Finite Group Databasebeta

← #13360255

Subgroups — #13360255

Order 1792.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11739970C211yesmaximal, characteristic
2#11739956C211yesmaximal, characteristic, complemented
3#11736487C211yesmaximal, characteristic, complemented
4C2×#89595C211yesmaximal, characteristic, complemented
5C2×#89596C211yesmaximal, characteristic, complemented
6C7×#1806C211yesmaximal, characteristic, complemented
7#11728274C211yesmaximal, characteristic, complemented
8#11728131C211yesmaximal, characteristic, complemented
9#11728131C211yesmaximal, characteristic, complemented
10#11727246C211yesmaximal, characteristic, complemented
11#11727232C211yesmaximal, characteristic, complemented
12#11726498C211yesmaximal, characteristic, complemented
13#11726498C211yesmaximal, characteristic, complemented
14#11726494C211yesmaximal, characteristic, complemented
15#11726493C211yesmaximal, characteristic, complemented
16C4×C7×#41C2211yescharacteristic
17C2×#6513C2211yescharacteristic
18C2×#6513C2211yescharacteristic
19C2×#6511C2211yescharacteristic
20C2×#6511C2211yescharacteristic
21C2×#6470C2211yescharacteristic
22C2×#6470C2211yescharacteristic
23#90168C2211yescharacteristic
24C7×#423C2211yescharacteristic
25C2×C7×#104C2211yescharacteristic
26C2×C7×#104C2211yescharacteristic
27C4×C7×C4⋊C4C2211yescharacteristic
28#89901C2211yescharacteristic
29#89901C2211yescharacteristic
30C2×#6396C2211yescharacteristic
31C2×#6396C2211yescharacteristic
32#89803C411yescharacteristic, complemented
33#89800C411yescharacteristic, complemented
34#89800C411yescharacteristic, complemented
35#89799C411yescharacteristic, complemented
36#89791C411yescharacteristic, complemented
37#89788C411yescharacteristic, complemented
38#89788C411yescharacteristic, complemented
39#89787C411yescharacteristic, complemented
40#89774C2211yescharacteristic
41#89774C2211yescharacteristic
42#89769—21no—
43#89769—21no—
44#89769C2211yescharacteristic
45#89769C2211yescharacteristic
46C2×#6379C2211yescharacteristic
47C2×#6379C2211yescharacteristic
48C2×#6379C2211yescharacteristic
49C2×#6379C2211yescharacteristic
50C2×C4⋊(C7⋊C8)C2211yescharacteristic
51C4×#1136—21no—
52C4×#1136C2211yescharacteristic
53C2×#6377—21no—
54C2×#6377C2211yescharacteristic
55C2×#6377C2211yescharacteristic
56C2×C4×C7⋊C8C2211yescharacteristic
57#89608—21no—
58#89608—21no—
59#89608—21no—
60#89608—21no—
61#89596—24no—
62#89595—24no—
63C7×#339C2211yescharacteristic
64C7×#339C2211yescharacteristic
65#89353C2211yescharacteristic
66#89353C2211yescharacteristic
67#89319C2211yescharacteristic
68#89319C2211yescharacteristic
69#21519—71nomaximal, Sylow
70C2×C7×#41C2311yescharacteristic
71C2×#1157C2311yescharacteristic
72C2×#1157C2311yescharacteristic
73C2×C7×M16C2311yescharacteristic
74C2×C7×M16C2311yescharacteristic
75C4×C7×Q8C2×C411yescharacteristic
76C4×C7×Q8C2×C411yescharacteristic
77C4×C7×D4—21no—
78C4×C7×D4—21no—
79C4×C7×D4C2×C411yescharacteristic
80C4×C7×D4C2×C411yescharacteristic
81C7×#117—21no—
82C7×#117C2311yescharacteristic
83C2×C7×C4⋊C4—21no—
84C2×C42×C7—21no—
85C2×C42×C7C2311yescharacteristic
86C2×C42×C7C2311yescharacteristic
87C2×C42×C7C2311yescharacteristic
88#6513—22no—
89#6513—22no—
90#6513—22no—
91#6513—22no—
92#6511—22no—
93#6511—22no—
94#6511—22no—
95#6511D414yescomplemented
96C2×#1144C2×C411yescharacteristic
97C2×#1144C2×C411yescharacteristic
98C2×#1143C2×C411yescharacteristic
99C2×#1143C2×C411yescharacteristic
100C2×#1142C2×C411yescharacteristic
101C2×#1142C2×C411yescharacteristic
102C2×#1141C2×C411yescharacteristic
103C2×#1141C2×C411yescharacteristic
104#6493—21no—
105#6493—21no—
106C2×#1136—21no—
107C2×#1136—21no—
108C2×#1136C2311yescharacteristic
109C2×#1136C2311yescharacteristic
110C22×C7⋊C8—21no—
111C22×C7⋊C8—21no—
112C22×C7⋊C8C2311yescharacteristic
113C22×C7⋊C8C2311yescharacteristic
114C22×C7⋊C8C2311yescharacteristic
115C22×C7⋊C8C2311yescharacteristic
116#6470—22no—
117#6470—22no—
118#6470—22no—
119#6470—22no—
120C2×#1131—21no—
121C2×#1131—21no—
122C2×C8×D7—21no—
123C2×C8×D7—21no—
124#6438C2×C411yescharacteristic
125#6438C2×C411yescharacteristic
126#6437C2×C411yescharacteristic
127C4×D28—21no—
128C4×D28—21no—
129#6432C2×C411yescharacteristic
130C7×C4⋊C8—21no—
131C7×C4⋊C8—21no—
132C7×#104—22no—
133C7×#104—22no—
134C7×#95—21no—
135#6396—22no—
136#6396—22no—
137(C2×D7)⋊C8—21no—
138(C2×D7)⋊C8—21no—
139(C2×D7)⋊C8—21no—
140(C2×D7)⋊C8—21no—
141#6384C2×C411yescharacteristic
142#6384C2×C411yescharacteristic
143#6384C2×C411yescharacteristic
144#6384C2×C411yescharacteristic
145#6383C2×C411yescharacteristic
146#6383C2×C411yescharacteristic
147#6383C2×C411yescharacteristic
148#6383C2×C411yescharacteristic
149#6379—22no—
150#6379—22no—
151#6379—22no—
152#6379—22no—
153C4⋊(C7⋊C8)C2×C411yescharacteristic
154C4⋊(C7⋊C8)C2×C411yescharacteristic
155C4⋊(C7⋊C8)C2×C411yescharacteristic
156C4⋊(C7⋊C8)C2×C411yescharacteristic
157#6377—21no—
158#6377—21no—
159#6377—21no—
160#6377—22no—
161#6377D411yescharacteristic
162#6377D411yescharacteristic
163#6377D411yescharacteristic
164#6377D411yescharacteristic
165C4×C7⋊C8—21no—
166C4×C7⋊C8—22no—
167C4×C7⋊C8—21no—
168C4×C7⋊C8—21no—
169#3035—71no—
170C2×#444—71no—
171C2×#443—71no—
172#2932—71no—
173#2875—71no—
174#1980—71no—
175#1950—71no—
176#1929—71no—
177#1929—71no—
178#1876—71no—
179#1876—71no—
180#1806D711yescharacteristic, complemented
181#1771—71no—
182#1765—71no—
183#1764—71no—
184C7×#41—21no—
185C7×#41—21no—
186C7×#41C2×D412yes—
187C7×#41#4112yes—
188C2×C7×Q8C22×C411yescharacteristic
189C2×C7×D4—21no—
190C2×C7×D4C22×C411yescharacteristic
191C22×C4×C7—21no—
192C22×C4×C7—21no—
193C22×C4×C7—21no—
194C22×C4×C7—21no—
195C22×C4×C7—21no—
196C22×C4×C7#4111yescharacteristic
197C22×C4×C7#4111yescharacteristic
198C22×C4×C7C2411yescharacteristic
199C2×C22⋊D7—21no—
200C2×C22⋊D7—21no—
201#1157—21no—
202#1157—21no—
203#1157—21no—
204#1157—21no—
205#1157—21no—
206#1157—21no—
207#1157—21no—
208#1157—21no—
209C2×D28—21no—
210C2×D28—21no—
211C2×D28C22×C411yescharacteristic
212C2×D28C22×C411yescharacteristic
213C2×C4×D7—21no—
214C2×C4×D7—21no—
215C2×Dic14C22×C411yescharacteristic
216C2×Dic14C22×C411yescharacteristic
217C7×M16—21no—
218C7×M16—21no—
219C7×M16—21no—
220C7×M16—21no—
221C2×C7×C8—21no—
222C2×C7×C8—21no—
223C7×C4⋊C4—21no—
224C7×C4⋊C4—21no—
225C7×C4⋊C4—42no—
226C7×C4⋊C4C22×C411yescharacteristic
227C7×C4⋊C4C22×C411yescharacteristic
228C7×C22⋊C4—21no—
229C7×C22⋊C4—21no—
230C7×C22⋊C4—21no—
231C42×C7—21no—
232C42×C7—21no—
233C42×C7—21no—
234C42×C7—21no—
235C42×C7—21no—
236C42×C7—21no—
237C42×C7—21no—
238C42×C7C22×C411yescharacteristic
239C42×C7C22×C411yescharacteristic
240C42×C7C2×D411yescharacteristic
241C42×C7C2×D411yescharacteristic
242#1144—22no—
243#1144—22no—
244#1143—22no—
245#1143—22no—
246#1142—22no—
247#1142—22no—
248#1141—22no—
249#1141—22no—
250(C2×D7)⋊C4—21no—
251(C2×D7)⋊C4—21no—
252(C2×D7)⋊C4—21no—
253(C2×D7)⋊C4—21no—
254C4⋊Dic7—21no—
255C4⋊Dic7—21no—
256#1136—24no—
257#1136—21no—
258#1136—21no—
259#1136—24no—
260#1136C2×D412yes—
261#1136#4112yes—
262C2×C7⋊C8—24no—
263C2×C7⋊C8—21no—
264C2×C7⋊C8—21no—
265C2×C7⋊C8—21no—
266C2×C7⋊C8—21no—
267C2×C7⋊C8—21no—
268C2×C7⋊C8—21no—
269C2×C7⋊C8—21no—
270C2×C7⋊C8—21no—
271C2×C7⋊C8—24no—
272C2×C7⋊C8C22×C411yescharacteristic
273C2×C7⋊C8C22×C411yescharacteristic
274C2×C7⋊C8C22×C411yescharacteristic
275C2×C7⋊C8C22×C411yescharacteristic
276C2×C7⋊C8C2×D411yescharacteristic
277C2×C7⋊C8C2×D411yescharacteristic
278C2×C7⋊C8C2×D411yescharacteristic
279C2×C7⋊C8C2×D411yescharacteristic
280C2×C7⋊C8C2×D412yes—
281C2×C7⋊C8#4112yes—
282#1131—42no—
283#1131—42no—
284C8×D7—42no—
285C8×D7—42no—
286C2×#135—71no—
287C2×#135—71no—
288C2×#131—71no—
289C2×#131—71no—
290C2×#131—71no—
291C2×#131—71no—
292#532—71no—
293C4×#41C2×D711yescharacteristic
294#464—71no—
295#464—71no—
296#463—71no—
297#463—71no—
298#462—71no—
299#461—71no—
300#460—71no—
301#459—71no—
302#444—144no—
303#443—144no—
304#435—141no—
305#435—141no—
306#435—141no—
307#435—141no—
308C2×#108—71no—
309C2×#108—71no—
310#423C2×D711yescharacteristic
311C2×C4⋊C8—71no—
312C2×#104—71no—
313C2×#104—71no—
314C2×#104—71no—
315C2×#104—71no—
316C2×#104C2×D711yescharacteristic
317C2×#104C2×D711yescharacteristic
318#416—71no—
319#416—71no—
320#408—71no—
321#408—71no—
322#405—71no—
323#405—71no—
324#405—141no—
325#405—141no—
326C4×M16—71no—
327C4×M16—141no—
328C2×#97—71no—
329C2×#97—71no—
330C2×#97—141no—
331C2×C4×C8—71no—
332C4×C4⋊C4C2×D711yescharacteristic
333#341—71no—
334#341—71no—
335#339C2×D711yescharacteristic
336#339C2×D711yescharacteristic
337#336—71no—
338#336—71no—
339C23×C7—21no—
340C23×C7C2×#4111yescharacteristic
341C22×D7—21no—
342C22×D7—21no—
343C7×Q8—21no—
344C7×Q8C4×D412yes—
345C7×D4—22no—
346C7×D4—22no—
347C7×D4—21no—
348C7×D4C4×D412yes—
349C2×C4×C7—21no—
350C2×C4×C7—22no—
351C2×C4×C7—22no—
352C2×C4×C7—22no—
353C2×C4×C7—21no—
354C2×C4×C7—21no—
355C2×C4×C7—41no—
356C2×C4×C7—41no—
357C2×C4×C7—41no—
358C2×C4×C7—41no—
359C2×C4×C7—41no—
360C2×C4×C7—41no—
361C2×C4×C7—41no—
362C2×C4×C7—81no—
363C2×C4×C7—81no—
364C2×C4×C7C4×D411yescharacteristic
365C2×C4×C7C4×D411yescharacteristic
366C2×C4×C7C4×D411yescharacteristic
367C2×C4×C7C4×D411yescharacteristic
368C2×C4×C7C23×C411yescharacteristic
369C2×C4×C7C22×D411yescharacteristic
370C2×C4×C7C22×D411yescharacteristic
371C2×C4×C7C2×#4111yescharacteristic
372C2×C4×C7C2×#4111yescharacteristic
373C2×C4×C7C2×#4111yescharacteristic
374C22⋊D7—41no—
375C22⋊D7—41no—
376C22⋊D7—41no—
377C22⋊D7—41no—
378C2×Dic7—21no—
379C2×Dic7—21no—
380D28—21no—
381D28—21no—
382D28—21no—
383D28—21no—
384D28—81no—
385D28—81no—
386C4×D7—41no—
387C4×D7—41no—
388C4×D7—41no—
389C4×D7—41no—
390Dic14—21no—
391Dic14—21no—
392Dic14—21no—
393Dic14—21no—
394C7×C8—41no—
395C7×C8—41no—
396C7⋊C8—21no—
397C7⋊C8—21no—
398C7⋊C8—21no—
399C7⋊C8—21no—
400C7⋊C8—22no—
401C7⋊C8—21no—
402C7⋊C8—22no—
403C7⋊C8—21no—
404C7⋊C8#12112yes—
405C7⋊C8#12112yes—
406C2×#41—71no—
407C2×#41—71no—
408C2×#41C22×D711yescharacteristic
409#135—142no—
410#135—142no—
411#135—142no—
412#135—142no—
413C2×Q16—71no—
414C2×Q16—71no—
415C2×SD16—71no—
416C2×SD16—71no—
417C2×SD16—71no—
418C2×SD16—71no—
419C2×D8—71no—
420C2×D8—71no—
421#131—74no—
422#131—142no—
423#131—142no—
424#131—142no—
425#131—142no—
426#131—142no—
427#131—142no—
428#131—142no—
429C2×M16—71no—
430C2×M16—71no—
431C2×M16—141no—
432C2×M16—141no—
433C2×M16—141no—
434C2×M16—141no—
435C2×M16C22×D711yescharacteristic
436C2×M16C22×D711yescharacteristic
437C22×C8—71no—
438C22×C8—71no—
439C22×C8—71no—
440C22×C8—71no—
441C22×C8—141no—
442C22×C8—141no—
443C22×C8—141no—
444C22×C8—141no—
445C4⋊Q8—71no—
446#127—71no—
447#124—71no—
448#124—71no—
449#121—141no—
450#121—141no—
451C4×Q8C4×D711yescharacteristic
452C4×Q8C4×D711yescharacteristic
453C4×D4—21no—
454C4×D4—21no—
455C4×D4—141no—
456C4×D4—141no—
457C4×D4C4×D711yescharacteristic
458C4×D4C4×D711yescharacteristic
459#117—21no—
460#117C22×D711yescharacteristic
461C2×C4⋊C4—21no—
462C2×C42—21no—
463C2×C42C22×D711yescharacteristic
464C2×C42C22×D711yescharacteristic
465C2×C42C22×D711yescharacteristic
466#108—142no—
467#108—142no—
468C4⋊C8—21no—
469C4⋊C8—21no—
470C4⋊C8—71no—
471C4⋊C8—71no—
472C4⋊C8—71no—
473C4⋊C8—71no—
474#104—22no—
475#104—22no—
476#104—142no—
477#104—142no—
478#104—142no—
479#104—142no—
480#103—71no—
481#103—71no—
482#103—71no—
483#103—71no—
484#102—71no—
485#102—71no—
486#102—71no—
487#102—71no—
488C22⋊C8—141no—
489C22⋊C8—141no—
490C22⋊C8—141no—
491C22⋊C8—141no—
492#97—71no—
493#97—71no—
494#97—71no—
495#97—71no—
496#97—142no—
497#97—141no—
498#97—141no—
499#97—141no—
500C4×C8—142no—
501C4×C8—141no—
502C4×C8—141no—
503C4×C8—141no—
504#95—21no—
505C22×C7—21no—
506C22×C7—21no—
507C22×C7—22no—
508C22×C7—41no—
509C22×C7—41no—
510C22×C7C2×C4×D411yescharacteristic
511C22×C7#52911yescharacteristic
512C22×C7#53211yescharacteristic
513C2×D7—41no—
514C2×D7—41no—
515C2×D7—41no—
516C2×D7—41no—
517C2×D7—41no—
518C2×D7—41no—
519C4×C7—21no—
520C4×C7—21no—
521C4×C7—21no—
522C4×C7—21no—
523C4×C7—22no—
524C4×C7—42no—
525C4×C7—41no—
526C4×C7—41no—
527C4×C7—81no—
528C4×C7C2×C4×D411yescharacteristic
529C4×C7C4×#4111yescharacteristic
530C4×C7C2×#12111yescharacteristic
531C4×C7#52511yescharacteristic
532Dic7—41no—
533Dic7—41no—
534#41—21no—
535#41—21no—
536#41—141no—
537#41—141no—
538#41—141no—
539#41—141no—
540#41—141no—
541#41—141no—
542#41—141no—
543#41—141no—
544#41D4×D712yes—
545#41#116112yes—
546C2×Q8—71no—
547C2×Q8—71no—
548C2×Q8C2×C4×D711yescharacteristic
549C2×D4—21no—
550C2×D4—71no—
551C2×D4—71no—
552C2×D4—141no—
553C2×D4—141no—
554C2×D4—141no—
555C2×D4—141no—
556C2×D4C2×C4×D711yescharacteristic
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—141no—
563C22×C4—141no—
564C22×C4#115911yescharacteristic
565C22×C4#115911yescharacteristic
566C22×C4C23×D711yescharacteristic
567Q16—142no—
568Q16—142no—
569SD16—142no—
570SD16—142no—
571SD16—142no—
572SD16—142no—
573D8—142no—
574D8—142no—
575M16—21no—
576M16—21no—
577M16—21no—
578M16—21no—
579M16—72no—
580M16—72no—
581M16—144no—
582M16—144no—
583M16—141no—
584M16—141no—
585M16—282no—
586M16—282no—
587C2×C8—21no—
588C2×C8—21no—
589C2×C8—72no—
590C2×C8—71no—
591C2×C8—71no—
592C2×C8—72no—
593C2×C8—71no—
594C2×C8—71no—
595C2×C8—71no—
596C2×C8—71no—
597C2×C8—71no—
598C2×C8—71no—
599C2×C8—144no—
600C2×C8—144no—
601C2×C8—141no—
602C2×C8—141no—
603C2×C8—141no—
604C2×C8—141no—
605C2×C8—141no—
606C2×C8—141no—
607C2×C8—141no—
608C2×C8—141no—
609C2×C8—282no—
610C2×C8—282no—
611C4⋊C4—21no—
612C4⋊C4—21no—
613C4⋊C4—42no—
614C4⋊C4—141no—
615C4⋊C4—141no—
616C4⋊C4C2×C4×D711yescharacteristic
617C4⋊C4C2×C4×D711yescharacteristic
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—141no—
622C22⋊C4—141no—
623C22⋊C4—141no—
624C22⋊C4—141no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—21no—
629C42—21no—
630C42—21no—
631C42—21no—
632C42C2×C4×D711yescharacteristic
633C42C2×C4×D711yescharacteristic
634C42D4×D711yescharacteristic
635C42D4×D711yescharacteristic
636C2×C7—21no—
637C2×C7—21no—
638C2×C7—42no—
639C2×C7C4×#12111yescharacteristic
640C2×C7#295611yescharacteristic
641C2×C7#295711yescharacteristic
642D7—81no—
643D7—81no—
644C23—21no—
645C23—141no—
646C23—141no—
647C23C2×#115911yescharacteristic
648Q8—21no—
649Q8—141no—
650Q8—141no—
651Q8—141no—
652Q8—141no—
653Q8#645612yes—
654D4—22no—
655D4—22no—
656D4—21no—
657D4—141no—
658D4—141no—
659D4—141no—
660D4—141no—
661D4—281no—
662D4—281no—
663D4—281no—
664D4—281no—
665D4—561no—
666D4—561no—
667D4#645612yes—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—141no—
684C2×C4—141no—
685C2×C4—281no—
686C2×C4—281no—
687C2×C4—281no—
688C2×C4—281no—
689C2×C4(C22⋊D7)⋊C411yescharacteristic
690C2×C4(C22⋊D7)⋊C411yescharacteristic
691C2×C4(C22⋊D7)⋊C411yescharacteristic
692C2×C4(C22⋊D7)⋊C411yescharacteristic
693C2×C4C22×C4×D711yescharacteristic
694C2×C4C2×D4×D711yescharacteristic
695C2×C4C2×D4×D711yescharacteristic
696C2×C4C2×#116111yescharacteristic
697C2×C4D7×#4111yescharacteristic
698C2×C4D7×#4111yescharacteristic
699C8—41no—
700C8—41no—
701C8—72no—
702C8—72no—
703C8—141no—
704C8—141no—
705C8—141no—
706C8—141no—
707C8—142no—
708C8—141no—
709C8—141no—
710C8—142no—
711C7#2151911yescharacteristic, complemented, Sylow
712C22—21no—
713C22—21no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—281no—
718C22—281no—
719C22—281no—
720C22—281no—
721C22—281no—
722C22—281no—
723C22C2×(C22⋊D7)⋊C411yescharacteristic
724C22#9028711yescharacteristic
725C22#9031511yescharacteristic
726C4—21no—
727C4—21no—
728C4—22no—
729C4—21no—
730C4—21no—
731C4—42no—
732C4—41no—
733C4—41no—
734C4—81no—
735C4—281no—
736C4—281no—
737C4C2×#645611yescharacteristic
738C4#9021311yescharacteristic
739C4D7×#12111yescharacteristic
740C4#9031811yescharacteristic
741C2—21no—
742C2—21no—
743C2—42no—
744C2—561no—
745C2—561no—
746C2#1173131011yescharacteristic
747C2#1173642511yescharacteristic
748C2#1173643511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#1806C2
socleC22×C7C2×C4×D4
prime radical#11739970C2
cosocleC22×C4×C7C24
hypercenter#1806D7
hypocenterC7#21519
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
2. #11739956C2semidirect
3. #11736487C2semidirect
4. C2×#89595C2semidirect
5. C2×#89596C2semidirect
6. C7×#1806C2semidirect
7. #11728274C2semidirect
8. #11728131C2semidirect
9. #11728131C2semidirect
10. #11727246C2semidirect
11. #11727232C2semidirect
12. #11726498C2semidirect
13. #11726498C2semidirect
14. #11726494C2semidirect
15. #11726493C2semidirect
32. #89803C4semidirect
33. #89800C4semidirect
34. #89800C4semidirect
35. #89799C4semidirect
36. #89791C4semidirect
37. #89788C4semidirect
38. #89788C4semidirect
39. #89787C4semidirect
95. #6511D4semidirect
180. #1806D7semidirect
711. C7#21519semidirect

Maximal subgroups

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

subgroupindex
#117399702
#117399562
#117364872
C2×#895952
C2×#895962
C7×#18062
#117282742
#117281312
#117272462
#117272322
#117264982
#117264942
#117264932
#215197