Finite Group Databasebeta

← C2×#11729602 #13355808

Subgroups — C2×#11729602 #13355808

Order 1792.

2078 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#534C211yesmaximal, characteristic
2C2×#90489C211yesmaximal, characteristic, complemented
3C22×#6408C212yesmaximal, complemented
4C22×#6408C211yesmaximal, characteristic, complemented
5#11729602C218yesmaximal, direct product factor
6C2×#89322C212yesmaximal, complemented
7C23×C7×D4C2211yescharacteristic
8C23×C7×D4C2211yescharacteristic
9C7×#534—22no—
10C7×#534—22no—
11C7×#534C414yescomplemented
12C7×#534C2214yes—
13C2×C7×#123—21no—
14C2×C7×#123C412yescomplemented
15C2×C7×#121—22no—
16C2×C7×#120—21no—
17C2×C7×#120C412yescomplemented
18C22×C7×C22⋊C4C2211yescharacteristic
19C22×C22⋊Dic7—21no—
20C22×C22⋊Dic7C2212yes—
21C22×C22⋊Dic7C2212yes—
22#90489—22no—
23#90489—24no—
24#90489C2214yescomplemented
25C2×D4×Dic7—24no—
26C2×#6489—21no—
27C2×#6408—22no—
28C2×#6408—22no—
29C2×#6408—24no—
30C2×#6408—24no—
31C2×#6408C2214yescomplemented
32C2×#6408C2218yescomplemented
33#89322C2218yescomplemented
34C2×#1913—71nomaximal, Sylow
35C25×C7C2×C411yescharacteristic, complemented
36C25×C7D411yescharacteristic
37C25×C7C2311yescharacteristic
38C22×C7×D4—22no—
39C22×C7×D4—22no—
40C22×C7×D4—22no—
41C22×C7×D4—22no—
42C22×C7×D4—22no—
43C22×C7×D4—22no—
44C22×C7×D4—21no—
45C22×C7×D4—21no—
46C22×C7×D4—21no—
47C22×C7×D4—21no—
48C22×C7×D4—22no—
49C22×C7×D4—22no—
50C22×C7×D4—22no—
51C22×C7×D4C2×C412yes—
52C22×C7×D4C2×C412yes—
53C22×C7×D4C2×C412yescomplemented
54C22×C7×D4D412yes—
55C22×C7×D4D412yes—
56C22×C7×D4D412yes—
57C22×C7×D4C2312yes—
58C22×C7×D4C2312yes—
59C23×C4×C7—21no—
60C23×C4×C7C2×C411yescharacteristic, complemented
61C23×C4×C7D411yescharacteristic
62C23×Dic7—22no—
63C23×Dic7—22no—
64C23×Dic7—22no—
65C7×#123—24no—
66C7×#123—24no—
67C7×#123—24no—
68C7×#123C2×C418yescomplemented
69C7×#121—28no—
70C7×#121—28no—
71C7×#120—24no—
72C7×#120—24no—
73C7×#120—24no—
74C7×#120C2×C418yescomplemented
75C2×C7×C4⋊C4—22no—
76C2×C7×C22⋊C4—22no—
77C2×C7×C22⋊C4—21no—
78C2×C7×C22⋊C4—21no—
79C2×C7×C22⋊C4—21no—
80C2×C7×C22⋊C4—22no—
81C2×C7×C22⋊C4C2×C412yescomplemented
82C2×C7×C22⋊C4C2×C412yescomplemented
83C2×C7×C22⋊C4C2312yes—
84C2×C22⋊Dic7—22no—
85C2×C22⋊Dic7—24no—
86C2×C22⋊Dic7—22no—
87C2×C22⋊Dic7—22no—
88C2×C22⋊Dic7—22no—
89C2×C22⋊Dic7—24no—
90C2×C22⋊Dic7—22no—
91C2×C22⋊Dic7—22no—
92C2×C22⋊Dic7—22no—
93C2×C22⋊Dic7—22no—
94C2×C22⋊Dic7—22no—
95C2×C22⋊Dic7D414yescomplemented
96C2×C22⋊Dic7D414yescomplemented
97C2×C22⋊Dic7C2314yes—
98C2×C22⋊Dic7C2314yes—
99D4×Dic7—216no—
100D4×Dic7—216no—
101#6489—24no—
102#6489—24no—
103C2×C4⋊Dic7—22no—
104C2×C4×Dic7—22no—
105#6408—28no—
106#6408—216no—
107C2×#534D711yescharacteristic
108C2×#518—71no—
109C22×#99—72no—
110C22×#99—71no—
111#1913—78no—
112C2×#342—72no—
113C24×C7—21no—
114C24×C7—21no—
115C24×C7—21no—
116C24×C7—21no—
117C24×C7—21no—
118C24×C7—21no—
119C24×C7—22no—
120C24×C7—22no—
121C24×C7—82no—
122C24×C7—82no—
123C24×C7—82no—
124C24×C7C22⋊C412yes—
125C24×C7C22⋊C412yes—
126C24×C7C22×C411yescharacteristic
127C24×C7C22×C411yescharacteristic
128C24×C7C22×C412yescomplemented
129C24×C7C2×D412yes—
130C24×C7C2×D411yescharacteristic
131C24×C7C2×D411yescharacteristic
132C24×C7C2×D412yes—
133C24×C7C2×D411yescharacteristic
134C24×C7C2×D411yescharacteristic
135C24×C7C2×D412yes—
136C24×C7#4112yes—
137C24×C7#4112yes—
138C24×C7C2411yescharacteristic
139C2×C7×D4—24no—
140C2×C7×D4—24no—
141C2×C7×D4—24no—
142C2×C7×D4—24no—
143C2×C7×D4—24no—
144C2×C7×D4—24no—
145C2×C7×D4—24no—
146C2×C7×D4—24no—
147C2×C7×D4—24no—
148C2×C7×D4—24no—
149C2×C7×D4—24no—
150C2×C7×D4—24no—
151C2×C7×D4—22no—
152C2×C7×D4—22no—
153C2×C7×D4—24no—
154C2×C7×D4—24no—
155C2×C7×D4—24no—
156C2×C7×D4—22no—
157C2×C7×D4—22no—
158C2×C7×D4—24no—
159C2×C7×D4—28no—
160C2×C7×D4—41no—
161C2×C7×D4—41no—
162C2×C7×D4—42no—
163C2×C7×D4—42no—
164C2×C7×D4—42no—
165C2×C7×D4—42no—
166C2×C7×D4—42no—
167C2×C7×D4—41no—
168C2×C7×D4—41no—
169C2×C7×D4—42no—
170C2×C7×D4—84no—
171C2×C7×D4C22⋊C414yes—
172C2×C7×D4C22⋊C414yes—
173C2×C7×D4C22×C414yes—
174C2×C7×D4C2×D414yes—
175C22×C4×C7—21no—
176C22×C4×C7—21no—
177C22×C4×C7—21no—
178C22×C4×C7—21no—
179C22×C4×C7—22no—
180C22×C4×C7—21no—
181C22×C4×C7—21no—
182C22×C4×C7—22no—
183C22×C4×C7—22no—
184C22×C4×C7—22no—
185C22×C4×C7—22no—
186C22×C4×C7—82no—
187C22×C4×C7C22⋊C412yes—
188C22×C4×C7C22⋊C412yes—
189C22×C4×C7C22×C412yescomplemented
190C22×C4×C7C2×D412yes—
191C22×Dic7—24no—
192C22×Dic7—28no—
193C22×Dic7—24no—
194C22×Dic7—24no—
195C22×Dic7—24no—
196C22×Dic7—42no—
197C22×Dic7—42no—
198C22×Dic7—84no—
199C22×Dic7—84no—
200C22×Dic7—84no—
201C7×C4⋊C4—28no—
202C7×C22⋊C4—22no—
203C7×C22⋊C4—22no—
204C7×C22⋊C4—28no—
205C7×C22⋊C4—22no—
206C7×C22⋊C4—28no—
207C7×C22⋊C4C22×C414yescomplemented
208C22⋊Dic7—28no—
209C22⋊Dic7—24no—
210C22⋊Dic7—24no—
211C22⋊Dic7—24no—
212C22⋊Dic7—24no—
213C22⋊Dic7—24no—
214C22⋊Dic7—42no—
215C22⋊Dic7—42no—
216C22⋊Dic7C2×D418yescomplemented
217C4⋊Dic7—28no—
218C4×Dic7—28no—
219C23×D4C2×D711yescharacteristic
220C23×D4C2×D711yescharacteristic
221#534—22no—
222#534—22no—
223#534Dic714yescomplemented
224#534C2×D714yes—
225C2×#123—21no—
226C2×#123Dic712yescomplemented
227C2×#121—22no—
228C2×#120—21no—
229C2×#120Dic712yescomplemented
230#518—74no—
231#518—144no—
232#518—142no—
233C2×C4×D4—144no—
234C2×#117—141no—
235C22×C22⋊C4—72no—
236C22×C22⋊C4—72no—
237C22×C22⋊C4—141no—
238C22×C22⋊C4C2×D711yescharacteristic
239C2×#99—78no—
240C2×#99—74no—
241C2×#99—144no—
242C2×#99—144no—
243C2×#99—142no—
244C2×#99—142no—
245#342—78no—
246C23×C7—22no—
247C23×C7—22no—
248C23×C7—22no—
249C23×C7—22no—
250C23×C7—22no—
251C23×C7—22no—
252C23×C7—22no—
253C23×C7—24no—
254C23×C7—44no—
255C23×C7—44no—
256C23×C7—42no—
257C23×C7—42no—
258C23×C7—42no—
259C23×C7—44no—
260C23×C7—44no—
261C23×C7—44no—
262C23×C7—41no—
263C23×C7—42no—
264C23×C7—41no—
265C23×C7—82no—
266C23×C7—84no—
267C23×C7—81no—
268C23×C7—82no—
269C23×C7—81no—
270C23×C7—81no—
271C23×C7—82no—
272C23×C7—81no—
273C23×C7—82no—
274C23×C7—82no—
275C23×C7—82no—
276C23×C7—82no—
277C23×C7—82no—
278C23×C7—82no—
279C23×C7—84no—
280C23×C7C2×C22⋊C411yescharacteristic
281C23×C7C2×C22⋊C414yes—
282C23×C7C2×C22⋊C411yescharacteristic
283C23×C7C2×C22⋊C411yescharacteristic
284C23×C7C2×C22⋊C411yescharacteristic
285C23×C7C4×D412yes—
286C23×C7C4×D412yes—
287C23×C7C4×D412yes—
288C23×C7C4×D412yes—
289C23×C7#12011yescharacteristic
290C23×C7#12011yescharacteristic
291C23×C7#12012yes—
292C23×C7#12112yes—
293C23×C7#12112yes—
294C23×C7#12112yes—
295C23×C7#12112yes—
296C23×C7#12311yescharacteristic
297C23×C7#12311yescharacteristic
298C23×C7#12312yes—
299C23×C7C23×C411yescharacteristic
300C23×C7C22×D412yes—
301C23×C7C22×D411yescharacteristic
302C23×C7C22×D411yescharacteristic
303C23×C7C2×#4112yes—
304C7×D4—28no—
305C7×D4—28no—
306C7×D4—28no—
307C7×D4—28no—
308C7×D4—42no—
309C7×D4—44no—
310C7×D4—42no—
311C7×D4—42no—
312C7×D4—42no—
313C7×D4—44no—
314C7×D4—88no—
315C2×C4×C7—22no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—22no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—24no—
322C2×C4×C7—22no—
323C2×C4×C7—24no—
324C2×C4×C7—44no—
325C2×C4×C7—41no—
326C2×C4×C7—42no—
327C2×C4×C7—41no—
328C2×C4×C7—82no—
329C2×C4×C7—82no—
330C2×C4×C7C2×C22⋊C414yes—
331C2×Dic7—28no—
332C2×Dic7—48no—
333C2×Dic7—44no—
334C2×Dic7—84no—
335C2×Dic7—84no—
336C2×Dic7—88no—
337C2×Dic7—84no—
338C2×Dic7—84no—
339C2×Dic7—84no—
340C25C2×Dic711yescharacteristic, complemented
341C25C22⋊D711yescharacteristic
342C25C22×D711yescharacteristic
343C22×D4—22no—
344C22×D4—22no—
345C22×D4—22no—
346C22×D4—22no—
347C22×D4—22no—
348C22×D4—22no—
349C22×D4—22no—
350C22×D4—22no—
351C22×D4—21no—
352C22×D4—21no—
353C22×D4—21no—
354C22×D4—21no—
355C22×D4—22no—
356C22×D4C2×Dic712yes—
357C22×D4C2×Dic712yes—
358C22×D4C2×Dic712yescomplemented
359C22×D4C22⋊D712yes—
360C22×D4C22⋊D712yes—
361C22×D4C22⋊D712yes—
362C22×D4C22×D712yes—
363C22×D4C22×D712yes—
364C23×C4—21no—
365C23×C4—142no—
366C23×C4—142no—
367C23×C4—142no—
368C23×C4C2×Dic711yescharacteristic, complemented
369C23×C4C22⋊D711yescharacteristic
370#123—24no—
371#123—24no—
372#123—24no—
373#123C2×Dic718yescomplemented
374#121—28no—
375#121—28no—
376#120—24no—
377#120—24no—
378#120—24no—
379#120C2×Dic718yescomplemented
380C4×D4—1416no—
381C4×D4—1416no—
382#117—144no—
383#117—144no—
384C2×C4⋊C4—22no—
385C2×C4⋊C4—142no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—74no—
392C2×C22⋊C4—74no—
393C2×C22⋊C4—74no—
394C2×C22⋊C4—74no—
395C2×C22⋊C4—142no—
396C2×C22⋊C4—144no—
397C2×C22⋊C4—142no—
398C2×C22⋊C4—142no—
399C2×C22⋊C4—142no—
400C2×C22⋊C4—144no—
401C2×C22⋊C4—142no—
402C2×C22⋊C4—142no—
403C2×C22⋊C4—142no—
404C2×C22⋊C4—142no—
405C2×C22⋊C4—142no—
406C2×C22⋊C4C2×Dic712yescomplemented
407C2×C22⋊C4C2×Dic712yescomplemented
408C2×C22⋊C4C22×D712yes—
409C2×C42—142no—
410#99—1416no—
411#99—148no—
412C22×C7—22no—
413C22×C7—24no—
414C22×C7—22no—
415C22×C7—24no—
416C22×C7—22no—
417C22×C7—24no—
418C22×C7—42no—
419C22×C7—42no—
420C22×C7—42no—
421C22×C7—42no—
422C22×C7—41no—
423C22×C7—41no—
424C22×C7—41no—
425C22×C7—41no—
426C22×C7—42no—
427C22×C7—41no—
428C22×C7—41no—
429C22×C7—41no—
430C22×C7—41no—
431C22×C7—42no—
432C22×C7—42no—
433C22×C7—42no—
434C22×C7—42no—
435C22×C7—42no—
436C22×C7—44no—
437C22×C7—44no—
438C22×C7—44no—
439C22×C7—44no—
440C22×C7—44no—
441C22×C7—42no—
442C22×C7—82no—
443C22×C7—82no—
444C22×C7—82no—
445C22×C7—84no—
446C22×C7—82no—
447C22×C7—84no—
448C22×C7—82no—
449C22×C7#38611yescharacteristic
450C22×C7#38611yescharacteristic
451C22×C7#38611yescharacteristic
452C22×C7#38612yes—
453C22×C7#38612yes—
454C22×C7#38611yescharacteristic
455C22×C7C22×C22⋊C411yescharacteristic
456C22×C7C2×C4×D412yes—
457C22×C7C2×#12011yescharacteristic
458C22×C7C2×#12112yes—
459C22×C7C2×#12311yescharacteristic
460C4×C7—24no—
461C4×C7—44no—
462C4×C7—42no—
463Dic7—48no—
464Dic7—84no—
465C24—21no—
466C24—21no—
467C24—21no—
468C24—21no—
469C24—21no—
470C24—22no—
471C24—22no—
472C24—21no—
473C24—82no—
474C24—82no—
475C24—82no—
476C24C22⋊Dic712yes—
477C24C22⋊Dic712yes—
478C24D4×D712yes—
479C24D4×D712yes—
480C24#115912yes—
481C24#115912yes—
482C24C22×Dic711yescharacteristic
483C24C22×Dic711yescharacteristic
484C24C22×Dic712yescomplemented
485C24C2×C22⋊D712yes—
486C24C2×C22⋊D711yescharacteristic
487C24C2×C22⋊D711yescharacteristic
488C24C2×C22⋊D711yescharacteristic
489C24C2×C22⋊D711yescharacteristic
490C24C23×D711yescharacteristic
491C2×D4—24no—
492C2×D4—24no—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—24no—
501C2×D4—24no—
502C2×D4—24no—
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—28no—
512C2×D4—41no—
513C2×D4—42no—
514C2×D4—41no—
515C2×D4—41no—
516C2×D4—42no—
517C2×D4—41no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—84no—
523C2×D4C22⋊Dic714yes—
524C2×D4C22⋊Dic714yes—
525C2×D4C22×Dic714yes—
526C2×D4C2×C22⋊D714yes—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—82no—
539C22×C4—144no—
540C22×C4—148no—
541C22×C4—144no—
542C22×C4—144no—
543C22×C4—144no—
544C22×C4—282no—
545C22×C4—282no—
546C22×C4—564no—
547C22×C4—564no—
548C22×C4—564no—
549C22×C4C22⋊Dic712yes—
550C22×C4C22⋊Dic712yes—
551C22×C4C22×Dic712yescomplemented
552C22×C4C2×C22⋊D712yes—
553C4⋊C4—28no—
554C4⋊C4—148no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—28no—
558C22⋊C4—22no—
559C22⋊C4—28no—
560C22⋊C4—78no—
561C22⋊C4—148no—
562C22⋊C4—144no—
563C22⋊C4—144no—
564C22⋊C4—144no—
565C22⋊C4—144no—
566C22⋊C4—144no—
567C22⋊C4—282no—
568C22⋊C4—282no—
569C22⋊C4C22×Dic714yescomplemented
570C42—148no—
571C2×C7—21no—
572C2×C7—22no—
573C2×C7—21no—
574C2×C7—21no—
575C2×C7—21no—
576C2×C7—22no—
577C2×C7—21no—
578C2×C7—22no—
579C2×C7—21no—
580C2×C7—22no—
581C2×C7—44no—
582C2×C7—82no—
583C2×C7#191312yescomplemented
584C2×C7C2×#38611yescharacteristic
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—24no—
593C23—42no—
594C23—44no—
595C23—44no—
596C23—42no—
597C23—42no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—41no—
602C23—42no—
603C23—41no—
604C23—82no—
605C23—84no—
606C23—82no—
607C23—82no—
608C23—81no—
609C23—81no—
610C23—81no—
611C23—81no—
612C23—82no—
613C23—82no—
614C23—82no—
615C23—82no—
616C23—82no—
617C23—82no—
618C23—84no—
619C23D4×Dic712yes—
620C23D4×Dic712yes—
621C23D4×Dic712yes—
622C23D4×Dic712yes—
623C23#649811yescharacteristic
624C23#649811yescharacteristic
625C23#649812yes—
626C23#650011yescharacteristic
627C23#650011yescharacteristic
628C23#650012yes—
629C23#650212yes—
630C23#650212yes—
631C23#650212yes—
632C23#650212yes—
633C23C2×C22⋊Dic711yescharacteristic
634C23C2×C22⋊Dic714yes—
635C23C2×C22⋊Dic711yescharacteristic
636C23C2×C22⋊Dic711yescharacteristic
637C23C2×C22⋊Dic711yescharacteristic
638C23C2×D4×D712yes—
639C23C2×#115912yes—
640C23C23×Dic711yescharacteristic
641C23C22×C22⋊D711yescharacteristic
642C23C22×C22⋊D711yescharacteristic
643D4—28no—
644D4—28no—
645D4—28no—
646D4—28no—
647D4—42no—
648D4—42no—
649D4—44no—
650D4—42no—
651D4—42no—
652D4—44no—
653D4—88no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—82no—
668C2×C4—82no—
669C2×C4—148no—
670C2×C4—288no—
671C2×C4—284no—
672C2×C4—564no—
673C2×C4—564no—
674C2×C4—568no—
675C2×C4—564no—
676C2×C4—564no—
677C2×C4—564no—
678C2×C4C2×C22⋊Dic714yes—
679C7C2×#191311yescharacteristic, complemented, Sylow
680C22—22no—
681C22—22no—
682C22—24no—
683C22—24no—
684C22—22no—
685C22—24no—
686C22—41no—
687C22—41no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22—44no—
708C22—44no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—84no—
714C22—82no—
715C22—84no—
716C22—82no—
717C22#8999211yescharacteristic
718C22#8999211yescharacteristic
719C22#8999211yescharacteristic
720C22#8999212yes—
721C22#8999212yes—
722C22#8999211yescharacteristic
723C22C2×D4×Dic712yes—
724C22C2×#649811yescharacteristic
725C22C2×#650011yescharacteristic
726C22C2×#650212yes—
727C22C22×C22⋊Dic711yescharacteristic
728C4—24no—
729C4—44no—
730C4—42no—
731C4—288no—
732C4—564no—
733C2—21no—
734C2—21no—
735C2—22no—
736C2—21no—
737C2—21no—
738C2—22no—
739C2—21no—
740C2—22no—
741C2—21no—
742C2—22no—
743C2—44no—
744C2—82no—
745C2#1172960212yesdirect product factor
746C2C2×#8999211yescharacteristic
subgroupG/H
centerC22#89992
commutatorC23×C7C23×C4
FrattiniC24C23×D7
Fitting, prime radicalC2×C7×#534C2
socleC22×C7#386
cosocleC24×C7C24
hypercenterC2×#534D7
hypocenterC7C2×#1913
LCSG ▷ C23×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C25 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
2. C2×#90489C2semidirect
3. C22×#6408C2semidirect
4. C22×#6408C2semidirect
5. #11729602C2direct (N × H)
6. C2×#89322C2semidirect
11. C7×#534C4semidirect
14. C2×C7×#123C4semidirect
17. C2×C7×#120C4semidirect
24. #90489C22semidirect
31. C2×#6408C22semidirect
32. C2×#6408C22semidirect
33. #89322C22semidirect
35. C25×C7C2×C4semidirect
53. C22×C7×D4C2×C4semidirect
60. C23×C4×C7C2×C4semidirect
68. C7×#123C2×C4semidirect
74. C7×#120C2×C4semidirect
81. C2×C7×C22⋊C4C2×C4semidirect
82. C2×C7×C22⋊C4C2×C4semidirect
95. C2×C22⋊Dic7D4semidirect
96. C2×C22⋊Dic7D4semidirect
128. C24×C7C22×C4semidirect
189. C22×C4×C7C22×C4semidirect
207. C7×C22⋊C4C22×C4semidirect
216. C22⋊Dic7C2×D4semidirect
223. #534Dic7semidirect
226. C2×#123Dic7semidirect
229. C2×#120Dic7semidirect
340. C25C2×Dic7semidirect
358. C22×D4C2×Dic7semidirect
368. C23×C4C2×Dic7semidirect
373. #123C2×Dic7semidirect
379. #120C2×Dic7semidirect
406. C2×C22⋊C4C2×Dic7semidirect
407. C2×C22⋊C4C2×Dic7semidirect
484. C24C22×Dic7semidirect
551. C22×C4C22×Dic7semidirect
569. C22⋊C4C22×Dic7semidirect
583. C2×C7#1913semidirect
679. C7C2×#1913semidirect
745. C2#11729602direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#5342
C2×#904892
C22×#64082
#117296022
C2×#893222
C2×#19137