Finite Group Databasebeta

← #13374124

Subgroups — #13374124

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
1C7×Q8×C22⋊C4C211yesmaximal, characteristic
2C2×#90000C211yesmaximal, characteristic
3C22×#6409C211yesmaximal, characteristic
4C2×#89802C211yesmaximal, characteristic, complemented
5#11730910C211yesmaximal, characteristic
6#11729386C211yesmaximal, characteristic, complemented
7#11729385C211yesmaximal, characteristic, complemented
8#11729383C211yesmaximal, characteristic, complemented
9#11727444C211yesmaximal, characteristic, complemented
10#11727432C211yesmaximal, characteristic, complemented
11#11727429C211yesmaximal, characteristic, complemented
12#11727420C211yesmaximal, characteristic, complemented
13#11727268C211yesmaximal, characteristic
14#11727259C211yesmaximal, characteristic
15#11727201C211yesmaximal, characteristic
16C23×C7×Q8C2211yescharacteristic
17C2×C4×C7×Q8C2211yescharacteristic
18C2×C4×C7×Q8C2211yescharacteristic
19C22×#1144C2211yescharacteristic
20C22×#1144C2211yescharacteristic
21C22×C4⋊Dic7C2211yescharacteristic
22C2×#6487C2211yescharacteristic
23C23×C7⋊C8C2211yescharacteristic
24C2×C4×Dic14C2211yescharacteristic
25C7×#391—21no—
26C7×#391—21no—
27C7×#391C2211yescharacteristic
28C7×#391C2211yescharacteristic
29C7×#380—21no—
30C7×#380C2211yescharacteristic
31C4×C7×C22⋊C4—21no—
32C4×C7×C22⋊C4C2211yescharacteristic
33#90000C418yescomplemented
34C2×#6409—24no—
35C2×#6409C2211yescharacteristic
36C2×#6409C2211yescharacteristic
37C2×#6409C2211yescharacteristic
38C2×#6409C2211yescharacteristic
39C2×#6409C2211yescharacteristic
40C2×#6409C2211yescharacteristic
41C2×C22⋊(C7⋊C8)C2211yescharacteristic
42#89802—24no—
43C2×#6384C2211yescharacteristic
44C2×#6384C2211yescharacteristic
45C2×#6382C2211yescharacteristic
46C2×#6382C2211yescharacteristic
47#89718—21no—
48C22⋊C4×Dic7—21no—
49C4×C4⋊Dic7C2211yescharacteristic
50#89701C2211yescharacteristic
51#89700C2211yescharacteristic
52C2×#6377C2211yescharacteristic
53C2×#6377C2211yescharacteristic
54#89427—21no—
55#89419—21no—
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89319C2211yescharacteristic
61#89319C2211yescharacteristic
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
72C23×C4×C7—21no—
73C23×C4×C7C2311yescharacteristic
74C23×Dic7—21no—
75C22×Dic14C2311yescharacteristic
76C4×C7×Q8—22no—
77C4×C7×Q8—22no—
78C4×C7×Q8—41no—
79C4×C7×Q8—41no—
80C2×C7×C4⋊C4—21no—
81C2×C7×C4⋊C4—21no—
82C2×C7×C4⋊C4C2311yescharacteristic
83C2×C7×C4⋊C4C2311yescharacteristic
84C2×C7×C22⋊C4—21no—
85C2×C7×C22⋊C4D411yescharacteristic
86C2×C7×C22⋊C4D411yescharacteristic
87C2×C42×C7—21no—
88C2×C42×C7—21no—
89C2×C42×C7C2311yescharacteristic
90C2×C42×C7C2311yescharacteristic
91C2×C22⋊Dic7—21no—
92C2×#1144—22no—
93C2×#1144—22no—
94C2×#1144—41no—
95C2×#1144—41no—
96C2×#1144C2×C414yescomplemented
97C2×#1144C2×C414yescomplemented
98C2×C4⋊Dic7—22no—
99C2×C4⋊Dic7—21no—
100C2×C4⋊Dic7—41no—
101C2×C4⋊Dic7C2311yescharacteristic
102C2×C4⋊Dic7C2311yescharacteristic
103C2×C4⋊Dic7C2311yescharacteristic
104#6487—22no—
105#6487C2×C414yes—
106C2×Dic7⋊C4—21no—
107C2×Dic7⋊C4—21no—
108C2×Dic7⋊C4—21no—
109C2×C4×Dic7—21no—
110C2×C4×Dic7—21no—
111C22×C7⋊C8—22no—
112C22×C7⋊C8—22no—
113C22×C7⋊C8—41no—
114C22×C7⋊C8C2311yescharacteristic
115C22×C7⋊C8C2311yescharacteristic
116C22×C7⋊C8C2311yescharacteristic
117C22×C7⋊C8C2311yescharacteristic
118C4×Dic14—22no—
119C4×Dic14—41no—
120C7×#95—21no—
121C7×#95—21no—
122C7×#95—21no—
123C7×#95—21no—
124C7×#95—21no—
125C7×#95D411yescharacteristic
126C7×#95D411yescharacteristic
127#6409—22no—
128#6409—22no—
129#6409—22no—
130#6409C2×C414yescomplemented
131#6409C2×C414yescomplemented
132#6409D414yes—
133C7⋊#95—21no—
134C7⋊#95—21no—
135C7⋊#95—21no—
136C7⋊#95—21no—
137C22⋊(C7⋊C8)C2×C414yes—
138#6384—22no—
139#6384—41no—
140#6382—22no—
141#6382—41no—
142#6377—22no—
143#6377—41no—
144C2×#451—71no—
145C2×#441—71no—
146C22×#103—71no—
147#2360—71no—
148Q8×C22⋊C4D711yescharacteristic
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—28no—
166C2×C7×Q8—21no—
167C2×C7×Q8—21no—
168C2×C7×Q8—21no—
169C2×C7×Q8—21no—
170C2×C7×Q8—42no—
171C2×C7×Q8—42no—
172C2×C7×Q8—44no—
173C2×C7×Q8—44no—
174C2×C7×Q8—44no—
175C2×C7×Q8C22×C412yes—
176C2×C7×Q8C22×C412yes—
177C2×C7×Q8C2×D412yes—
178C2×C7×Q8#4112yes—
179C22×C4×C7—21no—
180C22×C4×C7—21no—
181C22×C4×C7—21no—
182C22×C4×C7—21no—
183C22×C4×C7—21no—
184C22×C4×C7—24no—
185C22×C4×C7—21no—
186C22×C4×C7—21no—
187C22×C4×C7—21no—
188C22×C4×C7—42no—
189C22×C4×C7—42no—
190C22×C4×C7C22×C412yes—
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7C2×D411yescharacteristic
193C22×C4×C7C2×D411yescharacteristic
194C22×C4×C7C2×D411yescharacteristic
195C22×C4×C7C2×D411yescharacteristic
196C22×C4×C7#4112yes—
197C22×C4×C7C2411yescharacteristic
198C22×Dic7—21no—
199C22×Dic7—21no—
200C22×Dic7—21no—
201C22×Dic7—21no—
202C22×Dic7—42no—
203C22×Dic7—42no—
204C22×Dic7—81no—
205C2×Dic14—21no—
206C2×Dic14—21no—
207C2×Dic14—21no—
208C2×Dic14—21no—
209C2×Dic14—21no—
210C2×Dic14C22×C412yes—
211C7×C4⋊C4—21no—
212C7×C4⋊C4—21no—
213C7×C4⋊C4—21no—
214C7×C4⋊C4—21no—
215C7×C4⋊C4—42no—
216C7×C4⋊C4—42no—
217C7×C22⋊C4—22no—
218C7×C22⋊C4—22no—
219C7×C22⋊C4—42no—
220C42×C7—21no—
221C42×C7—21no—
222C42×C7—21no—
223C42×C7—21no—
224C42×C7—42no—
225C42×C7—42no—
226C22⋊Dic7—24no—
227#1144—28no—
228#1144—44no—
229C4⋊Dic7—21no—
230C4⋊Dic7—21no—
231C4⋊Dic7—21no—
232C4⋊Dic7—21no—
233C4⋊Dic7—42no—
234C4⋊Dic7C22×C412yes—
235C4⋊Dic7C2×D412yes—
236Dic7⋊C4—24no—
237Dic7⋊C4—42no—
238Dic7⋊C4—81no—
239C4×Dic7—42no—
240C4×Dic7—81no—
241C2×C7⋊C8—21no—
242C2×C7⋊C8—21no—
243C2×C7⋊C8—21no—
244C2×C7⋊C8—21no—
245C2×C7⋊C8—21no—
246C2×C7⋊C8—21no—
247C2×C7⋊C8—21no—
248C2×C7⋊C8—21no—
249C2×C7⋊C8—21no—
250C2×C7⋊C8—44no—
251C2×C7⋊C8C22×C412yes—
252C2×C7⋊C8C22×C412yes—
253C2×C7⋊C8C2×D412yes—
254C23×Q8C2×D711yescharacteristic
255C22×Q16—71no—
256C22×Q16—71no—
257C23×C8—71no—
258C2×C22⋊Q8—71no—
259C2×C4×Q8—71no—
260C2×C4×Q8C2×D711yescharacteristic
261C2×C4×Q8C2×D711yescharacteristic
262C22×C4⋊C4—71no—
263#451—78no—
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—71no—
274C2×#103—71no—
275C2×#103—144no—
276C2×C22⋊C8—71no—
277C2×#97—71no—
278C2×#97—71no—
279#391—21no—
280#391—21no—
281#391—71no—
282#391C2×D711yescharacteristic
283#391C2×D711yescharacteristic
284#389—71no—
285#389—141no—
286#387—141no—
287#385—141no—
288#380—21no—
289#380C2×D711yescharacteristic
290C4×C4⋊C4—71no—
291C4×C22⋊C4—21no—
292C4×C22⋊C4—141no—
293C4×C22⋊C4C2×D711yescharacteristic
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—48no—
314C7×Q8—41no—
315C7×Q8—41no—
316C7×Q8C4×D414yes—
317C2×C4×C7—22no—
318C2×C4×C7—21no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—21no—
322C2×C4×C7—22no—
323C2×C4×C7—22no—
324C2×C4×C7—22no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7—21no—
328C2×C4×C7—21no—
329C2×C4×C7—21no—
330C2×C4×C7—21no—
331C2×C4×C7—21no—
332C2×C4×C7—21no—
333C2×C4×C7—21no—
334C2×C4×C7—21no—
335C2×C4×C7—21no—
336C2×C4×C7—21no—
337C2×C4×C7—21no—
338C2×C4×C7—21no—
339C2×C4×C7—48no—
340C2×C4×C7—41no—
341C2×C4×C7—41no—
342C2×C4×C7—41no—
343C2×C4×C7—41no—
344C2×C4×C7—41no—
345C2×C4×C7—41no—
346C2×C4×C7—41no—
347C2×C4×C7—41no—
348C2×C4×C7C4×D412yes—
349C2×C4×C7C23×C411yescharacteristic
350C2×C4×C7C22×D411yescharacteristic
351C2×C4×C7C2×#4111yescharacteristic
352C2×C4×C7C2×#4111yescharacteristic
353C2×C4×C7H(5,𝔽2)11yescharacteristic
354C2×C4×C7H(5,𝔽2)11yescharacteristic
355C2×Dic7—22no—
356C2×Dic7—22no—
357C2×Dic7—22no—
358C2×Dic7—41no—
359C2×Dic7—41no—
360C2×Dic7—41no—
361C2×Dic7—41no—
362C2×Dic7—41no—
363C2×Dic7—41no—
364C2×Dic7—41no—
365C2×Dic7—41no—
366C2×Dic7—41no—
367C2×Dic7—84no—
368Dic14—22no—
369Dic14—22no—
370Dic14—41no—
371Dic14—41no—
372C7⋊C8—22no—
373C7⋊C8—22no—
374C7⋊C8—22no—
375C7⋊C8—41no—
376C22×Q8—22no—
377C22×Q8—21no—
378C22×Q8—22no—
379C22×Q8—22no—
380C22×Q8—41no—
381C22×Q8—41no—
382C22×Q8—71no—
383C22×Q8C4×D714yes—
384C22×Q8C22×D711yescharacteristic
385C22×Q8C22×D711yescharacteristic
386C23×C4—21no—
387C23×C4—141no—
388C23×C4C22×D711yescharacteristic
389C2×Q16—74no—
390C2×Q16—74no—
391C2×Q16—142no—
392C2×Q16—142no—
393C2×Q16—281no—
394C2×Q16—281no—
395C22×C8—71no—
396C22×C8—71no—
397C22×C8—71no—
398C22×C8—71no—
399C22×C8—142no—
400C22×C8—142no—
401C22×C8—281no—
402C22⋊Q8—74no—
403C22⋊Q8—142no—
404C4×Q8—22no—
405C4×Q8—22no—
406C4×Q8—41no—
407C4×Q8—41no—
408C4×Q8—142no—
409C4×Q8—281no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
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—281no—
421C2×C4⋊C4C22×D711yescharacteristic
422C2×C4⋊C4C22×D711yescharacteristic
423C2×C22⋊C4—21no—
424C2×C22⋊C4—141no—
425C2×C22⋊C4C22⋊D711yescharacteristic
426C2×C22⋊C4C22⋊D711yescharacteristic
427C2×C42—21no—
428C2×C42—21no—
429C2×C42—141no—
430C2×C42—141no—
431C2×C42C22×D711yescharacteristic
432C2×C42C22×D711yescharacteristic
433#106—142no—
434#106—281no—
435#103—74no—
436#103—74no—
437#103—74no—
438#103—142no—
439#103—142no—
440#103—142no—
441#103—142no—
442#103—281no—
443C22⋊C8—74no—
444#97—142no—
445#97—281no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—141no—
452#95—141no—
453#95—141no—
454#95—141no—
455#95C22⋊D711yescharacteristic
456#95C22⋊D711yescharacteristic
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—41no—
475C4×C7—41no—
476C4×C7—41no—
477C4×C7—41no—
478C4×C7—81no—
479C4×C7—81no—
480C4×C7C2×C4×D411yescharacteristic
481C4×C7#51811yescharacteristic
482C4×C7#54611yescharacteristic
483C4×C7#55111yescharacteristic
484Dic7—42no—
485Dic7—42no—
486Dic7—42no—
487Dic7—81no—
488C24C2×C22⋊D711yescharacteristic
489C2×Q8—24no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—28no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—42no—
500C2×Q8—42no—
501C2×Q8—44no—
502C2×Q8—44no—
503C2×Q8—44no—
504C2×Q8—72no—
505C2×Q8—141no—
506C2×Q8—141no—
507C2×Q8—141no—
508C2×Q8—141no—
509C2×Q8—141no—
510C2×Q8C2×C4×D712yes—
511C2×Q8C2×C4×D712yes—
512C2×Q8D4×D712yes—
513C2×Q8#115912yes—
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—141no—
526C22×C4—141no—
527C22×C4—141no—
528C22×C4—141no—
529C22×C4—282no—
530C22×C4—282no—
531C22×C4—561no—
532C22×C4C2×C4×D712yes—
533C22×C4#115712yes—
534C22×C4C2×C22⋊D711yescharacteristic
535C22×C4C2×C22⋊D711yescharacteristic
536C22×C4C2×C22⋊D711yescharacteristic
537C22×C4C2×C22⋊D711yescharacteristic
538C22×C4C2×C22⋊D711yescharacteristic
539C22×C4C23×D711yescharacteristic
540Q16—148no—
541Q16—284no—
542C2×C8—72no—
543C2×C8—72no—
544C2×C8—72no—
545C2×C8—141no—
546C2×C8—141no—
547C2×C8—141no—
548C2×C8—141no—
549C2×C8—141no—
550C2×C8—141no—
551C2×C8—141no—
552C2×C8—141no—
553C2×C8—141no—
554C2×C8—284no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—72no—
562C4⋊C4—72no—
563C4⋊C4—144no—
564C4⋊C4—141no—
565C4⋊C4—141no—
566C4⋊C4—141no—
567C4⋊C4—141no—
568C4⋊C4—282no—
569C4⋊C4—282no—
570C4⋊C4—561no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—42no—
574C22⋊C4—144no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—21no—
579C42—42no—
580C42—42no—
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—
595C23C4×C22⋊D712yes—
596C23#650512yes—
597C23#651412yes—
598C23C22×C22⋊D711yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—22no—
602Q8—22no—
603Q8—22no—
604Q8—48no—
605Q8—41no—
606Q8—41no—
607Q8—142no—
608Q8—142no—
609Q8—281no—
610Q8—281no—
611Q8(C22⋊D7)⋊C414yes—
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—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—48no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—142no—
644C2×C4—142no—
645C2×C4—142no—
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×C4C4×C22⋊D712yes—
657C2×C4C22×C4×D711yescharacteristic
658C2×C4C2×#115711yescharacteristic
659C2×C4C2×D4×D711yescharacteristic
660C2×C4C2×#115911yescharacteristic
661C2×C4#654811yescharacteristic
662C2×C4#654811yescharacteristic
663C8—142no—
664C8—142no—
665C8—142no—
666C8—281no—
667C7#2285911yescharacteristic, complemented, Sylow
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#8980214yescomplemented
675C22C2×C4×C22⋊D711yescharacteristic
676C22D4×C22⋊D711yescharacteristic
677C22#9049711yescharacteristic
678C22C2×#650511yescharacteristic
679C22C2×#651411yescharacteristic
680C22#9052811yescharacteristic
681C22#9052911yescharacteristic
682C4—22no—
683C4—24no—
684C4—41no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—42no—
689C4—81no—
690C4—81no—
691C4—282no—
692C4—282no—
693C4—282no—
694C4—561no—
695C4C2×(C22⋊D7)⋊C411yescharacteristic
696C4#9017711yescharacteristic
697C4#9018111yescharacteristic
698C4#9018611yescharacteristic
699C2—24no—
700C2#1173954411yescharacteristic
701C2C2×#8980211yescharacteristic
702C2#1173999211yescharacteristic
703C2#1174098311yescharacteristic
704C2#1174099111yescharacteristic
705C2#1174099711yescharacteristic
706C2#1174100411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×Q8×C22⋊C4C2
socleC23×C7C22×D4
prime radicalC24×C7C2×D4
cosocleC22×C4×C7C24
hypercenterQ8×C22⋊C4D7
hypocenterC7#22859
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
4. C2×#89802C2semidirect
6. #11729386C2semidirect
7. #11729385C2semidirect
8. #11729383C2semidirect
9. #11727444C2semidirect
10. #11727432C2semidirect
11. #11727429C2semidirect
12. #11727420C2semidirect
33. #90000C4semidirect
96. C2×#1144C2×C4semidirect
97. C2×#1144C2×C4semidirect
130. #6409C2×C4semidirect
131. #6409C2×C4semidirect
463. C22×C7#441semidirect
667. C7#22859semidirect
674. C22#89802semidirect

Maximal subgroups

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

subgroupindex
C7×Q8×C22⋊C42
C2×#900002
C22×#64092
C2×#898022
#117309102
#117293862
#117293852
#117293832
#117274442
#117274322
#117274292
#117274202
#117272682
#117272592
#117272012
#228597