Finite Group Databasebeta

← #14224582

Subgroups — #14224582

Order 1792.

2322 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#535C211yesmaximal, characteristic, complemented
2#11744336C211yesmaximal, characteristic, complemented
3#11741519C211yesmaximal, characteristic, complemented
4#11741483C212yesmaximal, complemented
5#11740837C214yesmaximal, complemented
6#11740832C214yesmaximal, complemented
7#11740831C218yesmaximal, complemented
8#11740069C212yesmaximal, complemented
9#11740066C214yesmaximal, complemented
10#11740061C212yesmaximal, complemented
11#11739661C212yesmaximal, complemented
12C22×C7×#41C2211yescharacteristic
13C23×C7×D4C2211yescharacteristic, complemented
14C22×#1157C2211yescharacteristic, complemented
15C7×#535—22no—
16C7×#535—22no—
17C7×#535C2214yes—
18C7×#535C2214yescomplemented
19C2×C7×#127—21no—
20C2×C7×#124—21no—
21C2×C7×#121C2212yes—
22C2×C7×#121C2212yescomplemented
23C2×C7×#120—21no—
24C2×C7×#120—21no—
25C2×C7×#117C2211yescharacteristic, complemented
26#90524C2214yescomplemented
27#90523—22no—
28#90521C2212yescomplemented
29#90519—22no—
30#90516C2212yescomplemented
31#90507—21no—
32#90496—21no—
33#90495—21no—
34#90495—21no—
35C2×#6495C2214yes—
36#90482C2212yes—
37#90482C2212yescomplemented
38C2×#6489C2211yescharacteristic, complemented
39C22×#1136C2212yescomplemented
40#90006C2214yescomplemented
41#90006C2214yescomplemented
42#89990C2218yescomplemented
43#89989C2218yescomplemented
44#89987C2214yescomplemented
45#89979C2212yescomplemented
46#89979C2212yescomplemented
47#89814C2218yescomplemented
48#89813C2218yescomplemented
49#89812C2214yescomplemented
50#89811C2218yescomplemented
51#89810C2218yescomplemented
52#89809C2218yescomplemented
53#89808C2214yescomplemented
54#89807C2218yescomplemented
55#89806C2214yescomplemented
56#89805C2214yescomplemented
57#89775C2218yescomplemented
58#89768C2218yescomplemented
59#89738C2214yescomplemented
60#89736C2214yescomplemented
61#60753—71nomaximal, Sylow
62C25×C7—21no—
63C2×C7×#41—44no—
64C2×C7×#41D412yes—
65C2×C7×#41D412yes—
66C2×C7×#41C2312yes—
67C2×C7×#41C2312yes—
68C22×C7×Q8D411yescharacteristic
69C22×C7×D4—22no—
70C22×C7×D4—22no—
71C22×C7×D4—21no—
72C22×C7×D4—22no—
73C22×C7×D4—44no—
74C22×C7×D4D411yescharacteristic
75C22×C7×D4D411yescharacteristic
76C22×C7×D4D411yescharacteristic
77C22×C7×D4C2312yes—
78C22×C7×D4C2314yes—
79C23×C4×C7C2311yescharacteristic
80C23×C4×C7C2311yescharacteristic
81C23×C4×C7C2311yescharacteristic
82C22×C22⋊D7—21no—
83C2×#1157—21no—
84C2×#1157—21no—
85C2×#1157—44no—
86C2×#1157C2312yes—
87C2×#1157C2312yescomplemented
88C22×D28C2311yescharacteristic, complemented
89C22×C4×D7—21no—
90C22×Dic14C2311yescharacteristic, complemented
91C7×#127—24no—
92C7×#127—24no—
93C7×#124—24no—
94C7×#124—24no—
95C7×#121—22no—
96C7×#121—22no—
97C7×#121—24no—
98C7×#121C2314yes—
99C7×#121C2314yes—
100C7×#121C2318yes—
101C7×#120—24no—
102C7×#120—24no—
103C7×#120—24no—
104C7×#120—24no—
105C7×#117—22no—
106C7×#117C2314yes—
107C2×C7×C4⋊C4C2312yes—
108C2×C7×C22⋊C4—21no—
109C2×C7×C22⋊C4—22no—
110C2×C7×C22⋊C4—22no—
111C2×C42×C7—21no—
112#6516—22no—
113#6516—22no—
114C2×C22⋊Dic7—21no—
115#6510—22no—
116#6509—24no—
117#6507—22no—
118#6503—22no—
119#6502—24no—
120#6502—24no—
121#6501—24no—
122#6500—22no—
123#6500—22no—
124#6499—22no—
125#6498—22no—
126#6498—22no—
127C2×#1142C2318yes—
128#6495—48no—
129C2×#1141C2318yes—
130#6493C2314yes—
131#6493C2314yescomplemented
132#6492—22no—
133#6492—22no—
134C4×C22⋊D7—24no—
135C4×C22⋊D7—24no—
136#6489—21no—
137#6489—21no—
138#6489C2312yes—
139#6489C2312yescomplemented
140C2×C4⋊Dic7C2312yescomplemented
141#6487C2314yes—
142#6487C2314yescomplemented
143C2×C4×Dic7—21no—
144C2×#1136—44no—
145C2×#1136C2314yes—
146C2×#1136C2314yescomplemented
147C22×C7⋊C8C2314yescomplemented
148#6406C2318yes—
149#6406C2318yes—
150C22⋊(C7⋊C8)C2318yes—
151C22⋊(C7⋊C8)C2314yescomplemented
152C22⋊(C7⋊C8)C2314yescomplemented
153#6384C2318yescomplemented
154#6383C2318yescomplemented
155#6382C2318yescomplemented
156#6381C2318yescomplemented
157#3449—71no—
158C2×#535D711yescharacteristic, complemented
159#3200—74no—
160#3199—74no—
161#3198—78no—
162#3094—72no—
163#3093—72no—
164#3055—74no—
165#3006—72no—
166#3003—72no—
167#2879—71no—
168C24×C7—22no—
169C24×C7—24no—
170C24×C7—44no—
171C24×C7—84no—
172C24×C7C2×D411yescharacteristic
173C24×C7C2×D411yescharacteristic
174C24×C7C2×D411yescharacteristic
175C23×D7—21no—
176C7×#41—44no—
177C7×#41—44no—
178C7×#41—42no—
179C7×#41—42no—
180C7×#41—42no—
181C7×#41—42no—
182C2×C7×Q8—42no—
183C2×C7×Q8C2×D412yes—
184C2×C7×Q8C2×D412yes—
185C2×C7×D4—24no—
186C2×C7×D4—28no—
187C2×C7×D4—24no—
188C2×C7×D4—22no—
189C2×C7×D4—24no—
190C2×C7×D4—28no—
191C2×C7×D4—44no—
192C2×C7×D4—44no—
193C2×C7×D4—42no—
194C2×C7×D4—42no—
195C2×C7×D4—42no—
196C2×C7×D4—44no—
197C2×C7×D4—48no—
198C2×C7×D4—84no—
199C2×C7×D4—84no—
200C2×C7×D4C2×D412yes—
201C2×C7×D4C2×D412yes—
202C2×C7×D4C2×D412yes—
203C2×C7×D4C2×D412yes—
204C2×C7×D4C2×D412yes—
205C2×C7×D4C2×D412yes—
206C2×C7×D4C2414yes—
207C22×C4×C7—24no—
208C22×C4×C7—24no—
209C22×C4×C7—24no—
210C22×C4×C7—22no—
211C22×C4×C7C2×D411yescharacteristic
212C22×C4×C7C2×D411yescharacteristic
213C22×C4×C7C2×D411yescharacteristic
214C22×C4×C7C2×D412yes—
215C22×C4×C7C2×D412yes—
216C22×C4×C7C2×D411yescharacteristic
217C22×C4×C7C2×D411yescharacteristic
218C22×C4×C7C2412yes—
219C22×C4×C7C2411yescharacteristic
220C22×C4×C7C2411yescharacteristic
221C22×C4×C7C2412yes—
222C22×C4×C7C2411yescharacteristic
223C2×C22⋊D7—22no—
224C2×C22⋊D7—22no—
225C2×C22⋊D7—24no—
226C2×C22⋊D7—24no—
227C2×C22⋊D7—44no—
228C22×Dic7—21no—
229C22×Dic7—22no—
230#1157—28no—
231#1157—44no—
232#1157—44no—
233#1157—44no—
234C2×D28—21no—
235C2×D28—42no—
236C2×D28C2412yes—
237C2×C4×D7—22no—
238C2×C4×D7—22no—
239C2×C4×D7—44no—
240C2×Dic14—21no—
241C2×Dic14—42no—
242C2×Dic14C2412yes—
243C7×C4⋊C4—22no—
244C7×C4⋊C4C2414yes—
245C7×C22⋊C4—24no—
246C7×C22⋊C4—24no—
247C7×C22⋊C4—28no—
248C7×C22⋊C4—24no—
249C42×C7—24no—
250C22⋊Dic7—24no—
251C22⋊Dic7—24no—
252C22⋊Dic7—22no—
253C22⋊Dic7—22no—
254#1142—48no—
255#1141—48no—
256(C2×D7)⋊C4—24no—
257(C2×D7)⋊C4—24no—
258C4⋊Dic7—22no—
259C4⋊Dic7C2414yes—
260Dic7⋊C4—24no—
261Dic7⋊C4—24no—
262C4×Dic7—22no—
263C4×Dic7—22no—
264#1136—28no—
265#1136—44no—
266C2×C7⋊C8—44no—
267C2×C7⋊C8C2418yes—
268C22×#41—71no—
269C22×#41C2×D711yescharacteristic
270C23×D4C2×D711yescharacteristic, complemented
271C2×AGL(1,ℤ/8)—74no—
272C22×M16—72no—
273#537—74no—
274#536—72no—
275#536—141no—
276#535—22no—
277#535—22no—
278#535—72no—
279#535—141no—
280#535C2×D714yes—
281#535C2×D714yescomplemented
282#534—141no—
283#534—141no—
284#532—142no—
285C2×#127—21no—
286C2×#124—21no—
287#525—72no—
288#525—72no—
289#525—142no—
290C2×#121C2×D712yes—
291C2×#121C2×D712yescomplemented
292C2×#120—21no—
293C2×#120—21no—
294C2×#117—71no—
295C2×#117C2×D711yescharacteristic, complemented
296#485—78no—
297#482—78no—
298#482—78no—
299#481—74no—
300#480—74no—
301#469—78no—
302#468—78no—
303#466—78no—
304#465—78no—
305#450—78no—
306#449—78no—
307#448—74no—
308#447—78no—
309#447—74no—
310#428—74no—
311#418—74no—
312#417—74no—
313#408—74no—
314#408—74no—
315#407—72no—
316#407—72no—
317C23×C7—22no—
318C23×C7—22no—
319C23×C7—22no—
320C23×C7—24no—
321C23×C7—42no—
322C23×C7—42no—
323C23×C7—42no—
324C23×C7—48no—
325C23×C7—44no—
326C23×C7—44no—
327C23×C7—44no—
328C23×C7—88no—
329C23×C7—816no—
330C23×C7C22×D412yes—
331C23×C7C22×D411yescharacteristic
332C23×C7C22×D412yes—
333C23×C7C22×D411yescharacteristic
334C23×C7C22×D411yescharacteristic
335C22×D7—22no—
336C22×D7—42no—
337C22×D7—82no—
338C7×Q8—42no—
339C7×Q8—42no—
340C7×D4—28no—
341C7×D4—42no—
342C7×D4—42no—
343C7×D4—42no—
344C7×D4—42no—
345C7×D4—42no—
346C7×D4—42no—
347C7×D4—48no—
348C7×D4—44no—
349C7×D4—84no—
350C7×D4—88no—
351C7×D4—84no—
352C2×C4×C7—22no—
353C2×C4×C7—22no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—24no—
358C2×C4×C7—24no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7—22no—
364C2×C4×C7—22no—
365C2×C4×C7—24no—
366C2×C4×C7—44no—
367C2×C4×C7C22×D411yescharacteristic
368C2×C4×C7C22×D412yes—
369C2×C4×C7C22×D412yes—
370C2×C4×C7C22×D411yescharacteristic
371C2×C4×C7C22×D411yescharacteristic
372C2×C4×C7H(5,𝔽2)14yes—
373C2×C4×C7C2511yescharacteristic
374C22⋊D7—44no—
375C22⋊D7—44no—
376C22⋊D7—84no—
377C22⋊D7—84no—
378C2×Dic7—24no—
379C2×Dic7—22no—
380C2×Dic7—42no—
381C2×Dic7—82no—
382D28—24no—
383D28—42no—
384C4×D7—44no—
385C4×D7—44no—
386Dic14—24no—
387Dic14—42no—
388C7⋊C8—28no—
389C25—21no—
390C2×#41—44no—
391C2×#41—72no—
392C2×#41—72no—
393C2×#41—141no—
394C2×#41—141no—
395C2×#41—284no—
396C2×#41C22⋊D712yes—
397C2×#41C22⋊D712yes—
398C2×#41C22×D712yes—
399C2×#41C22×D712yes—
400C22×Q8—71no—
401C22×Q8C22⋊D711yescharacteristic
402C22×D4—22no—
403C22×D4—22no—
404C22×D4—21no—
405C22×D4—22no—
406C22×D4—44no—
407C22×D4—71no—
408C22×D4—141no—
409C22×D4C22⋊D711yescharacteristic
410C22×D4C22⋊D711yescharacteristic
411C22×D4C22⋊D711yescharacteristic
412C22×D4C22×D712yes—
413C22×D4C22×D714yes—
414C23×C4—141no—
415C23×C4C22×D711yescharacteristic
416C23×C4C22×D711yescharacteristic
417C23×C4C22×D711yescharacteristic
418AGL(1,ℤ/8)—288no—
419C2×SD16—78no—
420C2×D8—78no—
421C2×M16—74no—
422C2×M16—74no—
423C2×M16—284no—
424C22×C8—74no—
425C4⋊Q8—142no—
426#127—24no—
427#127—24no—
428#127—142no—
429#124—24no—
430#124—24no—
431#124—142no—
432#124—142no—
433#123—142no—
434#123—142no—
435#123—142no—
436#123—142no—
437C22⋊Q8—74no—
438C22⋊Q8—74no—
439C22⋊Q8—144no—
440#121—22no—
441#121—22no—
442#121—24no—
443#121—74no—
444#121—74no—
445#121—144no—
446#121—144no—
447#121—144no—
448#121C22×D714yes—
449#121C22×D714yes—
450#121C22×D718yes—
451#120—24no—
452#120—24no—
453#120—24no—
454#120—24no—
455#120—142no—
456#120—142no—
457#120—142no—
458#120—142no—
459C4×D4—144no—
460C4×D4—144no—
461#117—22no—
462#117—72no—
463#117—72no—
464#117—141no—
465#117—141no—
466#117C22×D714yes—
467C2×C4⋊C4—72no—
468C2×C4⋊C4C22×D712yes—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—22no—
471C2×C22⋊C4—22no—
472C2×C22⋊C4—141no—
473C2×C42—21no—
474C2×C42—141no—
475#107—78no—
476#106—78no—
477#103—78no—
478#102—78no—
479#102—78no—
480#102—78no—
481C22⋊C8—78no—
482C22⋊C8—74no—
483C22⋊C8—74no—
484C22×C7—22no—
485C22×C7—22no—
486C22×C7—24no—
487C22×C7—24no—
488C22×C7—22no—
489C22×C7—21no—
490C22×C7—21no—
491C22×C7—22no—
492C22×C7—22no—
493C22×C7—44no—
494C22×C7—44no—
495C22×C7—44no—
496C22×C7—44no—
497C22×C7—82no—
498C22×C7—82no—
499C22×C7—88no—
500C22×C7—816no—
501C22×C7#53412yes—
502C22×C7C23×D411yescharacteristic
503C2×D7—44no—
504C2×D7—42no—
505C2×D7—84no—
506C4×C7—21no—
507C4×C7—21no—
508C4×C7—22no—
509C4×C7—22no—
510C4×C7—44no—
511C4×C7#53412yes—
512C4×C7C2×H(5,𝔽2)12yes—
513Dic7—44no—
514Dic7—42no—
515C24—22no—
516C24—24no—
517C24—44no—
518C24—84no—
519C24—141no—
520C24C2×C22⋊D711yescharacteristic
521C24C2×C22⋊D711yescharacteristic
522C24C2×C22⋊D711yescharacteristic
523#41—44no—
524#41—44no—
525#41—42no—
526#41—42no—
527#41—42no—
528#41—42no—
529#41—148no—
530#41—284no—
531#41—284no—
532#41—284no—
533C2×Q8—42no—
534C2×Q8—72no—
535C2×Q8—141no—
536C2×Q8—282no—
537C2×Q8C2×C22⋊D712yes—
538C2×Q8C2×C22⋊D712yes—
539C2×D4—24no—
540C2×D4—28no—
541C2×D4—24no—
542C2×D4—28no—
543C2×D4—22no—
544C2×D4—24no—
545C2×D4—44no—
546C2×D4—44no—
547C2×D4—42no—
548C2×D4—42no—
549C2×D4—42no—
550C2×D4—44no—
551C2×D4—48no—
552C2×D4—72no—
553C2×D4—84no—
554C2×D4—84no—
555C2×D4—142no—
556C2×D4—142no—
557C2×D4—144no—
558C2×D4—144no—
559C2×D4—141no—
560C2×D4—282no—
561C2×D4—284no—
562C2×D4C2×C22⋊D712yes—
563C2×D4C2×C22⋊D712yes—
564C2×D4C2×C22⋊D712yes—
565C2×D4C2×C22⋊D712yes—
566C2×D4C2×C22⋊D712yes—
567C2×D4C2×C22⋊D712yes—
568C2×D4C23×D714yes—
569C22×C4—24no—
570C22×C4—24no—
571C22×C4—24no—
572C22×C4—22no—
573C22×C4—141no—
574C22×C4—142no—
575C22×C4—142no—
576C22×C4—142no—
577C22×C4—284no—
578C22×C4C2×C22⋊D711yescharacteristic
579C22×C4C2×C22⋊D711yescharacteristic
580C22×C4C2×C22⋊D711yescharacteristic
581C22×C4C2×C22⋊D711yescharacteristic
582C22×C4C2×C22⋊D712yes—
583C22×C4C2×C22⋊D711yescharacteristic
584C22×C4C2×C22⋊D712yes—
585C22×C4C23×D711yescharacteristic
586C22×C4C23×D711yescharacteristic
587C22×C4C23×D712yes—
588C22×C4C23×D712yes—
589C22×C4C23×D711yescharacteristic
590SD16—288no—
591D8—288no—
592M16—148no—
593M16—284no—
594C2×C8—78no—
595C2×C8—284no—
596C4⋊C4—22no—
597C4⋊C4—74no—
598C4⋊C4—144no—
599C4⋊C4—144no—
600C4⋊C4—142no—
601C4⋊C4C23×D714yes—
602C22⋊C4—24no—
603C22⋊C4—24no—
604C22⋊C4—28no—
605C22⋊C4—24no—
606C22⋊C4—142no—
607C22⋊C4—142no—
608C22⋊C4—144no—
609C22⋊C4—144no—
610C22⋊C4—144no—
611C22⋊C4—144no—
612C42—24no—
613C42—142no—
614C42—142no—
615C2×C7—22no—
616C2×C7—41no—
617C2×C7—42no—
618C2×C7—41no—
619C2×C7—42no—
620C2×C7—84no—
621C2×C7C2×#53411yescharacteristic
622C2×C7#358512yes—
623D7—82no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—24no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—48no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—88no—
636C23—816no—
637C23—142no—
638C23—282no—
639C23—562no—
640C23C22×C22⋊D712yes—
641C23C22×C22⋊D711yescharacteristic
642C23C22×C22⋊D712yes—
643C23C22×C22⋊D711yescharacteristic
644C23C22×C22⋊D711yescharacteristic
645Q8—42no—
646Q8—42no—
647Q8—144no—
648Q8—282no—
649D4—28no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—42no—
656D4—48no—
657D4—44no—
658D4—84no—
659D4—88no—
660D4—84no—
661D4—144no—
662D4—282no—
663D4—284no—
664D4—284no—
665D4—564no—
666D4—564no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—24no—
681C2×C4—44no—
682C2×C4—144no—
683C2×C4—142no—
684C2×C4—284no—
685C2×C4—282no—
686C2×C4—284no—
687C2×C4—562no—
688C2×C4#654814yes—
689C2×C4C22×C22⋊D712yes—
690C2×C4C22×C22⋊D711yescharacteristic
691C2×C4C22×C22⋊D712yes—
692C2×C4C22×C22⋊D711yescharacteristic
693C2×C4C22×C22⋊D711yescharacteristic
694C2×C4C24×D711yescharacteristic
695C8—148no—
696C7#6075311yescharacteristic, complemented, Sylow
697C22—22no—
698C22—21no—
699C22—21no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—24no—
704C22—22no—
705C22—24no—
706C22—44no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22—82no—
711C22—82no—
712C22—88no—
713C22—816no—
714C22—282no—
715C22—284no—
716C22—564no—
717C22#9049512yes—
718C22C23×C22⋊D711yescharacteristic
719C4—21no—
720C4—22no—
721C4—21no—
722C4—22no—
723C4—44no—
724C4—282no—
725C4—284no—
726C4#9049512yes—
727C4C2×#654812yes—
728C2—22no—
729C2—42no—
730C2—41no—
731C2—41no—
732C2—42no—
733C2—84no—
734C2—562no—
735C2C2×#9049511yescharacteristic
736C2#1174434512yes—
subgroupG/H
centerC22C23×C22⋊D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#535C2
socleC22×C7C23×D4
hypercenterC2×#535D7
hypocenterC7#60753
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C22×#41 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. C2×C7×#535C2semidirect
2. #11744336C2semidirect
3. #11741519C2semidirect
4. #11741483C2semidirect
5. #11740837C2semidirect
6. #11740832C2semidirect
7. #11740831C2semidirect
8. #11740069C2semidirect
9. #11740066C2semidirect
10. #11740061C2semidirect
11. #11739661C2semidirect
13. C23×C7×D4C22semidirect
14. C22×#1157C22semidirect
18. C7×#535C22semidirect
22. C2×C7×#121C22semidirect
25. C2×C7×#117C22semidirect
26. #90524C22semidirect
28. #90521C22semidirect
30. #90516C22semidirect
37. #90482C22semidirect
38. C2×#6489C22semidirect
39. C22×#1136C22semidirect
40. #90006C22semidirect
41. #90006C22semidirect
42. #89990C22semidirect
43. #89989C22semidirect
44. #89987C22semidirect
45. #89979C22semidirect
46. #89979C22semidirect
47. #89814C22semidirect
48. #89813C22semidirect
49. #89812C22semidirect
50. #89811C22semidirect
51. #89810C22semidirect
52. #89809C22semidirect
53. #89808C22semidirect
54. #89807C22semidirect
55. #89806C22semidirect
56. #89805C22semidirect
57. #89775C22semidirect
58. #89768C22semidirect
59. #89738C22semidirect
60. #89736C22semidirect
87. C2×#1157C23semidirect
88. C22×D28C23semidirect
90. C22×Dic14C23semidirect
131. #6493C23semidirect
139. #6489C23semidirect
140. C2×C4⋊Dic7C23semidirect
142. #6487C23semidirect
146. C2×#1136C23semidirect
147. C22×C7⋊C8C23semidirect
151. C22⋊(C7⋊C8)C23semidirect
152. C22⋊(C7⋊C8)C23semidirect
153. #6384C23semidirect
154. #6383C23semidirect
155. #6382C23semidirect
156. #6381C23semidirect
158. C2×#535D7semidirect
270. C23×D4C2×D7semidirect
281. #535C2×D7semidirect
291. C2×#121C2×D7semidirect
295. C2×#117C2×D7semidirect
696. C7#60753semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#5352
#117443362
#117415192
#117414832
#117408372
#117408322
#117408312
#117400692
#117400662
#117400612
#117396612
#607537