Finite Group Databasebeta

← #13370161

Subgroups — #13370161

Order 1792.

1122 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90232C211yesmaximal, characteristic
2C2×C7×#435C211yesmaximal, characteristic
3#11739782C211yesmaximal, characteristic
4#11729743C211yesmaximal, characteristic, complemented
5#11729739C211yesmaximal, characteristic, complemented
6#11729726C211yesmaximal, characteristic, complemented
7#11729723C211yesmaximal, characteristic, complemented
8#11728239C211yesmaximal, characteristic, complemented
9#11728215C211yesmaximal, characteristic, complemented
10#11727685C211yesmaximal, characteristic, complemented
11#11727685C211yesmaximal, characteristic, complemented
12#11727680C211yesmaximal, characteristic, complemented
13#11727679C211yesmaximal, characteristic, complemented
14#11727581C211yesmaximal, characteristic, complemented
15#11727567C211yesmaximal, characteristic, complemented
16C22×C7×M16C2211yescharacteristic
17C23×C7×C8C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C2×#6498—21no—
20C2×#6489C2211yescharacteristic
21C2×#6489C2211yescharacteristic
22C2×#6489C2211yescharacteristic
23C22×C4⋊Dic7C2211yescharacteristic
24C2×#6487C2211yescharacteristic
25C2×#6487C2211yescharacteristic
26#90232—24no—
27#90232C418yescomplemented
28C2×#6452—21no—
29C2×#6442—21no—
30C2×#6440—21no—
31C2×#6433C2211yescharacteristic
32C2×C4×Dic14C2211yescharacteristic
33C7×#435—24no—
34C2×C7×C4⋊C8C2211yescharacteristic
35C2×C7×C22⋊C8C2211yescharacteristic
36C2×C7×C22⋊C8C2211yescharacteristic
37C2×C7×#97C2211yescharacteristic
38#89993—21no—
39#89984C2211yescharacteristic
40#89984C2211yescharacteristic
41C2×#6390C2211yescharacteristic
42C2×#6390C2211yescharacteristic
43C2×#6390C2211yescharacteristic
44C2×#6390C2211yescharacteristic
45C4⋊C4×Dic7—21no—
46#89723—21no—
47#89723—21no—
48#89707C2211yescharacteristic
49C4×C4⋊Dic7C2211yescharacteristic
50#89346C2211yescharacteristic
51#89346C2211yescharacteristic
52#89346C2211yescharacteristic
53#89346C2211yescharacteristic
54#89346C2211yescharacteristic
55#89346C2211yescharacteristic
56#89346C2211yescharacteristic
57#89346C2211yescharacteristic
58#89346C2211yescharacteristic
59#89346C2211yescharacteristic
60#89346C2211yescharacteristic
61#89346C2211yescharacteristic
62#22496—71nomaximal, Sylow
63C22×C7×D4D411yescharacteristic
64C23×C4×C7C2311yescharacteristic
65C23×C4×C7C2311yescharacteristic
66C23×Dic7—21no—
67C22×Dic14C2311yescharacteristic
68C2×C7×M16—22no—
69C2×C7×M16—22no—
70C2×C7×M16—41no—
71C22×C7×C8—22no—
72C22×C7×C8—22no—
73C22×C7×C8—41no—
74C22×C7×C8C2311yescharacteristic
75C22×C7×C8C2311yescharacteristic
76C22×C7×C8C2311yescharacteristic
77C22×C7×C8C2311yescharacteristic
78C4×C7×D4C2×C414yes—
79C4×C7×D4D414yes—
80C2×C7×C4⋊C4D411yescharacteristic
81C2×C7×C22⋊C4D411yescharacteristic
82C2×C7×C22⋊C4D411yescharacteristic
83C2×C42×C7C2311yescharacteristic
84C2×C22⋊Dic7—21no—
85C2×C22⋊Dic7—21no—
86C2×C22⋊Dic7—21no—
87C2×C22⋊Dic7—21no—
88C2×C22⋊Dic7—21no—
89C2×C22⋊Dic7—21no—
90C2×C22⋊Dic7—21no—
91#6498—28no—
92#6489—22no—
93#6489—22no—
94#6489—22no—
95#6489—41no—
96#6489—41no—
97#6489C2×C414yes—
98C2×C4⋊Dic7—21no—
99C2×C4⋊Dic7—22no—
100C2×C4⋊Dic7—21no—
101C2×C4⋊Dic7—21no—
102C2×C4⋊Dic7C2×C414yes—
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4⋊Dic7C2311yescharacteristic
105C2×C4⋊Dic7C2311yescharacteristic
106C2×C4⋊Dic7C2311yescharacteristic
107C2×C4⋊Dic7C2311yescharacteristic
108C2×C4⋊Dic7C2311yescharacteristic
109C2×C4⋊Dic7C2311yescharacteristic
110#6487—22no—
111#6487—22no—
112#6487C2×C414yes—
113#6487C2×C414yes—
114C2×Dic7⋊C4—21no—
115C2×Dic7⋊C4—21no—
116C2×Dic7⋊C4—21no—
117C2×Dic7⋊C4—21no—
118C2×Dic7⋊C4—21no—
119C2×C4×Dic7—21no—
120C2×C4×Dic7—21no—
121C2×C4×Dic7—21no—
122C2×C4×Dic7—21no—
123C2×C4×Dic7—21no—
124#6452—28no—
125#6442—28no—
126#6440—28no—
127#6433—22no—
128#6433C2×C414yes—
129C4×Dic14—22no—
130C4×Dic14C2×C414yes—
131C7×C4⋊C8—22no—
132C7×C22⋊C8—22no—
133C7×C22⋊C8—22no—
134C7×#97—22no—
135C7⋊#95—21no—
136C7⋊#95—21no—
137C7⋊#95—21no—
138#6390—22no—
139#6390—22no—
140#6390—41no—
141#6390—41no—
142C2×#552—71no—
143C2×#435D711yescharacteristic
144#2354—71no—
145#1992—71no—
146#1989—71no—
147#1894—71no—
148#1892—71no—
149#1873—71no—
150#1873—71no—
151#1825—71no—
152#1824—71no—
153#1803—71no—
154#1763—71no—
155#1736—71no—
156#1735—71no—
157C24×C7C2×D411yescharacteristic
158C24×C7C2×D411yescharacteristic
159C2×C7×D4—41no—
160C2×C7×D4—41no—
161C2×C7×D4C22⋊C414yes—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7—21no—
166C22×C4×C7—21no—
167C22×C4×C7—21no—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7C22×C412yes—
171C22×C4×C7C22×C412yes—
172C22×C4×C7C2×D411yescharacteristic
173C22×C4×C7C2×D411yescharacteristic
174C22×C4×C7C2×D411yescharacteristic
175C22×C4×C7C2×D411yescharacteristic
176C22×C4×C7C2×D412yes—
177C22×C4×C7C2×D412yes—
178C22×C4×C7C2411yescharacteristic
179C22×Dic7—24no—
180C22×Dic7—21no—
181C22×Dic7—21no—
182C22×Dic7—21no—
183C22×Dic7—21no—
184C22×Dic7—21no—
185C22×Dic7—21no—
186C22×Dic7—21no—
187C22×Dic7—21no—
188C22×Dic7—42no—
189C22×Dic7—42no—
190C2×Dic14—21no—
191C2×Dic14—21no—
192C2×Dic14—21no—
193C2×Dic14—21no—
194C2×Dic14—21no—
195C2×Dic14C22×C412yes—
196C7×M16—44no—
197C2×C7×C8—21no—
198C2×C7×C8—21no—
199C2×C7×C8—21no—
200C2×C7×C8—21no—
201C2×C7×C8—21no—
202C2×C7×C8—21no—
203C2×C7×C8—21no—
204C2×C7×C8—21no—
205C2×C7×C8—21no—
206C2×C7×C8—21no—
207C2×C7×C8—21no—
208C2×C7×C8—44no—
209C2×C7×C8#4112yes—
210C7×C4⋊C4C22⋊C414yes—
211C7×C22⋊C4C22⋊C414yes—
212C7×C22⋊C4C22⋊C414yes—
213C42×C7C22×C412yes—
214C42×C7C2×D412yes—
215C22⋊Dic7—24no—
216C22⋊Dic7—24no—
217C22⋊Dic7—24no—
218C22⋊Dic7—42no—
219C22⋊Dic7—42no—
220C22⋊Dic7—81no—
221C22⋊Dic7—81no—
222C4⋊Dic7—24no—
223C4⋊Dic7—21no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7—21no—
230C4⋊Dic7—21no—
231C4⋊Dic7—21no—
232C4⋊Dic7—21no—
233C4⋊Dic7—42no—
234C4⋊Dic7—81no—
235C4⋊Dic7C22×C412yes—
236C4⋊Dic7C22×C412yes—
237C4⋊Dic7C22×C412yes—
238C4⋊Dic7#4112yes—
239Dic7⋊C4—24no—
240Dic7⋊C4—24no—
241Dic7⋊C4—24no—
242Dic7⋊C4—24no—
243Dic7⋊C4—24no—
244C4×Dic7—24no—
245C4×Dic7—24no—
246C4×Dic7—42no—
247C4×Dic7—42no—
248C4×Dic7—42no—
249C22×M16C2×D711yescharacteristic
250C23×C8C2×D711yescharacteristic
251#552—78no—
252#552—144no—
253C2×#126—141no—
254C2×#125—71no—
255C2×#125—141no—
256C2×#123—141no—
257C2×C22⋊Q8—71no—
258C2×C22⋊Q8—71no—
259C2×C4×Q8—71no—
260C2×C4×D4C2×D711yescharacteristic
261C2×#117—71no—
262C2×#117—71no—
263C2×#117—71no—
264C2×#117—141no—
265C22×C4⋊C4—71no—
266#435—24no—
267C2×C4⋊C8C2×D711yescharacteristic
268C2×#103—71no—
269C2×#103—71no—
270C2×#103—71no—
271C2×#103—71no—
272C2×C22⋊C8C2×D711yescharacteristic
273C2×C22⋊C8C2×D711yescharacteristic
274C2×#97C2×D711yescharacteristic
275#390—141no—
276#388—141no—
277#388—141no—
278#384—71no—
279#380—71no—
280#380—71no—
281C4×C4⋊C4—71no—
282C4×C4⋊C4—141no—
283#340—71no—
284#340—71no—
285#340—71no—
286#340—71no—
287#340—71no—
288#340—71no—
289#340—71no—
290#340—71no—
291#340—71no—
292#340—71no—
293#340—71no—
294#340—71no—
295C23×C7—21no—
296C23×C7—21no—
297C23×C7—21no—
298C23×C7—21no—
299C23×C7—21no—
300C23×C7—21no—
301C23×C7—21no—
302C23×C7—21no—
303C23×C7—21no—
304C23×C7—21no—
305C23×C7—21no—
306C23×C7—21no—
307C23×C7C2×C22⋊C412yes—
308C23×C7C2×C22⋊C412yes—
309C23×C7C22×D411yescharacteristic
310C7×D4—44no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—21no—
318C2×C4×C7—21no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—22no—
322C2×C4×C7—22no—
323C2×C4×C7—22no—
324C2×C4×C7—22no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7C2×C22⋊C412yes—
328C2×C4×C7C2×C22⋊C412yes—
329C2×C4×C7C2×C22⋊C412yes—
330C2×C4×C7C2×C22⋊C412yes—
331C2×C4×C7C23×C411yescharacteristic
332C2×C4×C7C22×D411yescharacteristic
333C2×C4×C7C2×#4111yescharacteristic
334C2×C4×C7C2×#4111yescharacteristic
335C2×C4×C7H(5,𝔽2)11yescharacteristic
336C2×C4×C72−1+411yescharacteristic
337C2×Dic7—22no—
338C2×Dic7—22no—
339C2×Dic7—22no—
340C2×Dic7—22no—
341C2×Dic7—22no—
342C2×Dic7—48no—
343C2×Dic7—41no—
344C2×Dic7—41no—
345C2×Dic7—41no—
346C2×Dic7—41no—
347C2×Dic7—41no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—41no—
356C2×Dic7—41no—
357C2×Dic7—41no—
358C2×Dic7—41no—
359C2×Dic7—41no—
360C2×Dic7—41no—
361C2×Dic7—41no—
362Dic14—22no—
363Dic14—22no—
364Dic14—41no—
365Dic14—41no—
366C7×C8—22no—
367C7×C8—41no—
368C7×C8—41no—
369C7×C8—41no—
370C22×Q8—71no—
371C22×D4D2811yescharacteristic
372C23×C4—141no—
373C23×C4C22×D711yescharacteristic
374C23×C4C22×D711yescharacteristic
375C2×M16—22no—
376C2×M16—22no—
377C2×M16—41no—
378C22×C8—22no—
379C22×C8—22no—
380C22×C8—41no—
381C22×C8C22×D711yescharacteristic
382C22×C8C22×D711yescharacteristic
383C22×C8C22×D711yescharacteristic
384C22×C8C22×D711yescharacteristic
385#126—148no—
386#125—74no—
387#125—148no—
388#125—142no—
389#123—148no—
390C22⋊Q8—74no—
391C22⋊Q8—74no—
392C22⋊Q8—142no—
393C22⋊Q8—142no—
394C4×Q8—74no—
395C4×Q8—142no—
396C4×D4C4×D714yes—
397C4×D4C22⋊D714yes—
398#117—74no—
399#117—142no—
400#117—148no—
401#117—142no—
402#117—142no—
403#117—281no—
404#117—281no—
405C2×C4⋊C4—74no—
406C2×C4⋊C4—71no—
407C2×C4⋊C4—71no—
408C2×C4⋊C4—71no—
409C2×C4⋊C4—71no—
410C2×C4⋊C4—71no—
411C2×C4⋊C4—71no—
412C2×C4⋊C4—71no—
413C2×C4⋊C4—141no—
414C2×C4⋊C4—141no—
415C2×C4⋊C4—141no—
416C2×C4⋊C4—141no—
417C2×C4⋊C4—141no—
418C2×C4⋊C4—141no—
419C2×C4⋊C4—142no—
420C2×C4⋊C4—141no—
421C2×C4⋊C4—141no—
422C2×C4⋊C4D2811yescharacteristic
423C2×C22⋊C4—141no—
424C2×C22⋊C4—141no—
425C2×C22⋊C4—141no—
426C2×C22⋊C4—141no—
427C2×C22⋊C4—141no—
428C2×C22⋊C4—141no—
429C2×C22⋊C4—141no—
430C2×C22⋊C4D2811yescharacteristic
431C2×C22⋊C4D2811yescharacteristic
432C2×C42—141no—
433C2×C42—141no—
434C2×C42—141no—
435C2×C42—141no—
436C2×C42—141no—
437C2×C42C22×D711yescharacteristic
438C4⋊C8—22no—
439#103—142no—
440#103—142no—
441#103—281no—
442#103—281no—
443C22⋊C8—22no—
444C22⋊C8—22no—
445#97—22no—
446#95—141no—
447#95—141no—
448#95—141no—
449C22×C7—22no—
450C22×C7—22no—
451C22×C7—22no—
452C22×C7—22no—
453C22×C7—22no—
454C22×C7—22no—
455C22×C7—41no—
456C22×C7—41no—
457C22×C7—41no—
458C22×C7—41no—
459C22×C7—41no—
460C22×C7—41no—
461C22×C7—41no—
462C22×C7—41no—
463C22×C7C22×C22⋊C411yescharacteristic
464C22×C7#54611yescharacteristic
465C22×C7#54711yescharacteristic
466C22×C7#57511yescharacteristic
467C22×C7#57511yescharacteristic
468C22×C7#57711yescharacteristic
469C22×C7#57811yescharacteristic
470C4×C7—22no—
471C4×C7—22no—
472C4×C7—22no—
473C4×C7—22no—
474C4×C7C4×#4111yescharacteristic
475C4×C7#52011yescharacteristic
476C4×C7#54611yescharacteristic
477C4×C7#54711yescharacteristic
478Dic7—42no—
479Dic7—42no—
480Dic7—42no—
481Dic7—42no—
482Dic7—42no—
483Dic7—81no—
484Dic7—81no—
485Dic7—81no—
486C24C2×D2811yescharacteristic
487C24C2×D2811yescharacteristic
488C2×Q8—72no—
489C2×Q8—141no—
490C2×Q8—141no—
491C2×Q8—141no—
492C2×Q8—141no—
493C2×Q8—141no—
494C2×D4—41no—
495C2×D4—41no—
496C2×D4(C2×D7)⋊C414yes—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—144no—
506C22×C4—141no—
507C22×C4—141no—
508C22×C4—141no—
509C22×C4—141no—
510C22×C4—141no—
511C22×C4—141no—
512C22×C4—141no—
513C22×C4—141no—
514C22×C4—282no—
515C22×C4—282no—
516C22×C4C2×C4×D712yes—
517C22×C4C2×C4×D712yes—
518C22×C4C2×D2811yescharacteristic
519C22×C4C2×D2811yescharacteristic
520C22×C4C2×D2811yescharacteristic
521C22×C4C2×D2811yescharacteristic
522C22×C4C2×C22⋊D712yes—
523C22×C4C2×C22⋊D712yes—
524C22×C4C23×D711yescharacteristic
525M16—44no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—44no—
538C2×C8#115912yes—
539C4⋊C4—72no—
540C4⋊C4—72no—
541C4⋊C4—72no—
542C4⋊C4—72no—
543C4⋊C4—144no—
544C4⋊C4—144no—
545C4⋊C4—144no—
546C4⋊C4—144no—
547C4⋊C4—144no—
548C4⋊C4—144no—
549C4⋊C4—141no—
550C4⋊C4—141no—
551C4⋊C4—141no—
552C4⋊C4—141no—
553C4⋊C4—141no—
554C4⋊C4—141no—
555C4⋊C4—141no—
556C4⋊C4—141no—
557C4⋊C4—141no—
558C4⋊C4—141no—
559C4⋊C4—282no—
560C4⋊C4—561no—
561C4⋊C4(C2×D7)⋊C414yes—
562C22⋊C4—144no—
563C22⋊C4—144no—
564C22⋊C4—144no—
565C22⋊C4—282no—
566C22⋊C4—282no—
567C22⋊C4—561no—
568C22⋊C4—561no—
569C22⋊C4(C2×D7)⋊C414yes—
570C22⋊C4(C2×D7)⋊C414yes—
571C42—144no—
572C42—144no—
573C42—282no—
574C42—282no—
575C42—282no—
576C42C2×C4×D712yes—
577C42C2×C22⋊D712yes—
578C2×C7—42no—
579C2×C7—42no—
580C2×C7#233911yescharacteristic
581C2×C7#289611yescharacteristic
582C2×C7#289811yescharacteristic
583C2×C7#331511yescharacteristic
584C2×C7#331711yescharacteristic
585C2×C7#334811yescharacteristic
586C2×C7#334911yescharacteristic
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23C2×(C2×D7)⋊C412yes—
600C23C2×(C2×D7)⋊C412yes—
601C23C22×D2811yescharacteristic
602Q8—142no—
603Q8—142no—
604Q8—281no—
605Q8—281no—
606D4—44no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—142no—
624C2×C4—142no—
625C2×C4—142no—
626C2×C4—142no—
627C2×C4—142no—
628C2×C4—288no—
629C2×C4—281no—
630C2×C4—281no—
631C2×C4—281no—
632C2×C4—281no—
633C2×C4—281no—
634C2×C4—281no—
635C2×C4—281no—
636C2×C4—281no—
637C2×C4—281no—
638C2×C4—281no—
639C2×C4—281no—
640C2×C4—281no—
641C2×C4—281no—
642C2×C4—281no—
643C2×C4—281no—
644C2×C4—281no—
645C2×C4—281no—
646C2×C4—281no—
647C2×C4—281no—
648C2×C4C2×(C2×D7)⋊C412yes—
649C2×C4C2×(C2×D7)⋊C412yes—
650C2×C4C2×(C2×D7)⋊C412yes—
651C2×C4C2×(C2×D7)⋊C412yes—
652C2×C4C22×C4×D711yescharacteristic
653C2×C4C2×#115911yescharacteristic
654C2×C4#654811yescharacteristic
655C2×C4D7×#4111yescharacteristic
656C2×C4#655411yescharacteristic
657C2×C4C22×C22⋊D711yescharacteristic
658C8—22no—
659C8—41no—
660C8—41no—
661C8—41no—
662C7#2249611yescharacteristic, complemented, Sylow
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22#9024511yescharacteristic
678C22#9024611yescharacteristic
679C22#9043911yescharacteristic
680C22#9043911yescharacteristic
681C22#9044211yescharacteristic
682C22#9044411yescharacteristic
683C22C22×(C2×D7)⋊C411yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—282no—
689C4—282no—
690C4—282no—
691C4—282no—
692C4—282no—
693C4—561no—
694C4—561no—
695C4—561no—
696C4C4×#115911yescharacteristic
697C4#9023711yescharacteristic
698C4#9049711yescharacteristic
699C4#9051511yescharacteristic
700C2—42no—
701C2—42no—
702C2#1173691911yescharacteristic
703C2#1173692011yescharacteristic
704C2#1173694911yescharacteristic
705C2#1173695911yescharacteristic
706C2#1173977511yescharacteristic
707C2#1174121311yescharacteristic
708C2#1174125111yescharacteristic
subgroupG/H
centerC23C22×D28
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC2×C7×#435C2
socleC23×C7C22×D4
prime radicalC22×C7×D4D4
cosocleC22×C4×C7C24
hypercenterC2×#435D7
hypocenterC7#22496
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
4. #11729743C2semidirect
5. #11729739C2semidirect
6. #11729726C2semidirect
7. #11729723C2semidirect
8. #11728239C2semidirect
9. #11728215C2semidirect
10. #11727685C2semidirect
11. #11727685C2semidirect
12. #11727680C2semidirect
13. #11727679C2semidirect
14. #11727581C2semidirect
15. #11727567C2semidirect
27. #90232C4semidirect
662. C7#22496semidirect

Maximal subgroups

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

subgroupindex
C2×#902322
C2×C7×#4352
#117397822
#117297432
#117297392
#117297262
#117297232
#117282392
#117282152
#117276852
#117276802
#117276792
#117275812
#117275672
#224967