Finite Group Databasebeta

← C107×#33555 #41059519

Subgroups — C107×#33555 #41059519

Order 27392.

1146 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3540C211yesmaximal, characteristic, complemented
2C107×#3027C211yesmaximal, characteristic, complemented
3C107×#3025C211yesmaximal, characteristic, complemented
4C107×#3022C211yesmaximal, characteristic, complemented
5C107×#2199C214yesmaximal, complemented
6C107×#2197C214yesmaximal, complemented
7C107×#2129C211yesmaximal, characteristic, complemented
8C107×#2122C211yesmaximal, characteristic, complemented
9C107×#2120C211yesmaximal, characteristic, complemented
10#585×C107C2211yescharacteristic
11C2×#137×C107—21no—
12H(3,𝔽4)×C107C2212yescomplemented
13#560×C107—21no—
14#559×C107—21no—
15#556×C107—21no—
16#555×C107—21no—
17#551×C107C2212yescomplemented
18#548×C107—21no—
19#546×C107—21no—
20#542×C107—22no—
21#542×C107—21no—
22#538×C107—22no—
23#536×C107C2211yescharacteristic
24#535×C107—21no—
25#535×C107C2211yescharacteristic
26#525×C107—21no—
27#525×C107—21no—
28#525×C107C2211yescharacteristic
29#458×C107—21no—
30#458×C107C2212yes—
31B(4,𝔽2)×C107—21no—
32B(4,𝔽2)×C107—22no—
33B(4,𝔽2)×C107C2214yes—
34B(4,𝔽2)×C107C2212yes—
35#456×C107—22no—
36#455×C107C2214yes—
37#421×C107—21no—
38#413×C107C2211yescharacteristic
39#410×C107—21no—
40#410×C107—21no—
41#410×C107C2211yescharacteristic
42#410×C107C2211yescharacteristic
43#354×C107C2214yescomplemented
44#352×C107C2212yescomplemented
45AΣL(1,𝔽16)×C107C2212yescomplemented
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×C107C2311yescharacteristic
59C22×Q8×C107D411yescharacteristic, complemented
60C22×D4×C107D411yescharacteristic, complemented
61C23×C4×C107D411yescharacteristic, complemented
62#137×C107—24no—
63#137×C107—42no—
64C2×Q16×C107—41no—
65C2×SD16×C107—41no—
66C2×M16×C107—21no—
67C4⋊Q8×C107—21no—
68C4⋊Q8×C107D412yescomplemented
69#127×C107—21no—
70#127×C107—41no—
71#126×C107—22no—
72#126×C107—22no—
73#126×C107—22no—
74#124×C107—22no—
75#124×C107—21no—
76#124×C107—21no—
77#124×C107—22no—
78#124×C107—22no—
79#124×C107—22no—
80#124×C107—22no—
81#124×C107—41no—
82#124×C107C2312yes—
83#123×C107—22no—
84#123×C107—22no—
85#123×C107—21no—
86#123×C107—21no—
87#123×C107—22no—
88#123×C107—22no—
89#123×C107D411yescharacteristic, complemented
90#123×C107C2311yescharacteristic
91C22⋊Q8×C107—21no—
92C22⋊Q8×C107—22no—
93C22⋊Q8×C107—21no—
94C22⋊Q8×C107—22no—
95C22⋊Q8×C107—21no—
96C22⋊Q8×C107—21no—
97C22⋊Q8×C107—41no—
98#121×C107—21no—
99#121×C107—22no—
100#121×C107—22no—
101#121×C107—22no—
102#121×C107—21no—
103#121×C107—21no—
104#121×C107—21no—
105#121×C107—42no—
106#121×C107—41no—
107#120×C107—22no—
108#120×C107—22no—
109#120×C107—22no—
110#120×C107—24no—
111#120×C107D411yescharacteristic, complemented
112#120×C107D412yescomplemented
113#120×C107C2311yescharacteristic
114#120×C107C2312yes—
115C4×Q8×C107—21no—
116C4×Q8×C107—22no—
117C4×D4×C107—22no—
118C4×D4×C107—22no—
119C4×D4×C107—21no—
120C4×D4×C107—22no—
121C4×D4×C107—21no—
122C4×D4×C107—21no—
123C4×D4×C107—42no—
124#117×C107—21no—
125#117×C107—22no—
126#117×C107—21no—
127#117×C107—21no—
128#117×C107D411yescharacteristic, complemented
129#117×C107D411yescharacteristic, complemented
130#117×C107D411yescharacteristic, complemented
131C2×C22⋊C4×C107—22no—
132#104×C107—24no—
133#101×C107—21no—
134#100×C107C2312yes—
135#99×C107—21no—
136#99×C107—21no—
137#99×C107—24no—
138#99×C107—22no—
139#99×C107—22no—
140#99×C107C2312yes—
141#99×C107C2312yes—
142C24×C107C2×D412yes—
143C24×C107C2×D411yescharacteristic
144#41×C107—22no—
145#41×C107—22no—
146#41×C107—41no—
147#41×C107—41no—
148#41×C107—42no—
149#41×C107—41no—
150#41×C107—41no—
151#41×C107—41no—
152#41×C107—41no—
153#41×C107—41no—
154#41×C107—42no—
155#41×C107—42no—
156#41×C107—42no—
157#41×C107—41no—
158#41×C107—41no—
159#41×C107—41no—
160#41×C107—81no—
161#41×C107—81no—
162C2×Q8×C107—21no—
163C2×Q8×C107—21no—
164C2×Q8×C107—22no—
165C2×Q8×C107—21no—
166C2×Q8×C107—21no—
167C2×Q8×C107—41no—
168C2×Q8×C107—41no—
169C2×Q8×C107—42no—
170C2×Q8×C107C2×D412yes—
171C2×Q8×C107C2×D411yescharacteristic
172C2×D4×C107—21no—
173C2×D4×C107—21no—
174C2×D4×C107—21no—
175C2×D4×C107—22no—
176C2×D4×C107—22no—
177C2×D4×C107—22no—
178C2×D4×C107—22no—
179C2×D4×C107—21no—
180C2×D4×C107—22no—
181C2×D4×C107—21no—
182C2×D4×C107—22no—
183C2×D4×C107—21no—
184C2×D4×C107—21no—
185C2×D4×C107—41no—
186C2×D4×C107—41no—
187C2×D4×C107—42no—
188C2×D4×C107—42no—
189C2×D4×C107—42no—
190C2×D4×C107—41no—
191C2×D4×C107—42no—
192C2×D4×C107—44no—
193C2×D4×C107C2×D411yescharacteristic
194C2×D4×C107C2×D411yescharacteristic
195C2×D4×C107C2411yescharacteristic
196C22×C4×C107—22no—
197C22×C4×C107—22no—
198C22×C4×C107—22no—
199C22×C4×C107—22no—
200C22×C4×C107—21no—
201C22×C4×C107—21no—
202C22×C4×C107—21no—
203C22×C4×C107—41no—
204C22×C4×C107—41no—
205C22×C4×C107—41no—
206C22×C4×C107C2×D411yescharacteristic
207C22×C4×C107C2×D411yescharacteristic
208C22×C4×C107C2×D411yescharacteristic
209C22×C4×C107C2×D411yescharacteristic
210Q16×C107—44no—
211SD16×C107—44no—
212M16×C107—22no—
213M16×C107—41no—
214C2×C8×C107—41no—
215C4⋊C4×C107—22no—
216C4⋊C4×C107—22no—
217C4⋊C4×C107—22no—
218C4⋊C4×C107—21no—
219C4⋊C4×C107—21no—
220C4⋊C4×C107—22no—
221C4⋊C4×C107—22no—
222C4⋊C4×C107—21no—
223C4⋊C4×C107—21no—
224C4⋊C4×C107—21no—
225C4⋊C4×C107—41no—
226C4⋊C4×C107—41no—
227C4⋊C4×C107—42no—
228C22⋊C4×C107—22no—
229C22⋊C4×C107—22no—
230C22⋊C4×C107—22no—
231C22⋊C4×C107—22no—
232C22⋊C4×C107—22no—
233C22⋊C4×C107—22no—
234C22⋊C4×C107—21no—
235C22⋊C4×C107—21no—
236C22⋊C4×C107—21no—
237C22⋊C4×C107—22no—
238C22⋊C4×C107—22no—
239C22⋊C4×C107—21no—
240C22⋊C4×C107—22no—
241C22⋊C4×C107—22no—
242C22⋊C4×C107—21no—
243C22⋊C4×C107—22no—
244C22⋊C4×C107—22no—
245C22⋊C4×C107—42no—
246C22⋊C4×C107—44no—
247C22⋊C4×C107—42no—
248C22⋊C4×C107C2×D412yes—
249C22⋊C4×C107C2×D411yescharacteristic
250C22⋊C4×C107C2×D411yescharacteristic
251C42×C107—22no—
252C42×C107—22no—
253C42×C107—21no—
254C42×C107—21no—
255C42×C107—41no—
256C42×C107—41no—
257C42×C107C2×D412yes—
258C23×C107—22no—
259C23×C107—22no—
260C23×C107—22no—
261C23×C107—21no—
262C23×C107—41no—
263C23×C107—41no—
264C23×C107—42no—
265C23×C107—81no—
266C23×C107—82no—
267C23×C107#12011yescharacteristic
268C23×C107C22×D411yescharacteristic
269C23×C107C22×D411yescharacteristic
270Q8×C107—22no—
271Q8×C107—41no—
272Q8×C107—42no—
273Q8×C107—41no—
274Q8×C107—41no—
275Q8×C107—41no—
276Q8×C107—41no—
277Q8×C107—41no—
278Q8×C107—82no—
279D4×C107—22no—
280D4×C107—41no—
281D4×C107—41no—
282D4×C107—41no—
283D4×C107—41no—
284D4×C107—41no—
285D4×C107—42no—
286D4×C107—42no—
287D4×C107—42no—
288D4×C107—42no—
289D4×C107—41no—
290D4×C107—41no—
291D4×C107—41no—
292D4×C107—81no—
293D4×C107—81no—
294D4×C107—82no—
295D4×C107—82no—
296D4×C107—82no—
297D4×C107—81no—
298D4×C107—82no—
299D4×C107—84no—
300D4×C107—164no—
301C2×C4×C107—21no—
302C2×C4×C107—21no—
303C2×C4×C107—21no—
304C2×C4×C107—21no—
305C2×C4×C107—21no—
306C2×C4×C107—21no—
307C2×C4×C107—22no—
308C2×C4×C107—22no—
309C2×C4×C107—21no—
310C2×C4×C107—22no—
311C2×C4×C107—21no—
312C2×C4×C107—22no—
313C2×C4×C107—22no—
314C2×C4×C107—21no—
315C2×C4×C107—42no—
316C2×C4×C107—42no—
317C2×C4×C107—42no—
318C2×C4×C107—41no—
319C2×C4×C107—42no—
320C2×C4×C107—41no—
321C2×C4×C107—41no—
322C2×C4×C107—41no—
323C2×C4×C107—42no—
324C2×C4×C107—42no—
325C2×C4×C107—81no—
326C2×C4×C107—81no—
327C2×C4×C107—82no—
328C2×C4×C107—82no—
329C2×C4×C107#12011yescharacteristic
330C2×C4×C107#12011yescharacteristic
331C2×C4×C107#12011yescharacteristic
332C2×C4×C107C22×D411yescharacteristic
333C8×C107—42no—
334C22×C107—21no—
335C22×C107—21no—
336C22×C107—21no—
337C22×C107—41no—
338C22×C107—41no—
339C22×C107—41no—
340C22×C107—42no—
341C22×C107—41no—
342C22×C107—41no—
343C22×C107—42no—
344C22×C107—42no—
345C22×C107—42no—
346C22×C107—41no—
347C22×C107—42no—
348C22×C107—82no—
349C22×C107—82no—
350C22×C107—84no—
351C22×C107—81no—
352C22×C107—161no—
353C22×C107C2×#12011yescharacteristic
354C4×C107—21no—
355C4×C107—21no—
356C4×C107—21no—
357C4×C107—41no—
358C4×C107—42no—
359C4×C107—42no—
360C4×C107—41no—
361C4×C107—42no—
362C4×C107—41no—
363C4×C107—42no—
364C4×C107—82no—
365C4×C107—82no—
366C4×C107B(4,𝔽2)11yescharacteristic
367C4×C107B(4,𝔽2)11yescharacteristic
368#33555C10711yesmaximal, characteristic, direct product factor, Sylow
369C2×C107—21no—
370C2×C107—41no—
371C2×C107—41no—
372C2×C107—41no—
373C2×C107—81no—
374C2×C107—82no—
375C2×C107—82no—
376C2×C107C2×B(4,𝔽2)11yescharacteristic
377#3540C2×C10711yescharacteristic, complemented
378#3027C2×C10711yescharacteristic, complemented
379#3025C2×C10711yescharacteristic, complemented
380#3022C2×C10711yescharacteristic, complemented
381#2199C2×C10714yescomplemented
382#2197C2×C10714yescomplemented
383#2129C2×C10711yescharacteristic, complemented
384#2122C2×C10711yescharacteristic, complemented
385#2120C2×C10711yescharacteristic, complemented
386C107#3355511yescharacteristic, direct product factor, Sylow
387#585C22×C10711yescharacteristic
388C2×#137—21no—
389H(3,𝔽4)C22×C10712yescomplemented
390#560—21no—
391#559—21no—
392#556—21no—
393#555—21no—
394#551C22×C10712yescomplemented
395#548—21no—
396#546—21no—
397#542—22no—
398#542—21no—
399#538—22no—
400#536C22×C10711yescharacteristic
401#535—21no—
402#535C22×C10711yescharacteristic
403#525—21no—
404#525—21no—
405#525C22×C10711yescharacteristic
406#458—21no—
407#458C22×C10712yes—
408B(4,𝔽2)—21no—
409B(4,𝔽2)—22no—
410B(4,𝔽2)C22×C10714yes—
411B(4,𝔽2)C22×C10712yes—
412#456—22no—
413#455C22×C10714yes—
414#421—21no—
415#413C22×C10711yescharacteristic
416#410—21no—
417#410—21no—
418#410C22×C10711yescharacteristic
419#410C22×C10711yescharacteristic
420#354C22×C10714yescomplemented
421#352C22×C10712yescomplemented
422AΣL(1,𝔽16)C22×C10712yescomplemented
423AΣL(1,𝔽16)C22×C10714yescomplemented
4242−1+4—21no—
4252−1+4—41no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—21no—
428H(5,𝔽2)—41no—
429H(5,𝔽2)C23×C10712yes—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—21no—
434C2×#41—42no—
435C2×#41C23×C10711yescharacteristic
436C22×Q8D4×C10711yescharacteristic, complemented
437C22×D4D4×C10711yescharacteristic, complemented
438C23×C4D4×C10711yescharacteristic, complemented
439#137—24no—
440#137—42no—
441C2×Q16—41no—
442C2×SD16—41no—
443C2×M16—21no—
444C4⋊Q8—21no—
445C4⋊Q8D4×C10712yescomplemented
446#127—21no—
447#127—41no—
448#126—22no—
449#126—22no—
450#126—22no—
451#124—22no—
452#124—21no—
453#124—21no—
454#124—22no—
455#124—22no—
456#124—22no—
457#124—22no—
458#124—41no—
459#124C23×C10712yes—
460#123—22no—
461#123—22no—
462#123—21no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123D4×C10711yescharacteristic, complemented
467#123C23×C10711yescharacteristic
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—41no—
475#121—21no—
476#121—22no—
477#121—22no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—42no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—22no—
487#120—24no—
488#120D4×C10711yescharacteristic, complemented
489#120D4×C10712yescomplemented
490#120C23×C10711yescharacteristic
491#120C23×C10712yes—
492C4×Q8—21no—
493C4×Q8—22no—
494C4×D4—22no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—22no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4—42no—
501#117—21no—
502#117—22no—
503#117—21no—
504#117—21no—
505#117D4×C10711yescharacteristic, complemented
506#117D4×C10711yescharacteristic, complemented
507#117D4×C10711yescharacteristic, complemented
508C2×C22⋊C4—22no—
509#104—24no—
510#101—21no—
511#100C23×C10712yes—
512#99—21no—
513#99—21no—
514#99—24no—
515#99—22no—
516#99—22no—
517#99C23×C10712yes—
518#99C23×C10712yes—
519C24C2×D4×C10712yes—
520C24C2×D4×C10711yescharacteristic
521#41—22no—
522#41—22no—
523#41—41no—
524#41—41no—
525#41—42no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—42no—
533#41—42no—
534#41—41no—
535#41—41no—
536#41—41no—
537#41—81no—
538#41—81no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—22no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C10712yes—
548C2×Q8C2×D4×C10711yescharacteristic
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—22no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—41no—
563C2×D4—41no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—42no—
567C2×D4—41no—
568C2×D4—42no—
569C2×D4—44no—
570C2×D4C2×D4×C10711yescharacteristic
571C2×D4C2×D4×C10711yescharacteristic
572C2×D4C24×C10711yescharacteristic
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—41no—
581C22×C4—41no—
582C22×C4—41no—
583C22×C4C2×D4×C10711yescharacteristic
584C22×C4C2×D4×C10711yescharacteristic
585C22×C4C2×D4×C10711yescharacteristic
586C22×C4C2×D4×C10711yescharacteristic
587Q16—44no—
588SD16—44no—
589M16—22no—
590M16—41no—
591C2×C8—41no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—42no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4—42no—
625C22⋊C4C2×D4×C10712yes—
626C22⋊C4C2×D4×C10711yescharacteristic
627C22⋊C4C2×D4×C10711yescharacteristic
628C42—22no—
629C42—22no—
630C42—21no—
631C42—21no—
632C42—41no—
633C42—41no—
634C42C2×D4×C10712yes—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—21no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—81no—
643C23—82no—
644C23#120×C10711yescharacteristic
645C23C22×D4×C10711yescharacteristic
646C23C22×D4×C10711yescharacteristic
647Q8—22no—
648Q8—41no—
649Q8—42no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—41no—
655Q8—82no—
656D4—22no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—81no—
670D4—82no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—82no—
675D4—81no—
676D4—84no—
677D4—164no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—21no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4#120×C10711yescharacteristic
707C2×C4#120×C10711yescharacteristic
708C2×C4#120×C10711yescharacteristic
709C2×C4C22×D4×C10711yescharacteristic
710C8—42no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—42no—
718C22—41no—
719C22—41no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—82no—
726C22—82no—
727C22—84no—
728C22—81no—
729C22—161no—
730C22C2×#120×C10711yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—41no—
735C4—42no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—41no—
740C4—42no—
741C4—82no—
742C4—82no—
743C4B(4,𝔽2)×C10711yescharacteristic
744C4B(4,𝔽2)×C10711yescharacteristic
745C2—21no—
746C2—41no—
747C2—41no—
748C2—41no—
749C2—81no—
750C2—82no—
751C2—82no—
752C2C2×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×#3540C2semidirect
2. C107×#3027C2semidirect
3. C107×#3025C2semidirect
4. C107×#3022C2semidirect
5. C107×#2199C2semidirect
6. C107×#2197C2semidirect
7. C107×#2129C2semidirect
8. C107×#2122C2semidirect
9. C107×#2120C2semidirect
12. H(3,𝔽4)×C107C22semidirect
17. #551×C107C22semidirect
43. #354×C107C22semidirect
44. #352×C107C22semidirect
45. AΣL(1,𝔽16)×C107C22semidirect
46. AΣL(1,𝔽16)×C107C22semidirect
59. C22×Q8×C107D4semidirect
60. C22×D4×C107D4semidirect
61. C23×C4×C107D4semidirect
68. C4⋊Q8×C107D4semidirect
89. #123×C107D4semidirect
111. #120×C107D4semidirect
112. #120×C107D4semidirect
128. #117×C107D4semidirect
129. #117×C107D4semidirect
130. #117×C107D4semidirect
368. #33555C107direct (N × H)
377. #3540C2×C107semidirect
378. #3027C2×C107semidirect
379. #3025C2×C107semidirect
380. #3022C2×C107semidirect
381. #2199C2×C107semidirect
382. #2197C2×C107semidirect
383. #2129C2×C107semidirect
384. #2122C2×C107semidirect
385. #2120C2×C107semidirect
386. C107#33555direct (N × H)
389. H(3,𝔽4)C22×C107semidirect
394. #551C22×C107semidirect
420. #354C22×C107semidirect
421. #352C22×C107semidirect
422. AΣL(1,𝔽16)C22×C107semidirect
423. AΣL(1,𝔽16)C22×C107semidirect
436. C22×Q8D4×C107semidirect
437. C22×D4D4×C107semidirect
438. C23×C4D4×C107semidirect
445. C4⋊Q8D4×C107semidirect
466. #123D4×C107semidirect
488. #120D4×C107semidirect
489. #120D4×C107semidirect
505. #117D4×C107semidirect
506. #117D4×C107semidirect
507. #117D4×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#35402
C107×#30272
C107×#30252
C107×#30222
C107×#21992
C107×#21972
C107×#21292
C107×#21222
C107×#21202
#33555107