Finite Group Databasebeta

← C107×#24262 #41050226

Subgroups — C107×#24262 #41050226

Order 27392.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3496C211yesmaximal, characteristic, complemented
2C2×B(4,𝔽2)×C107C212yesmaximal, complemented
3C107×#2617C212yesmaximal, complemented
4C107×#2321C211yesmaximal, characteristic, complemented
5C107×#2044C212yesmaximal, complemented
6C107×#2021C212yesmaximal, complemented
7C107×#1964C212yesmaximal, complemented
8C107×#1799C211yesmaximal, characteristic, complemented
9C107×#1790C212yesmaximal, complemented
10C2×H(5,𝔽2)×C107C2212yes—
11#547×C107—22no—
12#546×C107—24no—
13D42×C107—22no—
14#537×C107—21no—
15#534×C107—21no—
16#534×C107C2212yes—
17#532×C107—21no—
18C2×#121×C107—21no—
19C2×#121×C107C2212yes—
20C2×#120×C107C2211yescharacteristic
21C2×#120×C107C2214yescomplemented
22C2×C4×D4×C107C2211yescharacteristic
23C22×C22⋊C4×C107C2211yescharacteristic, complemented
24B(4,𝔽2)×C107—28no—
25C2×#99×C107C2212yes—
26C2×#99×C107C2214yescomplemented
27C2×#99×C107C2214yescomplemented
28#397×C107—22no—
29#394×C107—24no—
30#392×C107—22no—
31#390×C107—21no—
32#388×C107—21no—
33#388×C107—21no—
34#386×C107—21no—
35#386×C107C2211yescharacteristic
36#386×C107C2214yescomplemented
37#385×C107C2211yescharacteristic, complemented
38#380×C107C2212yescomplemented
39#379×C107C2211yescharacteristic, complemented
40C4×C22⋊C4×C107C2211yescharacteristic, complemented
41#342×C107C2212yescomplemented
42C25×C107C2311yescharacteristic
43H(5,𝔽2)×C107—24no—
44H(5,𝔽2)×C107—24no—
45H(5,𝔽2)×C107—44no—
46C2×#41×C107—22no—
47C2×#41×C107—24no—
48C22×D4×C107—22no—
49C22×D4×C107—24no—
50C22×D4×C107—21no—
51C22×D4×C107—21no—
52C22×D4×C107—24no—
53C22×D4×C107D412yescomplemented
54C22×D4×C107C2314yes—
55C22×D4×C107C2311yescharacteristic
56C23×C4×C107D411yescharacteristic, complemented
57C23×C4×C107C2311yescharacteristic
58C23×C4×C107C2311yescharacteristic
59C4⋊Q8×C107—21no—
60#127×C107—21no—
61#124×C107—22no—
62#123×C107—24no—
63#123×C107—24no—
64C22⋊Q8×C107—24no—
65#121×C107—22no—
66#121×C107—22no—
67#121×C107—24no—
68#121×C107—22no—
69#121×C107—22no—
70#121×C107—22no—
71#121×C107—22no—
72#121×C107—22no—
73#121×C107—22no—
74#120×C107—24no—
75#120×C107—24no—
76#120×C107—22no—
77#120×C107—28no—
78#120×C107—44no—
79#120×C107D414yescomplemented
80C4×D4×C107—22no—
81C4×D4×C107—22no—
82C4×D4×C107—22no—
83C4×D4×C107—22no—
84C2×C4⋊C4×C107—21no—
85C2×C4⋊C4×C107—22no—
86C2×C4⋊C4×C107—21no—
87C2×C4⋊C4×C107D411yescharacteristic, complemented
88C2×C4⋊C4×C107D412yescomplemented
89C2×C22⋊C4×C107—22no—
90C2×C22⋊C4×C107—21no—
91C2×C22⋊C4×C107—21no—
92C2×C22⋊C4×C107—21no—
93C2×C22⋊C4×C107—22no—
94C2×C22⋊C4×C107—22no—
95C2×C22⋊C4×C107—24no—
96C2×C22⋊C4×C107—21no—
97C2×C22⋊C4×C107—24no—
98C2×C22⋊C4×C107—21no—
99C2×C22⋊C4×C107—21no—
100C2×C22⋊C4×C107D411yescharacteristic, complemented
101C2×C22⋊C4×C107D414yescomplemented
102C2×C22⋊C4×C107C2314yes—
103C2×C22⋊C4×C107C2311yescharacteristic
104C2×C22⋊C4×C107C2311yescharacteristic
105C2×C22⋊C4×C107C2311yescharacteristic
106C2×C42×C107—21no—
107C2×C42×C107D411yescharacteristic, complemented
108#99×C107—24no—
109#99×C107—28no—
110#99×C107—44no—
111#95×C107—21no—
112#95×C107—22no—
113#95×C107—21no—
114#95×C107—21no—
115#95×C107—24no—
116C24×C107—22no—
117C24×C107—21no—
118C24×C107—22no—
119C24×C107—21no—
120C24×C107—22no—
121C24×C107—81no—
122C24×C107—81no—
123C24×C107C2×D414yes—
124C24×C107C2×D411yescharacteristic
125C24×C107C2×D412yescomplemented
126C24×C107C2411yescharacteristic
127#41×C107—48no—
128#41×C107—48no—
129#41×C107—44no—
130#41×C107—44no—
131C2×Q8×C107—22no—
132C2×D4×C107—22no—
133C2×D4×C107—22no—
134C2×D4×C107—24no—
135C2×D4×C107—22no—
136C2×D4×C107—24no—
137C2×D4×C107—24no—
138C2×D4×C107—24no—
139C2×D4×C107—24no—
140C2×D4×C107—24no—
141C2×D4×C107—24no—
142C2×D4×C107—22no—
143C2×D4×C107—22no—
144C2×D4×C107—24no—
145C2×D4×C107—22no—
146C2×D4×C107—22no—
147C2×D4×C107—48no—
148C2×D4×C107—48no—
149C2×D4×C107—44no—
150C2×D4×C107—44no—
151C2×D4×C107—48no—
152C2×D4×C107—82no—
153C2×D4×C107—82no—
154C2×D4×C107—81no—
155C2×D4×C107—81no—
156C2×D4×C107—84no—
157C2×D4×C107—84no—
158C2×D4×C107C2×D412yes—
159C2×D4×C107#4112yes—
160C22×C4×C107—22no—
161C22×C4×C107—24no—
162C22×C4×C107—21no—
163C22×C4×C107—21no—
164C22×C4×C107—21no—
165C22×C4×C107—21no—
166C22×C4×C107—22no—
167C22×C4×C107—21no—
168C22×C4×C107—24no—
169C22×C4×C107—81no—
170C22×C4×C107—81no—
171C22×C4×C107—81no—
172C22×C4×C107C2×D414yes—
173C22×C4×C107C2×D411yescharacteristic
174C22×C4×C107C2×D411yescharacteristic
175C22×C4×C107C2×D411yescharacteristic
176C22×C4×C107C2×D411yescharacteristic
177C22×C4×C107C2×D412yes—
178C22×C4×C107C2×D411yescharacteristic
179C22×C4×C107C2×D412yes—
180C4⋊C4×C107—22no—
181C4⋊C4×C107—22no—
182C4⋊C4×C107—22no—
183C4⋊C4×C107—22no—
184C4⋊C4×C107—22no—
185C4⋊C4×C107—82no—
186C4⋊C4×C107—81no—
187C22⋊C4×C107—24no—
188C22⋊C4×C107—24no—
189C22⋊C4×C107—22no—
190C22⋊C4×C107—21no—
191C22⋊C4×C107—24no—
192C22⋊C4×C107—22no—
193C22⋊C4×C107—24no—
194C22⋊C4×C107—24no—
195C22⋊C4×C107—24no—
196C22⋊C4×C107—22no—
197C22⋊C4×C107—24no—
198C22⋊C4×C107—48no—
199C22⋊C4×C107—41no—
200C22⋊C4×C107—41no—
201C22⋊C4×C107—42no—
202C22⋊C4×C107—81no—
203C22⋊C4×C107—81no—
204C22⋊C4×C107—81no—
205C22⋊C4×C107—84no—
206C22⋊C4×C107C2×D412yescomplemented
207C42×C107—21no—
208C42×C107—21no—
209C42×C107—81no—
210C23×C107—21no—
211C23×C107—21no—
212C23×C107—24no—
213C23×C107—22no—
214C23×C107—24no—
215C23×C107—24no—
216C23×C107—24no—
217C23×C107—41no—
218C23×C107—41no—
219C23×C107—41no—
220C23×C107—41no—
221C23×C107—41no—
222C23×C107—41no—
223C23×C107—41no—
224C23×C107—44no—
225C23×C107—41no—
226C23×C107—44no—
227C23×C107—44no—
228C23×C107—44no—
229C23×C107—44no—
230C23×C107—41no—
231C23×C107—41no—
232C23×C107—42no—
233C23×C107—82no—
234C23×C107—82no—
235C23×C107—84no—
236C23×C107—82no—
237C23×C107—82no—
238C23×C107#12112yes—
239C23×C107C22×D411yescharacteristic
240C23×C107C22×D412yes—
241C23×C107C22×D411yescharacteristic
242C23×C107C2×#4111yescharacteristic
243C23×C107H(5,𝔽2)12yes—
244Q8×C107—44no—
245D4×C107—24no—
246D4×C107—24no—
247D4×C107—44no—
248D4×C107—44no—
249D4×C107—48no—
250D4×C107—44no—
251D4×C107—44no—
252D4×C107—44no—
253D4×C107—44no—
254D4×C107—82no—
255D4×C107—82no—
256D4×C107—84no—
257D4×C107—82no—
258D4×C107—816no—
259C2×C4×C107—21no—
260C2×C4×C107—21no—
261C2×C4×C107—21no—
262C2×C4×C107—21no—
263C2×C4×C107—24no—
264C2×C4×C107—22no—
265C2×C4×C107—24no—
266C2×C4×C107—24no—
267C2×C4×C107—41no—
268C2×C4×C107—42no—
269C2×C4×C107—41no—
270C2×C4×C107—42no—
271C2×C4×C107—42no—
272C2×C4×C107—48no—
273C2×C4×C107—41no—
274C2×C4×C107—41no—
275C2×C4×C107—44no—
276C2×C4×C107—41no—
277C2×C4×C107—41no—
278C2×C4×C107—41no—
279C2×C4×C107—41no—
280C2×C4×C107—41no—
281C2×C4×C107—44no—
282C2×C4×C107—44no—
283C2×C4×C107—41no—
284C2×C4×C107—44no—
285C2×C4×C107—41no—
286C2×C4×C107—41no—
287C2×C4×C107—44no—
288C2×C4×C107—81no—
289C2×C4×C107#12011yescharacteristic
290C2×C4×C107#12011yescharacteristic
291C2×C4×C107#12012yes—
292C2×C4×C107#12112yes—
293C22×C107—21no—
294C22×C107—22no—
295C22×C107—21no—
296C22×C107—22no—
297C22×C107—22no—
298C22×C107—41no—
299C22×C107—41no—
300C22×C107—42no—
301C22×C107—42no—
302C22×C107—42no—
303C22×C107—48no—
304C22×C107—42no—
305C22×C107—41no—
306C22×C107—41no—
307C22×C107—44no—
308C22×C107—42no—
309C22×C107—44no—
310C22×C107—44no—
311C22×C107—81no—
312C22×C107—84no—
313C22×C107—84no—
314C22×C107—81no—
315C22×C107—81no—
316C22×C107—84no—
317C22×C107—81no—
318C22×C107—81no—
319C22×C107—164no—
320C22×C107C2×#12011yescharacteristic
321C22×C107C2×#12111yescharacteristic
322C22×C107#53511yescharacteristic
323C22×C107D4212yes—
324C22×C107#54612yes—
325C4×C107—22no—
326C4×C107—21no—
327C4×C107—21no—
328C4×C107—22no—
329C4×C107—42no—
330C4×C107—44no—
331C4×C107—41no—
332C4×C107—41no—
333C4×C107—81no—
334C4×C107—84no—
335C4×C107—81no—
336#24262C10711yesmaximal, characteristic, direct product factor, Sylow
337C2×C107—21no—
338C2×C107—22no—
339C2×C107—21no—
340C2×C107—22no—
341C2×C107—42no—
342C2×C107—82no—
343C2×C107—84no—
344C2×C107#240811yescharacteristic
345C2×C107#302611yescharacteristic
346C2×C107#302711yescharacteristic
347#3496C2×C10711yescharacteristic, complemented
348C2×B(4,𝔽2)C2×C10712yescomplemented
349#2617C2×C10712yescomplemented
350#2321C2×C10711yescharacteristic, complemented
351#2044C2×C10712yescomplemented
352#2021C2×C10712yescomplemented
353#1964C2×C10712yescomplemented
354#1799C2×C10711yescharacteristic, complemented
355#1790C2×C10712yescomplemented
356C107#2426211yescharacteristic, direct product factor, Sylow
357C2×H(5,𝔽2)C22×C10712yes—
358#547—22no—
359#546—24no—
360D42—22no—
361#537—21no—
362#534—21no—
363#534C22×C10712yes—
364#532—21no—
365C2×#121—21no—
366C2×#121C22×C10712yes—
367C2×#120C22×C10711yescharacteristic
368C2×#120C22×C10714yescomplemented
369C2×C4×D4C22×C10711yescharacteristic
370C22×C22⋊C4C22×C10711yescharacteristic, complemented
371B(4,𝔽2)—28no—
372C2×#99C22×C10712yes—
373C2×#99C22×C10714yescomplemented
374C2×#99C22×C10714yescomplemented
375#397—22no—
376#394—24no—
377#392—22no—
378#390—21no—
379#388—21no—
380#388—21no—
381#386—21no—
382#386C22×C10711yescharacteristic
383#386C22×C10714yescomplemented
384#385C22×C10711yescharacteristic, complemented
385#380C22×C10712yescomplemented
386#379C22×C10711yescharacteristic, complemented
387C4×C22⋊C4C22×C10711yescharacteristic, complemented
388#342C22×C10712yescomplemented
389C25C23×C10711yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C10712yescomplemented
401C22×D4C23×C10714yes—
402C22×D4C23×C10711yescharacteristic
403C23×C4D4×C10711yescharacteristic, complemented
404C23×C4C23×C10711yescharacteristic
405C23×C4C23×C10711yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C10714yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C10711yescharacteristic, complemented
435C2×C4⋊C4D4×C10712yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C10711yescharacteristic, complemented
448C2×C22⋊C4D4×C10714yescomplemented
449C2×C22⋊C4C23×C10714yes—
450C2×C22⋊C4C23×C10711yescharacteristic
451C2×C22⋊C4C23×C10711yescharacteristic
452C2×C22⋊C4C23×C10711yescharacteristic
453C2×C42—21no—
454C2×C42D4×C10711yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C10714yes—
471C24C2×D4×C10711yescharacteristic
472C24C2×D4×C10712yescomplemented
473C24C24×C10711yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C10712yes—
506C2×D4#41×C10712yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C10714yes—
520C22×C4C2×D4×C10711yescharacteristic
521C22×C4C2×D4×C10711yescharacteristic
522C22×C4C2×D4×C10711yescharacteristic
523C22×C4C2×D4×C10711yescharacteristic
524C22×C4C2×D4×C10712yes—
525C22×C4C2×D4×C10711yescharacteristic
526C22×C4C2×D4×C10712yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C10712yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C10712yes—
586C23C22×D4×C10711yescharacteristic
587C23C22×D4×C10712yes—
588C23C22×D4×C10711yescharacteristic
589C23C2×#41×C10711yescharacteristic
590C23H(5,𝔽2)×C10712yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—84no—
603D4—82no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4#120×C10711yescharacteristic
637C2×C4#120×C10711yescharacteristic
638C2×C4#120×C10712yes—
639C2×C4#121×C10712yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C10711yescharacteristic
668C22C2×#121×C10711yescharacteristic
669C22#535×C10711yescharacteristic
670C22D42×C10712yes—
671C22#546×C10712yes—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—22no—
676C4—42no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2C107×#240811yescharacteristic
691C2C107×#302611yescharacteristic
692C2C107×#302711yescharacteristic
subgroupG/H
center, socleC22×C107C2×#120
commutator, Frattini, cosocleC24C24×C107
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C107 ◁ C23×C4×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#3496C2semidirect
2. C2×B(4,𝔽2)×C107C2semidirect
3. C107×#2617C2semidirect
4. C107×#2321C2semidirect
5. C107×#2044C2semidirect
6. C107×#2021C2semidirect
7. C107×#1964C2semidirect
8. C107×#1799C2semidirect
9. C107×#1790C2semidirect
21. C2×#120×C107C22semidirect
23. C22×C22⋊C4×C107C22semidirect
26. C2×#99×C107C22semidirect
27. C2×#99×C107C22semidirect
36. #386×C107C22semidirect
37. #385×C107C22semidirect
38. #380×C107C22semidirect
39. #379×C107C22semidirect
40. C4×C22⋊C4×C107C22semidirect
41. #342×C107C22semidirect
53. C22×D4×C107D4semidirect
56. C23×C4×C107D4semidirect
79. #120×C107D4semidirect
87. C2×C4⋊C4×C107D4semidirect
88. C2×C4⋊C4×C107D4semidirect
100. C2×C22⋊C4×C107D4semidirect
101. C2×C22⋊C4×C107D4semidirect
107. C2×C42×C107D4semidirect
125. C24×C107C2×D4semidirect
206. C22⋊C4×C107C2×D4semidirect
336. #24262C107direct (N × H)
347. #3496C2×C107semidirect
348. C2×B(4,𝔽2)C2×C107semidirect
349. #2617C2×C107semidirect
350. #2321C2×C107semidirect
351. #2044C2×C107semidirect
352. #2021C2×C107semidirect
353. #1964C2×C107semidirect
354. #1799C2×C107semidirect
355. #1790C2×C107semidirect
356. C107#24262direct (N × H)
368. C2×#120C22×C107semidirect
370. C22×C22⋊C4C22×C107semidirect
373. C2×#99C22×C107semidirect
374. C2×#99C22×C107semidirect
383. #386C22×C107semidirect
384. #385C22×C107semidirect
385. #380C22×C107semidirect
386. #379C22×C107semidirect
387. C4×C22⋊C4C22×C107semidirect
388. #342C22×C107semidirect
400. C22×D4D4×C107semidirect
403. C23×C4D4×C107semidirect
426. #120D4×C107semidirect
434. C2×C4⋊C4D4×C107semidirect
435. C2×C4⋊C4D4×C107semidirect
447. C2×C22⋊C4D4×C107semidirect
448. C2×C22⋊C4D4×C107semidirect
454. C2×C42D4×C107semidirect
472. C24C2×D4×C107semidirect
553. C22⋊C4C2×D4×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#34962
C2×B(4,𝔽2)×C1072
C107×#26172
C107×#23212
C107×#20442
C107×#20212
C107×#19642
C107×#17992
C107×#17902
#24262107