Finite Group Databasebeta

← C107×#19758 #41045722

Subgroups — C107×#19758 #41045722

Order 27392.

736 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3334C211yesmaximal, characteristic, complemented
2C107×#3294C211yesmaximal, characteristic, complemented
3C107×#3283C211yesmaximal, characteristic, complemented
4C107×#3272C211yesmaximal, characteristic, complemented
5C107×#1722C211yesmaximal, characteristic, complemented
6C107×#1689C211yesmaximal, characteristic, complemented
7C107×#1681C211yesmaximal, characteristic, complemented
8C107×#1673C211yesmaximal, characteristic, complemented
9C107×#1665C211yesmaximal, characteristic, complemented
10C107×#1647C211yesmaximal, characteristic, complemented
11C107×#1647C211yesmaximal, characteristic, complemented
12C107×#1639C211yesmaximal, characteristic, complemented
13C107×#1625C211yesmaximal, characteristic, complemented
14C107×#1581C211yesmaximal, characteristic, complemented
15C107×#1580C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C107—21no—
17C2×#135×C107—21no—
18#547×C107C2211yescharacteristic
19#547×C107C2211yescharacteristic
20#547×C107C2211yescharacteristic, complemented
21D42×C107C2211yescharacteristic
22#500×C107C2211yescharacteristic, complemented
23#500×C107C2211yescharacteristic, complemented
24#494×C107C2211yescharacteristic, complemented
25#492×C107C2211yescharacteristic
26#486×C107C2211yescharacteristic
27#486×C107C2211yescharacteristic
28#480×C107—21no—
29#480×C107—21no—
30#480×C107—21no—
31#474×C107C2211yescharacteristic
32#474×C107C2211yescharacteristic
33#474×C107C2211yescharacteristic, complemented
34#468×C107—21no—
35#467×C107—21no—
36#466×C107—21no—
37#466×C107—21no—
38#461×C107C2211yescharacteristic
39#461×C107C2211yescharacteristic
40#461×C107C2211yescharacteristic, complemented
41#459×C107C2211yescharacteristic
42#459×C107C2211yescharacteristic
43#452×C107—21no—
44#452×C107—21no—
45#450×C107—21no—
46#449×C107—21no—
47#447×C107—21no—
48C4×D8×C107C2211yescharacteristic
49C4×D8×C107C2211yescharacteristic
50#436×C107C2211yescharacteristic
51C8×D4×C107C2211yescharacteristic
52C8×D4×C107C2211yescharacteristic, complemented
53C8×D4×C107C2211yescharacteristic, complemented
54C2×#107×C107—21no—
55C2×#102×C107—21no—
56#335×C107C2211yescharacteristic, complemented
57#334×C107C2211yescharacteristic, complemented
58#332×C107C2211yescharacteristic, complemented
59#332×C107C2211yescharacteristic, complemented
60#332×C107C2211yescharacteristic, complemented
61#331×C107C2211yescharacteristic
62D4⋊C8×C107C2211yescharacteristic
63D4⋊C8×C107C2211yescharacteristic
64D4⋊C8×C107C2211yescharacteristic, complemented
65D4⋊C8×C107C2211yescharacteristic, complemented
66#322×C107C2211yescharacteristic, complemented
67C2×#41×C107—21no—
68C2×#41×C107—21no—
69C2×#41×C107—21no—
70C22×D4×C107—21no—
71C22×D4×C107—21no—
72AGL(1,ℤ/8)×C107—44no—
73#135×C107—44no—
74C2×Q16×C107—21no—
75C2×Q16×C107—21no—
76C2×SD16×C107—21no—
77C2×SD16×C107—21no—
78C2×SD16×C107—21no—
79C2×SD16×C107—21no—
80C2×SD16×C107—21no—
81C2×D8×C107—21no—
82C2×D8×C107—21no—
83C2×D8×C107D411yescharacteristic
84C2×D8×C107D411yescharacteristic
85C2×M16×C107—21no—
86C22×C8×C107—21no—
87C22×C8×C107—21no—
88C22×C8×C107—21no—
89C4⋊Q8×C107C2311yescharacteristic
90C4⋊Q8×C107C2311yescharacteristic
91C4⋊Q8×C107C2311yescharacteristic
92#127×C107C2311yescharacteristic
93#123×C107—41no—
94#123×C107—41no—
95#123×C107—41no—
96C22⋊Q8×C107—21no—
97C22⋊Q8×C107—21no—
98C22⋊Q8×C107—21no—
99#121×C107—21no—
100#121×C107—21no—
101#121×C107—21no—
102#121×C107—21no—
103#121×C107—21no—
104#120×C107—41no—
105C4×D4×C107C2311yescharacteristic
106C4×D4×C107C2311yescharacteristic
107C4×D4×C107C2311yescharacteristic
108C4×D4×C107C2311yescharacteristic
109C2×C4⋊C4×C107—21no—
110C2×C4⋊C4×C107—21no—
111C2×C4⋊C4×C107—21no—
112#107×C107—21no—
113#107×C107—21no—
114#107×C107—21no—
115#107×C107—21no—
116#107×C107—21no—
117#107×C107—41no—
118#107×C107D411yescharacteristic
119#107×C107D411yescharacteristic
120C4⋊C8×C107C2311yescharacteristic
121C4⋊C8×C107C2311yescharacteristic
122C4⋊C8×C107C2311yescharacteristic
123C4⋊C8×C107C2311yescharacteristic
124#103×C107—21no—
125#103×C107—21no—
126#103×C107—21no—
127#102×C107—21no—
128#102×C107—21no—
129#102×C107—21no—
130#102×C107—21no—
131#102×C107—21no—
132#102×C107—21no—
133#102×C107—21no—
134#102×C107—41no—
135#102×C107D411yescharacteristic
136#102×C107D411yescharacteristic
137#102×C107D411yescharacteristic
138#102×C107D411yescharacteristic
139C22⋊C8×C107—21no—
140C22⋊C8×C107—21no—
141C22⋊C8×C107—21no—
142C22⋊C8×C107—21no—
143C4×C8×C107C2311yescharacteristic
144C4×C8×C107C2311yescharacteristic
145C4×C8×C107C2311yescharacteristic
146C24×C107—41no—
147#41×C107—42no—
148#41×C107—42no—
149#41×C107—42no—
150#41×C107—81no—
151#41×C107—81no—
152#41×C107—81no—
153C2×Q8×C107—21no—
154C2×Q8×C107—21no—
155C2×Q8×C107—21no—
156C2×D4×C107—21no—
157C2×D4×C107—21no—
158C2×D4×C107—21no—
159C2×D4×C107—41no—
160C2×D4×C107—41no—
161C2×D4×C107—42no—
162C2×D4×C107—42no—
163C2×D4×C107—41no—
164C2×D4×C107—41no—
165C2×D4×C107—41no—
166C2×D4×C107—81no—
167C2×D4×C107—81no—
168C2×D4×C107C2×D411yescharacteristic
169C2×D4×C107C2×D411yescharacteristic
170C2×D4×C107C2×D411yescharacteristic
171C2×D4×C107C2×D411yescharacteristic
172C22×C4×C107—21no—
173C22×C4×C107—21no—
174C22×C4×C107—21no—
175C22×C4×C107—21no—
176C22×C4×C107—41no—
177C22×C4×C107—41no—
178C22×C4×C107—41no—
179Q16×C107—42no—
180Q16×C107—81no—
181SD16×C107—42no—
182SD16×C107—42no—
183SD16×C107—42no—
184SD16×C107—42no—
185SD16×C107—81no—
186D8×C107—41no—
187D8×C107—42no—
188D8×C107—81no—
189D8×C107D814yescomplemented
190M16×C107—42no—
191C2×C8×C107—21no—
192C2×C8×C107—21no—
193C2×C8×C107—21no—
194C2×C8×C107—21no—
195C2×C8×C107—21no—
196C2×C8×C107—42no—
197C2×C8×C107—42no—
198C2×C8×C107—81no—
199C2×C8×C107C2×D411yescharacteristic
200C2×C8×C107C2×D411yescharacteristic
201C2×C8×C107C2×D411yescharacteristic
202C2×C8×C107C2×D411yescharacteristic
203C4⋊C4×C107—21no—
204C4⋊C4×C107—21no—
205C4⋊C4×C107—21no—
206C4⋊C4×C107—21no—
207C4⋊C4×C107—21no—
208C4⋊C4×C107—21no—
209C4⋊C4×C107—41no—
210C4⋊C4×C107—41no—
211C4⋊C4×C107—41no—
212C4⋊C4×C107C2×D411yescharacteristic
213C4⋊C4×C107C2×D411yescharacteristic
214C4⋊C4×C107C2×D411yescharacteristic
215C4⋊C4×C107C2×D411yescharacteristic
216C22⋊C4×C107—21no—
217C22⋊C4×C107—21no—
218C22⋊C4×C107—21no—
219C22⋊C4×C107—21no—
220C22⋊C4×C107—41no—
221C22⋊C4×C107—41no—
222C22⋊C4×C107—41no—
223C22⋊C4×C107—41no—
224C42×C107C2411yescharacteristic
225C23×C107—21no—
226C23×C107—21no—
227C23×C107—21no—
228C23×C107—21no—
229C23×C107—41no—
230C23×C107—82no—
231C23×C107—82no—
232C23×C107—161no—
233Q8×C107—41no—
234Q8×C107—41no—
235Q8×C107—41no—
236Q8×C107—41no—
237Q8×C107—41no—
238Q8×C107—41no—
239D4×C107—21no—
240D4×C107—21no—
241D4×C107—21no—
242D4×C107—21no—
243D4×C107—21no—
244D4×C107—21no—
245D4×C107—41no—
246D4×C107—41no—
247D4×C107—41no—
248D4×C107—41no—
249D4×C107—81no—
250D4×C107—82no—
251D4×C107—82no—
252D4×C107—82no—
253D4×C107—82no—
254D4×C107—82no—
255D4×C107C2×D812yes—
256D4×C107C2×D812yes—
257C2×C4×C107—21no—
258C2×C4×C107—21no—
259C2×C4×C107—21no—
260C2×C4×C107—21no—
261C2×C4×C107—41no—
262C2×C4×C107—41no—
263C2×C4×C107—41no—
264C2×C4×C107—41no—
265C2×C4×C107—41no—
266C2×C4×C107—41no—
267C2×C4×C107—41no—
268C2×C4×C107—41no—
269C2×C4×C107—41no—
270C2×C4×C107—41no—
271C2×C4×C107—41no—
272C2×C4×C107—82no—
273C2×C4×C107—82no—
274C2×C4×C107—82no—
275C2×C4×C107C22×D411yescharacteristic
276C2×C4×C107C22×D411yescharacteristic
277C2×C4×C107H(5,𝔽2)11yescharacteristic
278C8×C107—21no—
279C8×C107—21no—
280C8×C107—21no—
281C8×C107—41no—
282C8×C107—41no—
283C8×C107—41no—
284C8×C107—41no—
285C8×C107—41no—
286C8×C107C2×D812yes—
287C22×C107—22no—
288C22×C107—22no—
289C22×C107—41no—
290C22×C107—41no—
291C22×C107—41no—
292C22×C107—41no—
293C22×C107—41no—
294C22×C107—41no—
295C22×C107—41no—
296C22×C107—41no—
297C22×C107—41no—
298C22×C107—41no—
299C22×C107—81no—
300C22×C107—81no—
301C22×C107—81no—
302C22×C107—164no—
303C22×C107D4211yescharacteristic
304C4×C107—21no—
305C4×C107—41no—
306C4×C107—41no—
307C4×C107—41no—
308C4×C107—41no—
309C4×C107—81no—
310C4×C107—81no—
311C4×C107—81no—
312C4×C107C22×D811yescharacteristic
313C4×C107#57511yescharacteristic
314C4×C107#57611yescharacteristic
315C4×C107#57711yescharacteristic
316#19758C10711yesmaximal, characteristic, direct product factor, Sylow
317C2×C107—42no—
318C2×C107—42no—
319C2×C107—81no—
320C2×C107—81no—
321C2×C107—161no—
322C2×C107#326711yescharacteristic
323C2×C107D4×D811yescharacteristic
324C2×C107#328911yescharacteristic
325#3334C2×C10711yescharacteristic, complemented
326#3294C2×C10711yescharacteristic, complemented
327#3283C2×C10711yescharacteristic, complemented
328#3272C2×C10711yescharacteristic, complemented
329#1722C2×C10711yescharacteristic, complemented
330#1689C2×C10711yescharacteristic, complemented
331#1681C2×C10711yescharacteristic, complemented
332#1673C2×C10711yescharacteristic, complemented
333#1665C2×C10711yescharacteristic, complemented
334#1647C2×C10711yescharacteristic, complemented
335#1647C2×C10711yescharacteristic, complemented
336#1639C2×C10711yescharacteristic, complemented
337#1625C2×C10711yescharacteristic, complemented
338#1581C2×C10711yescharacteristic, complemented
339#1580C2×C10711yescharacteristic, complemented
340C107#1975811yescharacteristic, direct product factor, Sylow
341C2×AGL(1,ℤ/8)—21no—
342C2×#135—21no—
343#547C22×C10711yescharacteristic
344#547C22×C10711yescharacteristic
345#547C22×C10711yescharacteristic, complemented
346D42C22×C10711yescharacteristic
347#500C22×C10711yescharacteristic, complemented
348#500C22×C10711yescharacteristic, complemented
349#494C22×C10711yescharacteristic, complemented
350#492C22×C10711yescharacteristic
351#486C22×C10711yescharacteristic
352#486C22×C10711yescharacteristic
353#480—21no—
354#480—21no—
355#480—21no—
356#474C22×C10711yescharacteristic
357#474C22×C10711yescharacteristic
358#474C22×C10711yescharacteristic, complemented
359#468—21no—
360#467—21no—
361#466—21no—
362#466—21no—
363#461C22×C10711yescharacteristic
364#461C22×C10711yescharacteristic
365#461C22×C10711yescharacteristic, complemented
366#459C22×C10711yescharacteristic
367#459C22×C10711yescharacteristic
368#452—21no—
369#452—21no—
370#450—21no—
371#449—21no—
372#447—21no—
373C4×D8C22×C10711yescharacteristic
374C4×D8C22×C10711yescharacteristic
375#436C22×C10711yescharacteristic
376C8×D4C22×C10711yescharacteristic
377C8×D4C22×C10711yescharacteristic, complemented
378C8×D4C22×C10711yescharacteristic, complemented
379C2×#107—21no—
380C2×#102—21no—
381#335C22×C10711yescharacteristic, complemented
382#334C22×C10711yescharacteristic, complemented
383#332C22×C10711yescharacteristic, complemented
384#332C22×C10711yescharacteristic, complemented
385#332C22×C10711yescharacteristic, complemented
386#331C22×C10711yescharacteristic
387D4⋊C8C22×C10711yescharacteristic
388D4⋊C8C22×C10711yescharacteristic
389D4⋊C8C22×C10711yescharacteristic, complemented
390D4⋊C8C22×C10711yescharacteristic, complemented
391#322C22×C10711yescharacteristic, complemented
392C2×#41—21no—
393C2×#41—21no—
394C2×#41—21no—
395C22×D4—21no—
396C22×D4—21no—
397AGL(1,ℤ/8)—44no—
398#135—44no—
399C2×Q16—21no—
400C2×Q16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8D4×C10711yescharacteristic
409C2×D8D4×C10711yescharacteristic
410C2×M16—21no—
411C22×C8—21no—
412C22×C8—21no—
413C22×C8—21no—
414C4⋊Q8C23×C10711yescharacteristic
415C4⋊Q8C23×C10711yescharacteristic
416C4⋊Q8C23×C10711yescharacteristic
417#127C23×C10711yescharacteristic
418#123—41no—
419#123—41no—
420#123—41no—
421C22⋊Q8—21no—
422C22⋊Q8—21no—
423C22⋊Q8—21no—
424#121—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#120—41no—
430C4×D4C23×C10711yescharacteristic
431C4×D4C23×C10711yescharacteristic
432C4×D4C23×C10711yescharacteristic
433C4×D4C23×C10711yescharacteristic
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437#107—21no—
438#107—21no—
439#107—21no—
440#107—21no—
441#107—21no—
442#107—41no—
443#107D4×C10711yescharacteristic
444#107D4×C10711yescharacteristic
445C4⋊C8C23×C10711yescharacteristic
446C4⋊C8C23×C10711yescharacteristic
447C4⋊C8C23×C10711yescharacteristic
448C4⋊C8C23×C10711yescharacteristic
449#103—21no—
450#103—21no—
451#103—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—41no—
460#102D4×C10711yescharacteristic
461#102D4×C10711yescharacteristic
462#102D4×C10711yescharacteristic
463#102D4×C10711yescharacteristic
464C22⋊C8—21no—
465C22⋊C8—21no—
466C22⋊C8—21no—
467C22⋊C8—21no—
468C4×C8C23×C10711yescharacteristic
469C4×C8C23×C10711yescharacteristic
470C4×C8C23×C10711yescharacteristic
471C24—41no—
472#41—42no—
473#41—42no—
474#41—42no—
475#41—81no—
476#41—81no—
477#41—81no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—81no—
492C2×D4—81no—
493C2×D4C2×D4×C10711yescharacteristic
494C2×D4C2×D4×C10711yescharacteristic
495C2×D4C2×D4×C10711yescharacteristic
496C2×D4C2×D4×C10711yescharacteristic
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504Q16—42no—
505Q16—81no—
506SD16—42no—
507SD16—42no—
508SD16—42no—
509SD16—42no—
510SD16—81no—
511D8—41no—
512D8—42no—
513D8—81no—
514D8D8×C10714yescomplemented
515M16—42no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—42no—
522C2×C8—42no—
523C2×C8—81no—
524C2×C8C2×D4×C10711yescharacteristic
525C2×C8C2×D4×C10711yescharacteristic
526C2×C8C2×D4×C10711yescharacteristic
527C2×C8C2×D4×C10711yescharacteristic
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—41no—
537C4⋊C4C2×D4×C10711yescharacteristic
538C4⋊C4C2×D4×C10711yescharacteristic
539C4⋊C4C2×D4×C10711yescharacteristic
540C4⋊C4C2×D4×C10711yescharacteristic
541C22⋊C4—21no—
542C22⋊C4—21no—
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C42C24×C10711yescharacteristic
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—41no—
555C23—82no—
556C23—82no—
557C23—161no—
558Q8—41no—
559Q8—41no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564D4—21no—
565D4—21no—
566D4—21no—
567D4—21no—
568D4—21no—
569D4—21no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—81no—
575D4—82no—
576D4—82no—
577D4—82no—
578D4—82no—
579D4—82no—
580D4C2×D8×C10712yes—
581D4C2×D8×C10712yes—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—82no—
598C2×C4—82no—
599C2×C4—82no—
600C2×C4C22×D4×C10711yescharacteristic
601C2×C4C22×D4×C10711yescharacteristic
602C2×C4H(5,𝔽2)×C10711yescharacteristic
603C8—21no—
604C8—21no—
605C8—21no—
606C8—41no—
607C8—41no—
608C8—41no—
609C8—41no—
610C8—41no—
611C8C2×D8×C10712yes—
612C22—22no—
613C22—22no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—164no—
628C22D42×C10711yescharacteristic
629C4—21no—
630C4—41no—
631C4—41no—
632C4—41no—
633C4—41no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4C22×D8×C10711yescharacteristic
638C4#575×C10711yescharacteristic
639C4#576×C10711yescharacteristic
640C4#577×C10711yescharacteristic
641C2—42no—
642C2—42no—
643C2—81no—
644C2—81no—
645C2—161no—
646C2C107×#326711yescharacteristic
647C2D4×D8×C10711yescharacteristic
648C2C107×#328911yescharacteristic
subgroupG/H
center, socleC22×C107D42
commutator, Frattini, cosocleC42C24×C107
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C107 ◁ C42×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#3334C2semidirect
2. C107×#3294C2semidirect
3. C107×#3283C2semidirect
4. C107×#3272C2semidirect
5. C107×#1722C2semidirect
6. C107×#1689C2semidirect
7. C107×#1681C2semidirect
8. C107×#1673C2semidirect
9. C107×#1665C2semidirect
10. C107×#1647C2semidirect
11. C107×#1647C2semidirect
12. C107×#1639C2semidirect
13. C107×#1625C2semidirect
14. C107×#1581C2semidirect
15. C107×#1580C2semidirect
20. #547×C107C22semidirect
22. #500×C107C22semidirect
23. #500×C107C22semidirect
24. #494×C107C22semidirect
33. #474×C107C22semidirect
40. #461×C107C22semidirect
52. C8×D4×C107C22semidirect
53. C8×D4×C107C22semidirect
56. #335×C107C22semidirect
57. #334×C107C22semidirect
58. #332×C107C22semidirect
59. #332×C107C22semidirect
60. #332×C107C22semidirect
64. D4⋊C8×C107C22semidirect
65. D4⋊C8×C107C22semidirect
66. #322×C107C22semidirect
189. D8×C107D8semidirect
316. #19758C107direct (N × H)
325. #3334C2×C107semidirect
326. #3294C2×C107semidirect
327. #3283C2×C107semidirect
328. #3272C2×C107semidirect
329. #1722C2×C107semidirect
330. #1689C2×C107semidirect
331. #1681C2×C107semidirect
332. #1673C2×C107semidirect
333. #1665C2×C107semidirect
334. #1647C2×C107semidirect
335. #1647C2×C107semidirect
336. #1639C2×C107semidirect
337. #1625C2×C107semidirect
338. #1581C2×C107semidirect
339. #1580C2×C107semidirect
340. C107#19758direct (N × H)
345. #547C22×C107semidirect
347. #500C22×C107semidirect
348. #500C22×C107semidirect
349. #494C22×C107semidirect
358. #474C22×C107semidirect
365. #461C22×C107semidirect
377. C8×D4C22×C107semidirect
378. C8×D4C22×C107semidirect
381. #335C22×C107semidirect
382. #334C22×C107semidirect
383. #332C22×C107semidirect
384. #332C22×C107semidirect
385. #332C22×C107semidirect
389. D4⋊C8C22×C107semidirect
390. D4⋊C8C22×C107semidirect
391. #322C22×C107semidirect
514. D8D8×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#33342
C107×#32942
C107×#32832
C107×#32722
C107×#17222
C107×#16892
C107×#16812
C107×#16732
C107×#16652
C107×#16472
C107×#16392
C107×#16252
C107×#15812
C107×#15802
#19758107