Finite Group Databasebeta

← C2×C107×#2200 #41059512

Subgroups — C2×C107×#2200 #41059512

Order 27392.

1328 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#560×C107C211yesmaximal, characteristic, complemented
2C2×#458×C107C211yesmaximal, characteristic, complemented
3C2×B(4,𝔽2)×C107C211yesmaximal, characteristic, complemented
4C2×#453×C107C211yesmaximal, characteristic, complemented
5C107×#2200C218yesmaximal, direct product factor
6C2×#353×C107C211yesmaximal, characteristic, complemented
7C2×#352×C107C211yesmaximal, characteristic, complemented
8C2×AΣL(1,𝔽16)×C107C211yesmaximal, characteristic, complemented
9C2×H(5,𝔽2)×C107C2211yescharacteristic
10C2×AGL(1,ℤ/8)×C107—21no—
11#560×C107—22no—
12#560×C107—22no—
13#560×C107—22no—
14#560×C107C2214yescomplemented
15C2×#127×C107C2211yescharacteristic
16C2×#126×C107—21no—
17C2×#123×C107—21no—
18C2×#123×C107—21no—
19C2×#123×C107C2211yescharacteristic
20C2×#121×C107—21no—
21C2×#121×C107—21no—
22C2×#121×C107—21no—
23C2×#120×C107—21no—
24C2×#120×C107—21no—
25C2×#120×C107C2211yescharacteristic
26#458×C107—22no—
27#458×C107C2214yescomplemented
28B(4,𝔽2)×C107—22no—
29B(4,𝔽2)×C107C2214yescomplemented
30#453×C107—22no—
31#453×C107C2214yescomplemented
32C2×#104×C107—21no—
33C2×#100×C107C2211yescharacteristic
34C2×#99×C107—21no—
35C2×#99×C107—21no—
36C2×#99×C107C2211yescharacteristic
37C2×#99×C107C2211yescharacteristic
38#353×C107C2214yescomplemented
39#352×C107C2214yescomplemented
40AΣL(1,𝔽16)×C107C2214yescomplemented
41C25×C107D411yescharacteristic
42H(5,𝔽2)×C107—21no—
43H(5,𝔽2)×C107—21no—
44H(5,𝔽2)×C107—21no—
45H(5,𝔽2)×C107—42no—
46H(5,𝔽2)×C107C2312yes—
47C2×#41×C107—21no—
48C2×#41×C107—41no—
49C22×D4×C107—21no—
50C22×D4×C107—21no—
51C22×D4×C107—21no—
52C22×D4×C107—21no—
53C22×D4×C107—21no—
54C22×D4×C107—21no—
55C22×D4×C107—21no—
56C22×D4×C107—41no—
57C22×D4×C107—41no—
58C22×D4×C107D411yescharacteristic, complemented
59C22×D4×C107C2311yescharacteristic
60C23×C4×C107—21no—
61C23×C4×C107D411yescharacteristic, complemented
62AGL(1,ℤ/8)×C107—24no—
63AGL(1,ℤ/8)×C107—42no—
64C2×SD16×C107—41no—
65C2×D8×C107—41no—
66C2×M16×C107—21no—
67#127×C107—21no—
68#127×C107—21no—
69#127×C107D412yescomplemented
70#127×C107C2312yes—
71#126×C107—24no—
72#126×C107—24no—
73#123×C107—24no—
74#123×C107—21no—
75#123×C107—21no—
76#123×C107—24no—
77#123×C107—24no—
78#123×C107—42no—
79#123×C107D412yescomplemented
80#123×C107C2312yes—
81#121×C107—24no—
82#121×C107—24no—
83#121×C107—24no—
84#121×C107—24no—
85#121×C107—24no—
86#121×C107—24no—
87#120×C107—24no—
88#120×C107—24no—
89#120×C107—21no—
90#120×C107—21no—
91#120×C107—24no—
92#120×C107—42no—
93#120×C107D412yes—
94#120×C107C2312yes—
95C2×C4⋊C4×C107—21no—
96C2×C4⋊C4×C107—21no—
97C2×C4⋊C4×C107—21no—
98C2×C4⋊C4×C107—41no—
99C2×C22⋊C4×C107—21no—
100C2×C22⋊C4×C107—21no—
101C2×C22⋊C4×C107—21no—
102C2×C22⋊C4×C107—21no—
103C2×C22⋊C4×C107—21no—
104C2×C22⋊C4×C107—21no—
105C2×C22⋊C4×C107—21no—
106C2×C22⋊C4×C107—41no—
107C2×C22⋊C4×C107—41no—
108C2×C22⋊C4×C107D411yescharacteristic
109C2×C22⋊C4×C107D411yescharacteristic, complemented
110C2×C42×C107D411yescharacteristic, complemented
111#104×C107—24no—
112#100×C107—21no—
113#100×C107C2312yes—
114#99×C107—21no—
115#99×C107—21no—
116#99×C107—24no—
117#99×C107—24no—
118#99×C107C2312yes—
119#99×C107C2312yes—
120C24×C107—21no—
121C24×C107—21no—
122C24×C107—21no—
123C24×C107—21no—
124C24×C107—21no—
125C24×C107—41no—
126C24×C107—41no—
127C24×C107—82no—
128C24×C107C2×D411yescharacteristic
129C24×C107C2×D411yescharacteristic
130C24×C107C2×D412yes—
131#41×C107—22no—
132#41×C107—22no—
133#41×C107—42no—
134#41×C107—41no—
135#41×C107—42no—
136#41×C107—42no—
137#41×C107—42no—
138#41×C107—41no—
139C2×Q8×C107—21no—
140C2×D4×C107—21no—
141C2×D4×C107—22no—
142C2×D4×C107—22no—
143C2×D4×C107—22no—
144C2×D4×C107—22no—
145C2×D4×C107—24no—
146C2×D4×C107—24no—
147C2×D4×C107—22no—
148C2×D4×C107—22no—
149C2×D4×C107—22no—
150C2×D4×C107—22no—
151C2×D4×C107—22no—
152C2×D4×C107—22no—
153C2×D4×C107—21no—
154C2×D4×C107—41no—
155C2×D4×C107—41no—
156C2×D4×C107—41no—
157C2×D4×C107—41no—
158C2×D4×C107—42no—
159C2×D4×C107—42no—
160C2×D4×C107—41no—
161C2×D4×C107—41no—
162C2×D4×C107—41no—
163C2×D4×C107—41no—
164C2×D4×C107—42no—
165C2×D4×C107—42no—
166C2×D4×C107—41no—
167C2×D4×C107—41no—
168C2×D4×C107—41no—
169C2×D4×C107—44no—
170C2×D4×C107—82no—
171C2×D4×C107—82no—
172C2×D4×C107—82no—
173C2×D4×C107—82no—
174C2×D4×C107—81no—
175C2×D4×C107—81no—
176C2×D4×C107—84no—
177C2×D4×C107C2×D411yescharacteristic
178C2×D4×C107C2×D411yescharacteristic
179C2×D4×C107C2×D411yescharacteristic
180C2×D4×C107C2×D412yescomplemented
181C2×D4×C107C2411yescharacteristic
182C22×C4×C107—21no—
183C22×C4×C107—21no—
184C22×C4×C107—21no—
185C22×C4×C107—21no—
186C22×C4×C107—21no—
187C22×C4×C107—21no—
188C22×C4×C107—24no—
189C22×C4×C107—21no—
190C22×C4×C107—41no—
191C22×C4×C107—41no—
192C22×C4×C107—41no—
193C22×C4×C107—41no—
194C22×C4×C107—41no—
195C22×C4×C107—82no—
196C22×C4×C107C2×D411yescharacteristic
197C22×C4×C107C2×D412yescomplemented
198SD16×C107—44no—
199D8×C107—44no—
200M16×C107—22no—
201M16×C107—41no—
202C2×C8×C107—41no—
203C4⋊C4×C107—24no—
204C4⋊C4×C107—24no—
205C4⋊C4×C107—22no—
206C4⋊C4×C107—22no—
207C4⋊C4×C107—44no—
208C22⋊C4×C107—24no—
209C22⋊C4×C107—24no—
210C22⋊C4×C107—24no—
211C22⋊C4×C107—22no—
212C22⋊C4×C107—21no—
213C22⋊C4×C107—21no—
214C22⋊C4×C107—22no—
215C22⋊C4×C107—22no—
216C22⋊C4×C107—22no—
217C22⋊C4×C107—22no—
218C22⋊C4×C107—22no—
219C22⋊C4×C107—44no—
220C22⋊C4×C107—41no—
221C22⋊C4×C107—41no—
222C22⋊C4×C107—44no—
223C22⋊C4×C107C2×D412yes—
224C22⋊C4×C107C2×D412yescomplemented
225C42×C107—21no—
226C42×C107C2×D412yescomplemented
227C23×C107—21no—
228C23×C107—21no—
229C23×C107—21no—
230C23×C107—21no—
231C23×C107—22no—
232C23×C107—22no—
233C23×C107—22no—
234C23×C107—22no—
235C23×C107—42no—
236C23×C107—42no—
237C23×C107—42no—
238C23×C107—42no—
239C23×C107—42no—
240C23×C107—42no—
241C23×C107—42no—
242C23×C107—41no—
243C23×C107—41no—
244C23×C107—44no—
245C23×C107—41no—
246C23×C107—41no—
247C23×C107—41no—
248C23×C107—41no—
249C23×C107—41no—
250C23×C107—81no—
251C23×C107—82no—
252C23×C107—82no—
253C23×C107—82no—
254C23×C107—84no—
255C23×C107—82no—
256C23×C107—82no—
257C23×C107#12011yescharacteristic
258C23×C107#12011yescharacteristic
259C23×C107#12011yescharacteristic
260C23×C107C22×D411yescharacteristic
261C23×C107C22×D411yescharacteristic
262Q8×C107—22no—
263Q8×C107—41no—
264D4×C107—22no—
265D4×C107—41no—
266D4×C107—41no—
267D4×C107—41no—
268D4×C107—41no—
269D4×C107—42no—
270D4×C107—41no—
271D4×C107—42no—
272D4×C107—42no—
273D4×C107—42no—
274D4×C107—42no—
275D4×C107—42no—
276D4×C107—42no—
277D4×C107—81no—
278D4×C107—82no—
279D4×C107—82no—
280D4×C107—84no—
281D4×C107—82no—
282D4×C107—82no—
283D4×C107—82no—
284D4×C107—82no—
285D4×C107—84no—
286D4×C107—88no—
287C2×C4×C107—21no—
288C2×C4×C107—21no—
289C2×C4×C107—22no—
290C2×C4×C107—22no—
291C2×C4×C107—22no—
292C2×C4×C107—22no—
293C2×C4×C107—22no—
294C2×C4×C107—22no—
295C2×C4×C107—42no—
296C2×C4×C107—42no—
297C2×C4×C107—42no—
298C2×C4×C107—42no—
299C2×C4×C107—41no—
300C2×C4×C107—41no—
301C2×C4×C107—42no—
302C2×C4×C107—41no—
303C2×C4×C107—41no—
304C2×C4×C107—41no—
305C2×C4×C107—42no—
306C2×C4×C107—42no—
307C2×C4×C107—42no—
308C2×C4×C107—81no—
309C2×C4×C107—84no—
310C2×C4×C107—82no—
311C2×C4×C107—82no—
312C2×C4×C107#12011yescharacteristic
313C2×C4×C107C22×D411yescharacteristic
314C8×C107—42no—
315C22×C107—22no—
316C22×C107—21no—
317C22×C107—21no—
318C22×C107—21no—
319C22×C107—21no—
320C22×C107—41no—
321C22×C107—41no—
322C22×C107—41no—
323C22×C107—41no—
324C22×C107—42no—
325C22×C107—42no—
326C22×C107—42no—
327C22×C107—42no—
328C22×C107—42no—
329C22×C107—42no—
330C22×C107—44no—
331C22×C107—42no—
332C22×C107—42no—
333C22×C107—42no—
334C22×C107—81no—
335C22×C107—81no—
336C22×C107—82no—
337C22×C107—82no—
338C22×C107—82no—
339C22×C107—82no—
340C22×C107—82no—
341C22×C107—84no—
342C22×C107—82no—
343C22×C107—82no—
344C22×C107—82no—
345C22×C107—161no—
346C22×C107—161no—
347C22×C107B(4,𝔽2)11yescharacteristic
348C22×C107B(4,𝔽2)11yescharacteristic
349C22×C107C2×#12011yescharacteristic
350C4×C107—21no—
351C4×C107—21no—
352C4×C107—42no—
353C4×C107—42no—
354C4×C107—42no—
355C4×C107—42no—
356C4×C107—42no—
357C4×C107—82no—
358C4×C107—82no—
359C2×#2200C10711yesmaximal, characteristic, direct product factor, Sylow
360C2×C107—21no—
361C2×C107—21no—
362C2×C107—41no—
363C2×C107—41no—
364C2×C107—41no—
365C2×C107—41no—
366C2×C107—82no—
367C2×C107—82no—
368C2×C107—82no—
369C2×C107#220012yesdirect product factor
370C2×C107C2×B(4,𝔽2)11yescharacteristic
371C2×#560C2×C10711yescharacteristic, complemented
372C2×#458C2×C10711yescharacteristic, complemented
373C2×B(4,𝔽2)C2×C10711yescharacteristic, complemented
374C2×#453C2×C10711yescharacteristic, complemented
375#2200C2×C10718yesdirect product factor
376C2×#353C2×C10711yescharacteristic, complemented
377C2×#352C2×C10711yescharacteristic, complemented
378C2×AΣL(1,𝔽16)C2×C10711yescharacteristic, complemented
379C107C2×#220011yescharacteristic, direct product factor, Sylow
380C2×H(5,𝔽2)C22×C10711yescharacteristic
381C2×AGL(1,ℤ/8)—21no—
382#560—22no—
383#560—22no—
384#560—22no—
385#560C22×C10714yescomplemented
386C2×#127C22×C10711yescharacteristic
387C2×#126—21no—
388C2×#123—21no—
389C2×#123—21no—
390C2×#123C22×C10711yescharacteristic
391C2×#121—21no—
392C2×#121—21no—
393C2×#121—21no—
394C2×#120—21no—
395C2×#120—21no—
396C2×#120C22×C10711yescharacteristic
397#458—22no—
398#458C22×C10714yescomplemented
399B(4,𝔽2)—22no—
400B(4,𝔽2)C22×C10714yescomplemented
401#453—22no—
402#453C22×C10714yescomplemented
403C2×#104—21no—
404C2×#100C22×C10711yescharacteristic
405C2×#99—21no—
406C2×#99—21no—
407C2×#99C22×C10711yescharacteristic
408C2×#99C22×C10711yescharacteristic
409#353C22×C10714yescomplemented
410#352C22×C10714yescomplemented
411AΣL(1,𝔽16)C22×C10714yescomplemented
412C25D4×C10711yescharacteristic
413H(5,𝔽2)—21no—
414H(5,𝔽2)—21no—
415H(5,𝔽2)—21no—
416H(5,𝔽2)—42no—
417H(5,𝔽2)C23×C10712yes—
418C2×#41—21no—
419C2×#41—41no—
420C22×D4—21no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—41no—
428C22×D4—41no—
429C22×D4D4×C10711yescharacteristic, complemented
430C22×D4C23×C10711yescharacteristic
431C23×C4—21no—
432C23×C4D4×C10711yescharacteristic, complemented
433AGL(1,ℤ/8)—24no—
434AGL(1,ℤ/8)—42no—
435C2×SD16—41no—
436C2×D8—41no—
437C2×M16—21no—
438#127—21no—
439#127—21no—
440#127D4×C10712yescomplemented
441#127C23×C10712yes—
442#126—24no—
443#126—24no—
444#123—24no—
445#123—21no—
446#123—21no—
447#123—24no—
448#123—24no—
449#123—42no—
450#123D4×C10712yescomplemented
451#123C23×C10712yes—
452#121—24no—
453#121—24no—
454#121—24no—
455#121—24no—
456#121—24no—
457#121—24no—
458#120—24no—
459#120—24no—
460#120—21no—
461#120—21no—
462#120—24no—
463#120—42no—
464#120D4×C10712yes—
465#120C23×C10712yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—41no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—41no—
478C2×C22⋊C4—41no—
479C2×C22⋊C4D4×C10711yescharacteristic
480C2×C22⋊C4D4×C10711yescharacteristic, complemented
481C2×C42D4×C10711yescharacteristic, complemented
482#104—24no—
483#100—21no—
484#100C23×C10712yes—
485#99—21no—
486#99—21no—
487#99—24no—
488#99—24no—
489#99C23×C10712yes—
490#99C23×C10712yes—
491C24—21no—
492C24—21no—
493C24—21no—
494C24—21no—
495C24—21no—
496C24—41no—
497C24—41no—
498C24—82no—
499C24C2×D4×C10711yescharacteristic
500C24C2×D4×C10711yescharacteristic
501C24C2×D4×C10712yes—
502#41—22no—
503#41—22no—
504#41—42no—
505#41—41no—
506#41—42no—
507#41—42no—
508#41—42no—
509#41—41no—
510C2×Q8—21no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—24no—
517C2×D4—24no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—41no—
526C2×D4—41no—
527C2×D4—41no—
528C2×D4—41no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—41no—
532C2×D4—41no—
533C2×D4—41no—
534C2×D4—41no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—41no—
538C2×D4—41no—
539C2×D4—41no—
540C2×D4—44no—
541C2×D4—82no—
542C2×D4—82no—
543C2×D4—82no—
544C2×D4—82no—
545C2×D4—81no—
546C2×D4—81no—
547C2×D4—84no—
548C2×D4C2×D4×C10711yescharacteristic
549C2×D4C2×D4×C10711yescharacteristic
550C2×D4C2×D4×C10711yescharacteristic
551C2×D4C2×D4×C10712yescomplemented
552C2×D4C24×C10711yescharacteristic
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—24no—
560C22×C4—21no—
561C22×C4—41no—
562C22×C4—41no—
563C22×C4—41no—
564C22×C4—41no—
565C22×C4—41no—
566C22×C4—82no—
567C22×C4C2×D4×C10711yescharacteristic
568C22×C4C2×D4×C10712yescomplemented
569SD16—44no—
570D8—44no—
571M16—22no—
572M16—41no—
573C2×C8—41no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—44no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—22no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—44no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—44no—
594C22⋊C4C2×D4×C10712yes—
595C22⋊C4C2×D4×C10712yescomplemented
596C42—21no—
597C42C2×D4×C10712yescomplemented
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—41no—
614C23—41no—
615C23—44no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—84no—
626C23—82no—
627C23—82no—
628C23#120×C10711yescharacteristic
629C23#120×C10711yescharacteristic
630C23#120×C10711yescharacteristic
631C23C22×D4×C10711yescharacteristic
632C23C22×D4×C10711yescharacteristic
633Q8—22no—
634Q8—41no—
635D4—22no—
636D4—41no—
637D4—41no—
638D4—41no—
639D4—41no—
640D4—42no—
641D4—41no—
642D4—42no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—84no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—84no—
657D4—88no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—81no—
680C2×C4—84no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4#120×C10711yescharacteristic
684C2×C4C22×D4×C10711yescharacteristic
685C8—42no—
686C22—22no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—44no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—84no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—161no—
717C22—161no—
718C22B(4,𝔽2)×C10711yescharacteristic
719C22B(4,𝔽2)×C10711yescharacteristic
720C22C2×#120×C10711yescharacteristic
721C4—21no—
722C4—21no—
723C4—42no—
724C4—42no—
725C4—42no—
726C4—42no—
727C4—42no—
728C4—82no—
729C4—82no—
730C2—21no—
731C2—21no—
732C2—41no—
733C2—41no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—82no—
739C2C107×#220012yesdirect product factor
740C2C2×B(4,𝔽2)×C10711yescharacteristic
subgroupG/H
center, socleC22×C107B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C107
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C22×C107 ◁ C23×C107 ◁ C22×D4×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#560×C107C2semidirect
2. C2×#458×C107C2semidirect
3. C2×B(4,𝔽2)×C107C2semidirect
4. C2×#453×C107C2semidirect
5. C107×#2200C2direct (N × H)
6. C2×#353×C107C2semidirect
7. C2×#352×C107C2semidirect
8. C2×AΣL(1,𝔽16)×C107C2semidirect
14. #560×C107C22semidirect
27. #458×C107C22semidirect
29. B(4,𝔽2)×C107C22semidirect
31. #453×C107C22semidirect
38. #353×C107C22semidirect
39. #352×C107C22semidirect
40. AΣL(1,𝔽16)×C107C22semidirect
58. C22×D4×C107D4semidirect
61. C23×C4×C107D4semidirect
69. #127×C107D4semidirect
79. #123×C107D4semidirect
109. C2×C22⋊C4×C107D4semidirect
110. C2×C42×C107D4semidirect
180. C2×D4×C107C2×D4semidirect
197. C22×C4×C107C2×D4semidirect
224. C22⋊C4×C107C2×D4semidirect
226. C42×C107C2×D4semidirect
359. C2×#2200C107direct (N × H)
369. C2×C107#2200direct (N × H)
371. C2×#560C2×C107semidirect
372. C2×#458C2×C107semidirect
373. C2×B(4,𝔽2)C2×C107semidirect
374. C2×#453C2×C107semidirect
375. #2200C2×C107direct (N × H)
376. C2×#353C2×C107semidirect
377. C2×#352C2×C107semidirect
378. C2×AΣL(1,𝔽16)C2×C107semidirect
379. C107C2×#2200direct (N × H)
385. #560C22×C107semidirect
398. #458C22×C107semidirect
400. B(4,𝔽2)C22×C107semidirect
402. #453C22×C107semidirect
409. #353C22×C107semidirect
410. #352C22×C107semidirect
411. AΣL(1,𝔽16)C22×C107semidirect
429. C22×D4D4×C107semidirect
432. C23×C4D4×C107semidirect
440. #127D4×C107semidirect
450. #123D4×C107semidirect
480. C2×C22⋊C4D4×C107semidirect
481. C2×C42D4×C107semidirect
551. C2×D4C2×D4×C107semidirect
568. C22×C4C2×D4×C107semidirect
595. C22⋊C4C2×D4×C107semidirect
597. C42C2×D4×C107semidirect
739. C2C107×#2200direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#560×C1072
C2×#458×C1072
C2×B(4,𝔽2)×C1072
C2×#453×C1072
C107×#22002
C2×#353×C1072
C2×#352×C1072
C2×AΣL(1,𝔽16)×C1072
C2×#2200107