Finite Group Databasebeta

← C107×#33556 #41059520

Subgroups — C107×#33556 #41059520

Order 27392.

1134 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3540C211yesmaximal, characteristic, complemented
2C107×#3028C211yesmaximal, characteristic, complemented
3C107×#3025C211yesmaximal, characteristic, complemented
4C107×#3021C211yesmaximal, characteristic, complemented
5C107×#2200C214yesmaximal, complemented
6C107×#2198C214yesmaximal, complemented
7C107×#2128C211yesmaximal, characteristic, complemented
8C107×#2123C211yesmaximal, characteristic, complemented
9C107×#2120C211yesmaximal, characteristic, complemented
10#585×C107C2211yescharacteristic
11C2×AGL(1,ℤ/8)×C107—21no—
12H(3,𝔽4)×C107—21no—
13#560×C107C2212yescomplemented
14#559×C107C2212yescomplemented
15#556×C107—21no—
16#555×C107—21no—
17#551×C107—21no—
18#548×C107—21no—
19#546×C107—21no—
20#542×C107—22no—
21#542×C107—21no—
22#538×C107—22no—
23#536×C107—21no—
24#536×C107C2211yescharacteristic
25#535×C107C2211yescharacteristic
26#525×C107—21no—
27#525×C107—21no—
28#525×C107C2211yescharacteristic
29#458×C107—21no—
30#458×C107—22no—
31#458×C107C2212yescomplemented
32#458×C107C2214yescomplemented
33B(4,𝔽2)×C107—21no—
34B(4,𝔽2)×C107C2212yescomplemented
35#454×C107—22no—
36#453×C107C2214yes—
37#421×C107—21no—
38#413×C107C2211yescharacteristic
39#410×C107—21no—
40#410×C107—21no—
41#410×C107C2211yescharacteristic
42#410×C107C2211yescharacteristic
43#353×C107C2214yescomplemented
44#352×C107C2212yescomplemented
45#352×C107C2214yescomplemented
46AΣL(1,𝔽16)×C107C2212yescomplemented
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
62AGL(1,ℤ/8)×C107—24no—
63AGL(1,ℤ/8)×C107—42no—
64C2×SD16×C107—41no—
65C2×D8×C107—41no—
66C2×M16×C107—21no—
67C4⋊Q8×C107—21no—
68C4⋊Q8×C107—21no—
69C4⋊Q8×C107—41no—
70#127×C107C2312yes—
71#126×C107—22no—
72#126×C107—22no—
73#126×C107—22no—
74#124×C107—22no—
75#124×C107—21no—
76#124×C107—22no—
77#124×C107—22no—
78#124×C107—21no—
79#124×C107—22no—
80#124×C107—22no—
81#124×C107—41no—
82#124×C107D412yescomplemented
83#123×C107—22no—
84#123×C107—22no—
85#123×C107—22no—
86#123×C107—22no—
87#123×C107—24no—
88#123×C107D411yescharacteristic
89#123×C107D412yescomplemented
90#123×C107C2311yescharacteristic
91#123×C107C2312yes—
92C22⋊Q8×C107—21no—
93C22⋊Q8×C107—22no—
94C22⋊Q8×C107—22no—
95C22⋊Q8×C107—21no—
96C22⋊Q8×C107—21no—
97C22⋊Q8×C107—21no—
98C22⋊Q8×C107—42no—
99C22⋊Q8×C107—41no—
100#121×C107—21no—
101#121×C107—21no—
102#121×C107—22no—
103#121×C107—21no—
104#121×C107—21no—
105#121×C107—22no—
106#121×C107—22no—
107#121×C107—41no—
108#120×C107—22no—
109#120×C107—22no—
110#120×C107—21no—
111#120×C107—21no—
112#120×C107—22no—
113#120×C107D411yescharacteristic
114#120×C107C2311yescharacteristic
115C4×Q8×C107—21no—
116C4×Q8×C107—22no—
117C4×D4×C107—22no—
118C4×D4×C107—21no—
119C4×D4×C107—22no—
120C4×D4×C107—21no—
121C4×D4×C107—21no—
122C4×D4×C107—22no—
123C4×D4×C107—42no—
124#117×C107—21no—
125#117×C107—22no—
126#117×C107—21no—
127#117×C107—21no—
128#117×C107D411yescharacteristic
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—22no—
138#99×C107—22no—
139#99×C107—24no—
140#99×C107C2312yes—
141#99×C107C2312yes—
142C24×C107—21no—
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—21no—
168C2×Q8×C107—41no—
169C2×Q8×C107—41no—
170C2×Q8×C107—42no—
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—22no—
182C2×D4×C107—21no—
183C2×D4×C107—21no—
184C2×D4×C107—41no—
185C2×D4×C107—41no—
186C2×D4×C107—42no—
187C2×D4×C107—42no—
188C2×D4×C107—42no—
189C2×D4×C107—41no—
190C2×D4×C107—42no—
191C2×D4×C107C2×D411yescharacteristic
192C2×D4×C107C2×D411yescharacteristic
193C2×D4×C107C2×D412yes—
194C2×D4×C107C2411yescharacteristic
195C22×C4×C107—22no—
196C22×C4×C107—22no—
197C22×C4×C107—22no—
198C22×C4×C107—22no—
199C22×C4×C107—21no—
200C22×C4×C107—21no—
201C22×C4×C107—41no—
202C22×C4×C107—41no—
203C22×C4×C107—41no—
204C22×C4×C107C2×D411yescharacteristic
205C22×C4×C107C2×D411yescharacteristic
206C22×C4×C107C2×D411yescharacteristic
207C22×C4×C107C2×D411yescharacteristic
208C22×C4×C107C2×D412yes—
209SD16×C107—44no—
210D8×C107—44no—
211M16×C107—22no—
212M16×C107—41no—
213C2×C8×C107—41no—
214C4⋊C4×C107—22no—
215C4⋊C4×C107—22no—
216C4⋊C4×C107—22no—
217C4⋊C4×C107—21no—
218C4⋊C4×C107—21no—
219C4⋊C4×C107—22no—
220C4⋊C4×C107—21no—
221C4⋊C4×C107—21no—
222C4⋊C4×C107—21no—
223C4⋊C4×C107—22no—
224C4⋊C4×C107—41no—
225C4⋊C4×C107—41no—
226C4⋊C4×C107—42no—
227C4⋊C4×C107—44no—
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—22no—
236C22⋊C4×C107—21no—
237C22⋊C4×C107—21no—
238C22⋊C4×C107—22no—
239C22⋊C4×C107—22no—
240C22⋊C4×C107—22no—
241C22⋊C4×C107—21no—
242C22⋊C4×C107—21no—
243C22⋊C4×C107—22no—
244C22⋊C4×C107—22no—
245C22⋊C4×C107—42no—
246C22⋊C4×C107—42no—
247C22⋊C4×C107—44no—
248C22⋊C4×C107C2×D411yescharacteristic
249C22⋊C4×C107C2×D411yescharacteristic
250C22⋊C4×C107C2×D412yes—
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—21no—
261C23×C107—22no—
262C23×C107—41no—
263C23×C107—41no—
264C23×C107—81no—
265C23×C107—81no—
266C23×C107—82no—
267C23×C107#12011yescharacteristic
268C23×C107C22×D411yescharacteristic
269C23×C107C22×D411yescharacteristic
270Q8×C107—22no—
271Q8×C107—41no—
272Q8×C107—41no—
273Q8×C107—41no—
274Q8×C107—41no—
275Q8×C107—41no—
276Q8×C107—41no—
277Q8×C107—81no—
278Q8×C107—82no—
279D4×C107—22no—
280D4×C107—41no—
281D4×C107—41no—
282D4×C107—41no—
283D4×C107—42no—
284D4×C107—41no—
285D4×C107—41no—
286D4×C107—42no—
287D4×C107—42no—
288D4×C107—42no—
289D4×C107—42no—
290D4×C107—41no—
291D4×C107—41no—
292D4×C107—41no—
293D4×C107—81no—
294D4×C107—82no—
295D4×C107—82no—
296D4×C107—82no—
297D4×C107—81no—
298D4×C107—82no—
299D4×C107—84no—
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—22no—
311C2×C4×C107—21no—
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—41no—
322C2×C4×C107—42no—
323C2×C4×C107—42no—
324C2×C4×C107—42no—
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—42no—
340C22×C107—41no—
341C22×C107—41no—
342C22×C107—42no—
343C22×C107—42no—
344C22×C107—42no—
345C22×C107—41no—
346C22×C107—42no—
347C22×C107—82no—
348C22×C107—82no—
349C22×C107—81no—
350C22×C107—161no—
351C22×C107—162no—
352C22×C107C2×#12011yescharacteristic
353C4×C107—21no—
354C4×C107—21no—
355C4×C107—21no—
356C4×C107—41no—
357C4×C107—42no—
358C4×C107—42no—
359C4×C107—41no—
360C4×C107—42no—
361C4×C107—41no—
362C4×C107—42no—
363C4×C107—82no—
364C4×C107—82no—
365C4×C107B(4,𝔽2)11yescharacteristic
366C4×C107B(4,𝔽2)11yescharacteristic
367#33556C10711yesmaximal, characteristic, direct product factor, Sylow
368C2×C107—21no—
369C2×C107—41no—
370C2×C107—41no—
371C2×C107—41no—
372C2×C107—81no—
373C2×C107—82no—
374C2×C107—82no—
375C2×C107C2×B(4,𝔽2)11yescharacteristic
376#3540C2×C10711yescharacteristic, complemented
377#3028C2×C10711yescharacteristic, complemented
378#3025C2×C10711yescharacteristic, complemented
379#3021C2×C10711yescharacteristic, complemented
380#2200C2×C10714yescomplemented
381#2198C2×C10714yescomplemented
382#2128C2×C10711yescharacteristic, complemented
383#2123C2×C10711yescharacteristic, complemented
384#2120C2×C10711yescharacteristic, complemented
385C107#3355611yescharacteristic, direct product factor, Sylow
386#585C22×C10711yescharacteristic
387C2×AGL(1,ℤ/8)—21no—
388H(3,𝔽4)—21no—
389#560C22×C10712yescomplemented
390#559C22×C10712yescomplemented
391#556—21no—
392#555—21no—
393#551—21no—
394#548—21no—
395#546—21no—
396#542—22no—
397#542—21no—
398#538—22no—
399#536—21no—
400#536C22×C10711yescharacteristic
401#535C22×C10711yescharacteristic
402#525—21no—
403#525—21no—
404#525C22×C10711yescharacteristic
405#458—21no—
406#458—22no—
407#458C22×C10712yescomplemented
408#458C22×C10714yescomplemented
409B(4,𝔽2)—21no—
410B(4,𝔽2)C22×C10712yescomplemented
411#454—22no—
412#453C22×C10714yes—
413#421—21no—
414#413C22×C10711yescharacteristic
415#410—21no—
416#410—21no—
417#410C22×C10711yescharacteristic
418#410C22×C10711yescharacteristic
419#353C22×C10714yescomplemented
420#352C22×C10712yescomplemented
421#352C22×C10714yescomplemented
422AΣL(1,𝔽16)C22×C10712yescomplemented
4232−1+4—21no—
4242−1+4—41no—
425H(5,𝔽2)—21no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—41no—
428H(5,𝔽2)C23×C10712yes—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—42no—
434C2×#41C23×C10711yescharacteristic
435C22×Q8D4×C10711yescharacteristic, complemented
436C22×D4D4×C10711yescharacteristic, complemented
437C23×C4D4×C10711yescharacteristic
438AGL(1,ℤ/8)—24no—
439AGL(1,ℤ/8)—42no—
440C2×SD16—41no—
441C2×D8—41no—
442C2×M16—21no—
443C4⋊Q8—21no—
444C4⋊Q8—21no—
445C4⋊Q8—41no—
446#127C23×C10712yes—
447#126—22no—
448#126—22no—
449#126—22no—
450#124—22no—
451#124—21no—
452#124—22no—
453#124—22no—
454#124—21no—
455#124—22no—
456#124—22no—
457#124—41no—
458#124D4×C10712yescomplemented
459#123—22no—
460#123—22no—
461#123—22no—
462#123—22no—
463#123—24no—
464#123D4×C10711yescharacteristic
465#123D4×C10712yescomplemented
466#123C23×C10711yescharacteristic
467#123C23×C10712yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—42no—
475C22⋊Q8—41no—
476#121—21no—
477#121—21no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—22no—
482#121—22no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—21no—
487#120—21no—
488#120—22no—
489#120D4×C10711yescharacteristic
490#120C23×C10711yescharacteristic
491C4×Q8—21no—
492C4×Q8—22no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—22no—
499C4×D4—42no—
500#117—21no—
501#117—22no—
502#117—21no—
503#117—21no—
504#117D4×C10711yescharacteristic
505#117D4×C10711yescharacteristic, complemented
506#117D4×C10711yescharacteristic, complemented
507C2×C22⋊C4—22no—
508#104—24no—
509#101—21no—
510#100C23×C10712yes—
511#99—21no—
512#99—21no—
513#99—22no—
514#99—22no—
515#99—24no—
516#99C23×C10712yes—
517#99C23×C10712yes—
518C24—21no—
519C24C2×D4×C10711yescharacteristic
520#41—22no—
521#41—22no—
522#41—41no—
523#41—41no—
524#41—42no—
525#41—41no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—42no—
531#41—42no—
532#41—42no—
533#41—41no—
534#41—41no—
535#41—41no—
536#41—81no—
537#41—81no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—22no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C10711yescharacteristic
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—41no—
566C2×D4—42no—
567C2×D4C2×D4×C10711yescharacteristic
568C2×D4C2×D4×C10711yescharacteristic
569C2×D4C2×D4×C10712yes—
570C2×D4C24×C10711yescharacteristic
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—41no—
578C22×C4—41no—
579C22×C4—41no—
580C22×C4C2×D4×C10711yescharacteristic
581C22×C4C2×D4×C10711yescharacteristic
582C22×C4C2×D4×C10711yescharacteristic
583C22×C4C2×D4×C10711yescharacteristic
584C22×C4C2×D4×C10712yes—
585SD16—44no—
586D8—44no—
587M16—22no—
588M16—41no—
589C2×C8—41no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—41no—
601C4⋊C4—41no—
602C4⋊C4—42no—
603C4⋊C4—44no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—21no—
611C22⋊C4—22no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—42no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4C2×D4×C10711yescharacteristic
625C22⋊C4C2×D4×C10711yescharacteristic
626C22⋊C4C2×D4×C10712yes—
627C42—22no—
628C42—22no—
629C42—21no—
630C42—21no—
631C42—41no—
632C42—41no—
633C42C2×D4×C10712yes—
634C23—22no—
635C23—22no—
636C23—21no—
637C23—22no—
638C23—41no—
639C23—41no—
640C23—81no—
641C23—81no—
642C23—82no—
643C23#120×C10711yescharacteristic
644C23C22×D4×C10711yescharacteristic
645C23C22×D4×C10711yescharacteristic
646Q8—22no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—81no—
654Q8—82no—
655D4—22no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—82no—
670D4—81no—
671D4—82no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—84no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—81no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4#120×C10711yescharacteristic
705C2×C4#120×C10711yescharacteristic
706C2×C4#120×C10711yescharacteristic
707C2×C4C22×D4×C10711yescharacteristic
708C8—42no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—41no—
717C22—41no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—41no—
722C22—42no—
723C22—82no—
724C22—82no—
725C22—81no—
726C22—161no—
727C22—162no—
728C22C2×#120×C10711yescharacteristic
729C4—21no—
730C4—21no—
731C4—21no—
732C4—41no—
733C4—42no—
734C4—42no—
735C4—41no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—82no—
740C4—82no—
741C4B(4,𝔽2)×C10711yescharacteristic
742C4B(4,𝔽2)×C10711yescharacteristic
743C2—21no—
744C2—41no—
745C2—41no—
746C2—41no—
747C2—81no—
748C2—82no—
749C2—82no—
750C2C2×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×#3028C2semidirect
3. C107×#3025C2semidirect
4. C107×#3021C2semidirect
5. C107×#2200C2semidirect
6. C107×#2198C2semidirect
7. C107×#2128C2semidirect
8. C107×#2123C2semidirect
9. C107×#2120C2semidirect
13. #560×C107C22semidirect
14. #559×C107C22semidirect
31. #458×C107C22semidirect
32. #458×C107C22semidirect
34. B(4,𝔽2)×C107C22semidirect
43. #353×C107C22semidirect
44. #352×C107C22semidirect
45. #352×C107C22semidirect
46. AΣL(1,𝔽16)×C107C22semidirect
59. C22×Q8×C107D4semidirect
60. C22×D4×C107D4semidirect
82. #124×C107D4semidirect
89. #123×C107D4semidirect
129. #117×C107D4semidirect
130. #117×C107D4semidirect
367. #33556C107direct (N × H)
376. #3540C2×C107semidirect
377. #3028C2×C107semidirect
378. #3025C2×C107semidirect
379. #3021C2×C107semidirect
380. #2200C2×C107semidirect
381. #2198C2×C107semidirect
382. #2128C2×C107semidirect
383. #2123C2×C107semidirect
384. #2120C2×C107semidirect
385. C107#33556direct (N × H)
389. #560C22×C107semidirect
390. #559C22×C107semidirect
407. #458C22×C107semidirect
408. #458C22×C107semidirect
410. B(4,𝔽2)C22×C107semidirect
419. #353C22×C107semidirect
420. #352C22×C107semidirect
421. #352C22×C107semidirect
422. AΣL(1,𝔽16)C22×C107semidirect
435. C22×Q8D4×C107semidirect
436. C22×D4D4×C107semidirect
458. #124D4×C107semidirect
465. #123D4×C107semidirect
505. #117D4×C107semidirect
506. #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×#30282
C107×#30252
C107×#30212
C107×#22002
C107×#21982
C107×#21282
C107×#21232
C107×#21202
#33556107