Finite Group Databasebeta

← #13374132

Subgroups — #13374132

Order 1792.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#451C211yesmaximal, characteristic
2Q8×C22⋊Dic7C211yesmaximal, characteristic
3C22×#6409C211yesmaximal, characteristic
4C2×#89956C211yesmaximal, characteristic, complemented
5#11740192C211yesmaximal, characteristic
6#11729821C211yesmaximal, characteristic, complemented
7#11729819C211yesmaximal, characteristic, complemented
8#11729819C211yesmaximal, characteristic, complemented
9#11729450C211yesmaximal, characteristic
10#11728009C211yesmaximal, characteristic, complemented
11#11727992C211yesmaximal, characteristic, complemented
12#11727977C211yesmaximal, characteristic, complemented
13#11727974C211yesmaximal, characteristic, complemented
14#11727702C211yesmaximal, characteristic
15#11727682C211yesmaximal, characteristic
16C23×C7×Q8C2211yescharacteristic
17C22×C7×Q16C2211yescharacteristic
18C22×C7×Q16C2211yescharacteristic
19C2×C7×C22⋊Q8C2211yescharacteristic
20C2×Q8×Dic7C2211yescharacteristic
21C2×Q8×Dic7C2211yescharacteristic
22C2×Q8×Dic7C2211yescharacteristic
23C22×C4⋊Dic7C2211yescharacteristic
24C23×C7⋊C8C2211yescharacteristic
25C7×#451C418yescomplemented
26C2×C7×#103C2211yescharacteristic
27C2×C7×#103C2211yescharacteristic
28C2×C7×C22⋊C8C2211yescharacteristic
29#90002—21no—
30#90002—21no—
31#90002C2211yescharacteristic
32#90002C2211yescharacteristic
33#90002C2211yescharacteristic
34C2×#6409—24no—
35C2×#6409C2211yescharacteristic
36C2×#6409C2211yescharacteristic
37C2×#6409C2211yescharacteristic
38C2×#6409C2211yescharacteristic
39C2×#6409C2211yescharacteristic
40C2×#6409C2211yescharacteristic
41#89984—21no—
42#89984C2211yescharacteristic
43C4×C22⋊Dic7—21no—
44C4×C22⋊Dic7C2211yescharacteristic
45#89956—24no—
46C2×#6391C2211yescharacteristic
47C2×#6391C2211yescharacteristic
48C2×#6389C2211yescharacteristic
49C2×#6389C2211yescharacteristic
50#89757—21no—
51#89757C2211yescharacteristic
52#89753—21no—
53C4⋊C4×Dic7C2211yescharacteristic
54#89722—21no—
55C22⋊C4×Dic7—21no—
56#89346C2211yescharacteristic
57#89346C2211yescharacteristic
58#89345C2211yescharacteristic
59#89345C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#22859—71nomaximal, Sylow
63C22×C7×Q8—21no—
64C22×C7×Q8—22no—
65C22×C7×Q8—22no—
66C22×C7×Q8—22no—
67C22×C7×Q8—41no—
68C22×C7×Q8—41no—
69C22×C7×Q8C2×C414yes—
70C22×C7×Q8C2311yescharacteristic
71C22×C7×Q8C2311yescharacteristic
72C22×C7×Q8C2311yescharacteristic
73C23×C4×C7—21no—
74C23×C4×C7C2311yescharacteristic
75C23×Dic7—21no—
76C2×C7×Q16—22no—
77C2×C7×Q16—22no—
78C2×C7×Q16—41no—
79C2×C7×Q16—41no—
80C2×C7×Q16C2×C414yescomplemented
81C2×C7×Q16C2×C414yescomplemented
82C22×C7×C8C2311yescharacteristic
83C22×C7×C8C2311yescharacteristic
84C7×C22⋊Q8—22no—
85C7×C22⋊Q8C2×C414yes—
86C2×C7×C4⋊C4—21no—
87C2×C7×C4⋊C4C2311yescharacteristic
88C2×C7×C22⋊C4—21no—
89C2×C22⋊Dic7—21no—
90C2×C22⋊Dic7D411yescharacteristic
91C2×C22⋊Dic7D411yescharacteristic
92Q8×Dic7—22no—
93Q8×Dic7—22no—
94Q8×Dic7—22no—
95Q8×Dic7—41no—
96Q8×Dic7—41no—
97Q8×Dic7—41no—
98C2×C4⋊Dic7—22no—
99C2×C4⋊Dic7—21no—
100C2×C4⋊Dic7—21no—
101C2×C4⋊Dic7—21no—
102C2×C4⋊Dic7—21no—
103C2×C4⋊Dic7—21no—
104C2×C4⋊Dic7—41no—
105C2×C4⋊Dic7C2311yescharacteristic
106C2×C4⋊Dic7C2311yescharacteristic
107C2×C4⋊Dic7C2311yescharacteristic
108C2×C4⋊Dic7C2311yescharacteristic
109C2×C4×Dic7—21no—
110C2×C4×Dic7—21no—
111C2×C4×Dic7—21no—
112C2×C4×Dic7—21no—
113C2×C4×Dic7C2311yescharacteristic
114C2×C4×Dic7C2311yescharacteristic
115C22×C7⋊C8—22no—
116C22×C7⋊C8—22no—
117C22×C7⋊C8—41no—
118C22×C7⋊C8C2311yescharacteristic
119C22×C7⋊C8C2311yescharacteristic
120C7×#103C2×C414yescomplemented
121C7×#103C2×C414yescomplemented
122C7×C22⋊C8C2×C414yes—
123#6409—22no—
124#6409—22no—
125#6409—22no—
126#6409—22no—
127#6409—41no—
128#6409D414yes—
129C7⋊#95—21no—
130C7⋊#95—21no—
131C7⋊#95—21no—
132C7⋊#95—21no—
133C7⋊#95—21no—
134C7⋊#95—21no—
135C7⋊#95—21no—
136C7⋊#95—21no—
137C7⋊#95—21no—
138C7⋊#95D411yescharacteristic
139C7⋊#95D411yescharacteristic
140#6391—22no—
141#6391—41no—
142#6389—22no—
143#6389—41no—
144C2×#451D711yescharacteristic
145C2×#441—71no—
146C22×#103—71no—
147#2360—71no—
148Q8×C22⋊C4—71no—
149#1971—71no—
150#1935—71no—
151#1927—71no—
152#1892—71no—
153#1878—71no—
154#1878—71no—
155#1865—71no—
156#1853—71no—
157#1763—71no—
158#1752—71no—
159C24×C7C2×D411yescharacteristic
160C2×C7×Q8—24no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—21no—
164C2×C7×Q8—21no—
165C2×C7×Q8—21no—
166C2×C7×Q8—28no—
167C2×C7×Q8—21no—
168C2×C7×Q8—21no—
169C2×C7×Q8—21no—
170C2×C7×Q8—21no—
171C2×C7×Q8—21no—
172C2×C7×Q8—21no—
173C2×C7×Q8—21no—
174C2×C7×Q8—21no—
175C2×C7×Q8—42no—
176C2×C7×Q8—42no—
177C2×C7×Q8—44no—
178C2×C7×Q8—44no—
179C2×C7×Q8—44no—
180C2×C7×Q8C22×C412yes—
181C2×C7×Q8C22×C412yes—
182C2×C7×Q8C22×C412yes—
183C2×C7×Q8C2×D412yes—
184C2×C7×Q8#4112yes—
185C22×C4×C7—21no—
186C22×C4×C7—21no—
187C22×C4×C7—21no—
188C22×C4×C7—21no—
189C22×C4×C7—21no—
190C22×C4×C7—24no—
191C22×C4×C7—21no—
192C22×C4×C7—21no—
193C22×C4×C7—21no—
194C22×C4×C7—42no—
195C22×C4×C7—42no—
196C22×C4×C7C22×C412yes—
197C22×C4×C7C2×D411yescharacteristic
198C22×C4×C7#4112yes—
199C22×C4×C7C2411yescharacteristic
200C22×Dic7—21no—
201C22×Dic7—21no—
202C22×Dic7—21no—
203C22×Dic7—21no—
204C22×Dic7—42no—
205C22×Dic7—42no—
206C22×Dic7—81no—
207C22×Dic7C2×D411yescharacteristic
208C22×Dic7C2×D411yescharacteristic
209C22×Dic7C2×D411yescharacteristic
210C22×Dic7C2×D411yescharacteristic
211C7×Q16—28no—
212C7×Q16—44no—
213C2×C7×C8—21no—
214C2×C7×C8—21no—
215C2×C7×C8—21no—
216C2×C7×C8—21no—
217C2×C7×C8C22×C412yes—
218C2×C7×C8C22×C412yes—
219C7×C4⋊C4—24no—
220C7×C4⋊C4—21no—
221C7×C4⋊C4C22×C412yes—
222C7×C22⋊C4—24no—
223C22⋊Dic7—22no—
224C22⋊Dic7—22no—
225C22⋊Dic7—42no—
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—42no—
235C4⋊Dic7—42no—
236C4⋊Dic7—42no—
237C4⋊Dic7—81no—
238C4⋊Dic7C2×D412yes—
239C4×Dic7—21no—
240C4×Dic7—21no—
241C4×Dic7—21no—
242C4×Dic7—21no—
243C4×Dic7—42no—
244C4×Dic7—42no—
245C4×Dic7—42no—
246C4×Dic7—81no—
247C2×C7⋊C8—21no—
248C2×C7⋊C8—21no—
249C2×C7⋊C8—21no—
250C2×C7⋊C8—21no—
251C2×C7⋊C8—21no—
252C2×C7⋊C8—44no—
253C2×C7⋊C8C2×D412yes—
254C23×Q8C2×D711yescharacteristic
255C22×Q16C2×D711yescharacteristic
256C22×Q16C2×D711yescharacteristic
257C23×C8—71no—
258C2×C22⋊Q8C2×D711yescharacteristic
259C2×C4×Q8—71no—
260C2×C4×Q8—71no—
261C2×C4×Q8—71no—
262C22×C4⋊C4—71no—
263#451Dic718yescomplemented
264#441—144no—
265C2×#106—71no—
266C2×#106—71no—
267C2×#103—71no—
268C2×#103—71no—
269C2×#103—71no—
270C2×#103—71no—
271C2×#103—71no—
272C2×#103—71no—
273C2×#103—144no—
274C2×#103C2×D711yescharacteristic
275C2×#103C2×D711yescharacteristic
276C2×C22⋊C8C2×D711yescharacteristic
277C2×#97—71no—
278C2×#97—71no—
279#391—71no—
280#391—71no—
281#391—71no—
282#391—141no—
283#391—141no—
284#389—71no—
285#389—141no—
286#387—141no—
287#385—141no—
288#380—71no—
289#380—141no—
290C4×C4⋊C4—71no—
291C4×C22⋊C4—71no—
292C4×C22⋊C4—141no—
293C4×C22⋊C4—141no—
294#340—71no—
295#340—71no—
296#340—71no—
297#340—71no—
298#336—71no—
299#336—71no—
300C23×C7—21no—
301C23×C7—21no—
302C23×C7—21no—
303C23×C7—21no—
304C23×C7C4×D412yes—
305C23×C7#13712yes—
306C23×C7#13712yes—
307C23×C7C22×D411yescharacteristic
308C7×Q8—22no—
309C7×Q8—22no—
310C7×Q8—22no—
311C7×Q8—22no—
312C7×Q8—22no—
313C7×Q8—22no—
314C7×Q8—22no—
315C7×Q8—48no—
316C7×Q8—41no—
317C7×Q8—41no—
318C7×Q8—41no—
319C7×Q8—41no—
320C7×Q8C4×D414yes—
321C2×C4×C7—22no—
322C2×C4×C7—22no—
323C2×C4×C7—21no—
324C2×C4×C7—22no—
325C2×C4×C7—21no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—22no—
329C2×C4×C7—22no—
330C2×C4×C7—22no—
331C2×C4×C7—22no—
332C2×C4×C7—22no—
333C2×C4×C7—48no—
334C2×C4×C7—41no—
335C2×C4×C7—41no—
336C2×C4×C7—41no—
337C2×C4×C7—41no—
338C2×C4×C7—41no—
339C2×C4×C7—41no—
340C2×C4×C7C4×D412yes—
341C2×C4×C7C23×C411yescharacteristic
342C2×C4×C7C22×D411yescharacteristic
343C2×C4×C7C2×#4111yescharacteristic
344C2×C4×C7C2×#4111yescharacteristic
345C2×C4×C7H(5,𝔽2)11yescharacteristic
346C2×C4×C7H(5,𝔽2)11yescharacteristic
347C2×Dic7—21no—
348C2×Dic7—21no—
349C2×Dic7—22no—
350C2×Dic7—21no—
351C2×Dic7—21no—
352C2×Dic7—21no—
353C2×Dic7—21no—
354C2×Dic7—21no—
355C2×Dic7—21no—
356C2×Dic7—21no—
357C2×Dic7—21no—
358C2×Dic7—21no—
359C2×Dic7—21no—
360C2×Dic7—41no—
361C2×Dic7—41no—
362C2×Dic7—41no—
363C2×Dic7—41no—
364C2×Dic7—41no—
365C2×Dic7—41no—
366C2×Dic7—41no—
367C2×Dic7—41no—
368C2×Dic7—41no—
369C2×Dic7—41no—
370C2×Dic7—41no—
371C2×Dic7—84no—
372C7×C8—22no—
373C7×C8—22no—
374C7⋊C8—22no—
375C7⋊C8—41no—
376C22×Q8—21no—
377C22×Q8—22no—
378C22×Q8—22no—
379C22×Q8—22no—
380C22×Q8—41no—
381C22×Q8—41no—
382C22×Q8C2×Dic714yes—
383C22×Q8C22×D711yescharacteristic
384C22×Q8C22×D711yescharacteristic
385C22×Q8C22×D711yescharacteristic
386C23×C4—21no—
387C23×C4—141no—
388C23×C4C22×D711yescharacteristic
389C2×Q16—22no—
390C2×Q16—22no—
391C2×Q16—41no—
392C2×Q16—41no—
393C2×Q16C2×Dic714yescomplemented
394C2×Q16C2×Dic714yescomplemented
395C22×C8—71no—
396C22×C8—71no—
397C22×C8—142no—
398C22×C8—142no—
399C22×C8—281no—
400C22×C8C22×D711yescharacteristic
401C22×C8C22×D711yescharacteristic
402C22⋊Q8—22no—
403C22⋊Q8C2×Dic714yes—
404C4×Q8—142no—
405C4×Q8—142no—
406C4×Q8—142no—
407C4×Q8—281no—
408C4×Q8—281no—
409C4×Q8—281no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—71no—
412C2×C4⋊C4—71no—
413C2×C4⋊C4—71no—
414C2×C4⋊C4—71no—
415C2×C4⋊C4—142no—
416C2×C4⋊C4—141no—
417C2×C4⋊C4—141no—
418C2×C4⋊C4—141no—
419C2×C4⋊C4—141no—
420C2×C4⋊C4—141no—
421C2×C4⋊C4—281no—
422C2×C4⋊C4C22×D711yescharacteristic
423C2×C22⋊C4—21no—
424C2×C22⋊C4—71no—
425C2×C22⋊C4—71no—
426C2×C22⋊C4—141no—
427C2×C42—71no—
428C2×C42—71no—
429C2×C42—141no—
430C2×C42—141no—
431C2×C42—141no—
432C2×C42—141no—
433#106—142no—
434#106—281no—
435#103—74no—
436#103—142no—
437#103—142no—
438#103—142no—
439#103—142no—
440#103—281no—
441#103C2×Dic714yescomplemented
442#103C2×Dic714yescomplemented
443C22⋊C8C2×Dic714yes—
444#97—142no—
445#97—281no—
446#95—71no—
447#95—71no—
448#95—141no—
449#95—141no—
450#95—141no—
451#95—141no—
452#95—141no—
453#95—141no—
454#95—141no—
455#95—141no—
456#95—141no—
457C22×C7—22no—
458C22×C7—22no—
459C22×C7—22no—
460C22×C7—22no—
461C22×C7—22no—
462C22×C7—22no—
463C22×C7#44114yescomplemented
464C22×C7C2×C4×D411yescharacteristic
465C22×C7D4211yescharacteristic
466C22×C7#54611yescharacteristic
467C22×C7C2×#13711yescharacteristic
468C22×C7C2×#13711yescharacteristic
469C22×C7#57711yescharacteristic
470C22×C7#57811yescharacteristic
471C4×C7—22no—
472C4×C7—24no—
473C4×C7—42no—
474C4×C7—42no—
475C4×C7—42no—
476C4×C7C2×C4×D411yescharacteristic
477C4×C7#51811yescharacteristic
478C4×C7#54611yescharacteristic
479C4×C7#55111yescharacteristic
480Dic7—41no—
481Dic7—42no—
482Dic7—41no—
483Dic7—41no—
484Dic7—41no—
485Dic7—81no—
486Dic7—81no—
487Dic7—81no—
488C24D4×D711yescharacteristic
489C2×Q8—24no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—28no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—42no—
505C2×Q8—42no—
506C2×Q8—44no—
507C2×Q8—44no—
508C2×Q8—44no—
509C2×Q8D4×D712yes—
510C2×Q8#115912yes—
511C2×Q8C22×Dic712yes—
512C2×Q8C22×Dic712yes—
513C2×Q8C22×Dic712yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—24no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—71no—
526C22×C4—71no—
527C22×C4—71no—
528C22×C4—71no—
529C22×C4—141no—
530C22×C4—141no—
531C22×C4—141no—
532C22×C4—141no—
533C22×C4—282no—
534C22×C4—282no—
535C22×C4—561no—
536C22×C4D4×D711yescharacteristic
537C22×C4#115912yes—
538C22×C4C22×Dic712yes—
539C22×C4C23×D711yescharacteristic
540Q16—28no—
541Q16—44no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—72no—
547C2×C8—141no—
548C2×C8—141no—
549C2×C8—141no—
550C2×C8—141no—
551C2×C8—141no—
552C2×C8—284no—
553C2×C8C22×Dic712yes—
554C2×C8C22×Dic712yes—
555C4⋊C4—24no—
556C4⋊C4—21no—
557C4⋊C4—72no—
558C4⋊C4—141no—
559C4⋊C4—141no—
560C4⋊C4—141no—
561C4⋊C4—141no—
562C4⋊C4—141no—
563C4⋊C4—141no—
564C4⋊C4—141no—
565C4⋊C4—282no—
566C4⋊C4—282no—
567C4⋊C4—282no—
568C4⋊C4—282no—
569C4⋊C4—561no—
570C4⋊C4C22×Dic712yes—
571C22⋊C4—24no—
572C22⋊C4—142no—
573C22⋊C4—142no—
574C22⋊C4—282no—
575C42—141no—
576C42—141no—
577C42—141no—
578C42—141no—
579C42—282no—
580C42—282no—
581C42—282no—
582C42—561no—
583C2×C7—24no—
584C2×C7#235811yescharacteristic
585C2×C7C2×#44111yescharacteristic
586C2×C7#294711yescharacteristic
587C2×C7#326611yescharacteristic
588C2×C7#327011yescharacteristic
589C2×C7#331211yescharacteristic
590C2×C7#331611yescharacteristic
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23#648112yes—
596C23#648112yes—
597C23D4×Dic712yes—
598C23C2×D4×D711yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—22no—
602Q8—22no—
603Q8—22no—
604Q8—22no—
605Q8—22no—
606Q8—48no—
607Q8—41no—
608Q8—41no—
609Q8—41no—
610Q8—41no—
611Q8D4×Dic714yes—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—48no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—141no—
632C2×C4—141no—
633C2×C4—141no—
634C2×C4—141no—
635C2×C4—141no—
636C2×C4—141no—
637C2×C4—141no—
638C2×C4—141no—
639C2×C4—141no—
640C2×C4—141no—
641C2×C4—142no—
642C2×C4—141no—
643C2×C4—141no—
644C2×C4—281no—
645C2×C4—281no—
646C2×C4—281no—
647C2×C4—281no—
648C2×C4—281no—
649C2×C4—281no—
650C2×C4—281no—
651C2×C4—281no—
652C2×C4—281no—
653C2×C4—281no—
654C2×C4—281no—
655C2×C4—564no—
656C2×C4D4×Dic712yes—
657C2×C4C2×D4×D711yescharacteristic
658C2×C4C2×#115911yescharacteristic
659C2×C4C2×#115911yescharacteristic
660C2×C4#654811yescharacteristic
661C2×C4#654811yescharacteristic
662C2×C4C23×Dic711yescharacteristic
663C8—22no—
664C8—22no—
665C8—142no—
666C8—281no—
667C7#2285911yescharacteristic, complemented, Sylow
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#8995614yescomplemented
675C22#9028111yescharacteristic
676C22#9028211yescharacteristic
677C22C2×#648111yescharacteristic
678C22C2×#648111yescharacteristic
679C22#9046911yescharacteristic
680C22#9047011yescharacteristic
681C22C2×D4×Dic711yescharacteristic
682C4—22no—
683C4—24no—
684C4—42no—
685C4—42no—
686C4—42no—
687C4—281no—
688C4—281no—
689C4—281no—
690C4—282no—
691C4—281no—
692C4—561no—
693C4—561no—
694C4—561no—
695C4#9027811yescharacteristic
696C4#9028211yescharacteristic
697C4C2×D4×Dic711yescharacteristic
698C4#9048911yescharacteristic
699C2—24no—
700C2#1173764011yescharacteristic
701C2#1173764311yescharacteristic
702C2#1173764911yescharacteristic
703C2#1173765311yescharacteristic
704C2#1174002411yescharacteristic
705C2C2×#8995611yescharacteristic
706C2#1174141011yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC2×C7×#451C2
socleC23×C7C22×D4
prime radicalC24×C7C2×D4
cosocleC22×C4×C7C24
hypercenterC2×#451D7
hypocenterC7#22859
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#451

Complements

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

NH ≅ G/Ntype
4. C2×#89956C2semidirect
6. #11729821C2semidirect
7. #11729819C2semidirect
8. #11729819C2semidirect
10. #11728009C2semidirect
11. #11727992C2semidirect
12. #11727977C2semidirect
13. #11727974C2semidirect
25. C7×#451C4semidirect
80. C2×C7×Q16C2×C4semidirect
81. C2×C7×Q16C2×C4semidirect
120. C7×#103C2×C4semidirect
121. C7×#103C2×C4semidirect
263. #451Dic7semidirect
393. C2×Q16C2×Dic7semidirect
394. C2×Q16C2×Dic7semidirect
441. #103C2×Dic7semidirect
442. #103C2×Dic7semidirect
463. C22×C7#441semidirect
667. C7#22859semidirect
674. C22#89956semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#4512
Q8×C22⋊Dic72
C22×#64092
C2×#899562
#117401922
#117298212
#117298192
#117294502
#117280092
#117279922
#117279772
#117279742
#117277022
#117276822
#228597