Finite Group Databasebeta

← C2×#11726508 #13353622

Subgroups — C2×#11726508 #13353622

Order 1792.

1606 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D7×#117C211yesmaximal, characteristic
2C2×#89898C211yesmaximal, characteristic
3C2×C4×(C2×D7)⋊C4C211yesmaximal, characteristic
4C2×C7×#339C211yesmaximal, characteristic, complemented
5C2×#89350C211yesmaximal, characteristic, complemented
6C2×#89327C211yesmaximal, characteristic, complemented
7C2×#89318C211yesmaximal, characteristic, complemented
8#11726508C218yesmaximal, direct product factor
9C23×C4×D7C2211yescharacteristic
10C22×C7×M16C2211yescharacteristic
11C2×C7×#117C2211yescharacteristic
12C22×C42×C7C2211yescharacteristic
13C22×(C2×D7)⋊C4—21no—
14C2×#6489C2211yescharacteristic
15C22×C4×Dic7C2211yescharacteristic
16C22×#1136C2211yescharacteristic
17D7×#117—22no—
18D7×#117—22no—
19D7×#117C414yescomplemented
20D7×#117C2214yes—
21C2×#6455C411yescharacteristic, complemented
22C2×#6455C411yescharacteristic, complemented
23C2×D7×C4⋊C4C411yescharacteristic, complemented
24C2×D7×C4⋊C4C411yescharacteristic, complemented
25C2×D7×C22⋊C4—21no—
26C2×#6440—21no—
27C2×#6435—21no—
28C2×C42×D7—21no—
29C2×C7⋊#95—21no—
30#89898—22no—
31#89898C2214yes—
32C2×(C2×D7)⋊C8—21no—
33C2×(C2×D7)⋊C8—21no—
34C4×(C2×D7)⋊C4—22no—
35C4×(C2×D7)⋊C4C2214yes—
36C7×#339C2214yescomplemented
37#89350C2214yescomplemented
38#89327C2214yescomplemented
39#89318C2214yescomplemented
40C2×#1826—71nomaximal, Sylow
41C24×D7D411yescharacteristic
42C23×C4×C7—21no—
43C23×C4×C7C2311yescharacteristic
44C23×Dic7—21no—
45C23×Dic7D411yescharacteristic
46C22×C4×D7—22no—
47C22×C4×D7—22no—
48C22×C4×D7—22no—
49C22×C4×D7—22no—
50C22×C4×D7—21no—
51C22×C4×D7—21no—
52C22×C4×D7C2×C411yescharacteristic
53C22×C4×D7C2×C411yescharacteristic
54C22×C4×D7C2×C412yes—
55C22×C4×D7D412yes—
56C22×C4×D7D411yescharacteristic
57C22×C4×D7D411yescharacteristic
58C22×C4×D7D412yes—
59C22×C4×D7C2312yes—
60C2×C7×M16—21no—
61C2×C7×M16—22no—
62C2×C7×M16—22no—
63C2×C7×M16C2312yes—
64C22×C7×C8—21no—
65C7×#117—21no—
66C7×#117—21no—
67C7×#117C2×C412yes—
68C7×#117C2312yes—
69C2×C7×C4⋊C4C2×C411yescharacteristic
70C2×C7×C4⋊C4C2×C411yescharacteristic
71C2×C7×C22⋊C4—21no—
72C2×C42×C7—21no—
73C2×C42×C7—22no—
74C2×C42×C7—22no—
75C2×C42×C7—21no—
76C2×C42×C7C2312yes—
77C2×C22⋊Dic7—21no—
78C2×(C2×D7)⋊C4—28no—
79C2×(C2×D7)⋊C4—21no—
80C2×(C2×D7)⋊C4—21no—
81C2×(C2×D7)⋊C4—24no—
82#6489—21no—
83#6489—21no—
84#6489C2×C412yes—
85#6489C2312yes—
86C2×C4⋊Dic7C2×C411yescharacteristic
87C2×C4⋊Dic7C2×C411yescharacteristic
88C2×Dic7⋊C4—21no—
89C2×Dic7⋊C4—21no—
90C2×C4×Dic7—21no—
91C2×C4×Dic7—21no—
92C2×C4×Dic7—21no—
93C2×C4×Dic7—22no—
94C2×C4×Dic7—22no—
95C2×C4×Dic7—21no—
96C2×C4×Dic7C2312yes—
97C2×#1136—21no—
98C2×#1136—22no—
99C2×#1136—22no—
100C2×#1136C2312yes—
101C22×C7⋊C8—21no—
102#6455—22no—
103#6455—22no—
104#6455C2×C414yescomplemented
105#6455C2×C414yescomplemented
106D7×C4⋊C4—22no—
107D7×C4⋊C4—22no—
108D7×C4⋊C4C2×C414yescomplemented
109D7×C4⋊C4C2×C414yescomplemented
110D7×C22⋊C4—24no—
111D7×C22⋊C4—24no—
112#6440—24no—
113#6440—24no—
114#6435—24no—
115#6435—24no—
116C42×D7—24no—
117C42×D7—24no—
118C7⋊#95—24no—
119(C2×D7)⋊C8—24no—
120(C2×D7)⋊C8—24no—
121C22×#117—71no—
122C2×#407—71no—
123C2×C4×C22⋊C4—71no—
124#1826—78no—
125C2×#339—71no—
126C2×#339—71no—
127C2×#339—71no—
128C2×#339D711yescharacteristic, complemented
129C24×C7C2×D411yescharacteristic
130C23×D7—22no—
131C23×D7—22no—
132C23×D7—24no—
133C23×D7—42no—
134C23×D7C22⋊C411yescharacteristic
135C23×D7C22⋊C412yes—
136C23×D7C22⋊C411yescharacteristic
137C23×D7C2×D412yes—
138C22×C4×C7—24no—
139C22×C4×C7—21no—
140C22×C4×C7—21no—
141C22×C4×C7—22no—
142C22×C4×C7—42no—
143C22×C4×C7—42no—
144C22×C4×C7C22×C411yescharacteristic
145C22×C4×C7C22×C411yescharacteristic
146C22×C4×C7C2×D411yescharacteristic
147C22×C4×C7C2×D411yescharacteristic
148C22×C4×C7C2×D411yescharacteristic
149C22×C4×C7#4112yes—
150C22×C4×C7#4112yes—
151C22×C4×C7#4112yes—
152C22×C4×C7#4112yes—
153C22×C4×C7C2411yescharacteristic
154C22×Dic7—22no—
155C22×Dic7—22no—
156C22×Dic7—24no—
157C22×Dic7—21no—
158C22×Dic7—21no—
159C22×Dic7—22no—
160C22×Dic7—42no—
161C22×Dic7—42no—
162C22×Dic7C22⋊C412yes—
163C22×Dic7C22⋊C411yescharacteristic
164C22×Dic7C22⋊C411yescharacteristic
165C22×Dic7C2×D412yes—
166C2×C4×D7—22no—
167C2×C4×D7—22no—
168C2×C4×D7—24no—
169C2×C4×D7—22no—
170C2×C4×D7—22no—
171C2×C4×D7—24no—
172C2×C4×D7—22no—
173C2×C4×D7—22no—
174C2×C4×D7—24no—
175C2×C4×D7—22no—
176C2×C4×D7—22no—
177C2×C4×D7—24no—
178C2×C4×D7—24no—
179C2×C4×D7—24no—
180C2×C4×D7—22no—
181C2×C4×D7—22no—
182C2×C4×D7—22no—
183C2×C4×D7—22no—
184C2×C4×D7—24no—
185C2×C4×D7—24no—
186C2×C4×D7—44no—
187C2×C4×D7—44no—
188C2×C4×D7C22⋊C412yes—
189C2×C4×D7C22⋊C412yes—
190C2×C4×D7C22⋊C412yes—
191C2×C4×D7C22⋊C412yes—
192C2×C4×D7C22×C412yes—
193C2×C4×D7C22×C412yes—
194C2×C4×D7C2×D412yes—
195C2×C4×D7C2×D412yes—
196C7×M16—22no—
197C7×M16—22no—
198C7×M16—42no—
199C2×C7×C8—22no—
200C2×C7×C8—42no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—21no—
203C7×C4⋊C4C22×C412yes—
204C7×C4⋊C4C22×C412yes—
205C7×C22⋊C4—22no—
206C7×C22⋊C4—22no—
207C42×C7—22no—
208C42×C7—22no—
209C42×C7—22no—
210C42×C7—22no—
211C42×C7—42no—
212C22⋊Dic7—22no—
213C22⋊Dic7—22no—
214(C2×D7)⋊C4—216no—
215(C2×D7)⋊C4—24no—
216(C2×D7)⋊C4—24no—
217C4⋊Dic7—21no—
218C4⋊Dic7—21no—
219C4⋊Dic7C22×C412yes—
220C4⋊Dic7C22×C412yes—
221Dic7⋊C4—24no—
222Dic7⋊C4—24no—
223C4×Dic7—22no—
224C4×Dic7—22no—
225C4×Dic7—24no—
226C4×Dic7—24no—
227C4×Dic7—22no—
228C4×Dic7—22no—
229C4×Dic7—42no—
230#1136—22no—
231#1136—22no—
232#1136—42no—
233C2×C7⋊C8—22no—
234C2×C7⋊C8—42no—
235C24×C4—71no—
236C22×M16—71no—
237C22×M16C2×D711yescharacteristic
238C2×#117—71no—
239C2×#117—74no—
240C2×#117—74no—
241C2×#117—71no—
242C2×#117—71no—
243C2×#117—141no—
244C2×#117—141no—
245C2×#117—142no—
246C2×#117—142no—
247C2×#117C2×D711yescharacteristic
248C22×C4⋊C4—71no—
249C22×C4⋊C4—71no—
250C22×C22⋊C4—141no—
251C22×C22⋊C4—141no—
252C22×C42—71no—
253C22×C42—141no—
254C22×C42C2×D711yescharacteristic
255#407—74no—
256#407—142no—
257C2×C22⋊C8—141no—
258C2×C22⋊C8—141no—
259C4×C22⋊C4—74no—
260C4×C22⋊C4—142no—
261C2×#95—141no—
262#339—74no—
263#339—74no—
264#339—74no—
265#339C2×D714yescomplemented
266C23×C7—22no—
267C23×C7—22no—
268C23×C7C2×C22⋊C411yescharacteristic
269C23×C7C2×C22⋊C411yescharacteristic
270C23×C7#12312yes—
271C23×C7#12312yes—
272C23×C7C22×D411yescharacteristic
273C22×D7—22no—
274C22×D7—22no—
275C22×D7—22no—
276C22×D7—22no—
277C22×D7—24no—
278C22×D7—22no—
279C22×D7—22no—
280C22×D7—22no—
281C22×D7—24no—
282C22×D7—24no—
283C22×D7—42no—
284C22×D7—42no—
285C22×D7—48no—
286C22×D7—48no—
287C22×D7#10414yes—
288C22×D7C2×C22⋊C412yes—
289C22×D7C2×C22⋊C412yes—
290C2×C4×C7—24no—
291C2×C4×C7—22no—
292C2×C4×C7—22no—
293C2×C4×C7—48no—
294C2×C4×C7—42no—
295C2×C4×C7—42no—
296C2×C4×C7—42no—
297C2×C4×C7—42no—
298C2×C4×C7C2×C22⋊C411yescharacteristic
299C2×C4×C7C2×C22⋊C411yescharacteristic
300C2×C4×C7#11712yes—
301C2×C4×C7#11712yes—
302C2×C4×C7#11712yes—
303C2×C4×C7#11712yes—
304C2×C4×C7#12312yes—
305C2×C4×C7#12312yes—
306C2×C4×C7#12312yes—
307C2×C4×C7#12312yes—
308C2×C4×C7#12312yes—
309C2×C4×C7#12312yes—
310C2×C4×C7C23×C411yescharacteristic
311C2×C4×C7C22×D411yescharacteristic
312C2×C4×C7C2×#4111yescharacteristic
313C2×C4×C7C2×#4111yescharacteristic
314C2×C4×C7C2×#4111yescharacteristic
315C2×C4×C7C2×#4111yescharacteristic
316C2×Dic7—22no—
317C2×Dic7—22no—
318C2×Dic7—24no—
319C2×Dic7—22no—
320C2×Dic7—22no—
321C2×Dic7—24no—
322C2×Dic7—22no—
323C2×Dic7—22no—
324C2×Dic7—48no—
325C2×Dic7—42no—
326C2×Dic7—42no—
327C2×Dic7—42no—
328C2×Dic7—42no—
329C2×Dic7C2×C22⋊C412yes—
330C2×Dic7C2×C22⋊C412yes—
331C4×D7—22no—
332C4×D7—22no—
333C4×D7—22no—
334C4×D7—22no—
335C4×D7—22no—
336C4×D7—22no—
337C4×D7—22no—
338C4×D7—22no—
339C4×D7—24no—
340C4×D7—24no—
341C4×D7—24no—
342C4×D7—24no—
343C4×D7—48no—
344C4×D7—48no—
345C7×C8—42no—
346C7⋊C8—42no—
347C25—71no—
348C23×C4—21no—
349C23×C4—71no—
350C23×C4—71no—
351C23×C4—71no—
352C23×C4—72no—
353C23×C4—72no—
354C23×C4—72no—
355C23×C4—71no—
356C23×C4—71no—
357C23×C4—72no—
358C23×C4—141no—
359C23×C4—141no—
360C23×C4—142no—
361C23×C4—142no—
362C23×C4—142no—
363C23×C4—142no—
364C23×C4—141no—
365C23×C4C22×D711yescharacteristic
366C2×M16—21no—
367C2×M16—22no—
368C2×M16—22no—
369C2×M16—72no—
370C2×M16—141no—
371C2×M16—142no—
372C2×M16—142no—
373C2×M16C22×D712yes—
374C22×C8—21no—
375C22×C8—141no—
376#117—21no—
377#117—21no—
378#117—72no—
379#117—72no—
380#117—74no—
381#117—74no—
382#117—144no—
383#117—144no—
384#117—144no—
385#117—144no—
386#117—142no—
387#117—142no—
388#117—141no—
389#117—141no—
390#117C4×D712yes—
391#117C22×D712yes—
392C2×C4⋊C4—71no—
393C2×C4⋊C4—71no—
394C2×C4⋊C4—74no—
395C2×C4⋊C4—74no—
396C2×C4⋊C4—142no—
397C2×C4⋊C4—142no—
398C2×C4⋊C4—141no—
399C2×C4⋊C4—141no—
400C2×C4⋊C4C4×D711yescharacteristic
401C2×C4⋊C4C4×D711yescharacteristic
402C2×C22⋊C4—21no—
403C2×C22⋊C4—144no—
404C2×C22⋊C4—144no—
405C2×C22⋊C4—141no—
406C2×C22⋊C4—141no—
407C2×C22⋊C4—144no—
408C2×C22⋊C4—148no—
409C2×C22⋊C4—141no—
410C2×C42—21no—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—21no—
414C2×C42—72no—
415C2×C42—144no—
416C2×C42—144no—
417C2×C42—141no—
418C2×C42—141no—
419C2×C42—141no—
420C2×C42—142no—
421C2×C42—142no—
422C2×C42—141no—
423C2×C42C22×D712yes—
424C22⋊C8—144no—
425C22⋊C8—144no—
426#95—144no—
427C22×C7—24no—
428C22×C7—24no—
429C22×C7—21no—
430C22×C7—21no—
431C22×C7—21no—
432C22×C7—21no—
433C22×C7#38112yes—
434C22×C7#38112yes—
435C22×C7C2×#10412yes—
436C22×C7#42112yes—
437C22×C7C22×C22⋊C411yescharacteristic
438C22×C7C2×#12311yescharacteristic
439C22×C7C2×#12311yescharacteristic
440C2×D7—28no—
441C2×D7—22no—
442C2×D7—22no—
443C2×D7—22no—
444C2×D7—22no—
445C2×D7—22no—
446C2×D7—44no—
447C2×D7—44no—
448C2×D7—48no—
449C2×D7—44no—
450C2×D7C2×#10414yes—
451C4×C7—44no—
452C4×C7—42no—
453C4×C7—42no—
454C4×C7#38112yes—
455C4×C7#38112yes—
456C4×C7C2×#11711yescharacteristic
457C4×C7C2×#11711yescharacteristic
458C4×C7C2×#12311yescharacteristic
459C4×C7C2×#12311yescharacteristic
460Dic7—22no—
461Dic7—22no—
462Dic7—44no—
463Dic7—42no—
464Dic7—42no—
465C24—71no—
466C24—71no—
467C24—72no—
468C24—72no—
469C24—144no—
470C24—142no—
471C24—142no—
472C24—282no—
473C24D4×D711yescharacteristic
474C22×C4—24no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—71no—
481C22×C4—71no—
482C22×C4—72no—
483C22×C4—72no—
484C22×C4—72no—
485C22×C4—72no—
486C22×C4—72no—
487C22×C4—72no—
488C22×C4—72no—
489C22×C4—72no—
490C22×C4—72no—
491C22×C4—72no—
492C22×C4—144no—
493C22×C4—144no—
494C22×C4—142no—
495C22×C4—142no—
496C22×C4—142no—
497C22×C4—144no—
498C22×C4—142no—
499C22×C4—144no—
500C22×C4—142no—
501C22×C4—142no—
502C22×C4—144no—
503C22×C4—142no—
504C22×C4—144no—
505C22×C4—142no—
506C22×C4—144no—
507C22×C4—142no—
508C22×C4—142no—
509C22×C4—144no—
510C22×C4—142no—
511C22×C4—142no—
512C22×C4—142no—
513C22×C4—142no—
514C22×C4—144no—
515C22×C4—141no—
516C22×C4—141no—
517C22×C4—142no—
518C22×C4—284no—
519C22×C4—284no—
520C22×C4—282no—
521C22×C4—282no—
522C22×C4C2×C4×D711yescharacteristic
523C22×C4C2×C4×D711yescharacteristic
524C22×C4#115712yes—
525C22×C4#115712yes—
526C22×C4D4×D711yescharacteristic
527C22×C4D4×D711yescharacteristic
528C22×C4D4×D711yescharacteristic
529C22×C4#115912yes—
530C22×C4#116112yes—
531C22×C4C23×D711yescharacteristic
532M16—22no—
533M16—22no—
534M16—42no—
535M16—142no—
536M16—142no—
537M16—282no—
538C2×C8—22no—
539C2×C8—42no—
540C2×C8—142no—
541C2×C8—282no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—72no—
545C4⋊C4—72no—
546C4⋊C4—144no—
547C4⋊C4—144no—
548C4⋊C4—141no—
549C4⋊C4—141no—
550C4⋊C4C2×C4×D712yes—
551C4⋊C4C2×C4×D712yes—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—144no—
555C22⋊C4—144no—
556C22⋊C4—1416no—
557C22⋊C4—142no—
558C22⋊C4—142no—
559C42—22no—
560C42—22no—
561C42—22no—
562C42—22no—
563C42—42no—
564C42—144no—
565C42—144no—
566C42—142no—
567C42—142no—
568C42—142no—
569C42—142no—
570C42—282no—
571C2×C7—21no—
572C2×C7—21no—
573C2×C7—22no—
574C2×C7#182614yescomplemented
575C2×C7C2×#38111yescharacteristic
576C2×C7C22×#10411yescharacteristic
577C2×C7C2×#42111yescharacteristic
578D7—24no—
579D7—42no—
580C23—22no—
581C23—22no—
582C23—72no—
583C23—74no—
584C23—72no—
585C23—144no—
586C23—144no—
587C23—142no—
588C23—142no—
589C23—142no—
590C23—142no—
591C23—144no—
592C23—142no—
593C23—142no—
594C23—142no—
595C23—282no—
596C23—282no—
597C23—288no—
598C23—288no—
599C23D7×C22⋊C411yescharacteristic
600C23D7×C22⋊C411yescharacteristic
601C23#644612yes—
602C23#645712yes—
603C23C2×D4×D711yescharacteristic
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—42no—
608C2×C4—48no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—72no—
613C2×C4—72no—
614C2×C4—142no—
615C2×C4—142no—
616C2×C4—144no—
617C2×C4—142no—
618C2×C4—142no—
619C2×C4—142no—
620C2×C4—142no—
621C2×C4—142no—
622C2×C4—142no—
623C2×C4—142no—
624C2×C4—142no—
625C2×C4—142no—
626C2×C4—142no—
627C2×C4—144no—
628C2×C4—144no—
629C2×C4—144no—
630C2×C4—144no—
631C2×C4—144no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—288no—
635C2×C4—288no—
636C2×C4—282no—
637C2×C4—288no—
638C2×C4—282no—
639C2×C4—282no—
640C2×C4—282no—
641C2×C4#643512yes—
642C2×C4#643512yes—
643C2×C4D7×C22⋊C411yescharacteristic
644C2×C4D7×C22⋊C411yescharacteristic
645C2×C4#644612yes—
646C2×C4#644612yes—
647C2×C4#644612yes—
648C2×C4#645512yes—
649C2×C4#645512yes—
650C2×C4#645712yes—
651C2×C4#645712yes—
652C2×C4#645712yes—
653C2×C4C22×C4×D711yescharacteristic
654C2×C4C2×#115711yescharacteristic
655C2×C4C2×#115711yescharacteristic
656C2×C4C2×D4×D711yescharacteristic
657C2×C4C2×#115911yescharacteristic
658C2×C4C2×#116111yescharacteristic
659C8—42no—
660C8—282no—
661C7C2×#182611yescharacteristic, complemented, Sylow
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—24no—
667C22—24no—
668C22—74no—
669C22—142no—
670C22—142no—
671C22—148no—
672C22—142no—
673C22—142no—
674C22—142no—
675C22—284no—
676C22—284no—
677C22—288no—
678C22—284no—
679C22#8943612yes—
680C22#8943612yes—
681C22D7×#10412yes—
682C22#8959312yes—
683C22C2×D7×C22⋊C411yescharacteristic
684C22C2×#644611yescharacteristic
685C22C2×#645711yescharacteristic
686C4—44no—
687C4—42no—
688C4—42no—
689C4—142no—
690C4—142no—
691C4—284no—
692C4—282no—
693C4—282no—
694C4#8943612yes—
695C4#8943612yes—
696C4C2×#643511yescharacteristic
697C4C2×#644611yescharacteristic
698C4C2×#645511yescharacteristic
699C4C2×#645711yescharacteristic
700C2—21no—
701C2—21no—
702C2—22no—
703C2—144no—
704C2—282no—
705C2#1172650814yesdirect product factor
706C2C2×#8943611yescharacteristic
707C2C2×D7×#10411yescharacteristic
708C2C2×#8959311yescharacteristic
subgroupG/H
centerC22×C4D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC2×C7×#339C2
socleC23×C7C2×C22⋊C4
prime radicalC24×D7D4
cosocleC22×C4×C7C24
hypercenterC2×#339D7
hypocenterC7C2×#1826
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#339

Complements

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

NH ≅ G/Ntype
4. C2×C7×#339C2semidirect
5. C2×#89350C2semidirect
6. C2×#89327C2semidirect
7. C2×#89318C2semidirect
8. #11726508C2direct (N × H)
19. D7×#117C4semidirect
21. C2×#6455C4semidirect
22. C2×#6455C4semidirect
23. C2×D7×C4⋊C4C4semidirect
24. C2×D7×C4⋊C4C4semidirect
36. C7×#339C22semidirect
37. #89350C22semidirect
38. #89327C22semidirect
39. #89318C22semidirect
104. #6455C2×C4semidirect
105. #6455C2×C4semidirect
108. D7×C4⋊C4C2×C4semidirect
109. D7×C4⋊C4C2×C4semidirect
128. C2×#339D7semidirect
265. #339C2×D7semidirect
574. C2×C7#1826semidirect
661. C7C2×#1826semidirect
705. C2#11726508direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D7×#1172
C2×#898982
C2×C4×(C2×D7)⋊C42
C2×C7×#3392
C2×#893502
C2×#893272
C2×#893182
#117265082
C2×#18267