Finite Group Databasebeta

← #14233889

Subgroups — #14233889

Order 1792.

1798 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
1C7×#3501C211yesmaximal, characteristic, complemented
2#11743328C211yesmaximal, characteristic, complemented
3#11741090C214yesmaximal, complemented
4#11741089C214yesmaximal, complemented
5#11741084C214yesmaximal, complemented
6#11741008C214yesmaximal, complemented
7#11740920C212yesmaximal, complemented
8#11740916C212yesmaximal, complemented
9#11740812C211yesmaximal, characteristic, complemented
10#11740780C211yesmaximal, characteristic, complemented
11#11740774C211yesmaximal, characteristic, complemented
12#11739989C212yesmaximal, complemented
13#11739982C212yesmaximal, complemented
14#11739752C211yesmaximal, characteristic
15C2×#89790C211yesmaximal, characteristic, complemented
16C7×#554—21no—
17C7×#554—22no—
18C7×#554C2214yes—
19C7×#554C2212yes—
20C7×D4×Q8—21no—
21C7×D4×Q8C2212yes—
22C7×#544C2212yes—
23C7×#543—22no—
24C7×#533C2211yescharacteristic
25C7×#533C2211yescharacteristic
26C2×C7×C22⋊Q8—22no—
27C7×#518C2212yes—
28C2×C4×C7×D4C2211yescharacteristic
29C22×#1142C2211yescharacteristic
30C2×#6495C2212yes—
31#90423—21no—
32#90421—21no—
33#90385—22no—
34#90336—22no—
35#90315—22no—
36#90276C2212yescomplemented
37#90275C2214yescomplemented
38#90261C2212yescomplemented
39#90217C2212yes—
40#90214C2212yes—
41#90168C2211yescharacteristic
42C2×C4×Dic14C2211yescharacteristic
43C2×#6406C2211yescharacteristic
44#89866C2212yescomplemented
45#89865C2214yescomplemented
46#89863C2212yescomplemented
47#89863C2214yescomplemented
48#89861C2212yescomplemented
49#89861C2214yescomplemented
50#89861C2212yescomplemented
51#89859C2214yescomplemented
52#89841C2212yescomplemented
53#89841C2214yescomplemented
54#89840C2214yescomplemented
55#89839C2212yescomplemented
56#89838C2214yescomplemented
57#89835C2214yescomplemented
58#89835C2214yescomplemented
59#89796C2214yescomplemented
60#89796C2214yescomplemented
61#89791C2214yes—
62#89791C2214yes—
63#89791C2212yes—
64#89790C2214yes—
65#89790C2214yes—
66#89790C2214yes—
67C4×#1142C2214yes—
68#89788C2214yes—
69#89788C2214yes—
70#89788C2214yes—
71#89787C2212yes—
72#89786C2214yes—
73C4×#1141C2214yes—
74#89776C2212yes—
75#89774C2212yes—
76#89774C2212yes—
77#89771C2212yes—
78#89769C2212yes—
79#89767C2212yes—
80C2×#6384C2211yescharacteristic
81#89738C2212yes—
82C2×#6381C2211yescharacteristic
83#89696C2211yescharacteristic
84C2×#6377C2211yescharacteristic
85#61333—71nomaximal, Sylow
86C22×C7×Q8—22no—
87C22×C7×D4C2311yescharacteristic
88C23×C4×C7—21no—
89C2×#1157C2312yes—
90C22×Dic14C2311yescharacteristic
91C7×C4⋊Q8—22no—
92C7×C4⋊Q8D411yescharacteristic
93C7×C4⋊Q8D411yescharacteristic
94C7×C4⋊Q8C2314yes—
95C7×C4⋊Q8C2311yescharacteristic
96C7×C4⋊Q8C2311yescharacteristic
97C7×#125—22no—
98C7×#125D412yes—
99C7×#125C2312yes—
100C7×#125C2314yes—
101C7×C22⋊Q8—22no—
102C7×C22⋊Q8—24no—
103C7×C22⋊Q8—21no—
104C7×C22⋊Q8—21no—
105C7×C22⋊Q8—22no—
106C7×C22⋊Q8—24no—
107C7×C22⋊Q8—24no—
108C7×C22⋊Q8—24no—
109C7×C22⋊Q8—24no—
110C7×C22⋊Q8—24no—
111C7×C22⋊Q8D412yes—
112C7×C22⋊Q8D412yes—
113C4×C7×Q8—21no—
114C4×C7×Q8—21no—
115C4×C7×Q8C2312yes—
116C4×C7×Q8C2312yes—
117C4×C7×D4—22no—
118C4×C7×D4—22no—
119C4×C7×D4—21no—
120C4×C7×D4—21no—
121C4×C7×D4C2312yes—
122C4×C7×D4C2312yes—
123C4×C7×D4C2314yes—
124C4×C7×D4C2314yes—
125C7×#117C2312yes—
126C7×#117C2312yes—
127C2×C7×C4⋊C4—24no—
128C2×C7×C4⋊C4—22no—
129C2×C7×C4⋊C4C2311yescharacteristic
130C2×C7×C22⋊C4—21no—
131C2×C7×C22⋊C4—24no—
132C2×C42×C7C2311yescharacteristic
133#6510—22no—
134#6509—24no—
135Q8×Dic7—22no—
136C2×#1142—24no—
137C2×#1142C2314yes—
138C2×#1142C2314yes—
139#6495—28no—
140C2×#1141C2314yes—
141#6493—21no—
142#6493—21no—
143C2×C4⋊Dic7C2311yescharacteristic
144C2×Dic7⋊C4—21no—
145C2×C4×Dic7—21no—
146C2×#1136C2312yes—
147C22×C7⋊C8C2311yescharacteristic
148C22×C7⋊C8C2311yescharacteristic
149#6461—24no—
150#6461—24no—
151#6460—22no—
152#6460—22no—
153#6457—24no—
154#6456—22no—
155#6455—22no—
156#6455—24no—
157D7×C4⋊C4—22no—
158#6453—24no—
159#6453—22no—
160#6449—24no—
161(C22⋊D7)⋊C4—24no—
162#6438C2312yes—
163#6438C2314yes—
164#6437C2311yescharacteristic
165C4×D28—21no—
166C4×D28—21no—
167C4×D28C2314yes—
168#6432C2314yes—
169#6432C2311yescharacteristic
170C4×Dic14—21no—
171C4×Dic14—21no—
172C4×Dic14C2312yes—
173C4×Dic14C2314yes—
174C4×Dic14C2312yes—
175#6406C2314yes—
176#6384C2312yes—
177#6384C2314yes—
178#6384C2312yes—
179#6384C2314yes—
180#6384C2312yes—
181#6384C2312yes—
182#6384C2314yes—
183#6384C2314yes—
184#6383C2312yes—
185#6383C2314yes—
186#6383C2312yes—
187#6383C2312yes—
188#6383C2312yes—
189#6382C2314yes—
190#6381C2314yes—
191#6381C2314yes—
192C4⋊(C7⋊C8)C2314yes—
193C4⋊(C7⋊C8)C2312yes—
194C4⋊(C7⋊C8)C2314yes—
195C4⋊(C7⋊C8)C2312yes—
196#6377C2312yes—
197#6377C2314yes—
198#6377C2312yes—
199C4×C7⋊C8C2314yes—
200#3507—71no—
201#3501D711yescharacteristic, complemented
202#3376—74no—
203#3372—74no—
204#3370—74no—
205#3367—74no—
206#3137—72no—
207#3135—71no—
208#3083—72no—
209#3078—71no—
210#3042—72no—
211#3036—71no—
212#2961—71no—
213#2946—72no—
214C2×#440—71no—
215C24×C7—21no—
216C2×C7×Q8—21no—
217C2×C7×Q8—21no—
218C2×C7×Q8—24no—
219C2×C7×Q8—84no—
220C2×C7×Q8C2×D412yes—
221C2×C7×Q8C2×D412yes—
222C2×C7×D4—21no—
223C2×C7×D4—22no—
224C2×C7×D4#4114yes—
225C2×C7×D4C2412yes—
226C22×C4×C7—21no—
227C22×C4×C7—22no—
228C22×C4×C7—24no—
229C22×C4×C7—24no—
230C22×C4×C7—22no—
231C22×C4×C7—82no—
232C22×C4×C7C2×D411yescharacteristic
233C22×C4×C7C2×D411yescharacteristic
234C22×C4×C7C2411yescharacteristic
235C2×C22⋊D7—22no—
236C22×Dic7—21no—
237C22×Dic7—21no—
238#1157—24no—
239#1157—24no—
240C2×D28—21no—
241C2×D28—21no—
242C2×D28C2412yes—
243C2×C4×D7—22no—
244C2×C4×D7—24no—
245C2×Dic14—22no—
246C2×Dic14—22no—
247C2×Dic14—21no—
248C2×Dic14C2412yes—
249C2×Dic14C2412yes—
250C7×C4⋊C4—22no—
251C7×C4⋊C4—21no—
252C7×C4⋊C4—24no—
253C7×C4⋊C4—24no—
254C7×C4⋊C4—24no—
255C7×C4⋊C4—21no—
256C7×C4⋊C4—22no—
257C7×C4⋊C4—21no—
258C7×C4⋊C4C2×D412yes—
259C7×C4⋊C4C2×D414yes—
260C7×C4⋊C4C2×D412yes—
261C7×C4⋊C4C2×D412yes—
262C7×C4⋊C4C2×D414yes—
263C7×C4⋊C4C2×D412yes—
264C7×C4⋊C4C2412yes—
265C7×C4⋊C4C2412yes—
266C7×C4⋊C4C2412yes—
267C7×C22⋊C4—22no—
268C7×C22⋊C4—24no—
269C7×C22⋊C4—24no—
270C7×C22⋊C4—22no—
271C7×C22⋊C4—22no—
272C7×C22⋊C4C2×D414yes—
273C42×C7—22no—
274C42×C7C2×D411yescharacteristic
275C42×C7C2×D411yescharacteristic
276C42×C7C2411yescharacteristic
277C42×C7C2411yescharacteristic
278C42×C7C2414yes—
279#1142—28no—
280#1142—28no—
281#1141—28no—
282(C2×D7)⋊C4—22no—
283(C2×D7)⋊C4—22no—
284(C2×D7)⋊C4—24no—
285(C2×D7)⋊C4—24no—
286(C2×D7)⋊C4—24no—
287C4⋊Dic7—21no—
288C4⋊Dic7—21no—
289C4⋊Dic7—21no—
290C4⋊Dic7—24no—
291C4⋊Dic7—24no—
292C4⋊Dic7C2412yes—
293Dic7⋊C4—22no—
294Dic7⋊C4—22no—
295Dic7⋊C4—24no—
296C4×Dic7—22no—
297C4×Dic7—22no—
298C4×Dic7—24no—
299#1136—24no—
300C2×C7⋊C8—22no—
301C2×C7⋊C8—22no—
302C2×C7⋊C8C2412yes—
303C2×C7⋊C8C2412yes—
304C2×C7⋊C8C2414yes—
305C2×AGL(1,ℤ/8)—72no—
306C22×SD16—71no—
307#559—72no—
308#557—72no—
309#556—74no—
310#556—141no—
311#554—21no—
312#554—22no—
313#554—141no—
314#554C2×D714yes—
315#554C2×D712yes—
316#552—142no—
317D4×Q8—21no—
318D4×Q8C2×D712yes—
319#544C2×D712yes—
320#543—22no—
321#539—142no—
322#536—72no—
323#533C2×D711yescharacteristic
324#533C2×D711yescharacteristic
325#532—71no—
326#529—142no—
327C2×C22⋊Q8—22no—
328#520—72no—
329#518C2×D712yes—
330C2×C4×Q8—71no—
331C2×C4×D4C2×D711yescharacteristic
332#491—72no—
333#491—74no—
334#490—72no—
335#489—72no—
336#489—74no—
337#489—72no—
338#488—74no—
339#487—74no—
340#479—74no—
341#479—74no—
342#478—74no—
343#477—72no—
344#477—74no—
345#475—72no—
346#474—74no—
347#463—74no—
348#463—74no—
349#463—74no—
350#461—74no—
351#461—72no—
352#461—74no—
353#459—72no—
354#446—74no—
355#446—74no—
356#442—74no—
357#440—74no—
358#440—74no—
359#440—74no—
360C4×SD16—74no—
361C4×D8—74no—
362#428—72no—
363C2×#107—71no—
364#424—72no—
365#423—71no—
366#419—72no—
367#417—72no—
368#416—72no—
369#416—72no—
370C2×#103—71no—
371C2×#102—71no—
372#405—72no—
373C2×#97—71no—
374C23×C7—22no—
375C23×C7—24no—
376C23×C7—81no—
377C23×C7—81no—
378C23×C7C22×D411yescharacteristic
379C22×D7—22no—
380C7×Q8—42no—
381C7×Q8—42no—
382C7×Q8—42no—
383C7×Q8—81no—
384C7×Q8—84no—
385C7×D4—24no—
386C7×D4—22no—
387C7×D4C2×#4114yes—
388C2×C4×C7—22no—
389C2×C4×C7—22no—
390C2×C4×C7—22no—
391C2×C4×C7—41no—
392C2×C4×C7—41no—
393C2×C4×C7—44no—
394C2×C4×C7—84no—
395C2×C4×C7—82no—
396C2×C4×C7—84no—
397C2×C4×C7—81no—
398C2×C4×C7C22×D411yescharacteristic
399C2×C4×C7C22×D411yescharacteristic
400C2×C4×C7C22×D414yes—
401C2×C4×C7C22×D411yescharacteristic
402C2×C4×C7C22×D411yescharacteristic
403C2×C4×C7C22×D414yes—
404C2×C4×C7C22×D411yescharacteristic
405C2×C4×C7C2×#4112yes—
406C2×C4×C72−1+412yes—
407C2×C4×C7C2511yescharacteristic
408C22⋊D7—44no—
409C2×Dic7—22no—
410C2×Dic7—22no—
411C2×Dic7—22no—
412C2×Dic7—42no—
413C2×Dic7—81no—
414D28—22no—
415D28—22no—
416D28—42no—
417D28—81no—
418C4×D7—44no—
419C4×D7—84no—
420Dic14—22no—
421Dic14—22no—
422Dic14—22no—
423Dic14—22no—
424Dic14—42no—
425C7⋊C8—22no—
426C7⋊C8—24no—
427C7⋊C8—22no—
428C2×#41—72no—
429C22×Q8—22no—
430C22×Q8—71no—
431C22×D4C22×D711yescharacteristic
432C23×C4—21no—
433AGL(1,ℤ/8)—148no—
434C2×SD16—74no—
435C2×SD16—74no—
436C2×SD16—144no—
437C2×D8—74no—
438C2×M16—72no—
439C22×C8—71no—
440C22×C8—71no—
441C4⋊Q8—22no—
442C4⋊Q8—71no—
443C4⋊Q8—74no—
444C4⋊Q8C22⋊D711yescharacteristic
445C4⋊Q8C22⋊D711yescharacteristic
446C4⋊Q8C22×D711yescharacteristic
447C4⋊Q8C22×D711yescharacteristic
448C4⋊Q8C22×D714yes—
449#127—71no—
450#126—144no—
451#126—144no—
452#125—22no—
453#125—142no—
454#125—144no—
455#125C22⋊D712yes—
456#125C22×D712yes—
457#125C22×D714yes—
458#124—72no—
459#124—74no—
460#124—142no—
461#123—144no—
462#123—144no—
463C22⋊Q8—22no—
464C22⋊Q8—24no—
465C22⋊Q8—21no—
466C22⋊Q8—21no—
467C22⋊Q8—22no—
468C22⋊Q8—24no—
469C22⋊Q8—24no—
470C22⋊Q8—24no—
471C22⋊Q8—24no—
472C22⋊Q8—24no—
473C22⋊Q8—144no—
474C22⋊Q8—142no—
475C22⋊Q8—142no—
476C22⋊Q8C22⋊D712yes—
477C22⋊Q8C22⋊D712yes—
478#121—141no—
479#121—141no—
480C4×Q8—21no—
481C4×Q8—21no—
482C4×Q8—72no—
483C4×Q8—72no—
484C4×Q8—74no—
485C4×Q8—142no—
486C4×Q8—141no—
487C4×Q8—141no—
488C4×Q8C22×D712yes—
489C4×Q8C22×D712yes—
490C4×D4—22no—
491C4×D4—22no—
492C4×D4—21no—
493C4×D4—21no—
494C4×D4—74no—
495C4×D4—142no—
496C4×D4—144no—
497C4×D4—141no—
498C4×D4—141no—
499C4×D4C22×D712yes—
500C4×D4C22×D712yes—
501C4×D4C22×D714yes—
502C4×D4C22×D714yes—
503#117—142no—
504#117—144no—
505#117C22×D712yes—
506#117C22×D712yes—
507C2×C4⋊C4—24no—
508C2×C4⋊C4—22no—
509C2×C4⋊C4—71no—
510C2×C4⋊C4—141no—
511C2×C4⋊C4—142no—
512C2×C4⋊C4C22×D711yescharacteristic
513C2×C22⋊C4—21no—
514C2×C22⋊C4—24no—
515C2×C42—141no—
516C2×C42C22×D711yescharacteristic
517#107—74no—
518#107—74no—
519#106—74no—
520C4⋊C8—72no—
521C4⋊C8—72no—
522C4⋊C8—74no—
523C4⋊C8—74no—
524#103—74no—
525#103—72no—
526#103—72no—
527#103—72no—
528#103—72no—
529#103—74no—
530#103—74no—
531#103—74no—
532#102—74no—
533#102—72no—
534#102—72no—
535#102—72no—
536#102—72no—
537#102—74no—
538#97—72no—
539#97—72no—
540#97—74no—
541C4×C8—74no—
542C22×C7—21no—
543C22×C7—21no—
544C22×C7—24no—
545C22×C7—42no—
546C22×C7—42no—
547C22×C7—84no—
548C22×C7#54812yes—
549C22×C7C23×D411yescharacteristic
550C2×D7—42no—
551C2×D7—42no—
552C2×D7—42no—
553C4×C7—24no—
554C4×C7—21no—
555C4×C7—21no—
556C4×C7—21no—
557C4×C7—21no—
558C4×C7—24no—
559C4×C7—42no—
560C4×C7—42no—
561C4×C7—42no—
562C4×C7#54812yes—
563C4×C7C22×#4111yescharacteristic
564C4×C7C2×2−1+411yescharacteristic
565Dic7—42no—
566Dic7—42no—
567Dic7—42no—
568C24—21no—
569#41—144no—
570#41—144no—
571C2×Q8—21no—
572C2×Q8—21no—
573C2×Q8—24no—
574C2×Q8—72no—
575C2×Q8—72no—
576C2×Q8—84no—
577C2×Q8—141no—
578C2×Q8—142no—
579C2×Q8—142no—
580C2×Q8C2×C22⋊D712yes—
581C2×Q8C2×C22⋊D712yes—
582C2×D4—22no—
583C2×D4—21no—
584C2×D4—72no—
585C2×D4—142no—
586C2×D4—141no—
587C2×D4—141no—
588C2×D4#116114yes—
589C2×D4C23×D712yes—
590C22×C4—21no—
591C22×C4—22no—
592C22×C4—24no—
593C22×C4—24no—
594C22×C4—22no—
595C22×C4—82no—
596C22×C4—141no—
597C22×C4—141no—
598C22×C4—142no—
599C22×C4—144no—
600C22×C4C2×C22⋊D711yescharacteristic
601C22×C4C2×C22⋊D711yescharacteristic
602C22×C4C23×D711yescharacteristic
603SD16—148no—
604SD16—148no—
605D8—148no—
606M16—144no—
607C2×C8—72no—
608C2×C8—74no—
609C2×C8—72no—
610C2×C8—142no—
611C2×C8—142no—
612C4⋊C4—22no—
613C4⋊C4—21no—
614C4⋊C4—24no—
615C4⋊C4—24no—
616C4⋊C4—24no—
617C4⋊C4—21no—
618C4⋊C4—22no—
619C4⋊C4—21no—
620C4⋊C4—72no—
621C4⋊C4—144no—
622C4⋊C4—142no—
623C4⋊C4—142no—
624C4⋊C4—141no—
625C4⋊C4—144no—
626C4⋊C4—141no—
627C4⋊C4—141no—
628C4⋊C4—144no—
629C4⋊C4C2×C22⋊D714yes—
630C4⋊C4C2×C22⋊D712yes—
631C4⋊C4C2×C22⋊D712yes—
632C4⋊C4C2×C22⋊D712yes—
633C4⋊C4C2×C22⋊D714yes—
634C4⋊C4C2×C22⋊D712yes—
635C4⋊C4C23×D712yes—
636C4⋊C4C23×D712yes—
637C4⋊C4C23×D712yes—
638C22⋊C4—22no—
639C22⋊C4—24no—
640C22⋊C4—24no—
641C22⋊C4—22no—
642C22⋊C4—22no—
643C22⋊C4—142no—
644C22⋊C4—144no—
645C22⋊C4—144no—
646C22⋊C4—142no—
647C22⋊C4—144no—
648C22⋊C4C2×C22⋊D714yes—
649C42—22no—
650C42—142no—
651C42—142no—
652C42—144no—
653C42C2×C22⋊D711yescharacteristic
654C42C2×C22⋊D711yescharacteristic
655C42C23×D714yes—
656C42C23×D711yescharacteristic
657C42C23×D711yescharacteristic
658C2×C7—22no—
659C2×C7—44no—
660C2×C7C2×#54811yescharacteristic
661C2×C7#358511yescharacteristic
662C2×C7#358611yescharacteristic
663D7—82no—
664C23—22no—
665C23—24no—
666C23—81no—
667C23—81no—
668C23—142no—
669C23C22×C22⋊D711yescharacteristic
670Q8—42no—
671Q8—42no—
672Q8—42no—
673Q8—81no—
674Q8—84no—
675Q8—142no—
676Q8—142no—
677Q8—142no—
678Q8—142no—
679Q8—282no—
680D4—24no—
681D4—22no—
682D4—142no—
683D4—142no—
684D4—282no—
685D4—284no—
686D4—561no—
687D4C2×#116114yes—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—44no—
694C2×C4—84no—
695C2×C4—82no—
696C2×C4—84no—
697C2×C4—81no—
698C2×C4—142no—
699C2×C4—142no—
700C2×C4—142no—
701C2×C4—282no—
702C2×C4—284no—
703C2×C4—564no—
704C2×C4—561no—
705C2×C4C2×#116112yes—
706C2×C4#655112yes—
707C2×C4C22×C22⋊D711yescharacteristic
708C2×C4C22×C22⋊D711yescharacteristic
709C2×C4C22×C22⋊D714yes—
710C2×C4C22×C22⋊D711yescharacteristic
711C2×C4C22×C22⋊D711yescharacteristic
712C2×C4C22×C22⋊D714yes—
713C2×C4C22×C22⋊D711yescharacteristic
714C2×C4C24×D711yescharacteristic
715C8—142no—
716C8—144no—
717C8—142no—
718C7#6133311yescharacteristic, complemented, Sylow
719C22—21no—
720C22—21no—
721C22—24no—
722C22—42no—
723C22—42no—
724C22—84no—
725C22—282no—
726C22—282no—
727C22—282no—
728C22#9050812yes—
729C22C23×C22⋊D711yescharacteristic
730C4—21no—
731C4—21no—
732C4—24no—
733C4—21no—
734C4—21no—
735C4—24no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—282no—
740C4—282no—
741C4—282no—
742C4#9050812yes—
743C4C22×#116111yescharacteristic
744C4C2×#655111yescharacteristic
745C2—22no—
746C2—44no—
747C2—562no—
748C2C2×#9050811yescharacteristic
749C2#1174434511yescharacteristic
750C2#1174436711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3501C2
socleC22×C7C23×D4
prime radical#11739752C2
hypercenter#3501D7
hypocenterC7#61333
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ #533 ◁ #3501

Complements

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

NH ≅ G/Ntype
1. C7×#3501C2semidirect
2. #11743328C2semidirect
3. #11741090C2semidirect
4. #11741089C2semidirect
5. #11741084C2semidirect
6. #11741008C2semidirect
7. #11740920C2semidirect
8. #11740916C2semidirect
9. #11740812C2semidirect
10. #11740780C2semidirect
11. #11740774C2semidirect
12. #11739989C2semidirect
13. #11739982C2semidirect
15. C2×#89790C2semidirect
36. #90276C22semidirect
37. #90275C22semidirect
38. #90261C22semidirect
44. #89866C22semidirect
45. #89865C22semidirect
46. #89863C22semidirect
47. #89863C22semidirect
48. #89861C22semidirect
49. #89861C22semidirect
50. #89861C22semidirect
51. #89859C22semidirect
52. #89841C22semidirect
53. #89841C22semidirect
54. #89840C22semidirect
55. #89839C22semidirect
56. #89838C22semidirect
57. #89835C22semidirect
58. #89835C22semidirect
59. #89796C22semidirect
60. #89796C22semidirect
201. #3501D7semidirect
718. C7#61333semidirect

Maximal subgroups

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

subgroupindex
C7×#35012
#117433282
#117410902
#117410892
#117410842
#117410082
#117409202
#117409162
#117408122
#117407802
#117407742
#117399892
#117399822
#117397522
C2×#897902
#613337