Finite Group Databasebeta

← C2×#62926 #10586269

Subgroups — C2×#62926 #10586269

Order 512.

32100 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62926C2164yesmaximal, direct product factor
2C2×#3512C212yesmaximal, complemented
3C2×#3504C212yesmaximal, complemented
4C2×#3511C211yesmaximal, characteristic, complemented
5C2×#3511C212yesmaximal, complemented
6C2×#3503C211yesmaximal, characteristic, complemented
7C2×#3522C212yesmaximal, complemented
8C2×#3515C212yesmaximal, complemented
9C2×#3507C212yesmaximal, complemented
10C2×#3506C212yesmaximal, complemented
11C2×#3506C211yesmaximal, characteristic, complemented
12C2×#3492C214yesmaximal, complemented
13C2×#3548C212yesmaximal, complemented
14C2×#3555C212yesmaximal, complemented
15C2×#3547C212yesmaximal, complemented
16C2×#3544C212yesmaximal, complemented
17C2×#3554C214yesmaximal, complemented
18C2×#3565C214yesmaximal, complemented
19C2×#3557C214yesmaximal, complemented
20C2×#3559C214yesmaximal, complemented
21C2×#3541C218yesmaximal, complemented
22C2×#3541C214yesmaximal, complemented
23C2×Q8×#41C211yesmaximal, characteristic, complemented
24C2×#3480C211yesmaximal, characteristic, complemented
25C22×#554C211yesmaximal, characteristic, complemented
26C2×#3460C211yesmaximal, characteristic, complemented
27C2×#3460C212yesmaximal, complemented
28#3565C221128yescomplemented
29#3559C221128yescomplemented
30#3557C221128yescomplemented
31#3555C22164yescomplemented
32#3554C221128yescomplemented
33#3548C22164yescomplemented
34#3547C22164yescomplemented
35#3544C22164yescomplemented
36#3541C221128yescomplemented
37#3541C221256yescomplemented
38C2×#563C2218yescomplemented
39C2×#563C2218yescomplemented
40C2×#563C2218yescomplemented
41C2×#562C2218yescomplemented
42C2×#562C2218yescomplemented
43C2×#562C2218yescomplemented
44#3522C22164yescomplemented
45#3515C22164yescomplemented
46#3512C22164yescomplemented
47#3511C22132yescomplemented
48#3511C22164yescomplemented
49#3507C22164yescomplemented
50#3506C22164yescomplemented
51#3506C22132yescomplemented
52#3504C22164yescomplemented
53#3503C22132yescomplemented
54#3492C221128yescomplemented
55#3480C22132yescomplemented
56C2×#559C2214yes—
57C2×#559C2214yes—
58C2×#559C2214yes—
59C2×#559C2212yescomplemented
60C2×#559C2211yescharacteristic, complemented
61Q8×#41C22132yescomplemented
62C2×Q82C2211yescharacteristic, complemented
63C2×Q82C2212yescomplemented
64C2×#557C2212yescomplemented
65C2×#557C2214yescomplemented
66C2×#557C2212yescomplemented
67C2×#557C2214yescomplemented
68C2×#557C2211yescharacteristic, complemented
69C2×#557C2211yescharacteristic, complemented
70C2×#556C2214yes—
71C2×#556C2212yes—
72C2×#556C2218yescomplemented
73C2×#556C2214yescomplemented
74C2×#556C2212yescomplemented
75C2×#556C2212yescomplemented
76C2×#556C2211yescharacteristic, complemented
77C2×#555C2214yes—
78C2×#555C2212yes—
79C2×#555C2212yescomplemented
80C2×#554C2218yes—
81C2×#554C2214yes—
82C2×#554C2214yes—
83C2×#554C2218yes—
84C2×#554C2214yes—
85C2×#554C2214yes—
86C2×#554C2212yes—
87C2×#554C2212yes—
88C2×#554C2212yes—
89C2×#554C2212yes—
90C2×#554C2212yes—
91C2×#554C22132yescomplemented
92C2×#554C2212yescomplemented
93C2×#554C2214yescomplemented
94C2×#554C2214yescomplemented
95C2×#554C2212yescomplemented
96C2×#554C2212yescomplemented
97C2×#554C2211yescharacteristic, complemented
98C2×#553C2218yes—
99C2×#553C2214yes—
100C2×#553C2214yes—
101C2×#553C2218yes—
102C2×#553C2214yes—
103C2×#553C2214yes—
104C2×#553C2214yes—
105C2×#553C2212yes—
106C2×#553C2214yescomplemented
107C2×#553C2214yescomplemented
108C2×#552C2218yescomplemented
109C2×#552C2214yescomplemented
110C2×#552C2218yescomplemented
111C2×#552C2214yescomplemented
112C2×#552C2214yescomplemented
113C2×#552C2214yescomplemented
114C2×#552C2214yescomplemented
115C2×#550C2214yes—
116C2×#550C2212yes—
117C2×#550C2211yescharacteristic, complemented
118C2×D4×Q8C2214yes—
119C2×D4×Q8C2212yes—
120C2×D4×Q8C2212yescomplemented
121C2×D4×Q8C2211yescharacteristic, complemented
122C2×#548C2214yes—
123C2×#548C2212yes—
124C2×#548C2218yescomplemented
125C2×#548C2214yescomplemented
126C2×#547C2214yes—
127C2×#547C2212yes—
128C2×#547C2218yescomplemented
129C2×#547C2214yescomplemented
130C2×#547C2212yescomplemented
131C2×#547C2218yescomplemented
132C2×#547C2214yescomplemented
133C2×#547C2214yescomplemented
134#3460C22132yescomplemented
135#3460C22164yescomplemented
136C2×#544C2212yes—
137C2×#544C2211yescharacteristic
138C2×#544C2214yescomplemented
139C2×#544C2214yescomplemented
140C2×#544C2214yescomplemented
141C2×#544C2214yescomplemented
142C2×#542C2212yes—
143C2×#542C2212yes—
144C2×#542C2214yes—
145C2×#542C2214yes—
146C2×#542C2218yescomplemented
147C2×#542C2218yescomplemented
148C2×#542C2218yescomplemented
149C2×#542C2218yescomplemented
150C2×#542C2214yescomplemented
151C2×#542C2214yescomplemented
152C2×#541C2218yescomplemented
153C2×#541C2214yescomplemented
154C2×#541C2214yescomplemented
155C2×#540C2212yes—
156C2×#540C2214yes—
157C2×#540C2214yes—
158C2×#540C2212yes—
159C2×#540C2214yescomplemented
160C2×#539C2218yescomplemented
161C2×#539C2218yescomplemented
162C2×#539C2218yescomplemented
163C2×#539C2218yescomplemented
164C2×#539C2218yescomplemented
165C2×#538C2218yes—
166C2×#538C2214yes—
167C2×#538C2214yes—
168C2×#538C2218yes—
169C2×#537C2212yes—
170C2×#537C2211yescharacteristic
171C2×#537C2218yescomplemented
172C2×#537C2214yescomplemented
173C2×#537C2214yescomplemented
174C2×#536C2218yescomplemented
175C2×#536C2214yescomplemented
176C2×#535C2211yescharacteristic
177C2×#535C2212yes—
178C2×#535C2211yescharacteristic
179C2×#533C2211yescharacteristic
180C2×#533C2212yes—
181C2×#533C2214yescomplemented
182C2×#533C2214yescomplemented
183C2×#533C2212yescomplemented
184C2×#533C2212yescomplemented
185C2×#533C2212yescomplemented
186C2×#532C2214yes—
187C2×#532C2214yes—
188C2×#532C2212yes—
189C2×#532C2212yes—
190C2×#532C2211yescharacteristic
191C2×#532C2212yes—
192C2×#532C2212yescomplemented
193C22×C4⋊Q8C2211yescharacteristic
194C22×C4⋊Q8C2212yescomplemented
195C2×#529C2214yes—
196C2×#529C2214yes—
197C2×#529C2212yes—
198C2×#529C2212yes—
199C2×#529C2214yescomplemented
200C2×#529C2214yescomplemented
201C2×#529C2214yescomplemented
202C2×#529C2212yescomplemented
203C22×#125C2212yes—
204C22×#125C2214yescomplemented
205C2×#525C2214yes—
206C2×#525C2218yes—
207C2×#525C2214yes—
208C2×#525C2218yes—
209C22×C22⋊Q8C2214yes—
210C22×C22⋊Q8C2212yes—
211C2×#520C2212yes—
212C2×#520C2212yes—
213C2×#520C2212yes—
214C2×#520C2214yescomplemented
215C2×#520C2214yescomplemented
216C2×C4×#41C2211yescharacteristic
217C2×C4×#41C2211yescharacteristic
218C2×C4×#41C2212yes—
219C2×C4×#41C2212yes—
220C2×C4×#41C2212yescomplemented
221C22×C4×Q8C2211yescharacteristic
222C22×C4×Q8C2212yescomplemented
223C22×C4×D4C2211yescharacteristic
224C22×C4×D4C2212yes—
225C23×C4⋊C4C2212yes—
226C22×#41C2311yescharacteristic
227C22×#41C2311yescharacteristic
228C22×#41C2312yes—
229C22×#41C2312yes—
230C22×#41C2314yes—
231C22×#41C2314yes—
232C22×#41C2318yes—
233C22×#41C2318yes—
234C22×#41C2314yes—
235C23×Q8C2311yescharacteristic
236C23×Q8C2312yes—
237C23×Q8C2312yes—
238C23×Q8C2314yes—
239C23×D4C2311yescharacteristic
240C24×C4C2312yes—
241C24×C4C2314yes—
242#563C231128yescomplemented
243#563C231128yescomplemented
244#563C231128yescomplemented
245#562C231128yescomplemented
246#562C231128yescomplemented
247#562C231128yescomplemented
248#559C23164yes—
249#559C23164yes—
250#559C23164yes—
251#559C23116yescomplemented
252#559C23132yescomplemented
253Q82C23116yescomplemented
254Q82C23132yescomplemented
255#557C23116yescomplemented
256#557C23132yescomplemented
257#557C23116yescomplemented
258#557C23132yescomplemented
259#557C23164yescomplemented
260#557C23164yescomplemented
261#556C23132yes—
262#556C23164yes—
263#556C23116yescomplemented
264#556C23132yescomplemented
265#556C231128yescomplemented
266#556C23164yescomplemented
267#556C23132yescomplemented
268#555C23132yes—
269#555C23164yes—
270#555C23132yescomplemented
271#554C23132yes—
272#554C23132yes—
273#554C23132yes—
274#554C23132yes—
275#554C23164yes—
276#554C23164yes—
277#554C23132yes—
278#554C23164yes—
279#554C23164yes—
280#554C231128yes—
281#554C231128yes—
282#554C23116yescomplemented
283#554C23132yescomplemented
284#554C23132yescomplemented
285#554C23164yescomplemented
286#554C23164yescomplemented
287#554C23132yescomplemented
288#553C23132yes—
289#553C23164yes—
290#553C23164yes—
291#553C231128yes—
292#553C23164yes—
293#553C23164yes—
294#553C23164yes—
295#553C231128yes—
296#553C23164yescomplemented
297#553C23164yescomplemented
298#552C23164yescomplemented
299#552C23164yescomplemented
300#552C231128yescomplemented
301#552C23164yescomplemented
302#552C23164yescomplemented
303#552C23164yescomplemented
304#552C231128yescomplemented
305#550C23132yes—
306#550C23164yes—
307#550C23116yescomplemented
308D4×Q8C23132yes—
309D4×Q8C23164yes—
310D4×Q8C23116yescomplemented
311D4×Q8C23132yescomplemented
312#548C23132yes—
313#548C23164yes—
314#548C231128yescomplemented
315#548C23164yescomplemented
316#547C23132yes—
317#547C23164yes—
318#547C23164yescomplemented
319#547C23164yescomplemented
320#547C231128yescomplemented
321#547C23132yescomplemented
322#547C23164yescomplemented
323#547C231128yescomplemented
324#544C23132yes—
325#544C23116yes—
326#544C23164yescomplemented
327#544C23164yescomplemented
328#544C23164yescomplemented
329#544C23164yescomplemented
330#542C23164yes—
331#542C23164yes—
332#542C23132yes—
333#542C23132yes—
334#542C231128yescomplemented
335#542C23164yescomplemented
336#542C23164yescomplemented
337#542C231128yescomplemented
338#542C231128yescomplemented
339#542C231128yescomplemented
340#541C23164yescomplemented
341#541C23164yescomplemented
342#541C231128yescomplemented
343#540C23164yes—
344#540C23164yes—
345#540C23132yes—
346#540C23132yes—
347#540C23164yescomplemented
348#539C231128yescomplemented
349#539C231128yescomplemented
350#539C231128yescomplemented
351#539C231128yescomplemented
352#539C231128yescomplemented
353#538C23164yes—
354#538C231128yes—
355#538C231128yes—
356#538C23164yes—
357#537C23132yes—
358#537C23116yes—
359#537C23164yescomplemented
360#537C23164yescomplemented
361#537C231128yescomplemented
362#536C23164yescomplemented
363#536C231128yescomplemented
364#535C23116yes—
365#535C23116yes—
366#535C23132yes—
367#533C23116yes—
368#533C23132yes—
369#533C23132yescomplemented
370#533C23164yescomplemented
371#533C23132yescomplemented
372#533C23164yescomplemented
373#533C23132yescomplemented
374#532C23132yes—
375#532C23132yes—
376#532C23164yes—
377#532C23164yes—
378#532C23116yes—
379#532C23132yes—
380#532C23132yescomplemented
381C2×C4⋊Q8C2312yes—
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C23116yes—
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2314yes—
388C2×C4⋊Q8C2314yes—
389C2×C4⋊Q8C2314yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2314yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2311yescharacteristic
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2314yes—
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2314yes—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2318yes—
403C2×C4⋊Q8C2318yes—
404C2×C4⋊Q8C2318yes—
405C2×C4⋊Q8C23132yescomplemented
406C2×#127C2312yes—
407C2×#127C2311yescharacteristic
408C2×#127C2314yes—
409C2×#127C2312yes—
410C2×#127C2312yes—
411#529C23164yes—
412#529C23132yes—
413#529C23164yes—
414#529C23132yes—
415#529C23132yescomplemented
416#529C23164yescomplemented
417#529C23164yescomplemented
418#529C23164yescomplemented
419C2×#126C2318yes—
420C2×#126C2314yes—
421C2×#126C2314yes—
422C2×#126C2318yes—
423C2×#126C2314yes—
424C2×#126C2318yes—
425C2×#126C2314yes—
426C2×#126C2318yes—
427C2×#126C2314yes—
428C2×#126C2318yes—
429C2×#126C2318yes—
430C2×#126C2318yes—
431C2×#126C2318yes—
432C2×#126C2318yes—
433C2×#126C2318yes—
434C2×#125C2314yes—
435C2×#125C2314yes—
436C2×#125C2314yes—
437C2×#125C2314yes—
438C2×#125C23132yes—
439C2×#125C2312yes—
440C2×#125C2312yes—
441C2×#125C2314yes—
442C2×#125C2318yes—
443C2×#125C2318yes—
444C2×#125C2312yes—
445C2×#125C2314yes—
446C2×#125C2314yes—
447C2×#125C2312yes—
448C2×#125C2312yes—
449C2×#125C2312yes—
450C2×#125C2314yes—
451C2×#125C2314yes—
452C2×#125C2314yes—
453C2×#125C2314yes—
454C2×#125C2318yes—
455C2×#125C2318yes—
456C2×#125C2318yes—
457C2×#125C2318yes—
458C2×#125C2318yes—
459C2×#125C23164yescomplemented
460C2×#124C2312yes—
461C2×#124C2314yes—
462C2×#124C2312yes—
463C2×#124C2312yes—
464C2×#124C2312yes—
465C2×#124C2312yes—
466C2×#124C2314yes—
467C2×#124C2318yes—
468C2×#124C2314yes—
469C2×#124C2318yes—
470C2×#124C2314yes—
471C2×#124C2312yes—
472C2×#124C2314yes—
473C2×#124C2318yes—
474C2×#124C2318yes—
475C2×#124C2318yes—
476C2×#124C2318yes—
477#525C23164yes—
478#525C231128yes—
479#525C23164yes—
480#525C231128yes—
481C2×#123C2314yes—
482C2×#123C2314yes—
483C2×#123C2318yes—
484C2×#123C2318yes—
485C2×#123C2318yes—
486C2×#123C2318yes—
487C2×#123C2318yes—
488C2×#123C2314yes—
489C2×#123C2318yes—
490C2×#123C2314yes—
491C2×#123C2318yes—
492C2×#123C2314yes—
493C2×#123C2318yes—
494C2×#123C2314yes—
495C2×#123C2318yes—
496C2×#123C2314yes—
497C2×#123C2318yes—
498C2×#123C2318yes—
499C2×#123C2318yes—
500C2×#123C2318yes—
501C2×#123C2318yes—
502C2×#123C2318yes—
503C2×C22⋊Q8C2314yes—
504C2×C22⋊Q8C2318yes—
505C2×C22⋊Q8C2314yes—
506C2×C22⋊Q8C2318yes—
507C2×C22⋊Q8C2318yes—
508C2×C22⋊Q8C2318yes—
509C2×C22⋊Q8C2318yes—
510C2×C22⋊Q8C23164yes—
511C2×C22⋊Q8C23132yes—
512C2×C22⋊Q8C2312yes—
513C2×C22⋊Q8C2314yes—
514C2×C22⋊Q8C2318yes—
515C2×C22⋊Q8C2314yes—
516C2×C22⋊Q8C2318yes—
517C2×C22⋊Q8C2314yes—
518C2×C22⋊Q8C2318yes—
519C2×C22⋊Q8C2314yes—
520C2×C22⋊Q8C2312yes—
521C2×C22⋊Q8C2314yes—
522C2×C22⋊Q8C2312yes—
523C2×C22⋊Q8C2314yes—
524C2×C22⋊Q8C2312yes—
525C2×C22⋊Q8C2314yes—
526C2×C22⋊Q8C2312yes—
527C2×C22⋊Q8C2314yes—
528C2×C22⋊Q8C2314yes—
529C2×C22⋊Q8C2312yes—
530C2×C22⋊Q8C2312yes—
531C2×C22⋊Q8C2314yes—
532C2×C22⋊Q8C2318yes—
533C2×C22⋊Q8C2314yes—
534C2×C22⋊Q8C2314yes—
535C2×C22⋊Q8C2314yes—
536C2×C22⋊Q8C2314yes—
537C2×C22⋊Q8C2318yes—
538C2×C22⋊Q8C2314yes—
539C2×C22⋊Q8C2314yes—
540C2×C22⋊Q8C2318yes—
541C2×C22⋊Q8C2318yes—
542C2×C22⋊Q8C2318yes—
543C2×C22⋊Q8C2318yes—
544C2×C22⋊Q8C2318yes—
545C2×C22⋊Q8C2318yes—
546C2×C22⋊Q8C2318yes—
547C2×#121C2312yes—
548C2×#121C2314yes—
549C2×#121C2318yes—
550C2×#121C2314yes—
551C2×#121C2318yes—
552C2×#121C2318yes—
553C2×#121C2314yes—
554C2×#121C2314yes—
555C2×#121C2312yes—
556C2×#121C2312yes—
557C2×#121C2312yes—
558C2×#121C2314yes—
559C2×#121C2312yes—
560C2×#121C2314yes—
561C2×#121C2312yes—
562C2×#121C2314yes—
563C2×#121C2314yes—
564C2×#121C2312yes—
565C2×#121C2314yes—
566C2×#121C2312yes—
567C2×#121C2314yes—
568C2×#121C2318yes—
569C2×#121C2312yes—
570C2×#121C2314yes—
571C2×#121C2318yes—
572C2×#121C2314yes—
573C2×#121C2314yes—
574C2×#121C2318yes—
575C2×#121C2318yes—
576C2×#121C2318yes—
577C2×#121C2318yes—
578C2×#121C2318yes—
579C2×#120C2318yes—
580C2×#120C2314yes—
581C2×#120C2314yes—
582#520C23132yes—
583#520C23132yes—
584#520C23132yes—
585#520C23164yescomplemented
586#520C23164yescomplemented
587C4×#41C23116yes—
588C4×#41C23132yes—
589C4×#41C23116yes—
590C4×#41C23132yes—
591C4×#41C23132yescomplemented
592C2×C4×Q8C2311yescharacteristic
593C2×C4×Q8C2311yescharacteristic
594C2×C4×Q8C2311yescharacteristic
595C2×C4×Q8C2312yes—
596C2×C4×Q8C2311yescharacteristic
597C2×C4×Q8C2312yes—
598C2×C4×Q8C23116yes—
599C2×C4×Q8C2312yes—
600C2×C4×Q8C2312yes—
601C2×C4×Q8C2314yes—
602C2×C4×Q8C2312yes—
603C2×C4×Q8C2314yes—
604C2×C4×Q8C2312yes—
605C2×C4×Q8C2311yescharacteristic
606C2×C4×Q8C2312yes—
607C2×C4×Q8C2311yescharacteristic
608C2×C4×Q8C2312yes—
609C2×C4×Q8C2311yescharacteristic
610C2×C4×Q8C2311yescharacteristic
611C2×C4×Q8C2312yes—
612C2×C4×Q8C2312yes—
613C2×C4×Q8C2314yes—
614C2×C4×Q8C2314yes—
615C2×C4×Q8C2314yes—
616C2×C4×Q8C2314yes—
617C2×C4×Q8C2318yes—
618C2×C4×Q8C2312yes—
619C2×C4×Q8C2314yes—
620C2×C4×Q8C2314yes—
621C2×C4×Q8C2318yes—
622C2×C4×Q8C2314yes—
623C2×C4×Q8C23132yescomplemented
624C2×C4×D4C2312yes—
625C2×C4×D4C2312yes—
626C2×C4×D4C2314yes—
627C2×C4×D4C2314yes—
628C2×C4×D4C2314yes—
629C2×C4×D4C2314yes—
630C2×C4×D4C2312yes—
631C2×C4×D4C2312yes—
632C2×C4×D4C23132yes—
633C2×C4×D4C23116yes—
634C2×C4×D4C2312yes—
635C2×C4×D4C2312yes—
636C2×C4×D4C2314yes—
637C2×C4×D4C2314yes—
638C2×C4×D4C2311yescharacteristic
639C2×C4×D4C2311yescharacteristic
640C2×C4×D4C2312yes—
641C2×C4×D4C2312yes—
642C2×C4×D4C2312yes—
643C2×C4×D4C2314yes—
644C2×C4×D4C2312yes—
645C2×C4×D4C2314yes—
646C2×C4×D4C2311yescharacteristic
647C2×C4×D4C2311yescharacteristic
648C2×C4×D4C2312yes—
649C2×C4×D4C2312yes—
650C2×C4×D4C2312yes—
651C2×C4×D4C2312yes—
652C2×C4×D4C2314yes—
653C2×C4×D4C2314yes—
654C2×C4×D4C2318yes—
655C2×C4×D4C2318yes—
656C2×C4×D4C2318yes—
657C2×C4×D4C2314yes—
658C2×C4×D4C2314yes—
659C2×C4×D4C2314yes—
660C2×C4×D4C2318yes—
661C2×C4×D4C2318yes—
662C2×C4×D4C2318yes—
663C2×C4×D4C2318yes—
664C2×C4×D4C2318yes—
665C2×C4×D4C2314yes—
666C2×C4×D4C2314yes—
667C2×C4×D4C2314yes—
668C2×C4×D4C2318yes—
669C2×C4×D4C2314yes—
670C2×C4×D4C2312yes—
671C2×C4×D4C2318yes—
672C2×#117C2311yescharacteristic
673C2×#117C2311yescharacteristic
674C2×#117C2312yes—
675C2×#117C2314yes—
676C2×#117C2312yes—
677C2×#117C2314yes—
678C2×#117C2312yes—
679C2×#117C2312yes—
680C2×#117C2314yes—
681C2×#117C2314yes—
682C2×#117C2314yes—
683C2×#117C2314yes—
684C2×#117C2314yes—
685C2×#117C2314yes—
686C2×#117C2318yes—
687C2×#117C2314yes—
688C2×#117C2318yes—
689C2×#117C2318yes—
690C2×#117C2318yes—
691C22×C4⋊C4C2311yescharacteristic
692C22×C4⋊C4C2314yes—
693C22×C4⋊C4C2314yes—
694C22×C4⋊C4C2312yes—
695C22×C4⋊C4C2314yes—
696C22×C4⋊C4C2318yes—
697C22×C4⋊C4C23132yes—
698C22×C4⋊C4C2311yescharacteristic
699C22×C4⋊C4C2312yes—
700C22×C4⋊C4C2312yes—
701C22×C4⋊C4C2312yes—
702C22×C4⋊C4C2314yes—
703C22×C4⋊C4C2314yes—
704C22×C4⋊C4C2314yes—
705C22×C4⋊C4C2314yes—
706C22×C4⋊C4C2318yes—
707C22×C4⋊C4C2314yes—
708C22×C4⋊C4C2314yes—
709C22×C4⋊C4C2318yes—
710C22×C22⋊C4C2314yes—
711C22×C22⋊C4C2312yes—
712C22×C42C2312yes—
713C22×C42C2311yescharacteristic
714C22×C42C2314yes—
715C22×C42C2312yes—
716C22×C42C2314yes—
717C22×C42C2312yes—
718C25C2412yes—
719C2×#41—28no—
720C2×#41—28no—
721C2×#41—216no—
722C2×#41—416no—
723C2×#41—416no—
724C2×#41—48no—
725C2×#41—816no—
726C2×#41—816no—
727C2×#41—88no—
728C2×#41C2418yes—
729C2×#41C2418yes—
730C2×#41C24116yes—
731C2×#41C24116yes—
732C2×#41C24132yes—
733C2×#41C24132yes—
734C2×#41C24164yes—
735C2×#41C24164yes—
736C2×#41C24132yes—
737C22×Q8—44no—
738C22×Q8—48no—
739C22×Q8—84no—
740C22×Q8—88no—
741C22×Q8C2411yescharacteristic
742C22×Q8C2412yes—
743C22×Q8C2411yescharacteristic
744C22×Q8C2411yescharacteristic
745C22×Q8C2411yescharacteristic
746C22×Q8C2412yes—
747C22×Q8C2412yes—
748C22×Q8C2414yes—
749C22×Q8C2414yes—
750C22×Q8C2418yes—
751C22×Q8C2414yes—
752C22×Q8C2414yes—
753C22×Q8C2414yes—
754C22×Q8C2418yes—
755C22×Q8C2412yes—
756C22×Q8C24116yes—
757C22×Q8C24116yes—
758C22×Q8C24132yes—
759C22×D4—28no—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2411yescharacteristic
767C22×D4C2412yes—
768C22×D4C2418yes—
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2418yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2418yes—
778C22×D4C2418yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C23×C4—48no—
782C23×C4—88no—
783C23×C4C2411yescharacteristic
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2414yes—
794C23×C4C2412yes—
795C23×C4C2418yes—
796C23×C4C2418yes—
797C23×C4C2418yes—
798C23×C4C2418yes—
799C23×C4C2414yes—
800C23×C4C2418yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2412yes—
805C23×C4C24116yes—
806C23×C4C2414yes—
807C23×C4C2412yes—
808C23×C4C24132yes—
809C23×C4C2411yescharacteristic
810C4⋊Q8C24116yes—
811C4⋊Q8C24116yes—
812C4⋊Q8C24116yes—
813C4⋊Q8C24116yes—
814C4⋊Q8C2418yes—
815C4⋊Q8C24132yes—
816C4⋊Q8C24132yes—
817C4⋊Q8C24132yes—
818C4⋊Q8C24116yes—
819C4⋊Q8C2418yes—
820C4⋊Q8C24116yes—
821C4⋊Q8C24132yes—
822C4⋊Q8C24116yes—
823C4⋊Q8C2418yes—
824C4⋊Q8C24116yes—
825C4⋊Q8C24116yes—
826C4⋊Q8C24132yes—
827C4⋊Q8C24116yes—
828C4⋊Q8C24132yes—
829C4⋊Q8C24116yes—
830C4⋊Q8C24164yes—
831C4⋊Q8C24164yes—
832C4⋊Q8C24164yes—
833#127C24116yes—
834#127C2418yes—
835#127C24132yes—
836#127C24116yes—
837#127C24116yes—
838#126C24164yes—
839#126C24132yes—
840#126C24132yes—
841#126C24164yes—
842#126C24132yes—
843#126C24164yes—
844#126C24132yes—
845#126C24164yes—
846#126C24132yes—
847#126C24164yes—
848#126C24164yes—
849#126C24164yes—
850#126C24164yes—
851#126C24164yes—
852#126C24164yes—
853#125C24132yes—
854#125C24132yes—
855#125C24132yes—
856#125C24132yes—
857#125C24116yes—
858#125C24116yes—
859#125C24132yes—
860#125C24164yes—
861#125C24164yes—
862#125C24116yes—
863#125C24132yes—
864#125C24132yes—
865#125C24116yes—
866#125C24116yes—
867#125C24116yes—
868#125C24132yes—
869#125C24132yes—
870#125C24132yes—
871#125C24132yes—
872#125C24164yes—
873#125C24164yes—
874#125C24164yes—
875#125C24164yes—
876#125C24164yes—
877#124C24116yes—
878#124C24132yes—
879#124C24116yes—
880#124C24116yes—
881#124C24116yes—
882#124C24116yes—
883#124C24132yes—
884#124C24164yes—
885#124C24132yes—
886#124C24164yes—
887#124C24132yes—
888#124C24116yes—
889#124C24132yes—
890#124C24164yes—
891#124C24164yes—
892#124C24164yes—
893#124C24164yes—
894#123C24132yes—
895#123C24132yes—
896#123C24164yes—
897#123C24164yes—
898#123C24164yes—
899#123C24164yes—
900#123C24164yes—
901#123C24132yes—
902#123C24164yes—
903#123C24132yes—
904#123C24164yes—
905#123C24132yes—
906#123C24164yes—
907#123C24132yes—
908#123C24164yes—
909#123C24132yes—
910#123C24164yes—
911#123C24164yes—
912#123C24164yes—
913#123C24164yes—
914#123C24164yes—
915#123C24164yes—
916C22⋊Q8C24132yes—
917C22⋊Q8C24164yes—
918C22⋊Q8C24132yes—
919C22⋊Q8C24164yes—
920C22⋊Q8C24164yes—
921C22⋊Q8C24164yes—
922C22⋊Q8C24164yes—
923C22⋊Q8C24116yes—
924C22⋊Q8C24132yes—
925C22⋊Q8C24164yes—
926C22⋊Q8C24132yes—
927C22⋊Q8C24164yes—
928C22⋊Q8C24132yes—
929C22⋊Q8C24164yes—
930C22⋊Q8C24132yes—
931C22⋊Q8C24116yes—
932C22⋊Q8C24132yes—
933C22⋊Q8C24116yes—
934C22⋊Q8C24132yes—
935C22⋊Q8C24116yes—
936C22⋊Q8C24132yes—
937C22⋊Q8C24116yes—
938C22⋊Q8C24132yes—
939C22⋊Q8C24132yes—
940C22⋊Q8C24116yes—
941C22⋊Q8C24116yes—
942C22⋊Q8C24132yes—
943C22⋊Q8C24164yes—
944C22⋊Q8C24132yes—
945C22⋊Q8C24132yes—
946C22⋊Q8C24132yes—
947C22⋊Q8C24132yes—
948C22⋊Q8C24164yes—
949C22⋊Q8C24132yes—
950C22⋊Q8C24132yes—
951C22⋊Q8C24164yes—
952C22⋊Q8C24164yes—
953C22⋊Q8C24164yes—
954C22⋊Q8C24164yes—
955C22⋊Q8C24164yes—
956C22⋊Q8C24164yes—
957C22⋊Q8C24164yes—
958#121C24116yes—
959#121C24132yes—
960#121C24164yes—
961#121C24132yes—
962#121C24164yes—
963#121C24164yes—
964#121C24132yes—
965#121C24132yes—
966#121C24116yes—
967#121C24116yes—
968#121C24116yes—
969#121C24132yes—
970#121C24116yes—
971#121C24132yes—
972#121C24116yes—
973#121C24132yes—
974#121C24132yes—
975#121C24116yes—
976#121C24132yes—
977#121C24116yes—
978#121C24132yes—
979#121C24164yes—
980#121C24116yes—
981#121C24132yes—
982#121C24164yes—
983#121C24132yes—
984#121C24132yes—
985#121C24164yes—
986#121C24164yes—
987#121C24164yes—
988#121C24164yes—
989#121C24164yes—
990#120C24132yes—
991#120C24164yes—
992#120C24132yes—
993C4×Q8C2418yes—
994C4×Q8C2418yes—
995C4×Q8C2418yes—
996C4×Q8C24116yes—
997C4×Q8C2418yes—
998C4×Q8C24116yes—
999C4×Q8C24116yes—
1000C4×Q8C24116yes—
1001C4×Q8C24132yes—
1002C4×Q8C24116yes—
1003C4×Q8C24132yes—
1004C4×Q8C24116yes—
1005C4×Q8C2418yes—
1006C4×Q8C24116yes—
1007C4×Q8C2418yes—
1008C4×Q8C24116yes—
1009C4×Q8C2418yes—
1010C4×Q8C2418yes—
1011C4×Q8C24116yes—
1012C4×Q8C24116yes—
1013C4×Q8C24132yes—
1014C4×Q8C24132yes—
1015C4×Q8C24132yes—
1016C4×Q8C24132yes—
1017C4×Q8C24164yes—
1018C4×Q8C24116yes—
1019C4×Q8C24132yes—
1020C4×Q8C24132yes—
1021C4×Q8C24164yes—
1022C4×Q8C24132yes—
1023C4×D4C24116yes—
1024C4×D4C24116yes—
1025C4×D4C24132yes—
1026C4×D4C24132yes—
1027C4×D4C24132yes—
1028C4×D4C24132yes—
1029C4×D4C24116yes—
1030C4×D4C24116yes—
1031C4×D4C24116yes—
1032C4×D4C24116yes—
1033C4×D4C24132yes—
1034C4×D4C24132yes—
1035C4×D4C2418yes—
1036C4×D4C2418yes—
1037C4×D4C24116yes—
1038C4×D4C24116yes—
1039C4×D4C24116yes—
1040C4×D4C24132yes—
1041C4×D4C24116yes—
1042C4×D4C24132yes—
1043C4×D4C2418yes—
1044C4×D4C2418yes—
1045C4×D4C24116yes—
1046C4×D4C24116yes—
1047C4×D4C24116yes—
1048C4×D4C24116yes—
1049C4×D4C24132yes—
1050C4×D4C24132yes—
1051C4×D4C24164yes—
1052C4×D4C24164yes—
1053C4×D4C24164yes—
1054C4×D4C24132yes—
1055C4×D4C24132yes—
1056C4×D4C24132yes—
1057C4×D4C24164yes—
1058C4×D4C24164yes—
1059C4×D4C24164yes—
1060C4×D4C24164yes—
1061C4×D4C24164yes—
1062C4×D4C24132yes—
1063C4×D4C24132yes—
1064C4×D4C24132yes—
1065C4×D4C24164yes—
1066C4×D4C24132yes—
1067C4×D4C24116yes—
1068C4×D4C24164yes—
1069#117C2418yes—
1070#117C2418yes—
1071#117C24116yes—
1072#117C24132yes—
1073#117C24116yes—
1074#117C24132yes—
1075#117C24116yes—
1076#117C24116yes—
1077#117C24132yes—
1078#117C24132yes—
1079#117C24132yes—
1080#117C24132yes—
1081#117C24132yes—
1082#117C24132yes—
1083#117C24164yes—
1084#117C24132yes—
1085#117C24164yes—
1086#117C24164yes—
1087#117C24164yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2418yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2418yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C24132yes—
1101C2×C4⋊C4C2418yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C24132yes—
1104C2×C4⋊C4C24116yes—
1105C2×C4⋊C4C24132yes—
1106C2×C4⋊C4C24164yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2418yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2418yes—
1115C2×C4⋊C4C2418yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2418yes—
1120C2×C4⋊C4C24116yes—
1121C2×C4⋊C4C2418yes—
1122C2×C4⋊C4C2418yes—
1123C2×C4⋊C4C2418yes—
1124C2×C4⋊C4C2418yes—
1125C2×C4⋊C4C2418yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C24116yes—
1131C2×C4⋊C4C24116yes—
1132C2×C4⋊C4C24132yes—
1133C2×C4⋊C4C24132yes—
1134C2×C4⋊C4C24132yes—
1135C2×C4⋊C4C24132yes—
1136C2×C4⋊C4C24164yes—
1137C2×C4⋊C4C24132yes—
1138C2×C4⋊C4C24132yes—
1139C2×C4⋊C4C24164yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2418yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C22⋊C4C2418yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2418yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C24132yes—
1167C2×C22⋊C4C24116yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2418yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2418yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2418yes—
1186C2×C22⋊C4C2418yes—
1187C2×C22⋊C4C2418yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2418yes—
1193C2×C22⋊C4C2418yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2414yes—
1200C2×C42C2412yes—
1201C2×C42C2418yes—
1202C2×C42C2418yes—
1203C2×C42C2418yes—
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2414yes—
1219C2×C42C24116yes—
1220C2×C42C2418yes—
1221C2×C42C2412yes—
1222C2×C42C24132yes—
1223C2×C42C24116yes—
1224C2×C42C24132yes—
1225C2×C42C24116yes—
1226C24—28no—
1227C24—44no—
1228C24—44no—
1229C24C2514yes—
1230C24C2512yes—
1231C24C2512yes—
1232C24C2514yes—
1233C24C2511yescharacteristic
1234C24C2518yes—
1235#41—232no—
1236#41—232no—
1237#41—264no—
1238#41—464no—
1239#41—464no—
1240#41—432no—
1241#41—864no—
1242#41—864no—
1243#41—832no—
1244C2×Q8—24no—
1245C2×Q8—28no—
1246C2×Q8—24no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—28no—
1250C2×Q8—44no—
1251C2×Q8—48no—
1252C2×Q8—48no—
1253C2×Q8—44no—
1254C2×Q8—48no—
1255C2×Q8—416no—
1256C2×Q8—48no—
1257C2×Q8—48no—
1258C2×Q8—416no—
1259C2×Q8—432no—
1260C2×Q8—816no—
1261C2×Q8—832no—
1262C2×Q8C2514yes—
1263C2×Q8C2518yes—
1264C2×Q8C2514yes—
1265C2×Q8C2514yes—
1266C2×Q8C2514yes—
1267C2×Q8C2518yes—
1268C2×Q8C2518yes—
1269C2×Q8C25116yes—
1270C2×Q8C25116yes—
1271C2×Q8C25116yes—
1272C2×Q8C25116yes—
1273C2×Q8C25116yes—
1274C2×Q8C25132yes—
1275C2×Q8C2518yes—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—216no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—232no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—28no—
1285C2×D4—28no—
1286C2×D4—48no—
1287C2×D4—48no—
1288C2×D4—48no—
1289C2×D4—416no—
1290C2×D4—48no—
1291C2×D4—48no—
1292C2×D4—48no—
1293C2×D4—416no—
1294C2×D4—48no—
1295C2×D4—416no—
1296C2×D4—44no—
1297C2×D4C2518yes—
1298C2×D4C2518yes—
1299C2×D4C25116yes—
1300C2×D4C2518yes—
1301C2×D4C2514yes—
1302C2×D4C2518yes—
1303C2×D4C2514yes—
1304C2×D4C2518yes—
1305C2×D4C2518yes—
1306C2×D4C25116yes—
1307C2×D4C25132yes—
1308C2×D4C25116yes—
1309C2×D4C25116yes—
1310C2×D4C25116yes—
1311C2×D4C25116yes—
1312C2×D4C25116yes—
1313C2×D4C25132yes—
1314C2×D4C25132yes—
1315C2×D4C25116yes—
1316C2×D4C2518yes—
1317C22×C4—216no—
1318C22×C4—28no—
1319C22×C4—28no—
1320C22×C4—24no—
1321C22×C4—216no—
1322C22×C4—28no—
1323C22×C4—28no—
1324C22×C4—432no—
1325C22×C4—44no—
1326C22×C4—48no—
1327C22×C4—44no—
1328C22×C4—48no—
1329C22×C4—416no—
1330C22×C4—416no—
1331C22×C4—44no—
1332C22×C4—48no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—416no—
1336C22×C4—416no—
1337C22×C4—48no—
1338C22×C4—48no—
1339C22×C4—48no—
1340C22×C4—416no—
1341C22×C4—44no—
1342C22×C4—832no—
1343C22×C42−1+418yes—
1344C22×C4C2518yes—
1345C22×C4C2514yes—
1346C22×C4C25116yes—
1347C22×C4C2518yes—
1348C22×C4C2518yes—
1349C22×C4C2518yes—
1350C22×C4C25116yes—
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2514yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2514yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2514yes—
1366C22×C4C2518yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2518yes—
1370C22×C4C2514yes—
1371C22×C4C2518yes—
1372C22×C4C25116yes—
1373C22×C4C25116yes—
1374C22×C4C25116yes—
1375C22×C4C2518yes—
1376C22×C4C25116yes—
1377C22×C4C2518yes—
1378C22×C4C2518yes—
1379C22×C4C25116yes—
1380C22×C4C25132yes—
1381C22×C4C25132yes—
1382C22×C4C25132yes—
1383C22×C4C25132yes—
1384C22×C4C25132yes—
1385C22×C4C25116yes—
1386C22×C4C2514yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C4⋊C4C2514yes—
1391C4⋊C4C2514yes—
1392C4⋊C4C2518yes—
1393C4⋊C4C2514yes—
1394C4⋊C4C25116yes—
1395C4⋊C4C25132yes—
1396C4⋊C4C2518yes—
1397C4⋊C4C25116yes—
1398C4⋊C4C2518yes—
1399C4⋊C4C25116yes—
1400C4⋊C4C2518yes—
1401C4⋊C4C25132yes—
1402C4⋊C4C25116yes—
1403C4⋊C4C2518yes—
1404C4⋊C4C2518yes—
1405C4⋊C4C25116yes—
1406C4⋊C4C25116yes—
1407C4⋊C4C25116yes—
1408C4⋊C4C25132yes—
1409C4⋊C4C2518yes—
1410C4⋊C4C25132yes—
1411C4⋊C4C25132yes—
1412C4⋊C4C2518yes—
1413C4⋊C4C25116yes—
1414C4⋊C4C25116yes—
1415C4⋊C4C25132yes—
1416C4⋊C4C25132yes—
1417C4⋊C4C25132yes—
1418C4⋊C4C25132yes—
1419C4⋊C4C25132yes—
1420C4⋊C4C2518yes—
1421C4⋊C4C25116yes—
1422C4⋊C4C2518yes—
1423C4⋊C4C25116yes—
1424C4⋊C4C2514yes—
1425C4⋊C4C2518yes—
1426C4⋊C4C25116yes—
1427C4⋊C4C25116yes—
1428C4⋊C4C25116yes—
1429C4⋊C4C25132yes—
1430C4⋊C4C2514yes—
1431C4⋊C4C2514yes—
1432C4⋊C4C25116yes—
1433C4⋊C4C2518yes—
1434C4⋊C4C2518yes—
1435C4⋊C4C25116yes—
1436C4⋊C4C25116yes—
1437C4⋊C4C2518yes—
1438C4⋊C4C25116yes—
1439C4⋊C4C25116yes—
1440C4⋊C4C2518yes—
1441C4⋊C4C25116yes—
1442C4⋊C4C25116yes—
1443C4⋊C4C2518yes—
1444C4⋊C4C25116yes—
1445C4⋊C4C2518yes—
1446C22⋊C4C25132yes—
1447C22⋊C4C25116yes—
1448C22⋊C4C25132yes—
1449C22⋊C4C25116yes—
1450C22⋊C4C25116yes—
1451C22⋊C4C25116yes—
1452C22⋊C4C25132yes—
1453C22⋊C4C25116yes—
1454C22⋊C4C25116yes—
1455C22⋊C4C25116yes—
1456C22⋊C4C2518yes—
1457C22⋊C4C2518yes—
1458C22⋊C4C25116yes—
1459C22⋊C4C25116yes—
1460C22⋊C4C25116yes—
1461C22⋊C4C25116yes—
1462C22⋊C4C25132yes—
1463C22⋊C4C25116yes—
1464C22⋊C4C25116yes—
1465C22⋊C4C2518yes—
1466C22⋊C4C25116yes—
1467C22⋊C4C25132yes—
1468C22⋊C4C25132yes—
1469C22⋊C4C25132yes—
1470C22⋊C4C2518yes—
1471C22⋊C4C2518yes—
1472C22⋊C4C25116yes—
1473C22⋊C4C2518yes—
1474C22⋊C4C25132yes—
1475C22⋊C4C25132yes—
1476C22⋊C4C25116yes—
1477C22⋊C4C25116yes—
1478C22⋊C4C25116yes—
1479C22⋊C4C25116yes—
1480C42C2518yes—
1481C42C2518yes—
1482C42C2514yes—
1483C42C2518yes—
1484C42C2514yes—
1485C42C25116yes—
1486C42C25116yes—
1487C42C2518yes—
1488C42C2518yes—
1489C42C2514yes—
1490C42C2518yes—
1491C42C2514yes—
1492C42C2518yes—
1493C42C2518yes—
1494C42C25116yes—
1495C42C25116yes—
1496C42C2518yes—
1497C42C25116yes—
1498C42C2518yes—
1499C42C25132yes—
1500C42C25132yes—
1501C42C25132yes—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—24no—
1506C23—28no—
1507C23—216no—
1508C23—28no—
1509C23—24no—
1510C23—28no—
1511C23—24no—
1512C23—28no—
1513C23—24no—
1514C23—28no—
1515C23—24no—
1516C23—28no—
1517C23—48no—
1518C23—48no—
1519C23—432no—
1520C23C2×2−1+414yes—
1521C23C2618yes—
1522C23C2614yes—
1523C23C2614yes—
1524C23C2618yes—
1525C23C2612yes—
1526C23C2611yescharacteristic
1527Q8—28no—
1528Q8—216no—
1529Q8—28no—
1530Q8—28no—
1531Q8—28no—
1532Q8—216no—
1533Q8—48no—
1534Q8—416no—
1535Q8—416no—
1536Q8—48no—
1537Q8—416no—
1538Q8—432no—
1539Q8—416no—
1540Q8—416no—
1541D4—216no—
1542D4—216no—
1543D4—232no—
1544D4—216no—
1545D4—216no—
1546D4—28no—
1547D4—28no—
1548D4—216no—
1549D4—216no—
1550D4—416no—
1551D4—416no—
1552D4—416no—
1553D4—432no—
1554D4—416no—
1555D4—416no—
1556D4—416no—
1557D4—432no—
1558D4—416no—
1559D4—432no—
1560D4—48no—
1561C2×C4—28no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—28no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—28no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—216no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—28no—
1578C2×C4—22no—
1579C2×C4—232no—
1580C2×C4—216no—
1581C2×C4—216no—
1582C2×C4—28no—
1583C2×C4—232no—
1584C2×C4—216no—
1585C2×C4—216no—
1586C2×C4—48no—
1587C2×C4—416no—
1588C2×C4—48no—
1589C2×C4—416no—
1590C2×C4—432no—
1591C2×C4—432no—
1592C2×C4—48no—
1593C2×C4—416no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—432no—
1597C2×C4—432no—
1598C2×C4—416no—
1599C2×C4—416no—
1600C2×C4—416no—
1601C2×C4—432no—
1602C2×C4—48no—
1603C2×C4C2×2−1+414yes—
1604C2×C4C2×2−1+414yes—
1605C2×C4C2×2−1+4116yes—
1606C2×C4#58514yes—
1607C2×C4C2614yes—
1608C2×C4C2618yes—
1609C2×C4C2614yes—
1610C2×C4C2614yes—
1611C2×C4C2614yes—
1612C2×C4C2614yes—
1613C2×C4C2612yes—
1614C2×C4C2614yes—
1615C2×C4C2614yes—
1616C2×C4C2618yes—
1617C2×C4C2614yes—
1618C2×C4C2612yes—
1619C2×C4C2618yes—
1620C2×C4C2612yes—
1621C2×C4C2618yes—
1622C2×C4C26116yes—
1623C2×C4C2614yes—
1624C2×C4C2614yes—
1625C2×C4C2612yes—
1626C2×C4C2612yes—
1627C2×C4C2612yes—
1628C22—22no—
1629C22—22no—
1630C22—28no—
1631C22—24no—
1632C22—24no—
1633C22—28no—
1634C22—28no—
1635C22—24no—
1636C22—28no—
1637C22—24no—
1638C22—28no—
1639C22—24no—
1640C22—28no—
1641C22—24no—
1642C22—28no—
1643C22—432no—
1644C22—48no—
1645C22—48no—
1646C22—416no—
1647C22—416no—
1648C22C22×2−1+414yes—
1649C22C22×2−1+412yes—
1650C22C2×#58512yes—
1651C22H(7,𝔽2)12yes—
1652C22C2711yescharacteristic
1653C4—28no—
1654C4—24no—
1655C4—24no—
1656C4—28no—
1657C4—22no—
1658C4—24no—
1659C4—24no—
1660C4—24no—
1661C4—28no—
1662C4—24no—
1663C4—24no—
1664C4—24no—
1665C4—24no—
1666C4—216no—
1667C4—22no—
1668C4—24no—
1669C4—28no—
1670C4—22no—
1671C4C22×2−1+414yes—
1672C4C22×2−1+414yes—
1673C4C2×#58514yes—
1674C2—24no—
1675C2—44no—
1676C2—44no—
1677C2—48no—
1678C2—48no—
1679C2#6292614yesdirect product factor
1680C2C23×2−1+411yescharacteristic
1681C2C22×#58511yescharacteristic
1682C2C2×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC23C26
commutator, Frattini, cosocleC22C27
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62926C2direct (N × H)
2. C2×#3512C2semidirect
3. C2×#3504C2semidirect
4. C2×#3511C2semidirect
5. C2×#3511C2semidirect
6. C2×#3503C2semidirect
7. C2×#3522C2semidirect
8. C2×#3515C2semidirect
9. C2×#3507C2semidirect
10. C2×#3506C2semidirect
11. C2×#3506C2semidirect
12. C2×#3492C2semidirect
13. C2×#3548C2semidirect
14. C2×#3555C2semidirect
15. C2×#3547C2semidirect
16. C2×#3544C2semidirect
17. C2×#3554C2semidirect
18. C2×#3565C2semidirect
19. C2×#3557C2semidirect
20. C2×#3559C2semidirect
21. C2×#3541C2semidirect
22. C2×#3541C2semidirect
23. C2×Q8×#41C2semidirect
24. C2×#3480C2semidirect
25. C22×#554C2semidirect
26. C2×#3460C2semidirect
27. C2×#3460C2semidirect
28. #3565C22semidirect
29. #3559C22semidirect
30. #3557C22semidirect
31. #3555C22semidirect
32. #3554C22semidirect
33. #3548C22semidirect
34. #3547C22semidirect
35. #3544C22semidirect
36. #3541C22semidirect
37. #3541C22semidirect
38. C2×#563C22semidirect
39. C2×#563C22semidirect
40. C2×#563C22semidirect
41. C2×#562C22semidirect
42. C2×#562C22semidirect
43. C2×#562C22semidirect
44. #3522C22semidirect
45. #3515C22semidirect
46. #3512C22semidirect
47. #3511C22semidirect
48. #3511C22semidirect
49. #3507C22semidirect
50. #3506C22semidirect
51. #3506C22semidirect
52. #3504C22semidirect
53. #3503C22semidirect
54. #3492C22semidirect
55. #3480C22semidirect
59. C2×#559C22semidirect
60. C2×#559C22semidirect
61. Q8×#41C22semidirect
62. C2×Q82C22semidirect
63. C2×Q82C22semidirect
64. C2×#557C22semidirect
65. C2×#557C22semidirect
66. C2×#557C22semidirect
67. C2×#557C22semidirect
68. C2×#557C22semidirect
69. C2×#557C22semidirect
72. C2×#556C22semidirect
73. C2×#556C22semidirect
74. C2×#556C22semidirect
75. C2×#556C22semidirect
76. C2×#556C22semidirect
79. C2×#555C22semidirect
91. C2×#554C22semidirect
92. C2×#554C22semidirect
93. C2×#554C22semidirect
94. C2×#554C22semidirect
95. C2×#554C22semidirect
96. C2×#554C22semidirect
97. C2×#554C22semidirect
106. C2×#553C22semidirect
107. C2×#553C22semidirect
108. C2×#552C22semidirect
109. C2×#552C22semidirect
110. C2×#552C22semidirect
111. C2×#552C22semidirect
112. C2×#552C22semidirect
113. C2×#552C22semidirect
114. C2×#552C22semidirect
117. C2×#550C22semidirect
120. C2×D4×Q8C22semidirect
121. C2×D4×Q8C22semidirect
124. C2×#548C22semidirect
125. C2×#548C22semidirect
128. C2×#547C22semidirect
129. C2×#547C22semidirect
130. C2×#547C22semidirect
131. C2×#547C22semidirect
132. C2×#547C22semidirect
133. C2×#547C22semidirect
134. #3460C22semidirect
135. #3460C22semidirect
138. C2×#544C22semidirect
139. C2×#544C22semidirect
140. C2×#544C22semidirect
141. C2×#544C22semidirect
146. C2×#542C22semidirect
147. C2×#542C22semidirect
148. C2×#542C22semidirect
149. C2×#542C22semidirect
150. C2×#542C22semidirect
151. C2×#542C22semidirect
152. C2×#541C22semidirect
153. C2×#541C22semidirect
154. C2×#541C22semidirect
159. C2×#540C22semidirect
160. C2×#539C22semidirect
161. C2×#539C22semidirect
162. C2×#539C22semidirect
163. C2×#539C22semidirect
164. C2×#539C22semidirect
171. C2×#537C22semidirect
172. C2×#537C22semidirect
173. C2×#537C22semidirect
174. C2×#536C22semidirect
175. C2×#536C22semidirect
181. C2×#533C22semidirect
182. C2×#533C22semidirect
183. C2×#533C22semidirect
184. C2×#533C22semidirect
185. C2×#533C22semidirect
192. C2×#532C22semidirect
194. C22×C4⋊Q8C22semidirect
199. C2×#529C22semidirect
200. C2×#529C22semidirect
201. C2×#529C22semidirect
202. C2×#529C22semidirect
204. C22×#125C22semidirect
214. C2×#520C22semidirect
215. C2×#520C22semidirect
220. C2×C4×#41C22semidirect
222. C22×C4×Q8C22semidirect
242. #563C23semidirect
243. #563C23semidirect
244. #563C23semidirect
245. #562C23semidirect
246. #562C23semidirect
247. #562C23semidirect
251. #559C23semidirect
252. #559C23semidirect
253. Q82C23semidirect
254. Q82C23semidirect
255. #557C23semidirect
256. #557C23semidirect
257. #557C23semidirect
258. #557C23semidirect
259. #557C23semidirect
260. #557C23semidirect
263. #556C23semidirect
264. #556C23semidirect
265. #556C23semidirect
266. #556C23semidirect
267. #556C23semidirect
270. #555C23semidirect
282. #554C23semidirect
283. #554C23semidirect
284. #554C23semidirect
285. #554C23semidirect
286. #554C23semidirect
287. #554C23semidirect
296. #553C23semidirect
297. #553C23semidirect
298. #552C23semidirect
299. #552C23semidirect
300. #552C23semidirect
301. #552C23semidirect
302. #552C23semidirect
303. #552C23semidirect
304. #552C23semidirect
307. #550C23semidirect
310. D4×Q8C23semidirect
311. D4×Q8C23semidirect
314. #548C23semidirect
315. #548C23semidirect
318. #547C23semidirect
319. #547C23semidirect
320. #547C23semidirect
321. #547C23semidirect
322. #547C23semidirect
323. #547C23semidirect
326. #544C23semidirect
327. #544C23semidirect
328. #544C23semidirect
329. #544C23semidirect
334. #542C23semidirect
335. #542C23semidirect
336. #542C23semidirect
337. #542C23semidirect
338. #542C23semidirect
339. #542C23semidirect
340. #541C23semidirect
341. #541C23semidirect
342. #541C23semidirect
347. #540C23semidirect
348. #539C23semidirect
349. #539C23semidirect
350. #539C23semidirect
351. #539C23semidirect
352. #539C23semidirect
359. #537C23semidirect
360. #537C23semidirect
361. #537C23semidirect
362. #536C23semidirect
363. #536C23semidirect
369. #533C23semidirect
370. #533C23semidirect
371. #533C23semidirect
372. #533C23semidirect
373. #533C23semidirect
380. #532C23semidirect
405. C2×C4⋊Q8C23semidirect
415. #529C23semidirect
416. #529C23semidirect
417. #529C23semidirect
418. #529C23semidirect
459. C2×#125C23semidirect
585. #520C23semidirect
586. #520C23semidirect
591. C4×#41C23semidirect
623. C2×C4×Q8C23semidirect
1679. C2#62926direct (N × H)

Maximal subgroups

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

subgroupindex
#629262
C2×#35122
C2×#35042
C2×#35112
C2×#35032
C2×#35222
C2×#35152
C2×#35072
C2×#35062
C2×#34922
C2×#35482
C2×#35552
C2×#35472
C2×#35442
C2×#35542
C2×#35652
C2×#35572
C2×#35592
C2×#35412
C2×Q8×#412
C2×#34802
C22×#5542
C2×#34602