Finite Group Databasebeta

← C2×#22610936 #33112776

Subgroups — C2×#22610936 #33112776

Order 18688.

2526 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#11924017C211yesmaximal, characteristic, complemented
2C22×#14556570C211yesmaximal, characteristic, complemented
3C22×#14556565C211yesmaximal, characteristic
4C22×#14556516C211yesmaximal, characteristic, complemented
5C22×#14556513C211yesmaximal, characteristic, complemented
6#22610936C218yesmaximal, direct product factor
7C2×#17988350C211yesmaximal, characteristic, complemented
8C22×C22⋊C8×C73C211yesmaximal, characteristic, complemented
9C23×Dic146C2211yescharacteristic
10C23×D292C2211yescharacteristic
11C23×C22⋊D73—21no—
12C22×#11924017—24no—
13C22×#11924017—24no—
14C22×#11924017—24no—
15C22×#11924017C2214yescomplemented
16C2×#14556570—24no—
17C2×#14556570—24no—
18C2×#14556570—22no—
19C2×#14556570C2214yescomplemented
20C2×#14556565—24no—
21C2×#14556565—24no—
22C2×#14556565—22no—
23C2×#14556565C2214yes—
24C22×C4⋊Dic73C2211yescharacteristic
25C22×C4⋊Dic73C2211yescharacteristic
26C22×#11924007—21no—
27C22×C22⋊Dic73—21no—
28C22×#11924005—21no—
29C2×#14556516—24no—
30C2×#14556516C2214yescomplemented
31C2×#14556513—24no—
32C2×#14556513C2214yescomplemented
33#17988350C2214yescomplemented
34C24×C4×C73C2211yescharacteristic
35C23×C8×C73C2211yescharacteristic
36C23×C8×C73C2211yescharacteristic
37C2×C22⋊C8×C73—24no—
38C2×C22⋊C8×C73C2214yescomplemented
39C24×D73—21no—
40C22×Dic146—22no—
41C22×Dic146—21no—
42C22×Dic146—22no—
43C22×Dic146—22no—
44C22×Dic146—22no—
45C22×Dic146—22no—
46C22×Dic146D414yescomplemented
47C22×Dic146C2312yes—
48C22×D292—22no—
49C22×D292—22no—
50C22×D292—22no—
51C22×D292—22no—
52C22×D292—21no—
53C22×D292—22no—
54C22×D292D414yes—
55C22×D292C2312yes—
56C22×C22⋊D73—28no—
57C22×C22⋊D73—24no—
58C22×C22⋊D73—44no—
59C22×C22⋊D73—44no—
60C23×Dic73—21no—
61C23×Dic73—21no—
62C23×Dic73—21no—
63C2×#11924017—232no—
64C2×#11924017—28no—
65C2×#11924017—28no—
66C2×#11924017—28no—
67#14556570—216no—
68#14556570—28no—
69#14556570—28no—
70#14556565—216no—
71#14556565—28no—
72#14556565—28no—
73C2×C4⋊Dic73—22no—
74C2×C4⋊Dic73—21no—
75C2×C4⋊Dic73—22no—
76C2×C4⋊Dic73—21no—
77C2×C4⋊Dic73D414yes—
78C2×C4⋊Dic73D414yescomplemented
79C2×C4⋊Dic73C2312yes—
80C2×C4⋊Dic73C2312yes—
81C2×#11924007—28no—
82C2×#11924007—24no—
83C2×C22⋊Dic73—28no—
84C2×C22⋊Dic73—24no—
85C2×#11924005—28no—
86C2×#11924005—24no—
87#14556516—28no—
88#14556513—28no—
89C25×C73D411yescharacteristic
90C23×C4×C73—22no—
91C23×C4×C73—22no—
92C23×C4×C73—22no—
93C23×C4×C73—22no—
94C23×C4×C73—22no—
95C23×C4×C73—22no—
96C23×C4×C73D411yescharacteristic
97C23×C4×C73D412yes—
98C23×C4×C73C2312yes—
99C23×C4×C73C2311yescharacteristic
100C22×C8×C73—22no—
101C22×C8×C73—22no—
102C22×C8×C73—22no—
103C22×C8×C73—22no—
104C22×C8×C73—22no—
105C22×C8×C73D414yescomplemented
106C22×C8×C73C2312yes—
107C22×C8×C73C2312yes—
108C22⋊C8×C73—28no—
109C23×D73—24no—
110C23×D73—22no—
111C23×D73—42no—
112C23×D73—42no—
113C23×D73—42no—
114C23×D73—42no—
115C23×D73—42no—
116C23×D73—42no—
117C2×Dic146—28no—
118C2×Dic146—28no—
119C2×Dic146—22no—
120C2×Dic146—22no—
121C2×Dic146—22no—
122C2×Dic146—22no—
123C2×Dic146—24no—
124C2×Dic146—22no—
125C2×Dic146—42no—
126C2×Dic146—44no—
127C2×Dic146—42no—
128C2×Dic146—44no—
129C2×Dic146C2×D414yescomplemented
130C2×D292—28no—
131C2×D292—28no—
132C2×D292—22no—
133C2×D292—22no—
134C2×D292—22no—
135C2×D292—22no—
136C2×D292—24no—
137C2×D292—22no—
138C2×D292—42no—
139C2×D292—44no—
140C2×D292—42no—
141C2×D292—44no—
142C2×D292C2×D414yes—
143C2×C22⋊D73—216no—
144C2×C22⋊D73—48no—
145C2×C22⋊D73—432no—
146C2×C22⋊D73—48no—
147C22×Dic73—24no—
148C22×Dic73—24no—
149C22×Dic73—24no—
150C22×Dic73—22no—
151C22×Dic73—22no—
152C22×Dic73—22no—
153C22×Dic73—42no—
154C22×Dic73—42no—
155C22×Dic73—42no—
156C22×Dic73—42no—
157C22×Dic73—42no—
158C22×Dic73—42no—
159#11924017—232no—
160C4⋊Dic73—24no—
161C4⋊Dic73—24no—
162C4⋊Dic73—22no—
163C4⋊Dic73—22no—
164C4⋊Dic73C2×D414yes—
165C4⋊Dic73C2×D414yescomplemented
166#11924007—216no—
167C22⋊Dic73—216no—
168#11924005—216no—
169C24×C73—22no—
170C24×C73—22no—
171C24×C73—22no—
172C24×C73—22no—
173C24×C73—22no—
174C24×C73—22no—
175C24×C73SD1614yescomplemented
176C24×C73C2×D412yes—
177C24×C73C2×D411yescharacteristic
178C22×C4×C73—22no—
179C22×C4×C73—22no—
180C22×C4×C73—22no—
181C22×C4×C73—24no—
182C22×C4×C73—24no—
183C22×C4×C73—24no—
184C22×C4×C73—22no—
185C22×C4×C73—22no—
186C22×C4×C73—22no—
187C22×C4×C73—22no—
188C22×C4×C73—22no—
189C22×C4×C73—22no—
190C22×C4×C73—44no—
191C22×C4×C73—44no—
192C22×C4×C73—44no—
193C22×C4×C73—44no—
194C22×C4×C73C2×D412yes—
195C22×C4×C73C2×D412yes—
196C22×C4×C73C2×D412yes—
197C22×C4×C73C2×D412yes—
198C22×C4×C73C2×D412yes—
199C22×C4×C73C2×D412yes—
200C22×C4×C73C2×D411yescharacteristic
201C22×C4×C73#4112yes—
202C22×C4×C73C2411yescharacteristic
203C2×C8×C73—28no—
204C2×C8×C73—22no—
205C2×C8×C73—22no—
206C2×C8×C73—22no—
207C2×C8×C73—22no—
208C2×C8×C73—22no—
209C2×C8×C73—44no—
210C2×C8×C73C2×D414yescomplemented
211C23×C73—22no—
212C23×C73—22no—
213C23×C73—22no—
214C23×C73—22no—
215C23×C73—22no—
216C23×C73—22no—
217C23×C73—28no—
218C23×C73—28no—
219C23×C73—28no—
220C23×C73—44no—
221C23×C73—44no—
222C23×C73—44no—
223C23×C73—44no—
224C23×C73#12012yes—
225C23×C73#12012yes—
226C23×C73#12112yes—
227C23×C73C2×SD1612yes—
228C23×C73C2×SD1614yescomplemented
229C23×C73#13512yes—
230C23×C73AGL(1,ℤ/8)12yes—
231C23×C73#13712yes—
232C23×C73C22×D411yescharacteristic
233C22×D73—24no—
234C22×D73—42no—
235C22×D73—42no—
236C22×D73—42no—
237C22×D73—42no—
238C22×D73—42no—
239C22×D73—42no—
240C22×D73—48no—
241C22×D73—48no—
242C22×D73—48no—
243C22×D73—84no—
244C22×D73—84no—
245C22×D73—84no—
246C22×D73—84no—
247C2×C4×C73—22no—
248C2×C4×C73—22no—
249C2×C4×C73—22no—
250C2×C4×C73—44no—
251C2×C4×C73—42no—
252C2×C4×C73—42no—
253C2×C4×C73—42no—
254C2×C4×C73—42no—
255C2×C4×C73—48no—
256C2×C4×C73#12014yes—
257C2×C4×C73#12012yes—
258C2×C4×C73#12012yes—
259C2×C4×C73#12114yes—
260C2×C4×C73#12114yes—
261C2×C4×C73#12112yes—
262C2×C4×C73#12714yes—
263C2×C4×C73C22×D411yescharacteristic
264C2×C4×C73C22×D411yescharacteristic
265C2×C4×C73C22×D411yescharacteristic
266C2×C4×C73C22×D411yescharacteristic
267C2×C4×C73C22×D411yescharacteristic
268C2×C4×C73C2×#4111yescharacteristic
269C22⋊D73—432no—
270C2×Dic73—24no—
271C2×Dic73—24no—
272C2×Dic73—24no—
273C2×Dic73—42no—
274C2×Dic73—42no—
275C2×Dic73—42no—
276C2×Dic73—42no—
277C2×Dic73—42no—
278C2×Dic73—42no—
279C2×Dic73—48no—
280C2×Dic73—48no—
281C2×Dic73—48no—
282D292—24no—
283D292—24no—
284D292—42no—
285D292—42no—
286D292—48no—
287Dic146—24no—
288Dic146—24no—
289Dic146—42no—
290Dic146—42no—
291Dic146—48no—
292C8×C73—24no—
293C8×C73—42no—
294C22×C73—24no—
295C22×C73—24no—
296C22×C73—24no—
297C22×C73—42no—
298C22×C73—42no—
299C22×C73—42no—
300C22×C73—416no—
301C22×C73—42no—
302C22×C73#39214yes—
303C22×C73#44814yes—
304C22×C73#44914yes—
305C22×C73#45014yes—
306C22×C73#45214yes—
307C22×C73#46514yes—
308C22×C73#46814yes—
309C22×C73C2×#12011yescharacteristic
310C22×C73C2×#12011yescharacteristic
311C22×C73C2×#12111yescharacteristic
312C22×C73C22×SD1611yescharacteristic
313C22×C73C2×#13511yescharacteristic
314C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C73C2×#13711yescharacteristic
316C2×D73—44no—
317C2×D73—44no—
318C2×D73—44no—
319C2×D73—82no—
320C2×D73—82no—
321C2×D73—816no—
322C2×D73—82no—
323C2×D73—82no—
324C4×C73—42no—
325C4×C73#39214yes—
326C4×C73C2×#12011yescharacteristic
327C4×C73C2×#12111yescharacteristic
328C4×C73C2×#12111yescharacteristic
329C4×C73C2×#12711yescharacteristic
330Dic73—44no—
331Dic73—44no—
332Dic73—44no—
333C2×#2000—731nomaximal, Sylow
334C2×C73—44no—
335C2×C73#200018yescomplemented
336C2×C73C2×#39211yescharacteristic
337C2×C73C2×#45011yescharacteristic
338C2×C73C2×#44811yescharacteristic
339C2×C73C2×#44911yescharacteristic
340C2×C73C2×#45211yescharacteristic
341C2×C73C2×#46511yescharacteristic
342C2×C73C2×#46811yescharacteristic
343D73—84no—
344C23×SD16—731no—
345C22×C22⋊Q8—731no—
346C22×#121—731no—
347C22×#103—731no—
348C22×#102—731no—
349C22×C22⋊C8D7311yescharacteristic, complemented
350#2000—738no—
351C2×#340—731no—
352C73C2×#200011yescharacteristic, complemented, Sylow
353C23×Q8—731no—
354C23×D4—731no—
355C23×D4—1461no—
356C24×C4C2×D7311yescharacteristic
357C22×SD16—734no—
358C22×SD16—1464no—
359C22×SD16—1464no—
360C22×SD16—1464no—
361C23×C8C2×D7311yescharacteristic
362C23×C8C2×D7311yescharacteristic
363C2×C22⋊Q8—734no—
364C2×C22⋊Q8—1464no—
365C2×C22⋊Q8—1464no—
366C2×C22⋊Q8—1462no—
367C2×#121—734no—
368C2×#121—1464no—
369C2×#121—1464no—
370C2×#121—1462no—
371C22×C4⋊C4—731no—
372C22×C4⋊C4—731no—
373C22×C4⋊C4—1461no—
374C22×C22⋊C4—1461no—
375C22×C22⋊C4—1461no—
376C2×#103—734no—
377C2×#103—1464no—
378C2×#102—734no—
379C2×#102—1464no—
380C2×C22⋊C8—24no—
381C2×C22⋊C8C2×D7314yescomplemented
382#340—734no—
383C25—1461no—
384C25D29211yescharacteristic
385C22×Q8—734no—
386C22×Q8—732no—
387C22×Q8—1462no—
388C22×Q8—1462no—
389C22×Q8—1462no—
390C22×Q8—1462no—
391C22×Q8—1462no—
392C22×Q8—1461no—
393C22×D4—2924no—
394C22×D4—2924no—
395C22×D4—734no—
396C22×D4—732no—
397C22×D4—1468no—
398C22×D4—1464no—
399C22×D4—1462no—
400C22×D4—1462no—
401C22×D4—1462no—
402C22×D4—1462no—
403C22×D4—1461no—
404C22×D4—1462no—
405C23×C4—22no—
406C23×C4—22no—
407C23×C4—22no—
408C23×C4—22no—
409C23×C4—22no—
410C23×C4—22no—
411C23×C4—1461no—
412C23×C4—1461no—
413C23×C4—1461no—
414C23×C4D29212yes—
415C23×C4D29211yescharacteristic
416C23×C4C22×D7312yes—
417C23×C4C22×D7311yescharacteristic
418C2×SD16—1468no—
419C2×SD16—1468no—
420C2×SD16—14632no—
421C2×SD16—1468no—
422C22×C8—22no—
423C22×C8—22no—
424C22×C8—22no—
425C22×C8—22no—
426C22×C8—22no—
427C22×C8C22⋊D7314yescomplemented
428C22×C8C22×D7312yes—
429C22×C8C22×D7312yes—
430C22⋊Q8—1468no—
431C22⋊Q8—1468no—
432C22⋊Q8—14616no—
433#121—1468no—
434#121—1468no—
435#121—14616no—
436C2×C4⋊C4—734no—
437C2×C4⋊C4—734no—
438C2×C4⋊C4—732no—
439C2×C4⋊C4—732no—
440C2×C4⋊C4—1468no—
441C2×C4⋊C4—1462no—
442C2×C4⋊C4—1462no—
443C2×C4⋊C4—1461no—
444C2×C4⋊C4—1461no—
445C2×C4⋊C4—1464no—
446C2×C22⋊C4—1468no—
447C2×C22⋊C4—1468no—
448C2×C22⋊C4—1464no—
449C2×C22⋊C4—1464no—
450#103—1468no—
451#102—1468no—
452C22⋊C8—28no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—2922no—
460C24—2922no—
461C24—2922no—
462C24—2922no—
463C24—2922no—
464C24—2922no—
465C24—1464no—
466C24—1462no—
467C24#1192401714yescomplemented
468C24C2×D29212yes—
469C24C2×D29211yescharacteristic
470C2×Q8—2922no—
471C2×Q8—2924no—
472C2×Q8—2922no—
473C2×Q8—2924no—
474C2×Q8—734no—
475C2×Q8—1468no—
476C2×Q8—1468no—
477C2×Q8—1462no—
478C2×Q8—1462no—
479C2×Q8—1462no—
480C2×Q8—1462no—
481C2×Q8—1464no—
482C2×Q8—1462no—
483C2×D4—2928no—
484C2×D4—29232no—
485C2×D4—2928no—
486C2×D4—2922no—
487C2×D4—2924no—
488C2×D4—2922no—
489C2×D4—2924no—
490C2×D4—734no—
491C2×D4—14616no—
492C2×D4—1468no—
493C2×D4—1464no—
494C2×D4—1468no—
495C2×D4—1462no—
496C2×D4—1462no—
497C2×D4—1462no—
498C2×D4—1462no—
499C2×D4—1462no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—2922no—
517C22×C4—2922no—
518C22×C4—2922no—
519C22×C4—2922no—
520C22×C4—2922no—
521C22×C4—2922no—
522C22×C4—1464no—
523C22×C4—1464no—
524C22×C4—1464no—
525C22×C4—1462no—
526C22×C4—1462no—
527C22×C4—1462no—
528C22×C4D4×D7312yes—
529C22×C4D4×D7312yes—
530C22×C4D4×D7312yes—
531C22×C4D4×D7312yes—
532C22×C4C2×C22⋊D7312yes—
533C22×C4C2×D29212yes—
534C22×C4C2×D29211yescharacteristic
535C22×C4#1192402812yes—
536C22×C4C23×D7311yescharacteristic
537SD16—14632no—
538C2×C8—28no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—44no—
545C2×C8C2×C22⋊D7314yescomplemented
546C4⋊C4—734no—
547C4⋊C4—734no—
548C4⋊C4—14616no—
549C4⋊C4—1464no—
550C4⋊C4—1464no—
551C4⋊C4—1462no—
552C4⋊C4—1462no—
553C22⋊C4—14616no—
554C22⋊C4—14616no—
555C23—22no—
556C23—22no—
557C23—28no—
558C23—28no—
559C23—28no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—44no—
565C23—44no—
566C23—44no—
567C23—44no—
568C23—2922no—
569C23—2922no—
570C23—2928no—
571C23—2928no—
572C23—2928no—
573C23—2922no—
574C23—2922no—
575C23—2922no—
576C23—2922no—
577C23—5844no—
578C23—5844no—
579C23—5844no—
580C23—5844no—
581C23—1464no—
582C23#1455656112yes—
583C23#1455656112yes—
584C23#1455656512yes—
585C23C2×#1192401712yes—
586C23C2×#1192401714yescomplemented
587C23#1455661312yes—
588C23#1455661912yes—
589C23#1455662412yes—
590C23C22×D29211yescharacteristic
591Q8—2922no—
592Q8—2928no—
593Q8—2922no—
594Q8—1464no—
595Q8—1464no—
596D4—29232no—
597D4—2922no—
598D4—2928no—
599D4—2922no—
600D4—1464no—
601D4—1464no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—44no—
606C2×C4—42no—
607C2×C4—48no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—2922no—
612C2×C4—2922no—
613C2×C4—2928no—
614C2×C4—2928no—
615C2×C4—2928no—
616C2×C4—2922no—
617C2×C4—2922no—
618C2×C4—2922no—
619C2×C4—2922no—
620C2×C4—1464no—
621C2×C4—1464no—
622C2×C4—1464no—
623C2×C4#1455655914yes—
624C2×C4#1455656112yes—
625C2×C4#1455656112yes—
626C2×C4#1455656414yes—
627C2×C4#1455656414yes—
628C2×C4#1455656512yes—
629C2×C4#1455658714yes—
630C2×C4C2×D4×D7311yescharacteristic
631C2×C4C2×D4×D7311yescharacteristic
632C2×C4C2×D4×D7311yescharacteristic
633C2×C4C2×D4×D7311yescharacteristic
634C2×C4C22×C22⋊D7311yescharacteristic
635C2×C4C2×#1192402811yescharacteristic
636C8—24no—
637C8—42no—
638C22—24no—
639C22—24no—
640C22—24no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—416no—
645C22—42no—
646C22—2924no—
647C22—2924no—
648C22—2924no—
649C22—5842no—
650C22—5842no—
651C22—5842no—
652C22—58416no—
653C22—5842no—
654C22#1798849614yes—
655C22#1798872814yes—
656C22#1798873414yes—
657C22#1798874014yes—
658C22#1798875114yes—
659C22#1798881614yes—
660C22#1798883314yes—
661C22C2×#1455656111yescharacteristic
662C22C2×#1455656111yescharacteristic
663C22C2×#1455656511yescharacteristic
664C22C22×#1192401711yescharacteristic
665C22C2×#1455661311yescharacteristic
666C22C2×#1455661911yescharacteristic
667C22C2×#1455662411yescharacteristic
668C4—42no—
669C4—2924no—
670C4—2924no—
671C4—2924no—
672C4#1798849614yes—
673C4C2×#1455655911yescharacteristic
674C4C2×#1455656411yescharacteristic
675C4C2×#1455656411yescharacteristic
676C4C2×#1455658711yescharacteristic
677C2—44no—
678C2—5844no—
679C2#2261093618yesdirect product factor
680C2C2×#1798849611yescharacteristic
681C2C2×#1798874011yescharacteristic
682C2C2×#1798872811yescharacteristic
683C2C2×#1798873411yescharacteristic
684C2C2×#1798875111yescharacteristic
685C2C2×#1798881611yescharacteristic
686C2C2×#1798883311yescharacteristic
subgroupG/H
centerC24C2×D292
commutator, cosocleC22×C4×C73C24
FrattiniC22×C4C23×D73
FittingC22×C22⋊C8×C73C2
socleC24×C73C2×D4
prime radicalC22×#14556565C2
hypercenterC22×C22⋊C8D73
hypocenterC73C2×#2000
LCSG ▷ C22×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C24 ◁ C24×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C23×#11924017C2semidirect
2. C22×#14556570C2semidirect
4. C22×#14556516C2semidirect
5. C22×#14556513C2semidirect
6. #22610936C2direct (N × H)
7. C2×#17988350C2semidirect
8. C22×C22⋊C8×C73C2semidirect
15. C22×#11924017C22semidirect
19. C2×#14556570C22semidirect
30. C2×#14556516C22semidirect
32. C2×#14556513C22semidirect
33. #17988350C22semidirect
38. C2×C22⋊C8×C73C22semidirect
46. C22×Dic146D4semidirect
78. C2×C4⋊Dic73D4semidirect
105. C22×C8×C73D4semidirect
129. C2×Dic146C2×D4semidirect
165. C4⋊Dic73C2×D4semidirect
175. C24×C73SD16semidirect
210. C2×C8×C73C2×D4semidirect
228. C23×C73C2×SD16semidirect
335. C2×C73#2000semidirect
349. C22×C22⋊C8D73semidirect
352. C73C2×#2000semidirect
381. C2×C22⋊C8C2×D73semidirect
427. C22×C8C22⋊D73semidirect
467. C24#11924017semidirect
545. C2×C8C2×C22⋊D73semidirect
586. C23C2×#11924017semidirect
679. C2#22610936direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#119240172
C22×#145565702
C22×#145565652
C22×#145565162
C22×#145565132
#226109362
C2×#179883502
C22×C22⋊C8×C732
C2×#200073