Finite Group Databasebeta

← C107×#33560 #41059524

Subgroups — C107×#33560 #41059524

Order 27392.

1132 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3551C211yesmaximal, characteristic, complemented
2C107×#3028C211yesmaximal, characteristic, complemented
3C107×#3027C211yesmaximal, characteristic, complemented
4C107×#3018C211yesmaximal, characteristic, complemented
5C107×#2200C214yesmaximal, complemented
6C107×#2197C214yesmaximal, complemented
7C107×#2126C211yesmaximal, characteristic, complemented
8C107×#2123C211yesmaximal, characteristic, complemented
9C107×#2122C211yesmaximal, characteristic, complemented
10#585×C107C2211yescharacteristic
11#575×C107—21no—
12#563×C107—21no—
13#560×C107C2212yescomplemented
14#555×C107—21no—
15#553×C107—21no—
16#552×C107—21no—
17#551×C107C2212yescomplemented
18#548×C107—21no—
19#546×C107—21no—
20#540×C107—22no—
21#538×C107—22no—
22#537×C107—21no—
23#536×C107—21no—
24#536×C107C2211yescharacteristic
25#535×C107—21no—
26#535×C107C2211yescharacteristic
27#532×C107C2211yescharacteristic
28#529×C107—21no—
29#458×C107—22no—
30#458×C107C2214yes—
31B(4,𝔽2)×C107—22no—
32B(4,𝔽2)×C107C2214yes—
33#456×C107—21no—
34#455×C107C2212yes—
35#454×C107—21no—
36#453×C107C2212yes—
37C2×#104×C107—21no—
38#413×C107C2211yescharacteristic
39#410×C107—21no—
40#410×C107—21no—
41#410×C107C2211yescharacteristic
42#410×C107C2211yescharacteristic
43#354×C107C2212yescomplemented
44#353×C107C2212yescomplemented
45#352×C107C2214yescomplemented
46AΣL(1,𝔽16)×C107C2214yescomplemented
472−1+4×C107—21no—
482−1+4×C107—41no—
49H(5,𝔽2)×C107—21no—
50H(5,𝔽2)×C107—21no—
51H(5,𝔽2)×C107—41no—
52H(5,𝔽2)×C107C2312yes—
53C2×#41×C107—21no—
54C2×#41×C107—21no—
55C2×#41×C107—21no—
56C2×#41×C107—21no—
57C2×#41×C107—42no—
58C2×#41×C107D411yescharacteristic, complemented
59C2×#41×C107C2311yescharacteristic
60C22×Q8×C107D411yescharacteristic, complemented
61C22×D4×C107D411yescharacteristic
62#137×C107—22no—
63#137×C107—41no—
64AGL(1,ℤ/8)×C107—22no—
65AGL(1,ℤ/8)×C107—41no—
66#135×C107—42no—
67C2×M16×C107—21no—
68C4⋊Q8×C107—21no—
69C4⋊Q8×C107—41no—
70C4⋊Q8×C107D411yescharacteristic, complemented
71#127×C107—21no—
72#127×C107—41no—
73#127×C107C2311yescharacteristic
74#126×C107—22no—
75#126×C107—22no—
76#126×C107—22no—
77#125×C107—21no—
78#125×C107—22no—
79#124×C107—21no—
80#124×C107—22no—
81#124×C107—21no—
82#124×C107—21no—
83#124×C107—41no—
84#124×C107—41no—
85#124×C107D411yescharacteristic, complemented
86#124×C107C2311yescharacteristic
87#123×C107—22no—
88#123×C107—22no—
89#123×C107—22no—
90#123×C107—22no—
91#123×C107—24no—
92#123×C107D412yescomplemented
93#123×C107C2312yes—
94C22⋊Q8×C107—21no—
95C22⋊Q8×C107—22no—
96C22⋊Q8×C107—22no—
97C22⋊Q8×C107—21no—
98C22⋊Q8×C107—21no—
99C22⋊Q8×C107—42no—
100#121×C107—22no—
101#121×C107—22no—
102#121×C107—21no—
103#121×C107—22no—
104#121×C107—21no—
105#121×C107—21no—
106#121×C107—22no—
107#121×C107—21no—
108#121×C107—21no—
109#121×C107—22no—
110#121×C107—22no—
111#121×C107—42no—
112#120×C107—22no—
113#120×C107—24no—
114#120×C107D412yes—
115#120×C107C2312yes—
116C4×Q8×C107—21no—
117C4×D4×C107—22no—
118C4×D4×C107—21no—
119C4×D4×C107—22no—
120C4×D4×C107—21no—
121C4×D4×C107—21no—
122C4×D4×C107—22no—
123#117×C107—22no—
124#117×C107—22no—
125#117×C107—21no—
126#117×C107—21no—
127#117×C107D411yescharacteristic
128#117×C107D411yescharacteristic, complemented
129C2×C4⋊C4×C107—21no—
130C2×C22⋊C4×C107—22no—
131C2×C42×C107D411yescharacteristic, complemented
132#104×C107—22no—
133#104×C107—22no—
134#101×C107—21no—
135#100×C107C2312yes—
136#99×C107—21no—
137#99×C107—21no—
138#99×C107—24no—
139#99×C107—24no—
140#99×C107C2312yes—
141#99×C107C2312yes—
142C24×C107C2×D412yes—
143#41×C107—22no—
144#41×C107—22no—
145#41×C107—41no—
146#41×C107—41no—
147#41×C107—42no—
148#41×C107—41no—
149#41×C107—41no—
150#41×C107—41no—
151#41×C107—41no—
152#41×C107—41no—
153#41×C107—42no—
154#41×C107—42no—
155#41×C107—41no—
156#41×C107—41no—
157#41×C107—42no—
158#41×C107—41no—
159#41×C107—41no—
160#41×C107—41no—
161#41×C107—81no—
162#41×C107—81no—
163C2×Q8×C107—21no—
164C2×Q8×C107—21no—
165C2×Q8×C107—21no—
166C2×Q8×C107—21no—
167C2×Q8×C107—21no—
168C2×Q8×C107—41no—
169C2×Q8×C107—41no—
170C2×Q8×C107—42no—
171C2×Q8×C107C2×D411yescharacteristic
172C2×Q8×C107C2×D411yescharacteristic
173C2×D4×C107—21no—
174C2×D4×C107—21no—
175C2×D4×C107—21no—
176C2×D4×C107—22no—
177C2×D4×C107—22no—
178C2×D4×C107—22no—
179C2×D4×C107—22no—
180C2×D4×C107—22no—
181C2×D4×C107—21no—
182C2×D4×C107—21no—
183C2×D4×C107—22no—
184C2×D4×C107—21no—
185C2×D4×C107—21no—
186C2×D4×C107—21no—
187C2×D4×C107—41no—
188C2×D4×C107—41no—
189C2×D4×C107—42no—
190C2×D4×C107—42no—
191C2×D4×C107—42no—
192C2×D4×C107—41no—
193C2×D4×C107—44no—
194C2×D4×C107C2×D411yescharacteristic
195C2×D4×C107C2×D411yescharacteristic
196C2×D4×C107C2×D411yescharacteristic
197C2×D4×C107C2411yescharacteristic
198C22×C4×C107—22no—
199C22×C4×C107—22no—
200C22×C4×C107—22no—
201C22×C4×C107—22no—
202C22×C4×C107—22no—
203C22×C4×C107—21no—
204C22×C4×C107—21no—
205C22×C4×C107—41no—
206C22×C4×C107C2×D411yescharacteristic
207C22×C4×C107C2×D411yescharacteristic
208C22×C4×C107C2×D411yescharacteristic
209C22×C4×C107C2×D412yes—
210Q16×C107—42no—
211SD16×C107—42no—
212SD16×C107—42no—
213D8×C107—42no—
214M16×C107—22no—
215M16×C107—41no—
216C2×C8×C107—41no—
217C4⋊C4×C107—22no—
218C4⋊C4×C107—22no—
219C4⋊C4×C107—22no—
220C4⋊C4×C107—22no—
221C4⋊C4×C107—22no—
222C4⋊C4×C107—22no—
223C4⋊C4×C107—21no—
224C4⋊C4×C107—21no—
225C4⋊C4×C107—21no—
226C4⋊C4×C107—21no—
227C4⋊C4×C107—22no—
228C4⋊C4×C107—41no—
229C4⋊C4×C107—41no—
230C4⋊C4×C107—44no—
231C22⋊C4×C107—22no—
232C22⋊C4×C107—22no—
233C22⋊C4×C107—22no—
234C22⋊C4×C107—22no—
235C22⋊C4×C107—22no—
236C22⋊C4×C107—22no—
237C22⋊C4×C107—21no—
238C22⋊C4×C107—22no—
239C22⋊C4×C107—21no—
240C22⋊C4×C107—21no—
241C22⋊C4×C107—21no—
242C22⋊C4×C107—22no—
243C22⋊C4×C107—22no—
244C22⋊C4×C107—22no—
245C22⋊C4×C107—22no—
246C22⋊C4×C107—44no—
247C22⋊C4×C107—44no—
248C22⋊C4×C107C2×D412yes—
249C22⋊C4×C107C2×D412yes—
250C42×C107—22no—
251C42×C107—21no—
252C42×C107—21no—
253C42×C107—21no—
254C42×C107—41no—
255C42×C107—41no—
256C42×C107C2×D411yescharacteristic
257C42×C107C2×D411yescharacteristic
258C23×C107—22no—
259C23×C107—22no—
260C23×C107—22no—
261C23×C107—21no—
262C23×C107—41no—
263C23×C107—42no—
264C23×C107—82no—
265C23×C107#12011yescharacteristic
266C23×C107C22×D411yescharacteristic
267C23×C107C22×D411yescharacteristic
268Q8×C107—22no—
269Q8×C107—41no—
270Q8×C107—41no—
271Q8×C107—41no—
272Q8×C107—41no—
273Q8×C107—41no—
274Q8×C107—41no—
275Q8×C107—41no—
276Q8×C107—81no—
277D4×C107—22no—
278D4×C107—41no—
279D4×C107—41no—
280D4×C107—41no—
281D4×C107—41no—
282D4×C107—41no—
283D4×C107—41no—
284D4×C107—42no—
285D4×C107—42no—
286D4×C107—42no—
287D4×C107—42no—
288D4×C107—41no—
289D4×C107—41no—
290D4×C107—41no—
291D4×C107—81no—
292D4×C107—81no—
293D4×C107—82no—
294D4×C107—82no—
295D4×C107—82no—
296D4×C107—81no—
297D4×C107—81no—
298D4×C107—82no—
299D4×C107—164no—
300C2×C4×C107—21no—
301C2×C4×C107—21no—
302C2×C4×C107—21no—
303C2×C4×C107—21no—
304C2×C4×C107—21no—
305C2×C4×C107—21no—
306C2×C4×C107—22no—
307C2×C4×C107—22no—
308C2×C4×C107—21no—
309C2×C4×C107—22no—
310C2×C4×C107—21no—
311C2×C4×C107—22no—
312C2×C4×C107—22no—
313C2×C4×C107—21no—
314C2×C4×C107—42no—
315C2×C4×C107—42no—
316C2×C4×C107—42no—
317C2×C4×C107—41no—
318C2×C4×C107—42no—
319C2×C4×C107—41no—
320C2×C4×C107—41no—
321C2×C4×C107—42no—
322C2×C4×C107—42no—
323C2×C4×C107—42no—
324C2×C4×C107—82no—
325C2×C4×C107—81no—
326C2×C4×C107—82no—
327C2×C4×C107—82no—
328C2×C4×C107#12011yescharacteristic
329C2×C4×C107#12011yescharacteristic
330C2×C4×C107#12011yescharacteristic
331C2×C4×C107C22×D411yescharacteristic
332C8×C107—42no—
333C22×C107—21no—
334C22×C107—21no—
335C22×C107—21no—
336C22×C107—41no—
337C22×C107—41no—
338C22×C107—41no—
339C22×C107—41no—
340C22×C107—42no—
341C22×C107—41no—
342C22×C107—42no—
343C22×C107—42no—
344C22×C107—41no—
345C22×C107—42no—
346C22×C107—82no—
347C22×C107—84no—
348C22×C107—82no—
349C22×C107—161no—
350C22×C107C2×#12011yescharacteristic
351C4×C107—21no—
352C4×C107—21no—
353C4×C107—21no—
354C4×C107—41no—
355C4×C107—42no—
356C4×C107—42no—
357C4×C107—41no—
358C4×C107—42no—
359C4×C107—41no—
360C4×C107—42no—
361C4×C107—82no—
362C4×C107—82no—
363C4×C107B(4,𝔽2)11yescharacteristic
364C4×C107B(4,𝔽2)11yescharacteristic
365#33560C10711yesmaximal, characteristic, direct product factor, Sylow
366C2×C107—21no—
367C2×C107—41no—
368C2×C107—41no—
369C2×C107—41no—
370C2×C107—81no—
371C2×C107—82no—
372C2×C107—82no—
373C2×C107C2×B(4,𝔽2)11yescharacteristic
374#3551C2×C10711yescharacteristic, complemented
375#3028C2×C10711yescharacteristic, complemented
376#3027C2×C10711yescharacteristic, complemented
377#3018C2×C10711yescharacteristic, complemented
378#2200C2×C10714yescomplemented
379#2197C2×C10714yescomplemented
380#2126C2×C10711yescharacteristic, complemented
381#2123C2×C10711yescharacteristic, complemented
382#2122C2×C10711yescharacteristic, complemented
383C107#3356011yescharacteristic, direct product factor, Sylow
384#585C22×C10711yescharacteristic
385#575—21no—
386#563—21no—
387#560C22×C10712yescomplemented
388#555—21no—
389#553—21no—
390#552—21no—
391#551C22×C10712yescomplemented
392#548—21no—
393#546—21no—
394#540—22no—
395#538—22no—
396#537—21no—
397#536—21no—
398#536C22×C10711yescharacteristic
399#535—21no—
400#535C22×C10711yescharacteristic
401#532C22×C10711yescharacteristic
402#529—21no—
403#458—22no—
404#458C22×C10714yes—
405B(4,𝔽2)—22no—
406B(4,𝔽2)C22×C10714yes—
407#456—21no—
408#455C22×C10712yes—
409#454—21no—
410#453C22×C10712yes—
411C2×#104—21no—
412#413C22×C10711yescharacteristic
413#410—21no—
414#410—21no—
415#410C22×C10711yescharacteristic
416#410C22×C10711yescharacteristic
417#354C22×C10712yescomplemented
418#353C22×C10712yescomplemented
419#352C22×C10714yescomplemented
420AΣL(1,𝔽16)C22×C10714yescomplemented
4212−1+4—21no—
4222−1+4—41no—
423H(5,𝔽2)—21no—
424H(5,𝔽2)—21no—
425H(5,𝔽2)—41no—
426H(5,𝔽2)C23×C10712yes—
427C2×#41—21no—
428C2×#41—21no—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—42no—
432C2×#41D4×C10711yescharacteristic, complemented
433C2×#41C23×C10711yescharacteristic
434C22×Q8D4×C10711yescharacteristic, complemented
435C22×D4D4×C10711yescharacteristic
436#137—22no—
437#137—41no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440#135—42no—
441C2×M16—21no—
442C4⋊Q8—21no—
443C4⋊Q8—41no—
444C4⋊Q8D4×C10711yescharacteristic, complemented
445#127—21no—
446#127—41no—
447#127C23×C10711yescharacteristic
448#126—22no—
449#126—22no—
450#126—22no—
451#125—21no—
452#125—22no—
453#124—21no—
454#124—22no—
455#124—21no—
456#124—21no—
457#124—41no—
458#124—41no—
459#124D4×C10711yescharacteristic, complemented
460#124C23×C10711yescharacteristic
461#123—22no—
462#123—22no—
463#123—22no—
464#123—22no—
465#123—24no—
466#123D4×C10712yescomplemented
467#123C23×C10712yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—42no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—22no—
478#121—21no—
479#121—21no—
480#121—22no—
481#121—21no—
482#121—21no—
483#121—22no—
484#121—22no—
485#121—42no—
486#120—22no—
487#120—24no—
488#120D4×C10712yes—
489#120C23×C10712yes—
490C4×Q8—21no—
491C4×D4—22no—
492C4×D4—21no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—22no—
497#117—22no—
498#117—22no—
499#117—21no—
500#117—21no—
501#117D4×C10711yescharacteristic
502#117D4×C10711yescharacteristic, complemented
503C2×C4⋊C4—21no—
504C2×C22⋊C4—22no—
505C2×C42D4×C10711yescharacteristic, complemented
506#104—22no—
507#104—22no—
508#101—21no—
509#100C23×C10712yes—
510#99—21no—
511#99—21no—
512#99—24no—
513#99—24no—
514#99C23×C10712yes—
515#99C23×C10712yes—
516C24C2×D4×C10712yes—
517#41—22no—
518#41—22no—
519#41—41no—
520#41—41no—
521#41—42no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—41no—
533#41—41no—
534#41—41no—
535#41—81no—
536#41—81no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—41no—
543C2×Q8—41no—
544C2×Q8—42no—
545C2×Q8C2×D4×C10711yescharacteristic
546C2×Q8C2×D4×C10711yescharacteristic
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—41no—
567C2×D4—44no—
568C2×D4C2×D4×C10711yescharacteristic
569C2×D4C2×D4×C10711yescharacteristic
570C2×D4C2×D4×C10711yescharacteristic
571C2×D4C24×C10711yescharacteristic
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—41no—
580C22×C4C2×D4×C10711yescharacteristic
581C22×C4C2×D4×C10711yescharacteristic
582C22×C4C2×D4×C10711yescharacteristic
583C22×C4C2×D4×C10712yes—
584Q16—42no—
585SD16—42no—
586SD16—42no—
587D8—42no—
588M16—22no—
589M16—41no—
590C2×C8—41no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—22no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—44no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—44no—
621C22⋊C4—44no—
622C22⋊C4C2×D4×C10712yes—
623C22⋊C4C2×D4×C10712yes—
624C42—22no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—41no—
629C42—41no—
630C42C2×D4×C10711yescharacteristic
631C42C2×D4×C10711yescharacteristic
632C23—22no—
633C23—22no—
634C23—22no—
635C23—21no—
636C23—41no—
637C23—42no—
638C23—82no—
639C23#120×C10711yescharacteristic
640C23C22×D4×C10711yescharacteristic
641C23C22×D4×C10711yescharacteristic
642Q8—22no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—81no—
651D4—22no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—81no—
666D4—81no—
667D4—82no—
668D4—82no—
669D4—82no—
670D4—82no—
671D4—81no—
672D4—81no—
673D4—164no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—82no—
699C2×C4—82no—
700C2×C4—81no—
701C2×C4—82no—
702C2×C4#120×C10711yescharacteristic
703C2×C4#120×C10711yescharacteristic
704C2×C4#120×C10711yescharacteristic
705C2×C4C22×D4×C10711yescharacteristic
706C8—42no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—42no—
715C22—41no—
716C22—42no—
717C22—42no—
718C22—41no—
719C22—42no—
720C22—82no—
721C22—84no—
722C22—82no—
723C22—161no—
724C22C2×#120×C10711yescharacteristic
725C4—21no—
726C4—21no—
727C4—21no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4—41no—
732C4—42no—
733C4—41no—
734C4—42no—
735C4—82no—
736C4—82no—
737C4B(4,𝔽2)×C10711yescharacteristic
738C4B(4,𝔽2)×C10711yescharacteristic
739C2—21no—
740C2—41no—
741C2—41no—
742C2—41no—
743C2—82no—
744C2—81no—
745C2—82no—
746C2C2×B(4,𝔽2)×C10711yescharacteristic
subgroupG/H
center, socleC2×C107C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C107
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C107 ◁ C2×C4×C107 ◁ C2×#41×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#3551C2semidirect
2. C107×#3028C2semidirect
3. C107×#3027C2semidirect
4. C107×#3018C2semidirect
5. C107×#2200C2semidirect
6. C107×#2197C2semidirect
7. C107×#2126C2semidirect
8. C107×#2123C2semidirect
9. C107×#2122C2semidirect
13. #560×C107C22semidirect
17. #551×C107C22semidirect
43. #354×C107C22semidirect
44. #353×C107C22semidirect
45. #352×C107C22semidirect
46. AΣL(1,𝔽16)×C107C22semidirect
58. C2×#41×C107D4semidirect
60. C22×Q8×C107D4semidirect
70. C4⋊Q8×C107D4semidirect
85. #124×C107D4semidirect
92. #123×C107D4semidirect
128. #117×C107D4semidirect
131. C2×C42×C107D4semidirect
365. #33560C107direct (N × H)
374. #3551C2×C107semidirect
375. #3028C2×C107semidirect
376. #3027C2×C107semidirect
377. #3018C2×C107semidirect
378. #2200C2×C107semidirect
379. #2197C2×C107semidirect
380. #2126C2×C107semidirect
381. #2123C2×C107semidirect
382. #2122C2×C107semidirect
383. C107#33560direct (N × H)
387. #560C22×C107semidirect
391. #551C22×C107semidirect
417. #354C22×C107semidirect
418. #353C22×C107semidirect
419. #352C22×C107semidirect
420. AΣL(1,𝔽16)C22×C107semidirect
432. C2×#41D4×C107semidirect
434. C22×Q8D4×C107semidirect
444. C4⋊Q8D4×C107semidirect
459. #124D4×C107semidirect
466. #123D4×C107semidirect
502. #117D4×C107semidirect
505. C2×C42D4×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#35512
C107×#30282
C107×#30272
C107×#30182
C107×#22002
C107×#21972
C107×#21262
C107×#21232
C107×#21222
#33560107