2×#11758222C2318yes—
181C2×#11758224C2314yes—
182C2×#11758224C2312yes—
183C2×#11758224C2314yes—
184#41×D61—216no—
185C2×Q8×D61C2312yes—
186C22×D244C2312yes—
187C22×D244C2311yescharacteristic
188C2×D4×D61C2314yes—
189C2×D4×D61C2312yes—
190C22×C4×D61C2314yes—
191C22×C4×D61C2312yes—
192C22×C4×D61C2311yescharacteristic
193C22×C4×D61C2311yescharacteristic
194C22×C4×D61C2314yes—
195C22×C4×D61C2314yes—
196C22×C4×D61C2312yes—
197C22×C4×D61C2312yes—
198C22×C4×D61C2311yescharacteristic
199#14519777C2314yes—
200#14519776C2314yes—
201#14519776C2314yes—
202#14519776C2314yes—
203#14519776C2314yes—
204#14519775C2314yes—
205#14519775C2314yes—
206#14519774C2314yes—
207#14519773C2314yes—
208#14519773C2314yes—
209#14519772C2318yes—
210#14519772C2318yes—
211#14519772C2318yes—
212#14519772C2318yes—
213#14519772C2318yes—
214#14519772C2318yes—
215#14519771C2318yes—
216#14519771C2318yes—
217#14519770C2318yes—
218#14519770C2318yes—
219#14519769C2314yes—
220#14519769C2314yes—
221#14519768C2318yes—
222#14519768C2314yes—
223#14519768C2314yes—
224#14519767C2318yes—
225#14519767C2318yes—
226#14519767C2318yes—
227#14519767C2318yes—
228#14519766C2314yes—
229#14519766C2314yes—
230#14519766C2318yes—
231#14519765C2314yes—
232#14519765C2314yes—
233#14519765C2318yes—
234#14519763C2318yes—
235#14519763C2318yes—
236#14519763C2318yes—
237#14519763C2318yes—
238#14519762C2318yes—
239#14519762C2318yes—
240#14519762C2318yes—
241#14519762C2318yes—
242#14519762C2318yes—
243#14519762C2318yes—
244#14519762C2318yes—
245#14519762C2318yes—
246#14519761C2318yes—
247#14519761C2318yes—
248#14519760C2318yes—
249#14519760C2318yes—
250#14519759C2318yes—
251#14519759C2318yes—
252#14519759C2318yes—
253#14519759C2318yes—
254#14519757C2314yes—
255#14519757C2314yes—
256#14519757C2318yes—
257#14519757C2318yes—
258#14519756C2314yes—
259#14519756C2314yes—
260#14519755C2318yes—
261#14519755C2318yes—
262#14519755C2318yes—
263#14519755C2318yes—
264#14519755C2318yes—
265#14519755C2318yes—
266#14519754C2318yes—
267#14519754C2318yes—
268#14519753C2314yes—
269#14519753C2314yes—
270#14519753C2314yes—
271#14519753C2314yes—
272#14519753C2318yes—
273#14519752C2318yes—
274#14519752C2318yes—
275#14519752C2314yes—
276#14519752C2314yes—
277#14519752C2318yes—
278#14519752C2314yes—
279#14519752C2314yes—
280#14519751C2314yes—
281#14519751C2314yes—
282#14519751C2314yes—
283#14519751C2314yes—
284#14519751C2318yes—
285#14519750C2318yes—
286#14519750C2318yes—
287#14519750C2318yes—
288#14519750C2318yes—
289#14519750C2318yes—
290#14519750C2318yes—
291#14519749C2318yes—
292#14519749C2318yes—
293#14519748C2314yes—
294#14519748C2314yes—
295#14519747C2318yes—
296#14519747C2318yes—
297#14519747C2318yes—
298#14519747C2318yes—
299#14519745C2318yes—
300#14519745C2318yes—
301Q8×Dic61C2312yes—
302Q8×Dic61C2312yes—
303Q8×Dic61C2314yes—
304Q8×Dic61C2314yes—
305Q8×Dic61C2314yes—
306C4×Dic122C2314yes—
307C4×Dic122C2312yes—
308C4×Dic122C2312yes—
309C4×Dic122C2314yes—
310C4×Dic122C2314yes—
311#14519742C2314yes—
312#14519742C2312yes—
313#14519742C2314yes—
314#14519742C2312yes—
315#14519742C2314yes—
316#14519742C2318yes—
317#14519742C2318yes—
318C4×D244C2314yes—
319C4×D244C2314yes—
320C4×D244C2312yes—
321C4×D244C2312yes—
322C4×D244C2318yes—
323C4×D244C2318yes—
324C4×D244C2314yes—
325C4×D244C2314yes—
326C4×D244C2318yes—
327C4×D244C2314yes—
328D4×Dic61C2314yes—
329D4×Dic61C2314yes—
330D4×Dic61C2312yes—
331D4×Dic61C2312yes—
332D4×Dic61C2314yes—
333#14519739C2314yes—
334#14519739C2314yes—
335#14519739C2312yes—
336#14519739C2312yes—
337#14519739C2318yes—
338#14519739C2318yes—
339#14519739C2314yes—
340#14519739C2314yes—
341#14519739C2318yes—
342#14519739C2318yes—
343#14519739C2318yes—
344#14519739C2314yes—
345C4×C22⋊D61C2314yes—
346C4×C22⋊D61C2314yes—
347C4×C22⋊D61C2314yes—
348C4×C22⋊D61C2314yes—
349C4×C22⋊D61C2314yes—
350C4×C22⋊D61C2314yes—
351C4×C22⋊D61C2318yes—
352#14519737C2314yes—
353#14519737C2314yes—
354#14519737C2314yes—
355#14519737C2314yes—
356#14519737C2314yes—
357#14519737C2314yes—
358#14519737C2318yes—
359#14519737C2318yes—
360#14519737C2318yes—
361#14519737C2318yes—
362#14519737C2318yes—
363#14519736C2312yes—
364#14519736C2314yes—
365#14519735C2312yes—
366#14519735C2312yes—
367#14519735C2314yes—
368#14519735C2314yes—
369#14519735C2314yes—
370#14519735C2314yes—
371#14519735C2318yes—
372#14519735C2318yes—
373#14519735C2314yes—
374#14519735C2314yes—
375#14519735C2318yes—
376#14519734C2314yes—
377#14519734C2314yes—
378#14519734C2314yes—
379#14519734C2318yes—
380#14519734C2318yes—
381#14519733C2314yes—
382#14519733C2314yes—
383#14519733C2314yes—
384#14519733C2318yes—
385C2×C4⋊Dic61C2311yescharacteristic
386C2×C4⋊Dic61C2312yes—
387C4⋊C4×D61C2312yes—
388C4⋊C4×D61C2312yes—
389C4⋊C4×D61C2314yes—
390C4⋊C4×D61C2314yes—
391C2×#11758198C2312yes—
392C2×#11758198C2312yes—
393C2×#11758198C2312yes—
394C22⋊C4×D61C2314yes—
395C22⋊C4×D61C2314yes—
396C22⋊C4×D61C2314yes—
397C2×C4×Dic61C2311yescharacteristic
398C2×C4×Dic61C2311yescharacteristic
399C2×C4×Dic61C2311yescharacteristic
400C2×C4×Dic61C2312yes—
401C2×C4×Dic61C2312yes—
402C2×C4×Dic61C2314yes—
403C2×C4×Dic61C2314yes—
404C2×C4×Dic61C2314yes—
405C42×D61C2312yes—
406C42×D61C2312yes—
407C42×D61C2312yes—
408C42×D61C2312yes—
409C42×D61C2314yes—
410C42×D61C2314yes—
411C42×D61C2314yes—
412C42×D61C2314yes—
413C42×D61C2314yes—
414C42×D61C2314yes—
415C42×D61C2314yes—
416C42×D61C2314yes—
417C42×D61C2314yes—
418C42×D61C2314yes—
419C42×D61C2314yes—
420C2×#41×C61C2312yes—
421C22×Q8×C61C2311yescharacteristic
422C4⋊Q8×C61C2314yes—
423C4⋊Q8×C61C2314yes—
424#126×C61C2318yes—
425#126×C61C2318yes—
426#125×C61C2318yes—
427#125×C61C2314yes—
428#125×C61C2314yes—
429#124×C61C2314yes—
430#124×C61C2314yes—
431#123×C61C2318yes—
432#123×C61C2318yes—
433C22⋊Q8×C61C2314yes—
434C22⋊Q8×C61C2314yes—
435C22⋊Q8×C61C2318yes—
436C22⋊Q8×C61C2314yes—
437C22⋊Q8×C61C2314yes—
438#121×C61C2314yes—
439#121×C61C2314yes—
440C4×Q8×C61C2312yes—
441C4×Q8×C61C2314yes—
442C4×Q8×C61C2314yes—
443C4×Q8×C61C2312yes—
444C4×Q8×C61C2314yes—
445C4×D4×C61C2314yes—
446C4×D4×C61C2312yes—
447C4×D4×C61C2314yes—
448C4×D4×C61C2312yes—
449C4×D4×C61C2314yes—
450#117×C61C2318yes—
451#117×C61C2312yes—
452#117×C61C2314yes—
453C2×C4⋊C4×C61C2311yescharacteristic
454C2×C4⋊C4×C61C2312yes—
455C2×C42×C61C2314yes—
456C2×C42×C61C2311yescharacteristic
457C2×C42×C61C2312yes—
458C23×D61C2414yes—
459C23×D61C2412yes—
460C23×D61C2411yescharacteristic
461#41×C61—28no—
462C2×Q8×C61—24no—
463C2×Q8×C61C2412yes—
464C2×Q8×C61C2414yes—
465C2×Q8×C61C2414yes—
466C2×D4×C61C2414yes—
467C2×D4×C61C2412yes—
468C2×D4×C61C2414yes—
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2412yes—
471C22×C4×C61C2414yes—
472C22×C4×C61C2414yes—
473C22×C4×C61C2411yescharacteristic
474C22×C4×C61C2412yes—
475C22×C4×C61C2414yes—
476C22×C4×C61C2411yescharacteristic
477C2×C22⋊D61C2414yes—
478C2×C22⋊D61C2414yes—
479C2×C22⋊D61C2414yes—
480C2×C22⋊D61C2418yes—
481C2×C22⋊D61C2418yes—
482C2×C22⋊D61C2418yes—
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2414yes—
485C22×Dic61C2414yes—
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2412yes—
488C22×Dic61C2414yes—
489C22×Dic61C2411yescharacteristic
490#11758226—28no—
491#11758226—216no—
492#11758226—216no—
493#11758226—48no—
494Q8×D61—28no—
495#11758224—216no—
496#11758224—28no—
497#11758224—48no—
498D4×D61—216no—
499D4×D61—28no—
500#11758222—28no—
501#11758222—216no—
502#11758222—416no—
503C2×D244—28no—
504C2×D244—24no—
505C2×D244C2414yes—
506C2×D244C2412yes—
507C2×D244C2418yes—
508C2×D244C2414yes—
509C2×D244C2418yes—
510C2×D244C2418yes—
511C2×D244C2414yes—
512C2×C4×D61—28no—
513C2×C4×D61—216no—
514C2×C4×D61—42no—
515C2×C4×D61—48no—
516C2×C4×D61—44no—
517C2×C4×D61—42no—
518C2×C4×D61—48no—
519C2×C4×D61—44no—
520C2×C4×D61#4118yescomplemented
521C2×C4×D61C2412yes—
522C2×C4×D61C2412yes—
523C2×C4×D61C2414yes—
524C2×C4×D61C2414yes—
525C2×C4×D61C2414yes—
526C2×C4×D61C2414yes—
527C2×C4×D61C2414yes—
528C2×C4×D61C2414yes—
529C2×C4×D61C2414yes—
530C2×C4×D61C2414yes—
531C2×C4×D61C2414yes—
532C2×C4×D61C2412yes—
533C2×C4×D61C2412yes—
534C2×C4×D61C2414yes—
535C2×C4×D61C2414yes—
536C2×C4×D61C2414yes—
537C2×C4×D61C2414yes—
538C2×C4×D61C2414yes—
539C2×C4×D61C2414yes—
540C2×C4×D61C2412yes—
541C2×C4×D61C2412yes—
542C2×Dic122C2414yes—
543C2×Dic122C2412yes—
544C2×Dic122C2414yes—
545C2×Dic122C2418yes—
546C4⋊C4×C61C2414yes—
547C4⋊C4×C61C2418yes—
548C4⋊C4×C61C2412yes—
549C4⋊C4×C61C2414yes—
550C4⋊C4×C61C2412yes—
551C4⋊C4×C61C2414yes—
552C4⋊C4×C61C2418yes—
553C4⋊C4×C61C2418yes—
554C4⋊C4×C61C2414yes—
555C4⋊C4×C61C2414yes—
556C4⋊C4×C61C2418yes—
557C22⋊C4×C61C2414yes—
558C22⋊C4×C61C2414yes—
559C22⋊C4×C61C2414yes—
560C22⋊C4×C61C2418yes—
561C22⋊C4×C61C2418yes—
562C22⋊C4×C61C2418yes—
563C42×C61C2412yes—
564C42×C61C2412yes—
565C42×C61C2414yes—
566C42×C61C2414yes—
567C42×C61C2414yes—
568C42×C61C2414yes—
569C42×C61C2414yes—
570C22⋊Dic61C2414yes—
571C22⋊Dic61C2414yes—
572C22⋊Dic61C2414yes—
573C22⋊Dic61C2418yes—
574#11758198C2414yes—
575#11758198C2414yes—
576#11758198C2414yes—
577#11758198C2414yes—
578#11758198C2414yes—
579#11758198C2414yes—
580#11758198C2418yes—
581#11758198C2418yes—
582#11758198C2418yes—
583#11758198C2418yes—
584#11758198C2418yes—
585#11758198C2418yes—
586#11758198C2418yes—
587#11758198C2418yes—
588#11758198C2418yes—
589#11758198C2418yes—
590#11758198C2418yes—
591C4⋊Dic61C2412yes—
592C4⋊Dic61C2412yes—
593C4⋊Dic61C2414yes—
594C4⋊Dic61C2414yes—
595C4⋊Dic61C2414yes—
596C4⋊Dic61C2418yes—
597C4⋊Dic61C2414yes—
598C4⋊Dic61C2414yes—
599C4⋊Dic61C2418yes—
600#11758196C2414yes—
601#11758196C2414yes—
602#11758196C2414yes—
603#11758196C2414yes—
604#11758196C2414yes—
605#11758196C2414yes—
606#11758196C2418yes—
607#11758196C2418yes—
608#11758196C2418yes—
609#11758196C2418yes—
610#11758196C2418yes—
611#11758196C2418yes—
612C4×Dic61C2411yescharacteristic
613C4×Dic61C2411yescharacteristic
614C4×Dic61C2411yescharacteristic
615C4×Dic61C2411yescharacteristic
616C4×Dic61C2412yes—
617C4×Dic61C2412yes—
618C4×Dic61C2414yes—
619C4×Dic61C2414yes—
620C4×Dic61C2414yes—
621C4×Dic61C2414yes—
622C4×Dic61C2414yes—
623C4×Dic61C2412yes—
624C4×Dic61C2414yes—
625C4×Dic61C2412yes—
626C4×Dic61C2414yes—
627C4×Dic61C2414yes—
628C4×Dic61C2414yes—
629C4×Dic61C2414yes—
630C4×Dic61C2414yes—
631C4×Dic61C2414yes—
632C4×Dic61C2414yes—
633C23×C61C2514yes—
634C23×C61C2511yescharacteristic
635C22×D61—24no—
636C22×D61—28no—
637C22×D61—41no—
638C22×D61—41no—
639C22×D61—44no—
640C22×D61—44no—
641C22×D61—42no—
642C22×D61—42no—
643C22×D61C2×#4114yes—
644C22×D61C2514yes—
645C22×D61C2514yes—
646C22×D61C2512yes—
647Q8×C61—24no—
648Q8×C61—28no—
649Q8×C61—44no—
650D4×C61—28no—
651D4×C61—24no—
652D4×C61—44no—
653C2×C4×C61—24no—
654C2×C4×C61—28no—
655C2×C4×C61—22no—
656C2×C4×C61—28no—
657C2×C4×C61—42no—
658C2×C4×C61—41no—
659C2×C4×C61—44no—
660C2×C4×C61C2×#4114yes—
661C2×C4×C61C2512yes—
662C2×C4×C61C2514yes—
663C2×C4×C61C2514yes—
664C2×C4×C61C2511yescharacteristic
665C2×C4×C61C2514yes—
666C2×C4×C61C2514yes—
667C2×C4×C61C2514yes—
668C2×C4×C61C2512yes—
669C2×C4×C61C2511yescharacteristic
670C22⋊D61—28no—
671C22⋊D61—28no—
672C22⋊D61—28no—
673C22⋊D61—48no—
674C22⋊D61—48no—
675C22⋊D61—48no—
676C2×Dic61—28no—
677C2×Dic61—22no—
678C2×Dic61—28no—
679C2×Dic61—42no—
680C2×Dic61—44no—
681C2×Dic61—41no—
682C2×Dic61C2×#4114yes—
683C2×Dic61C2511yescharacteristic
684C2×Dic61C2512yes—
685C2×Dic61C2514yes—
686C2×Dic61C2514yes—
687C2×Dic61C2514yes—
688C2×Dic61C2514yes—
689C2×Dic61C2511yescharacteristic
690C2×Dic61C2511yescharacteristic
691C2×Dic61C2511yescharacteristic
692D244—216no—
693D244—28no—
694D244—28no—
695D244—24no—
696D244—48no—
697D244—44no—
698D244—48no—
699C4×D61—28no—
700C4×D61—28no—
701C4×D61—24no—
702C4×D61—28no—
703C4×D61—28no—
704C4×D61—28no—
705C4×D61—28no—
706C4×D61—28no—
707C4×D61—24no—
708C4×D61—28no—
709C4×D61—28no—
710C4×D61—44no—
711C4×D61—44no—
712C4×D61—44no—
713C4×D61—44no—
714C4×D61—44no—
715C4×D61—42no—
716C4×D61—44no—
717C4×D61—42no—
718C4×D61C2×#4118yes—
719C4×D61C2×#4118yes—
720Dic122—24no—
721Dic122—28no—
722Dic122—48no—
723Dic122—44no—
724#62686—611nomaximal, Sylow
725C22×C61—21no—
726C22×C61—21no—
727C22×C61—24no—
728C22×C61—24no—
729C22×C61—24no—
730C22×C61C22×#4112yes—
731C22×C61C2611yescharacteristic
732C2×D61—22no—
733C2×D61—22no—
734C2×D61—24no—
735C2×D61—24no—
736C2×D61—24no—
737C2×D61—24no—
738C2×D61—24no—
739C2×D61—24no—
740C2×D61—44no—
741C2×D61—416no—
742C2×D61—48no—
743C2×D61C22×#4114yes—
744C4×C61—24no—
745C4×C61—24no—
746C4×C61—24no—
747C4×C61—24no—
748C4×C61—22no—
749C4×C61—24no—
750C4×C61—21no—
751C4×C61C22×#4114yes—
752C4×C61#58512yes—
753Dic61—24no—
754Dic61—24no—
755Dic61—24no—
756Dic61—24no—
757Dic61—22no—
758Dic61—21no—
759Dic61C22×#4112yes—
760Dic61C22×#4112yes—
761Dic61#58512yes—
762#3461—614no—
763#3461—612no—
764#3461—614no—
765#3461—611no—
766#3461D6111yescharacteristic, complemented
767#3460—611no—
768#3460—614no—
769#3460—611no—
770#3460—614no—
771#3460—612no—
772#3459—614no—
773#3459—614no—
774#3458—611no—
775#3455—614no—
776#3455—614no—
777#3455—614no—
778#3449—611no—
779#3449—612no—
780#3444—614no—
781#3444—614no—
782#3444—614no—
783C2×C4×#41—612no—
784C2×C4×#41—611no—
785C2×C61—22no—
786C2×C61—44no—
787C2×C61C23×#4111yescharacteristic
788C2×C61C2×#58511yescharacteristic
789C2×C61C2×#58511yescharacteristic
790D61—24no—
791D61—44no—
792D61—44no—
793C22×#41—612no—
794C22×#41—611no—
795#544—614no—
796#544—614no—
797#544—612no—
798#544—611no—
799#544C2×D6111yescharacteristic, complemented
800#543—614no—
801#542—614no—
802#542—618no—
803#542—614no—
804#542—618no—
805#542—614no—
806#542—614no—
807#542—614no—
808#542—614no—
809#542—614no—
810#542C2×D6114yescomplemented
811#541—614no—
812#541—618no—
813#541—614no—
814#541—614no—
815#541C2×D6114yescomplemented
816#540—614no—
817#540—618no—
818#540—614no—
819#540—614no—
820#540—614no—
821#539—618no—
822#539—618no—
823#539—618no—
824#539—618no—
825#539—618no—
826#539—614no—
827#539C2×D6114yescomplemented
828#538—618no—
829#538—618no—
830#538—618no—
831#538—618no—
832#538—614no—
833#538—614no—
834#538—618no—
835#537—612no—
836#537—614no—
837#537—614no—
838#537—611no—
839#537C2×D6111yescharacteristic
840#536—612no—
841#536—614no—
842#536—614no—
843#536C2×D6112yescomplemented
844#535—612no—
845#535—614no—
846#535—614no—
847#535—612no—
848#534—618no—
849#534—614no—
850#533—614no—
851#533—614no—
852#533—614no—
853#533—614no—
854#533—614no—
855#533—614no—
856#533—614no—
857#533—614no—
858#533C2×D6114yescomplemented
859#532—614no—
860#532—614no—
861#532—614no—
862#532—614no—
863#532—614no—
864#532—614no—
865#532—614no—
866#532—614no—
867#532—614no—
868#529—618no—
869#529—618no—
870#529—618no—
871#529—618no—
872#529—618no—
873#529—614no—
874#529—618no—
875#529—614no—
876#529—614no—
877#529—614no—
878#529—618no—
879#529—618no—
880#529—618no—
881#529—614no—
882#529—614no—
883#529—618no—
884#529—614no—
885#529—614no—
886#529—618no—
887#529—618no—
888#529—614no—
889#529—614no—
890#529C2×D6114yescomplemented
891#529C2×D6114yescomplemented
892#525—618no—
893#525—618no—
894#525—614no—
895#525—614no—
896#525—614no—
897#525—618no—
898#525—614no—
899#525—614no—
900#525—614no—
901#525—618no—
902#525—618no—
903#525—618no—
904C4×#41—612no—
905C4×#41—612no—
906C4×#41—614no—
907C4×#41—612no—
908C4×#41—614no—
909C4×#41—614no—
910C4×#41—614no—
911C4×#41—614no—
912C4×#41—612no—
913C4×#41—614no—
914C4×#41—614no—
915C4×#41—612no—
916C4×#41—614no—
917C4×#41—612no—
918C4×#41—614no—
919C4×#41—618no—
920C4×#41—614no—
921C4×#41—612no—
922C4×#41C2×D6112yescomplemented
923C2×C4×Q8—611no—
924C2×C4×Q8—612no—
925C2×C4×Q8—612no—
926C2×C4×Q8C2×D6111yescharacteristic, complemented
927C2×C4×D4—614no—
928C2×C4×D4—614no—
929C2×C4×D4—612no—
930C2×C4×D4—612no—
931C2×C4×D4—612no—
932C2×C4×D4—611no—
933C2×C4×D4—612no—
934C2×C4×D4—611no—
935C2×#117—612no—
936C2×#117—614no—
937C2×#117—611no—
938C2×#117—612no—
939C22×C42—611no—
940C22×C42—612no—
941C22×C42—614no—
942C61#6268611yescharacteristic, complemented, Sylow
943C2×#41—612no—
944C2×#41—614no—
945C2×#41—614no—
946C2×#41—614no—
947C2×#41—614no—
948C2×#41—612no—
949C2×#41—614no—
950C2×#41—614no—
951C2×#41—612no—
952C2×#41—618no—
953C2×#41—1228no—
954C2×#41—12216no—
955C2×#41C22×D6112yes—
956C22×Q8—612no—
957C22×Q8C22×D6111yescharacteristic
958C22×D4—614no—
959C22×D4—612no—
960C22×D4—612no—
961C22×D4—611no—
962C23×C4—611no—
963C23×C4—612no—
964C23×C4—614no—
965C23×C4—611no—
966C23×C4—611no—
967C23×C4—612no—
968C23×C4—614no—
969C23×C4—612no—
970C23×C4—614no—
971C4⋊Q8—614no—
972C4⋊Q8—614no—
973C4⋊Q8—614no—
974C4⋊Q8—614no—
975C4⋊Q8—614no—
976C4⋊Q8—614no—
977C4⋊Q8—614no—
978C4⋊Q8C22×D6114yes—
979C4⋊Q8C22×D6114yes—
980#127—614no—
981#127—614no—
982#127—614no—
983#126—618no—
984#126—618no—
985#126—618no—
986#126—618no—
987#126—618no—
988#126—618no—
989#126—618no—
990#126—618no—
991#126—618no—
992#126—618no—
993#126C22×D6118yes—
994#126C22×D6118yes—
995#125—618no—
996#125—618no—
997#125—618no—
998#125—618no—
999#125—618no—
1000#125—614no—
1001#125—614no—
1002#125—614no—
1003#125—614no—
1004#125C22×D6118yes—
1005#125C22×D6114yes—
1006#125C22×D6114yes—
1007#124—614no—
1008#124—614no—
1009#124—618no—
1010#124—618no—
1011#124—618no—
1012#124—618no—
1013#124—618no—
1014#124—614no—
1015#124—614no—
1016#124—618no—
1017#124C22×D6114yes—
1018#124C22×D6114yes—
1019#123—618no—
1020#123—618no—
1021#123—618no—
1022#123—618no—
1023#123—618no—
1024#123—618no—
1025#123—618no—
1026#123—618no—
1027#123—618no—
1028#123—618no—
1029#123—618no—
1030#123—618no—
1031#123—618no—
1032#123—618no—
1033#123—618no—
1034#123—618no—
1035#123C22×D6118yes—
1036#123C22×D6118yes—
1037C22⋊Q8—614no—
1038C22⋊Q8—614no—
1039C22⋊Q8—614no—
1040C22⋊Q8—618no—
1041C22⋊Q8—614no—
1042C22⋊Q8—614no—
1043C22⋊Q8—614no—
1044C22⋊Q8—618no—
1045C22⋊Q8—618no—
1046C22⋊Q8—614no—
1047C22⋊Q8—618no—
1048C22⋊Q8—618no—
1049C22⋊Q8—618no—
1050C22⋊Q8—618no—
1051C22⋊Q8—618no—
1052C22⋊Q8—614no—
1053C22⋊Q8—618no—
1054C22⋊Q8—618no—
1055C22⋊Q8—618no—
1056C22⋊Q8C22×D6114yes—
1057C22⋊Q8C22×D6114yes—
1058C22⋊Q8C22×D6118yes—
1059C22⋊Q8C22×D6114yes—
1060C22⋊Q8C22×D6114yes—
1061#121—618no—
1062#121—614no—
1063#121—614no—
1064#121—618no—
1065#121—614no—
1066#121—614no—
1067#121—614no—
1068#121—614no—
1069#121—618no—
1070#121—618no—
1071#121—618no—
1072#121—614no—
1073#121—614no—
1074#121—614no—
1075#121—614no—
1076#121—618no—
1077#121—618no—
1078#121—618no—
1079#121—618no—
1080#121—618no—
1081#121—618no—
1082#121—618no—
1083#121C22×D6114yes—
1084#121C22×D6114yes—
1085#120—618no—
1086#120—618no—
1087#120—618no—
1088#120—618no—
1089#120—618no—
1090#120—618no—
1091C4×Q8—612no—
1092C4×Q8—614no—
1093C4×Q8—612no—
1094C4×Q8—614no—
1095C4×Q8—614no—
1096C4×Q8—614no—
1097C4×Q8—612no—
1098C4×Q8—614no—
1099C4×Q8—612no—
1100C4×Q8—614no—
1101C4×Q8—618no—
1102C4×Q8—618no—
1103C4×Q8—614no—
1104C4×Q8—612no—
1105C4×Q8—614no—
1106C4×Q8—612no—
1107C4×Q8—614no—
1108C4×Q8C22×D6112yes—
1109C4×Q8C22×D6112yes—
1110C4×Q8C22×D6114yes—
1111C4×Q8C22×D6114yes—
1112C4×Q8C22×D6114yes—
1113C4×D4—614no—
1114C4×D4—612no—
1115C4×D4—614no—
1116C4×D4—612no—
1117C4×D4—614no—
1118C4×D4—614no—
1119C4×D4—614no—
1120C4×D4—614no—
1121C4×D4—614no—
1122C4×D4—614no—
1123C4×D4—614no—
1124C4×D4—618no—
1125C4×D4—614no—
1126C4×D4—618no—
1127C4×D4—612no—
1128C4×D4—614no—
1129C4×D4—614no—
1130C4×D4—618no—
1131C4×D4—612no—
1132C4×D4—614no—
1133C4×D4—618no—
1134C4×D4—614no—
1135C4×D4—618no—
1136C4×D4—618no—
1137C4×D4—614no—
1138C4×D4—614no—
1139C4×D4—614no—
1140C4×D4—614no—
1141C4×D4—614no—
1142C4×D4—614no—
1143C4×D4—618no—
1144C4×D4—618no—
1145C4×D4—618no—
1146C4×D4—618no—
1147C4×D4—618no—
1148C4×D4—614no—
1149C4×D4—618no—
1150C4×D4—612no—
1151C4×D4—614no—
1152C4×D4—618no—
1153C4×D4—614no—
1154C4×D4—612no—
1155C4×D4—614no—
1156C4×D4—618no—
1157C4×D4—614no—
1158C4×D4C22×D6114yes—
1159C4×D4C22×D6112yes—
1160C4×D4C22×D6114yes—
1161C4×D4C22×D6112yes—
1162C4×D4C22×D6114yes—
1163#117—612no—
1164#117—614no—
1165#117—612no—
1166#117—612no—
1167#117—614no—
1168#117—614no—
1169#117—614no—
1170#117—618no—
1171#117—614no—
1172#117—618no—
1173#117—618no—
1174#117—614no—
1175#117—614no—
1176#117—614no—
1177#117—614no—
1178#117—614no—
1179#117—618no—
1180#117—614no—
1181#117—614no—
1182#117—614no—
1183#117—618no—
1184#117—618no—
1185#117C22×D6112yes—
1186#117C22×D6114yes—
1187#117C22×D6118yes—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—612no—
1190C2×C4⋊C4—612no—
1191C2×C4⋊C4—612no—
1192C2×C4⋊C4—614no—
1193C2×C4⋊C4—614no—
1194C2×C4⋊C4C22×D6111yescharacteristic
1195C2×C4⋊C4C22×D6112yes—
1196C2×C22⋊C4—612no—
1197C2×C22⋊C4—612no—
1198C2×C22⋊C4—612no—
1199C2×C22⋊C4—614no—
1200C2×C22⋊C4—614no—
1201C2×C22⋊C4—614no—
1202C2×C42—611no—
1203C2×C42—612no—
1204C2×C42—611no—
1205C2×C42—612no—
1206C2×C42—614no—
1207C2×C42—611no—
1208C2×C42—614no—
1209C2×C42—614no—
1210C2×C42—612no—
1211C2×C42—614no—
1212C2×C42—612no—
1213C2×C42—612no—
1214C2×C42—614no—
1215C2×C42—614no—
1216C2×C42—614no—
1217C2×C42—614no—
1218C2×C42—612no—
1219C2×C42—614no—
1220C2×C42—614no—
1221C2×C42—614no—
1222C2×C42—614no—
1223C2×C42—614no—
1224C2×C42—614no—
1225C2×C42C22×D6111yescharacteristic
1226C2×C42C22×D6112yes—
1227C2×C42C22×D6114yes—
1228C24—611no—
1229C24—614no—
1230C24—612no—
1231#41—28no—
1232#41—12216no—
1233#41—12216no—
1234#41—1228no—
1235#41—12216no—
1236#41—1228no—
1237#41—12216no—
1238#41—1228no—
1239#41—24416no—
1240#41—2448no—
1241#41—2448no—
1242C2×Q8—24no—
1243C2×Q8—614no—
1244C2×Q8—612no—
1245C2×Q8—614no—
1246C2×Q8—618no—
1247C2×Q8—1228no—
1248C2×Q8C23×D6112yes—
1249C2×Q8C23×D6114yes—
1250C2×Q8C23×D6114yes—
1251C2×D4—614no—
1252C2×D4—614no—
1253C2×D4—614no—
1254C2×D4—618no—
1255C2×D4—618no—
1256C2×D4—618no—
1257C2×D4—614no—
1258C2×D4—618no—
1259C2×D4—612no—
1260C2×D4—614no—
1261C2×D4—614no—
1262C2×D4—618no—
1263C2×D4—618no—
1264C2×D4—1228no—
1265C2×D4—1228no—
1266C2×D4—12216no—
1267C2×D4—1224no—
1268C2×D4C23×D6114yes—
1269C2×D4C23×D6112yes—
1270C2×D4C23×D6114yes—
1271C22×C4—611no—
1272C22×C4—618no—
1273C22×C4—612no—
1274C22×C4—612no—
1275C22×C4—611no—
1276C22×C4—614no—
1277C22×C4—614no—
1278C22×C4—611no—
1279C22×C4—612no—
1280C22×C4—614no—
1281C22×C4—612no—
1282C22×C4—614no—
1283C22×C4—614no—
1284C22×C4—614no—
1285C22×C4—614no—
1286C22×C4—614no—
1287C22×C4—614no—
1288C22×C4—614no—
1289C22×C4—612no—
1290C22×C4—614no—
1291C22×C4—614no—
1292C22×C4—612no—
1293C22×C4—612no—
1294C22×C4—614no—
1295C22×C4—614no—
1296C22×C4—614no—
1297C22×C4—614no—
1298C22×C4—614no—
1299C22×C4—614no—
1300C22×C4—1228no—
1301C22×C4—12216no—
1302C22×C4—2442no—
1303C22×C4—2444no—
1304C22×C4—2448no—
1305C22×C4—2442no—
1306C22×C4—2448no—
1307C22×C4—2444no—
1308C22×C4C23×D6112yes—
1309C22×C4C23×D6114yes—
1310C22×C4C23×D6111yescharacteristic
1311C22×C4C23×D6114yes—
1312C22×C4C23×D6111yescharacteristic
1313C22×C4C23×D6112yes—
1314C22×C4C23×D6114yes—
1315C22×C4C23×D6111yescharacteristic
1316C4⋊C4—614no—
1317C4⋊C4—614no—
1318C4⋊C4—614no—
1319C4⋊C4—614no—
1320C4⋊C4—614no—
1321C4⋊C4—614no—
1322C4⋊C4—614no—
1323C4⋊C4—612no—
1324C4⋊C4—612no—
1325C4⋊C4—614no—
1326C4⋊C4—614no—
1327C4⋊C4—618no—
1328C4⋊C4—618no—
1329C4⋊C4—618no—
1330C4⋊C4—618no—
1331C4⋊C4—618no—
1332C4⋊C4—618no—
1333C4⋊C4—618no—
1334C4⋊C4—614no—
1335C4⋊C4—614no—
1336C4⋊C4—618no—
1337C4⋊C4C23×D6112yes—
1338C4⋊C4C23×D6112yes—
1339C4⋊C4C23×D6114yes—
1340C4⋊C4C23×D6114yes—
1341C4⋊C4C23×D6114yes—
1342C4⋊C4C23×D6118yes—
1343C4⋊C4C23×D6118yes—
1344C4⋊C4C23×D6114yes—
1345C4⋊C4C23×D6114yes—
1346C4⋊C4C23×D6118yes—
1347C4⋊C4C23×D6118yes—
1348C22⋊C4—614no—
1349C22⋊C4—614no—
1350C22⋊C4—614no—
1351C22⋊C4—618no—
1352C22⋊C4—618no—
1353C22⋊C4—614no—
1354C22⋊C4—614no—
1355C22⋊C4—618no—
1356C22⋊C4—614no—
1357C22⋊C4—614no—
1358C22⋊C4—618no—
1359C22⋊C4—614no—
1360C22⋊C4—614no—
1361C22⋊C4—618no—
1362C22⋊C4—618no—
1363C22⋊C4—618no—
1364C22⋊C4—618no—
1365C22⋊C4—618no—
1366C22⋊C4—618no—
1367C22⋊C4—618no—
1368C22⋊C4—618no—
1369C22⋊C4C23×D6114yes—
1370C22⋊C4C23×D6114yes—
1371C22⋊C4C23×D6114yes—
1372C22⋊C4C23×D6118yes—
1373C22⋊C4C23×D6118yes—
1374C22⋊C4C23×D6118yes—
1375C42—612no—
1376C42—611no—
1377C42—611no—
1378C42—612no—
1379C42—614no—
1380C42—614no—
1381C42—614no—
1382C42—614no—
1383C42—614no—
1384C42—614no—
1385C42—612no—
1386C42—612no—
1387C42—614no—
1388C42—614no—
1389C42—614no—
1390C42—614no—
1391C42—614no—
1392C42—614no—
1393C42—611no—
1394C42—611no—
1395C42—614no—
1396C42C23×D6112yes—
1397C42C23×D6114yes—
1398C42C23×D6114yes—
1399C42C23×D6114yes—
1400C42C23×D6112yes—
1401C42C23×D6114yes—
1402C42C23×D6114yes—
1403C23—612no—
1404C23—614no—
1405C23—614no—
1406C23—614no—
1407C23—1228no—
1408C23—1224no—
1409C23—2441no—
1410C23—2442no—
1411C23—2441no—
1412C23—2442no—
1413C23—2444no—
1414C23—2444no—
1415C23C24×D6114yes—
1416C23C24×D6111yescharacteristic
1417Q8—28no—
1418Q8—24no—
1419Q8—44no—
1420Q8—1228no—
1421Q8—1224no—
1422Q8—2444no—
1423Q8—2448no—
1424D4—28no—
1425D4—24no—
1426D4—44no—
1427D4—1228no—
1428D4—12216no—
1429D4—1228no—
1430D4—1228no—
1431D4—1228no—
1432D4—1228no—
1433D4—1224no—
1434D4—2444no—
1435D4—2448no—
1436D4—2448no—
1437D4—2448no—
1438D4—2448no—
1439D4—2448no—
1440C2×C4—24no—
1441C2×C4—28no—
1442C2×C4—22no—
1443C2×C4—28no—
1444C2×C4—41no—
1445C2×C4—44no—
1446C2×C4—42no—
1447C2×C4—614no—
1448C2×C4—611no—
1449C2×C4—611no—
1450C2×C4—611no—
1451C2×C4—618no—
1452C2×C4—618no—
1453C2×C4—611no—
1454C2×C4—612no—
1455C2×C4—614no—
1456C2×C4—614no—
1457C2×C4—614no—
1458C2×C4—614no—
1459C2×C4—1228no—
1460C2×C4—1228no—
1461C2×C4—1228no—
1462C2×C4—1224no—
1463C2×C4—1228no—
1464C2×C4—1228no—
1465C2×C4—1228no—
1466C2×C4—1228no—
1467C2×C4—1222no—
1468C2×C4—1228no—
1469C2×C4—1228no—
1470C2×C4—1224no—
1471C2×C4—1228no—
1472C2×C4—1228no—
1473C2×C4—2442no—
1474C2×C4—2444no—
1475C2×C4—2444no—
1476C2×C4—2444no—
1477C2×C4—2442no—
1478C2×C4—2444no—
1479C2×C4—2444no—
1480C2×C4—2444no—
1481C2×C4—2441no—
1482C2×C4—2444no—
1483C2×C4—2442no—
1484C2×C4#41×D6114yes—
1485C2×C4C24×D6112yes—
1486C2×C4C24×D6111yescharacteristic
1487C2×C4C24×D6114yes—
1488C2×C4C24×D6114yes—
1489C2×C4C24×D6114yes—
1490C2×C4C24×D6114yes—
1491C2×C4C24×D6114yes—
1492C2×C4C24×D6112yes—
1493C2×C4C24×D6111yescharacteristic
1494C22—21no—
1495C22—21no—
1496C22—24no—
1497C22—24no—
1498C22—24no—
1499C22—614no—
1500C22—1222no—
1501C22—1222no—
1502C22—1224no—
1503C22—1224no—
1504C22—1224no—
1505C22—1224no—
1506C22—1224no—
1507C22—1224no—
1508C22—2444no—
1509C22—2448no—
1510C22—24416no—
1511C22C2×#41×D6112yes—
1512C22C25×D6111yescharacteristic
1513C4—24no—
1514C4—24no—
1515C4—22no—
1516C4—24no—
1517C4—24no—
1518C4—21no—
1519C4—24no—
1520C4—612no—
1521C4—612no—
1522C4—612no—
1523C4—1224no—
1524C4—1221no—
1525C4—1224no—
1526C4—1222no—
1527C4—1224no—
1528C4—1224no—
1529C4C2×#41×D6114yes—
1530C4#1684059912yes—
1531C2—22no—
1532C2—44no—
1533C2—1224no—
1534C2—2444no—
1535C2—2444no—
1536C2C22×#41×D6111yescharacteristic
1537C2#585×D6111yescharacteristic
1538C2C2×#1684059911yescharacteristic
subgroupG/H
centerC2×C4C24×D61
commutator, socle, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC61×#3461C2
hypercenter#3461D61
hypocenterC61#62686
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #21459252C2semidirect
2. #21459251C2semidirect
3. #21459250C2semidirect
4. #21459243C2semidirect
5. #21459242C2semidirect
6. #21459240C2semidirect
7. #21459239C2semidirect
8. #21459236C2semidirect
9. #21459235C2semidirect
10. #21459229C2semidirect
11. #21459227C2semidirect
12. #21459223C2semidirect
13. #21459210C2semidirect
14. #21459206C2semidirect
15. #21459205C2semidirect
16. #21459151C2semidirect
17. #21459147C2semidirect
18. #21459116C2semidirect
19. #21459113C2semidirect
20. #21459113C2semidirect
21. C2×C4×#11758226C2semidirect
22. C4×#41×D61C2semidirect
23. C61×#3461C2semidirect
26. #16840393C22semidirect
27. #16840392C22semidirect
28. #16840390C22semidirect
29. #16840389C22semidirect
31. #16840386C22semidirect
32. #16840385C22semidirect
33. #16840385C22semidirect
34. #16840384C22semidirect
35. #16840384C22semidirect
36. #16840383C22semidirect
37. #16840382C22semidirect
38. #16840381C22semidirect
39. #16840378C22semidirect
40. #16840373C22semidirect
41. #16840372C22semidirect
42. #16840371C22semidirect
43. #16840370C22semidirect
44. #16840368C22semidirect
45. #16840367C22semidirect
46. #16840365C22semidirect
47. #16840364C22semidirect
48. #16840363C22semidirect
49. #16840360C22semidirect
50. #16840360C22semidirect
51. #16840359C22semidirect
52. #16840358C22semidirect
53. #16840356C22semidirect
54. #16840353C22semidirect
55. #16840352C22semidirect
56. #16840351C22semidirect
57. #16840351C22semidirect
58. #16840349C22semidirect
59. #16840348C22semidirect
60. #16840346C22semidirect
61. #16840345C22semidirect
66. #16840337C22semidirect
67. #16840336C22semidirect
68. #16840335C22semidirect
69. #16840331C22semidirect
70. #16840330C22semidirect
71. #16840328C22semidirect
72. #16840326C22semidirect
75. #16840318C22semidirect
76. #16840318C22semidirect
77. #16840317C22semidirect
78. #16840317C22semidirect
79. #16840316C22semidirect
80. #16840316C22semidirect
81. #16840314C22semidirect
82. #16840314C22semidirect
84. #16840313C22semidirect
85. #16840312C22semidirect
87. #16840311C22semidirect
88. #16840309C22semidirect
89. #16840309C22semidirect
91. #16840307C22semidirect
92. #16840299C22semidirect
93. #16840299C22semidirect
94. #16840299C22semidirect
95. #16840298C22semidirect
96. #16840298C22semidirect
97. #16840298C22semidirect
98. #16840297C22semidirect
99. #16840297C22semidirect
100. #16840297C22semidirect
101. #16840297C22semidirect
102. #16840296C22semidirect
103. #16840296C22semidirect
104. #16840295C22semidirect
105. #16840295C22semidirect
106. #16840295C22semidirect
107. #16840295C22semidirect
108. #16840291C22semidirect
109. #16840291C22semidirect
110. #16840290C22semidirect
111. #16840290C22semidirect
112. #16840289C22semidirect
113. #16840289C22semidirect
114. #16840275C22semidirect
115. #16840275C22semidirect
116. #16840275C22semidirect
117. #16840275C22semidirect
118. #16840275C22semidirect
119. #16840274C22semidirect
120. #16840272C22semidirect
121. #16840272C22semidirect
122. #16840271C22semidirect
123. #16840271C22semidirect
124. #16840270C22semidirect
125. #16840270C22semidirect
126. #41×Dic61C22semidirect
127. C4×#11758226C22semidirect
128. C4×#11758226C22semidirect
129. C4×#11758226C22semidirect
130. C4×#11758226C22semidirect
131. C4×#11758226C22semidirect
132. C4×#11758226C22semidirect
133. C4×#11758226C22semidirect
134. C4×#11758222C22semidirect
135. C4×#11758222C22semidirect
136. #16840230C22semidirect
137. #16840230C22semidirect
138. #16840230C22semidirect
139. C4×#11758224C22semidirect
140. C4×#11758224C22semidirect
141. C4×#11758224C22semidirect
142. C4×#11758224C22semidirect
143. C4×#11758224C22semidirect
144. C2×Q8×Dic61C22semidirect
145. C4×Q8×D61C22semidirect
146. C4×Q8×D61C22semidirect
148. C2×C4×D244C22semidirect
150. C2×#14519739C22semidirect
153. C4×D4×D61C22semidirect
154. C4×D4×D61C22semidirect
156. C2×#14519735C22semidirect
158. #117×D61C22semidirect
160. C2×C42×D61C22semidirect
161. C2×C42×D61C22semidirect
162. C61×#544C22semidirect
163. C61×#542C22semidirect
164. C61×#541C22semidirect
165. C61×#539C22semidirect
167. C61×#536C22semidirect
168. C61×#533C22semidirect
169. C61×#529C22semidirect
170. C61×#529C22semidirect
171. C4×#41×C61C22semidirect
172. C2×C4×Q8×C61C22semidirect
520. C2×C4×D61#41semidirect
766. #3461D61semidirect
799. #544C2×D61semidirect
810. #542C2×D61semidirect
815. #541C2×D61semidirect
827. #539C2×D61semidirect
843. #536C2×D61semidirect
858. #533C2×D61semidirect
890. #529C2×D61semidirect
891. #529C2×D61semidirect
922. C4×#41C2×D61semidirect
926. C2×C4×Q8C2×D61semidirect
942. C61#62686semidirect

Maximal subgroups

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

subgroupindex
#214592522
#214592512
#214592502
#214592432
#214592422
#214592402
#214592392
#214592362
#214592352
#214592292
#214592272
#214592232
#214592102
#214592062
#214592052
#214591512
#214591472
#214591162
#214591132
C2×C4×#117582262
C4×#41×D612
C61×#34612
#6268661