Finite Group Databasebeta

← #13358933

Subgroups — #13358933

Order 1792.

1150 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90334C211yesmaximal, characteristic
2#11739589C211yesmaximal, characteristic, complemented
3C2×#89492C211yesmaximal, characteristic, complemented
4C7×#1872C211yesmaximal, characteristic, complemented
5#11729447C211yesmaximal, characteristic, complemented
6#11729314C211yesmaximal, characteristic
7#11727984C211yesmaximal, characteristic, complemented
8#11727984C211yesmaximal, characteristic, complemented
9#11727974C211yesmaximal, characteristic, complemented
10Dic7×#103C211yesmaximal, characteristic, complemented
11#11727687C211yesmaximal, characteristic
12#11726554C211yesmaximal, characteristic, complemented
13#11726553C211yesmaximal, characteristic, complemented
14#11726536C211yesmaximal, characteristic, complemented
15#11726534C211yesmaximal, characteristic, complemented
16C2×C7×C22⋊Q8C2211yescharacteristic
17C22×C7×C4⋊C4C2211yescharacteristic
18C2×#6510C2211yescharacteristic
19C2×Q8×Dic7C2211yescharacteristic
20C2×#6493C2211yescharacteristic
21C2×#6489C2211yescharacteristic
22C2×#6489C2211yescharacteristic
23#90334—24no—
24#90334C418yescomplemented
25C2×#6461—21no—
26C2×#6460—21no—
27C2×#6456C2211yescharacteristic
28C2×#6451C2211yescharacteristic
29C2×#6448—21no—
30C2×#6446—21no—
31C2×C7×#103C2211yescharacteristic
32C2×C7×#103C2211yescharacteristic
33C2×C7×C22⋊C8C2211yescharacteristic
34C2×#6409C2211yescharacteristic
35C2×#6409C2211yescharacteristic
36C4×C22⋊Dic7—21no—
37C4×C22⋊Dic7—21no—
38C2×C22⋊(C7⋊C8)C2211yescharacteristic
39C2×#6395C2211yescharacteristic
40C2×#6395C2211yescharacteristic
41C2×#6389C2211yescharacteristic
42C2×Dic7⋊C8C2211yescharacteristic
43C2×Dic7⋊C8C2211yescharacteristic
44C2×C8×Dic7C2211yescharacteristic
45C4⋊C4×Dic7—21no—
46C4⋊C4×Dic7—21no—
47C4⋊C4×Dic7C2211yescharacteristic
48C4⋊C4×Dic7C2211yescharacteristic
49C4⋊C4×Dic7C2211yescharacteristic
50C4⋊C4×Dic7C2211yescharacteristic
51C2×#6383C2211yescharacteristic
52C2×#6383C2211yescharacteristic
53#89492—24no—
54C7×#340C2211yescharacteristic
55C7×#340C2211yescharacteristic
56#89346C2211yescharacteristic
57#89346C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#21397—71nomaximal, Sylow
63C22×C7×Q8C2311yescharacteristic
64C23×C4×C7—21no—
65C23×C4×C7C2311yescharacteristic
66C22×C22⋊D7—21no—
67C22×D28C2311yescharacteristic
68C22×C4×D7—21no—
69C22×Dic14—21no—
70C22×C7×C8C2311yescharacteristic
71C22×C7×C8C2311yescharacteristic
72C7×C22⋊Q8—22no—
73C7×C22⋊Q8C2×C414yes—
74C2×C7×C4⋊C4—21no—
75C2×C7×C4⋊C4—21no—
76C2×C7×C4⋊C4—22no—
77C2×C7×C4⋊C4—22no—
78C2×C7×C4⋊C4C2311yescharacteristic
79C2×C7×C4⋊C4C2311yescharacteristic
80C2×C7×C4⋊C4C2311yescharacteristic
81C2×C7×C22⋊C4—21no—
82C2×C22⋊Dic7—21no—
83C2×C22⋊Dic7D411yescharacteristic
84C2×C22⋊Dic7D411yescharacteristic
85#6510—22no—
86#6510C2×C414yescomplemented
87Q8×Dic7—22no—
88Q8×Dic7C2×C414yescomplemented
89#6493—22no—
90#6493C2×C414yes—
91C2×(C2×D7)⋊C4—21no—
92C2×(C2×D7)⋊C4—21no—
93C2×(C2×D7)⋊C4—21no—
94C2×(C2×D7)⋊C4—21no—
95#6489—22no—
96#6489—22no—
97#6489C2×C414yes—
98#6489D414yes—
99C2×C4⋊Dic7—21no—
100C2×C4⋊Dic7D411yescharacteristic
101C2×C4⋊Dic7D411yescharacteristic
102C2×C4⋊Dic7C2311yescharacteristic
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4⋊Dic7C2311yescharacteristic
105C2×Dic7⋊C4—21no—
106C2×C4×Dic7—21no—
107C2×C4×Dic7—21no—
108C2×C4×Dic7—21no—
109C2×C4×Dic7—21no—
110C2×C4×Dic7—21no—
111C2×C4×Dic7—21no—
112C2×C4×Dic7C2311yescharacteristic
113C2×C4×Dic7C2311yescharacteristic
114C22×C7⋊C8C2311yescharacteristic
115C22×C7⋊C8C2311yescharacteristic
116#6461—28no—
117#6460—28no—
118#6456—22no—
119#6456C2×C414yescomplemented
120#6451—22no—
121#6451C2×C414yescomplemented
122#6448—28no—
123#6446—28no—
124C7×#103—22no—
125C7×#103—22no—
126C7×C22⋊C8—22no—
127#6409—22no—
128#6409—22no—
129C7⋊#95—21no—
130C7⋊#95—21no—
131C7⋊#95—21no—
132C7⋊#95—21no—
133C22⋊(C7⋊C8)—22no—
134#6395—22no—
135#6395—22no—
136#6389—22no—
137Dic7⋊C8—22no—
138Dic7⋊C8—22no—
139C8×Dic7—22no—
140#6383—22no—
141#6383—22no—
142C2×#542—71no—
143C2×#433—71no—
144#2274—71no—
145#1988—71no—
146#1987—71no—
147#1983—71no—
148#1983—71no—
149#1875—71no—
150#1874—71no—
151#1873—71no—
152#1872D711yescharacteristic, complemented
153#1763—71no—
154#1762—71no—
155C4×#103—71no—
156C4×#102—71no—
157C24×C7C2×D411yescharacteristic
158C23×D7—21no—
159C2×C7×Q8—21no—
160C2×C7×Q8—21no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—21no—
164C2×C7×Q8C22×C412yes—
165C22×C4×C7—21no—
166C22×C4×C7—21no—
167C22×C4×C7—21no—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7—21no—
171C22×C4×C7—21no—
172C22×C4×C7—21no—
173C22×C4×C7—24no—
174C22×C4×C7—81no—
175C22×C4×C7—81no—
176C22×C4×C7C22×C412yes—
177C22×C4×C7C2×D411yescharacteristic
178C22×C4×C7C2×D412yes—
179C22×C4×C7C2411yescharacteristic
180C2×C22⋊D7—24no—
181C2×C22⋊D7—81no—
182C2×C22⋊D7—81no—
183C22×Dic7—21no—
184C22×Dic7—21no—
185C22×Dic7—21no—
186C22×Dic7C2×D411yescharacteristic
187C22×Dic7C2×D411yescharacteristic
188C22×Dic7C2×D411yescharacteristic
189C22×Dic7C2×D411yescharacteristic
190C2×D28—21no—
191C2×D28—21no—
192C2×D28—21no—
193C2×D28—21no—
194C2×D28—21no—
195C2×D28C22×C412yes—
196C2×C4×D7—24no—
197C2×C4×D7—81no—
198C2×C4×D7—81no—
199C2×Dic14—24no—
200C2×Dic14—81no—
201C2×Dic14—81no—
202C2×C7×C8—21no—
203C2×C7×C8—21no—
204C2×C7×C8—21no—
205C2×C7×C8—21no—
206C2×C7×C8—21no—
207C2×C7×C8—21no—
208C7×C4⋊C4—24no—
209C7×C4⋊C4—24no—
210C7×C4⋊C4—21no—
211C7×C4⋊C4—21no—
212C7×C4⋊C4—21no—
213C7×C4⋊C4C22×C412yes—
214C7×C4⋊C4#4112yes—
215C7×C4⋊C4#4112yes—
216C7×C22⋊C4—24no—
217C22⋊Dic7—24no—
218C22⋊Dic7C22⋊C414yes—
219C22⋊Dic7C22⋊C414yes—
220(C2×D7)⋊C4—24no—
221(C2×D7)⋊C4—24no—
222(C2×D7)⋊C4—24no—
223(C2×D7)⋊C4—24no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7—24no—
228C4⋊Dic7C22⋊C414yes—
229C4⋊Dic7C22⋊C414yes—
230C4⋊Dic7C22×C412yes—
231C4⋊Dic7#4112yes—
232C4⋊Dic7#4112yes—
233Dic7⋊C4—24no—
234C4×Dic7—24no—
235C4×Dic7—24no—
236C4×Dic7—81no—
237C4×Dic7—81no—
238C4×Dic7—81no—
239C4×Dic7—81no—
240C4×Dic7C22×C412yes—
241C4×Dic7C22×C412yes—
242C4×Dic7C2×D412yes—
243C4×Dic7C2×D412yes—
244C2×C7⋊C8—21no—
245C2×C7⋊C8—21no—
246C2×C7⋊C8—21no—
247C2×C7⋊C8—21no—
248C2×C7⋊C8—21no—
249C2×C7⋊C8—21no—
250#542—78no—
251#542—144no—
252C2×C4⋊Q8—71no—
253C2×#126—141no—
254C2×#124—71no—
255C2×#124—141no—
256C2×#123—141no—
257C2×C22⋊Q8—141no—
258C2×C22⋊Q8C2×D711yescharacteristic
259C2×#121—71no—
260C2×C4×Q8—71no—
261C2×C4×D4—71no—
262C2×#117—71no—
263C2×#117—71no—
264C22×C4⋊C4C2×D711yescharacteristic
265#433—144no—
266C2×C4⋊C8—71no—
267C2×C4⋊C8—71no—
268C2×#103—71no—
269C2×#103—71no—
270C2×#103C2×D711yescharacteristic
271C2×#103C2×D711yescharacteristic
272C2×#102—71no—
273C2×#102—71no—
274C2×#102—71no—
275C2×#102—71no—
276C2×C22⋊C8—71no—
277C2×C22⋊C8C2×D711yescharacteristic
278C2×#97—71no—
279C2×C4×C8—71no—
280C4×C4⋊C4—71no—
281C4×C4⋊C4—71no—
282C4×C4⋊C4—71no—
283C4×C4⋊C4—71no—
284C4×C4⋊C4—141no—
285C4×C4⋊C4—141no—
286C4×C22⋊C4—141no—
287C4×C22⋊C4—141no—
288#340—71no—
289#340—71no—
290#340—71no—
291#340—71no—
292#340—71no—
293#340—71no—
294#340C2×D711yescharacteristic
295#340C2×D711yescharacteristic
296C23×C7—21no—
297C23×C7—21no—
298C23×C7—21no—
299C23×C7—21no—
300C23×C7—21no—
301C23×C7—21no—
302C23×C7C2×C22⋊C412yes—
303C23×C7C22×D411yescharacteristic
304C22×D7—22no—
305C22×D7—41no—
306C22×D7—41no—
307C22×D7—41no—
308C22×D7—41no—
309C22×D7—41no—
310C22×D7—41no—
311C7×Q8—22no—
312C7×Q8—22no—
313C7×Q8—41no—
314C7×Q8—41no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—22no—
318C2×C4×C7—22no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—22no—
322C2×C4×C7—22no—
323C2×C4×C7—22no—
324C2×C4×C7—22no—
325C2×C4×C7—41no—
326C2×C4×C7—41no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—41no—
330C2×C4×C7—41no—
331C2×C4×C7—41no—
332C2×C4×C7—41no—
333C2×C4×C7—84no—
334C2×C4×C7C2×C22⋊C412yes—
335C2×C4×C7C23×C411yescharacteristic
336C2×C4×C7C22×D411yescharacteristic
337C2×C4×C7C2×#4111yescharacteristic
338C2×C4×C7C2×#4111yescharacteristic
339C2×C4×C7C2×#4111yescharacteristic
340C2×C4×C7C2×#4111yescharacteristic
341C22⋊D7—84no—
342C2×Dic7—21no—
343C2×Dic7—21no—
344C2×Dic7—21no—
345C2×Dic7—21no—
346C2×Dic7—21no—
347C2×Dic7—21no—
348C2×Dic7—21no—
349C2×Dic7—21no—
350C2×Dic7—22no—
351C2×Dic7—22no—
352C2×Dic7—22no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—41no—
356C2×Dic7—41no—
357C2×Dic7—41no—
358C2×Dic7—41no—
359C2×Dic7C2×C22⋊C412yes—
360C2×Dic7C2×C22⋊C412yes—
361C2×Dic7C2×C22⋊C412yes—
362C2×Dic7C2×C22⋊C412yes—
363D28—22no—
364D28—22no—
365D28—41no—
366D28—41no—
367C4×D7—84no—
368Dic14—84no—
369C7×C8—41no—
370C7×C8—41no—
371C7⋊C8—41no—
372C7⋊C8—41no—
373C22×Q8—141no—
374C22×Q8C22×D711yescharacteristic
375C22×D4—71no—
376C22×D4—141no—
377C23×C4—21no—
378C23×C4—141no—
379C23×C4C22×D711yescharacteristic
380C22×C8—71no—
381C22×C8—71no—
382C22×C8C22×D711yescharacteristic
383C22×C8C22×D711yescharacteristic
384C4⋊Q8—74no—
385C4⋊Q8—142no—
386#126—148no—
387#124—74no—
388#124—142no—
389#124—148no—
390#123—148no—
391C22⋊Q8—22no—
392C22⋊Q8—148no—
393C22⋊Q8C4×D714yes—
394#121—74no—
395#121—142no—
396C4×Q8—74no—
397C4×Q8—142no—
398C4×D4—74no—
399C4×D4—142no—
400#117—74no—
401#117—74no—
402#117—142no—
403#117—142no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—22no—
408C2×C4⋊C4—71no—
409C2×C4⋊C4—71no—
410C2×C4⋊C4—71no—
411C2×C4⋊C4—71no—
412C2×C4⋊C4—71no—
413C2×C4⋊C4—141no—
414C2×C4⋊C4—141no—
415C2×C4⋊C4C22×D711yescharacteristic
416C2×C4⋊C4C22×D711yescharacteristic
417C2×C4⋊C4C22×D711yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—71no—
420C2×C22⋊C4—71no—
421C2×C22⋊C4—141no—
422C2×C22⋊C4—141no—
423C2×C22⋊C4—141no—
424C2×C22⋊C4—141no—
425C2×C22⋊C4—141no—
426C2×C42—71no—
427C2×C42—71no—
428C2×C42—141no—
429C2×C42—141no—
430C2×C42—141no—
431C2×C42—141no—
432C2×C42—141no—
433C2×C42—141no—
434C4⋊C8—142no—
435C4⋊C8—142no—
436#103—22no—
437#103—22no—
438#103—142no—
439#103—142no—
440#102—142no—
441#102—142no—
442#102—142no—
443#102—142no—
444C22⋊C8—22no—
445C22⋊C8—142no—
446#97—142no—
447C4×C8—142no—
448#95—141no—
449#95—141no—
450#95—141no—
451#95—141no—
452C22×C7—22no—
453C22×C7—22no—
454C22×C7—22no—
455C22×C7—41no—
456C22×C7—41no—
457C22×C7—41no—
458C22×C7—41no—
459C22×C7C22×C22⋊C411yescharacteristic
460C22×C7#52511yescharacteristic
461C22×C7#52511yescharacteristic
462C22×C7#57611yescharacteristic
463C22×C7#57711yescharacteristic
464C22×C7#57711yescharacteristic
465C22×C7#57811yescharacteristic
466C2×D7—42no—
467C2×D7—42no—
468C2×D7—42no—
469C2×D7—81no—
470C2×D7—81no—
471C2×D7—81no—
472C2×D7—81no—
473C4×C7—22no—
474C4×C7—42no—
475C4×C7—42no—
476C4×C7—42no—
477C4×C7—42no—
478C4×C7C4×#4111yescharacteristic
479C4×C7C4×#4111yescharacteristic
480C4×C7#53211yescharacteristic
481C4×C7#53211yescharacteristic
482Dic7—22no—
483Dic7—22no—
484Dic7—22no—
485Dic7—22no—
486Dic7—42no—
487Dic7—42no—
488Dic7—42no—
489C24—141no—
490C24D4×D711yescharacteristic
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—144no—
497C2×Q8—561no—
498C2×Q8—561no—
499C2×Q8C2×C4×D712yes—
500C2×D4—72no—
501C2×D4—144no—
502C2×D4—141no—
503C2×D4—141no—
504C2×D4—141no—
505C2×D4—141no—
506C2×D4—141no—
507C2×D4—561no—
508C2×D4—561no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—24no—
518C22×C4—71no—
519C22×C4—71no—
520C22×C4—71no—
521C22×C4—71no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4—144no—
525C22×C4—141no—
526C22×C4—141no—
527C22×C4—141no—
528C22×C4—561no—
529C22×C4—561no—
530C22×C4C2×C4×D712yes—
531C22×C4D4×D711yescharacteristic
532C22×C4D4×D712yes—
533C22×C4C23×D711yescharacteristic
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—141no—
541C2×C8—141no—
542C2×C8—141no—
543C2×C8—141no—
544C2×C8—141no—
545C2×C8—141no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—74no—
552C4⋊C4—74no—
553C4⋊C4—72no—
554C4⋊C4—72no—
555C4⋊C4—72no—
556C4⋊C4—144no—
557C4⋊C4—144no—
558C4⋊C4—141no—
559C4⋊C4—141no—
560C4⋊C4—141no—
561C4⋊C4C2×C4×D712yes—
562C4⋊C4#115912yes—
563C4⋊C4#115912yes—
564C22⋊C4—24no—
565C22⋊C4—74no—
566C22⋊C4—74no—
567C22⋊C4—144no—
568C22⋊C4—144no—
569C22⋊C4—144no—
570C22⋊C4—144no—
571C22⋊C4—144no—
572C42—72no—
573C42—72no—
574C42—72no—
575C42—72no—
576C42—144no—
577C42—144no—
578C42—561no—
579C42—561no—
580C42—561no—
581C42—561no—
582C2×C7—42no—
583C2×C7#229711yescharacteristic
584C2×C7#289711yescharacteristic
585C2×C7#289811yescharacteristic
586C2×C7#311811yescharacteristic
587C2×C7#312111yescharacteristic
588C2×C7#312411yescharacteristic
589C2×C7#312511yescharacteristic
590D7—82no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—142no—
598C23—281no—
599C23—281no—
600C23—281no—
601C23—281no—
602C23—281no—
603C23—281no—
604C23D7×C22⋊C412yes—
605C23C2×D4×D711yescharacteristic
606Q8—22no—
607Q8—22no—
608Q8—41no—
609Q8—41no—
610Q8—564no—
611D4—142no—
612D4—142no—
613D4—281no—
614D4—281no—
615D4—564no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—72no—
635C2×C4—72no—
636C2×C4—72no—
637C2×C4—72no—
638C2×C4—84no—
639C2×C4—141no—
640C2×C4—141no—
641C2×C4—141no—
642C2×C4—141no—
643C2×C4—141no—
644C2×C4—141no—
645C2×C4—141no—
646C2×C4—141no—
647C2×C4—142no—
648C2×C4—142no—
649C2×C4—142no—
650C2×C4—281no—
651C2×C4—281no—
652C2×C4—281no—
653C2×C4—281no—
654C2×C4—281no—
655C2×C4—281no—
656C2×C4—564no—
657C2×C4D7×C22⋊C412yes—
658C2×C4C22×C4×D711yescharacteristic
659C2×C4C2×D4×D711yescharacteristic
660C2×C4C2×#115911yescharacteristic
661C2×C4C2×#115911yescharacteristic
662C2×C4D7×#4111yescharacteristic
663C2×C4D7×#4111yescharacteristic
664C8—41no—
665C8—41no—
666C8—281no—
667C8—281no—
668C7#2139711yescharacteristic, complemented, Sylow
669C22—22no—
670C22—22no—
671C22—22no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—282no—
677C22—282no—
678C22—282no—
679C22—561no—
680C22—561no—
681C22—561no—
682C22—561no—
683C22C2×D7×C22⋊C411yescharacteristic
684C22#9027711yescharacteristic
685C22#9034711yescharacteristic
686C22#9045311yescharacteristic
687C22#9045711yescharacteristic
688C22#9046511yescharacteristic
689C22#9046911yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—142no—
696C4—142no—
697C4—142no—
698C4—142no—
699C4—282no—
700C4—282no—
701C4—282no—
702C4C4×#115911yescharacteristic
703C4C4×#115911yescharacteristic
704C4#9028711yescharacteristic
705C4#9028711yescharacteristic
706C2—42no—
707C2—562no—
708C2#1173210311yescharacteristic
709C2#1173623511yescharacteristic
710C2#1173632711yescharacteristic
711C2#1173758111yescharacteristic
712C2#1173762111yescharacteristic
713C2#1173886211yescharacteristic
714C2#1173890211yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#1872C2
socleC23×C7C22×D4
prime radicalC2×#6493C22
cosocleC22×C4×C7C24
hypercenter#1872D7
hypocenterC7#21397
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
2. #11739589C2semidirect
3. C2×#89492C2semidirect
4. C7×#1872C2semidirect
5. #11729447C2semidirect
7. #11727984C2semidirect
8. #11727984C2semidirect
9. #11727974C2semidirect
10. Dic7×#103C2semidirect
12. #11726554C2semidirect
13. #11726553C2semidirect
14. #11726536C2semidirect
15. #11726534C2semidirect
24. #90334C4semidirect
86. #6510C2×C4semidirect
88. Q8×Dic7C2×C4semidirect
119. #6456C2×C4semidirect
121. #6451C2×C4semidirect
152. #1872D7semidirect
668. C7#21397semidirect

Maximal subgroups

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

subgroupindex
C2×#903342
#117395892
C2×#894922
C7×#18722
#117294472
#117293142
#117279842
#117279742
Dic7×#1032
#117276872
#117265542
#117265532
#117265362
#117265342
#213977