Finite Group Databasebeta

← #14218051

Subgroups — #14218051

Order 1792.

2734 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×C7×2−1+4C211yesmaximal, characteristic, complemented
2C2×#90528C211yesmaximal, characteristic
3C4×#6553C211yesmaximal, characteristic, complemented
4#11741556C211yesmaximal, characteristic, complemented
5#11740009C213yesmaximal, complemented
6#11740008C211yesmaximal, characteristic, complemented
7#11740007C211yesmaximal, characteristic, complemented
8#11740002C213yesmaximal, complemented
9#11739993C213yesmaximal, complemented
10#11739992C213yesmaximal, complemented
11C4×#6512C213yesmaximal, complemented
12#11739956C211yesmaximal, characteristic, complemented
13#11739951C213yesmaximal, complemented
14C2×#89798C213yesmaximal, complemented
15C4×#6505C213yesmaximal, complemented
16C2×C7×2−1+4C2211yescharacteristic
17C2×#6553C2211yescharacteristic
18C7×#520—23no—
19C7×#520C2211yescharacteristic
20C7×#520C2213yescomplemented
21C7×#519—21no—
22C7×#519C2213yescomplemented
23C4×C7×#41—23no—
24C4×C7×#41C2211yescharacteristic
25C4×C7×#41C2213yescomplemented
26C2×C4×C7×Q8—21no—
27C2×C4×C7×Q8C2213yescomplemented
28#90528C4116yescomplemented
29#90518C2211yescharacteristic
30C2×#6513C2213yes—
31C2×#6512C2213yes—
32C2×#6511C2211yescharacteristic
33C2×#6511C2211yescharacteristic
34C2×#6505C2213yes—
35C22×#1143C2213yes—
36#90265—21no—
37C4×#1161—21no—
38#90236—23no—
39C4×D4×D7—23no—
40#90214C2213yes—
41#90212C2213yes—
42C4×#1157C2213yes—
43C2×C4×D28C2213yes—
44#90005C2213yescomplemented
45#90004C2213yescomplemented
46#89997C2213yescomplemented
47C2×#6409C2213yescomplemented
48#89802C2213yescomplemented
49#89802C2213yescomplemented
50C4×#1144C2216yescomplemented
51#89798C2213yescomplemented
52#89798C2213yescomplemented
53#89798C2216yescomplemented
54#89798C2216yescomplemented
55#89798C2216yescomplemented
56C4×#1143C2216yescomplemented
57C4×#1143C2216yescomplemented
58#89790C2211yescharacteristic, complemented
59#89790C2213yescomplemented
60#89786C2213yescomplemented
61#89786C2213yescomplemented
62C4×#1141C2216yescomplemented
63#89774C2213yes—
64#89773C2213yes—
65#89770C2213yescomplemented
66#89769C2213yescomplemented
67#89769C2213yescomplemented
68#89767C2213yescomplemented
69#89738C2213yes—
70C2×#6383C2213yes—
71#89736C2213yescomplemented
72C2×#6381C2213yescomplemented
73C4×#1136C2213yescomplemented
74C2×#6377C2213yescomplemented
75#60174—71nomaximal, Sylow
76C7×2−1+4—24no—
77C7×2−1+4C2×C418yescomplemented
78C2×C7×#41—23no—
79C2×C7×#41C2313yes—
80C2×C7×#41C2311yescharacteristic
81C22×C7×Q8—21no—
82C22×C7×Q8C2313yes—
83#6553—24no—
84#6553C2×C418yescomplemented
85C2×#1161—21no—
86C2×D4×D7—23no—
87C2×#1157C2313yes—
88C22×D28C2313yes—
89C22×C4×D7—23no—
90C4×C7×Q8—21no—
91C4×C7×Q8—23no—
92C4×C7×Q8—23no—
93C4×C7×Q8—23no—
94C4×C7×Q8—23no—
95C4×C7×Q8D411yescharacteristic
96C4×C7×Q8D411yescharacteristic
97C4×C7×Q8C2313yes—
98C4×C7×Q8C2316yes—
99C4×C7×Q8C2313yes—
100C4×C7×D4—23no—
101C4×C7×D4—23no—
102C4×C7×D4—23no—
103C4×C7×D4—26no—
104C4×C7×D4D413yes—
105C4×C7×D4D413yes—
106C4×C7×D4C2311yescharacteristic
107C4×C7×D4C2313yes—
108C7×#117—23no—
109C7×#117—26no—
110C7×#117—23no—
111C7×#117C2313yes—
112C7×#117C2313yes—
113C2×C7×C4⋊C4—23no—
114C2×C7×C4⋊C4—23no—
115C2×C7×C4⋊C4C2313yes—
116C2×C42×C7—23no—
117C2×C42×C7—23no—
118C2×C42×C7C2313yes—
119#6513C2×C4124yescomplemented
120#6512C2×C4124yescomplemented
121#6511—24no—
122#6511C2×C418yescomplemented
123Q8×Dic7—21no—
124C2×#1144C2313yes—
125#6505C2×C4124yescomplemented
126C2×#1143C2×C4124yescomplemented
127C2×#1143C2313yes—
128C2×#1143C2316yes—
129D4×Dic7—23no—
130C2×#1142C2311yescharacteristic
131C2×#1141C2313yes—
132C4×C22⋊D7—23no—
133C4×C22⋊D7—23no—
134C2×(C2×D7)⋊C4—23no—
135#6489C2313yes—
136C2×C4⋊Dic7C2313yes—
137C2×#1136C2313yes—
138C2×#1136C2313yes—
139C22×C7⋊C8C2313yes—
140C22×C7⋊C8C2313yes—
141#6456—23no—
142#6456—23no—
143#6455—23no—
144D7×C4⋊C4—23no—
145(C22⋊D7)⋊C4—26no—
146D7×C22⋊C4—26no—
147C4×D28—23no—
148C4×D28—23no—
149C4×D28C2313yes—
150C4×D28C2316yes—
151C4×D28C2313yes—
152#6435—23no—
153C42×D7—23no—
154C4×Dic14C2311yescharacteristic
155C4×Dic14C2313yes—
156#6409C2313yes—
157#6409C2316yes—
158#6409C2313yes—
159#6406C2313yes—
160#6406C2311yescharacteristic
161#6384C2313yes—
162#6384C2311yescharacteristic
163#6383C2313yes—
164#6383C2316yes—
165#6383C2313yes—
166#6382C2313yes—
167#6382C2313yes—
168#6381C2313yes—
169#6381C2316yes—
170#6381C2311yescharacteristic
171#6377C2311yescharacteristic
172#6377C2313yes—
173#6377C2313yes—
174#6377C2313yes—
175C4×C7⋊C8C2316yes—
176C2×#577—71no—
177C4×2−1+4D711yescharacteristic, complemented
178C4×H(5,𝔽2)—71no—
179#2951—73no—
180#2949—73no—
181#2947—73no—
182#2946—73no—
183C4×#137—73no—
184C4×AGL(1,ℤ/8)—73no—
185#2943—73no—
186C2×#440—73no—
187#2913—71no—
188#2898—71no—
189#2897—71no—
190#2875—71no—
191C23×D7—23no—
192C7×#41—224no—
193C7×#41—26no—
194C7×#41C22×C414yes—
195C7×#41C22×C4112yescomplemented
196C7×#41#4114yes—
197C2×C7×Q8—28no—
198C2×C7×Q8—23no—
199C2×C7×Q8—26no—
200C2×C7×Q8C22×C4112yescomplemented
201C2×C7×Q8C2×D411yescharacteristic
202C2×C7×Q8C2413yes—
203C2×C7×D4—23no—
204C2×C7×D4C2×D413yes—
205C2×C7×D4C2411yescharacteristic
206C22×C4×C7—23no—
207C22×C4×C7—23no—
208C22×C4×C7—23no—
209C22×C4×C7—21no—
210C22×C4×C7—23no—
211C22×C4×C7C2×D413yes—
212C22×C4×C7C2×D413yes—
213C22×C4×C7C2413yes—
214C2×C22⋊D7—23no—
215C22×Dic7—23no—
216#1161—28no—
217D4×D7—224no—
218#1157—26no—
219#1157C22×C4112yes—
220C2×D28—23no—
221C2×D28—26no—
222C2×D28C22×C4112yes—
223C2×D28C2413yes—
224C2×C4×D7—23no—
225C2×C4×D7—23no—
226C2×C4×D7—23no—
227C2×C4×D7—26no—
228C2×C4×D7—86no—
229C2×Dic14C2411yescharacteristic
230C7×C4⋊C4—23no—
231C7×C4⋊C4—26no—
232C7×C4⋊C4—23no—
233C7×C4⋊C4—23no—
234C7×C4⋊C4C2×D413yes—
235C7×C4⋊C4C2×D413yes—
236C7×C4⋊C4C2413yes—
237C7×C4⋊C4C2411yescharacteristic
238C7×C22⋊C4—23no—
239C7×C22⋊C4—21no—
240C7×C22⋊C4—23no—
241C7×C22⋊C4C2×D416yes—
242C42×C7—23no—
243C42×C7—23no—
244C42×C7—26no—
245C42×C7—23no—
246C42×C7C2×D413yes—
247C42×C7C2×D413yes—
248C42×C7C2411yescharacteristic
249C42×C7C2413yes—
250C22⋊Dic7—23no—
251#1144C22×C4112yescomplemented
252#1143C22×C4112yescomplemented
253#1143C22×C4124yescomplemented
254#1142C22×C414yescomplemented
255#1141C22×C4112yescomplemented
256(C2×D7)⋊C4—23no—
257(C2×D7)⋊C4—23no—
258(C2×D7)⋊C4—26no—
259C4⋊Dic7—23no—
260C4⋊Dic7C2413yes—
261C4⋊Dic7C2411yescharacteristic
262Dic7⋊C4—21no—
263Dic7⋊C4—23no—
264C4×Dic7—21no—
265C4×Dic7—23no—
266C4×Dic7—23no—
267#1136—26no—
268#1136C22×C4112yescomplemented
269C2×C7⋊C8—26no—
270C2×C7⋊C8C22×C4112yescomplemented
271C2×C7⋊C8C2411yescharacteristic
272C2×C7⋊C8C2413yes—
273C2×C7⋊C8C2411yescharacteristic
274C2×C7⋊C8C2413yes—
275C2×2−1+4C2×D711yescharacteristic
276C2×H(5,𝔽2)—71no—
277#577—716no—
278C2×#137—73no—
279C2×AGL(1,ℤ/8)—73no—
280C2×#135—73no—
281C22×SD16—73no—
282C2×#131—71no—
283C2×#131—71no—
284#520—23no—
285#520—71no—
286#520—73no—
287#520—141no—
288#520C2×D711yescharacteristic
289#520C2×D713yescomplemented
290#519—21no—
291#519C2×D713yescomplemented
292#518—73no—
293#518—143no—
294C4×#41—23no—
295C4×#41—73no—
296C4×#41—141no—
297C4×#41C2×D711yescharacteristic
298C4×#41C2×D713yescomplemented
299C2×C4×Q8—21no—
300C2×C4×Q8C2×D713yescomplemented
301C2×C4×D4—73no—
302C2×C4×D4—143no—
303#442—73no—
304#442—73no—
305#441—73no—
306#441—73no—
307#440—73no—
308#440—76no—
309#440—76no—
310#440—76no—
311#440—73no—
312#440—71no—
313#440—73no—
314C4×Q16—76no—
315C4×SD16—76no—
316C4×SD16—76no—
317C4×D8—76no—
318#428—73no—
319#428—73no—
320#427—73no—
321C2×#107—73no—
322#419—73no—
323#418—73no—
324#417—73no—
325#417—73no—
326#416—73no—
327#416—73no—
328C2×#103—73no—
329C2×#102—73no—
330#405—73no—
331#405—73no—
332C4×M16—73no—
333C2×#97—73no—
334C23×C7—21no—
335C23×C7C22×D413yes—
336C22×D7—23no—
337C22×D7—212no—
338C22×D7—83no—
339C22×D7—83no—
340C7×Q8—212no—
341C7×Q8—23no—
342C7×Q8C4×D414yes—
343C7×Q8C23×C416yes—
344C7×D4—212no—
345C7×D4—21no—
346C7×D4C4×D4112yes—
347C7×D4C23×C412yes—
348C2×C4×C7—212no—
349C2×C4×C7—23no—
350C2×C4×C7—212no—
351C2×C4×C7—21no—
352C2×C4×C7—23no—
353C2×C4×C7—43no—
354C2×C4×C7—43no—
355C2×C4×C7—42no—
356C2×C4×C7—83no—
357C2×C4×C7—83no—
358C2×C4×C7C23×C416yes—
359C2×C4×C7C22×D413yes—
360C2×C4×C7C22×D411yescharacteristic
361C2×C4×C7C22×D411yescharacteristic
362C2×C4×C7C22×D413yes—
363C2×C4×C7C22×D413yes—
364C2×C4×C7C2×#4116yes—
365C2×C4×C7C2511yescharacteristic
366C22⋊D7—212no—
367C2×Dic7—21no—
368C2×Dic7—21no—
369C2×Dic7—23no—
370C2×Dic7—83no—
371D28—212no—
372D28—23no—
373D28C23×C416yes—
374C4×D7—212no—
375C4×D7—46no—
376C4×D7—83no—
377C4×D7—86no—
378Dic14—21no—
379Dic14C23×C412yes—
380C7⋊C8—21no—
381C7⋊C8—23no—
382C7⋊C8C23×C412yes—
383C7⋊C8C23×C416yes—
3842−1+4—24no—
3852−1+4C4×D718yescomplemented
386H(5,𝔽2)—78no—
387H(5,𝔽2)—144no—
388C2×#41—23no—
389C2×#41—73no—
390C2×#41—141no—
391C2×#41C22×D713yes—
392C2×#41C22×D711yescharacteristic
393C22×Q8—21no—
394C22×Q8C22×D713yes—
395C22×D4—73no—
396C22×D4—143no—
397C23×C4—143no—
398#137—724no—
399AGL(1,ℤ/8)—724no—
400#135—724no—
401C2×Q16—73no—
402C2×SD16—724no—
403C2×SD16—73no—
404C2×SD16—76no—
405C2×SD16—71no—
406C2×D8—73no—
407#131—78no—
408#131—144no—
409C2×M16—73no—
410C2×M16—73no—
411C22×C8—73no—
412C22×C8—73no—
413C4×Q8—21no—
414C4×Q8—23no—
415C4×Q8—23no—
416C4×Q8—23no—
417C4×Q8—23no—
418C4×Q8—71no—
419C4×Q8—73no—
420C4×Q8—141no—
421C4×Q8C22⋊D711yescharacteristic
422C4×Q8C22⋊D711yescharacteristic
423C4×Q8C22×D713yes—
424C4×Q8C22×D716yes—
425C4×Q8C22×D713yes—
426C4×D4—23no—
427C4×D4—23no—
428C4×D4—23no—
429C4×D4—26no—
430C4×D4—73no—
431C4×D4—76no—
432C4×D4—73no—
433C4×D4—143no—
434C4×D4—143no—
435C4×D4—143no—
436C4×D4—143no—
437C4×D4—143no—
438C4×D4—146no—
439C4×D4—143no—
440C4×D4—143no—
441C4×D4C22⋊D713yes—
442C4×D4C22⋊D713yes—
443C4×D4C22×D711yescharacteristic
444C4×D4C22×D713yes—
445#117—23no—
446#117—26no—
447#117—23no—
448#117—73no—
449#117—143no—
450#117—143no—
451#117C22×D713yes—
452#117C22×D713yes—
453C2×C4⋊C4—23no—
454C2×C4⋊C4—23no—
455C2×C4⋊C4—73no—
456C2×C4⋊C4—143no—
457C2×C4⋊C4C22×D713yes—
458C2×C22⋊C4—143no—
459C2×C22⋊C4—146no—
460C2×C42—23no—
461C2×C42—23no—
462C2×C42—143no—
463C2×C42C22×D713yes—
464#107—73no—
465#107—76no—
466#107—71no—
467#106—73no—
468#106—73no—
469#103—73no—
470#103—76no—
471#103—73no—
472#103—71no—
473#103—73no—
474#102—71no—
475#102—73no—
476#102—73no—
477#102—76no—
478#102—73no—
479#97—71no—
480#97—73no—
481#97—73no—
482#97—73no—
483C4×C8—76no—
484C22×C7—23no—
485C22×C7—23no—
486C22×C7—22no—
487C22×C7—41no—
488C22×C7—41no—
489C22×C7C2×C4×D416yes—
490C22×C7C23×D411yescharacteristic
491C2×D7—26no—
492C2×D7—43no—
493C2×D7—43no—
494C2×D7—812no—
495C4×C7—21no—
496C4×C7—23no—
497C4×C7—23no—
498C4×C7—21no—
499C4×C7—26no—
500C4×C7—43no—
501C4×C7—41no—
502C4×C7C2×C4×D416yes—
503C4×C7C24×C411yescharacteristic
504C4×C7C22×#4111yescharacteristic
505Dic7—22no—
506Dic7—43no—
507Dic7—41no—
508C24—143no—
509#41—224no—
510#41—26no—
511#41—712no—
512#41—148no—
513#41—146no—
514#41C2×C4×D714yes—
515#41C2×C4×D7112yescomplemented
516#41#115714yes—
517C2×Q8—28no—
518C2×Q8—26no—
519C2×Q8—23no—
520C2×Q8—71no—
521C2×Q8C2×C4×D7112yescomplemented
522C2×Q8C2×C22⋊D711yescharacteristic
523C2×Q8C23×D713yes—
524C2×D4—23no—
525C2×D4—712no—
526C2×D4—73no—
527C2×D4—143no—
528C2×D4—1424no—
529C2×D4—146no—
530C2×D4—143no—
531C2×D4C2×C22⋊D713yes—
532C2×D4C23×D711yescharacteristic
533C22×C4—23no—
534C22×C4—23no—
535C22×C4—23no—
536C22×C4—21no—
537C22×C4—23no—
538C22×C4—143no—
539C22×C4—143no—
540C22×C4—143no—
541C22×C4—143no—
542C22×C4—146no—
543C22×C4—566no—
544C22×C4C2×C22⋊D713yes—
545C22×C4C2×C22⋊D713yes—
546C22×C4C23×D713yes—
547Q16—712no—
548SD16—712no—
549SD16—724no—
550SD16—74no—
551D8—712no—
552M16—712no—
553M16—146no—
554C2×C8—712no—
555C2×C8—73no—
556C2×C8—71no—
557C2×C8—73no—
558C2×C8—71no—
559C2×C8—146no—
560C4⋊C4—26no—
561C4⋊C4—23no—
562C4⋊C4—23no—
563C4⋊C4—23no—
564C4⋊C4—71no—
565C4⋊C4—73no—
566C4⋊C4—143no—
567C4⋊C4—141no—
568C4⋊C4—143no—
569C4⋊C4C2×C22⋊D713yes—
570C4⋊C4C2×C22⋊D713yes—
571C4⋊C4C23×D711yescharacteristic
572C4⋊C4C23×D713yes—
573C22⋊C4—23no—
574C22⋊C4—21no—
575C22⋊C4—23no—
576C22⋊C4—143no—
577C22⋊C4—143no—
578C22⋊C4—143no—
579C22⋊C4—146no—
580C22⋊C4C2×C22⋊D716yes—
581C42—23no—
582C42—23no—
583C42—26no—
584C42—23no—
585C42—141no—
586C42—143no—
587C42—143no—
588C42C2×C22⋊D713yes—
589C42C2×C22⋊D713yes—
590C42C23×D713yes—
591C42C23×D711yescharacteristic
592C2×C7—26no—
593C2×C7—42no—
594C2×C7C22×C4×D411yescharacteristic
595C2×C7#358511yescharacteristic
596C2×C7#358611yescharacteristic
597D7—46no—
598C23—21no—
599C23—143no—
600C23—1412no—
601C23—563no—
602C23—563no—
603C23C22×C22⋊D713yes—
604Q8—212no—
605Q8—23no—
606Q8—72no—
607Q8—141no—
608Q8C4×C22⋊D714yes—
609Q8C22×C4×D716yes—
610D4—212no—
611D4—21no—
612D4—76no—
613D4—1412no—
614D4—1412no—
615D4—143no—
616D4C4×C22⋊D7112yes—
617D4C22×C4×D712yes—
618C2×C4—212no—
619C2×C4—23no—
620C2×C4—212no—
621C2×C4—21no—
622C2×C4—23no—
623C2×C4—43no—
624C2×C4—43no—
625C2×C4—42no—
626C2×C4—83no—
627C2×C4—83no—
628C2×C4—141no—
629C2×C4—1412no—
630C2×C4—141no—
631C2×C4—143no—
632C2×C4—286no—
633C2×C4—563no—
634C2×C4—566no—
635C2×C4—563no—
636C2×C4C22×C4×D716yes—
637C2×C4C2×#115716yes—
638C2×C4C22×C22⋊D711yescharacteristic
639C2×C4C22×C22⋊D713yes—
640C2×C4C22×C22⋊D713yes—
641C2×C4C22×C22⋊D711yescharacteristic
642C2×C4C22×C22⋊D713yes—
643C2×C4C24×D711yescharacteristic
644C8—72no—
645C8—76no—
646C8—141no—
647C8—143no—
648C7#6017411yescharacteristic, complemented, Sylow
649C22—23no—
650C22—23no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—146no—
655C22—283no—
656C22—283no—
657C22—5612no—
658C22C2×C4×C22⋊D716yes—
659C22C23×C22⋊D711yescharacteristic
660C4—26no—
661C4—21no—
662C4—23no—
663C4—21no—
664C4—23no—
665C4—41no—
666C4—43no—
667C4—142no—
668C4—281no—
669C4—283no—
670C4C2×C4×C22⋊D716yes—
671C4C23×C4×D711yescharacteristic
672C4C22×#115711yescharacteristic
673C2—26no—
674C2—42no—
675C2—286no—
676C2C22×C4×C22⋊D711yescharacteristic
677C2#1174435511yescharacteristic
678C2#1174436611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D7
commutatorC4×C7C24×C4
FrattiniC2×C4C24×D7
FittingC4×C7×2−1+4C2
socleC22×C7C23×D4
prime radicalC2×#90528C2
cosocleC2×C4×C7C25
hypercenterC4×2−1+4D7
hypocenterC7#60174
LCSG ▷ C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C4×#41 ◁ C4×2−1+4

Complements

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

NH ≅ G/Ntype
1. C4×C7×2−1+4C2semidirect
3. C4×#6553C2semidirect
4. #11741556C2semidirect
5. #11740009C2semidirect
6. #11740008C2semidirect
7. #11740007C2semidirect
8. #11740002C2semidirect
9. #11739993C2semidirect
10. #11739992C2semidirect
11. C4×#6512C2semidirect
12. #11739956C2semidirect
13. #11739951C2semidirect
14. C2×#89798C2semidirect
15. C4×#6505C2semidirect
20. C7×#520C22semidirect
22. C7×#519C22semidirect
25. C4×C7×#41C22semidirect
27. C2×C4×C7×Q8C22semidirect
28. #90528C4semidirect
44. #90005C22semidirect
45. #90004C22semidirect
46. #89997C22semidirect
47. C2×#6409C22semidirect
48. #89802C22semidirect
49. #89802C22semidirect
50. C4×#1144C22semidirect
51. #89798C22semidirect
52. #89798C22semidirect
53. #89798C22semidirect
54. #89798C22semidirect
55. #89798C22semidirect
56. C4×#1143C22semidirect
57. C4×#1143C22semidirect
58. #89790C22semidirect
59. #89790C22semidirect
60. #89786C22semidirect
61. #89786C22semidirect
62. C4×#1141C22semidirect
65. #89770C22semidirect
66. #89769C22semidirect
67. #89769C22semidirect
68. #89767C22semidirect
71. #89736C22semidirect
72. C2×#6381C22semidirect
73. C4×#1136C22semidirect
74. C2×#6377C22semidirect
77. C7×2−1+4C2×C4semidirect
84. #6553C2×C4semidirect
119. #6513C2×C4semidirect
120. #6512C2×C4semidirect
122. #6511C2×C4semidirect
125. #6505C2×C4semidirect
126. C2×#1143C2×C4semidirect
177. C4×2−1+4D7semidirect
195. C7×#41C22×C4semidirect
200. C2×C7×Q8C22×C4semidirect
251. #1144C22×C4semidirect
252. #1143C22×C4semidirect
253. #1143C22×C4semidirect
254. #1142C22×C4semidirect
255. #1141C22×C4semidirect
268. #1136C22×C4semidirect
270. C2×C7⋊C8C22×C4semidirect
289. #520C2×D7semidirect
291. #519C2×D7semidirect
298. C4×#41C2×D7semidirect
300. C2×C4×Q8C2×D7semidirect
385. 2−1+4C4×D7semidirect
515. #41C2×C4×D7semidirect
521. C2×Q8C2×C4×D7semidirect
648. C7#60174semidirect

Maximal subgroups

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

subgroupindex
C4×C7×2−1+42
C2×#905282
C4×#65532
#117415562
#117400092
#117400082
#117400072
#117400022
#117399932
#117399922
C4×#65122
#117399562
#117399512
C2×#897982
C4×#65052
#601747