Finite Group Databasebeta

← C2×#11740082 #13513353

Subgroups — C2×#11740082 #13513353

Order 1792.

4046 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#121C211yesmaximal, characteristic
2C22×D4×Dic7C211yesmaximal, characteristic, complemented
3C22×#6489C211yesmaximal, characteristic, complemented
4C2×#89993C211yesmaximal, characteristic, complemented
5C2×#89993C212yesmaximal, complemented
6C2×#89992C212yesmaximal, complemented
7C2×C4×C22⋊Dic7C211yesmaximal, characteristic, complemented
8#11740082C2116yesmaximal, direct product factor
9C2×#89757C211yesmaximal, characteristic, complemented
10C2×C4⋊C4×Dic7C211yesmaximal, characteristic, complemented
11C2×#89723C212yesmaximal, complemented
12C2×C22⋊C4×Dic7C212yesmaximal, complemented
13C23×C7×D4C2211yescharacteristic
14C23×C7×D4C2212yes—
15C24×C4×C7C2211yescharacteristic
16C24×Dic7C2212yes—
17C2×C7×#121C4116yescomplemented
18C2×C7×#121C2218yes—
19C22×C7×C4⋊C4C2211yescharacteristic
20C22×C7×C22⋊C4C2212yes—
21C22×C22⋊Dic7C2211yescharacteristic
22C22×C22⋊Dic7C2211yescharacteristic
23C22×C22⋊Dic7C2212yes—
24C22×C22⋊Dic7C2212yes—
25C22×C22⋊Dic7C2212yes—
26C22×C22⋊Dic7C2212yes—
27C2×D4×Dic7—28no—
28C2×D4×Dic7C2218yescomplemented
29C2×#6489—28no—
30C2×#6489C2218yescomplemented
31C22×C4⋊Dic7C2211yescharacteristic
32C22×C4⋊Dic7C2212yes—
33C22×C4⋊Dic7C2211yescharacteristic
34C22×C4×Dic7C2211yescharacteristic
35C22×C4×Dic7C2211yescharacteristic
36C22×C4×Dic7C2212yes—
37C22×C4×Dic7C2212yes—
38#89993C2218yescomplemented
39#89993C22116yescomplemented
40#89992C22116yescomplemented
41C4×C22⋊Dic7C2218yescomplemented
42C2×C7⋊#95C2211yescharacteristic
43C2×C7⋊#95C2211yescharacteristic
44C2×C7⋊#95C2212yes—
45C2×C7⋊#95C2212yes—
46#89757C2218yescomplemented
47C4⋊C4×Dic7C2218yescomplemented
48#89723C22116yescomplemented
49C22⋊C4×Dic7C22116yescomplemented
50C2×#2363—71nomaximal, Sylow
51C25×C7C2311yescharacteristic
52C25×C7C2312yes—
53C22×C7×D4—24no—
54C22×C7×D4—24no—
55C22×C7×D4—44no—
56C22×C7×D4—44no—
57C22×C7×D4C2×C418yes—
58C22×C7×D4C2×C4116yescomplemented
59C22×C7×D4C2314yes—
60C22×C7×D4C2318yes—
61C23×C4×C7—24no—
62C23×C4×C7—24no—
63C23×C4×C7C2×C418yescomplemented
64C23×C4×C7C2312yes—
65C23×C4×C7C2311yescharacteristic
66C23×C4×C7C2314yes—
67C23×C4×C7C2311yescharacteristic
68C23×Dic7—28no—
69C23×Dic7—28no—
70C23×Dic7—44no—
71C23×Dic7C2312yes—
72C23×Dic7C2311yescharacteristic
73C23×Dic7C2311yescharacteristic
74C23×Dic7C2318yes—
75C23×Dic7C2312yes—
76C23×Dic7C2311yescharacteristic
77C23×Dic7C2311yescharacteristic
78C7×#121C2×C4164yescomplemented
79C2×C7×C4⋊C4C2×C418yescomplemented
80C2×C7×C4⋊C4C2314yes—
81C2×C7×C22⋊C4C2×C4116yescomplemented
82C2×C7×C22⋊C4C2318yes—
83C2×C22⋊Dic7—28no—
84C2×C22⋊Dic7—28no—
85C2×C22⋊Dic7—24no—
86C2×C22⋊Dic7—28no—
87C2×C22⋊Dic7—24no—
88C2×C22⋊Dic7—44no—
89C2×C22⋊Dic7C2318yes—
90C2×C22⋊Dic7C2318yes—
91C2×C22⋊Dic7C2318yes—
92C2×C22⋊Dic7C2314yes—
93C2×C22⋊Dic7C2314yes—
94C2×C22⋊Dic7C2318yes—
95D4×Dic7—232no—
96#6489—232no—
97C2×C4⋊Dic7—24no—
98C2×C4⋊Dic7—44no—
99C2×C4⋊Dic7D418yescomplemented
100C2×C4⋊Dic7C2314yes—
101C2×C4⋊Dic7C2318yes—
102C2×C4⋊Dic7C2314yes—
103C2×C4×Dic7—24no—
104C2×C4×Dic7—24no—
105C2×C4×Dic7—28no—
106C2×C4×Dic7—44no—
107C2×C4×Dic7C2318yes—
108C2×C4×Dic7C2314yes—
109C2×C4×Dic7C2314yes—
110C2×C4×Dic7C2318yes—
111C7⋊#95C2314yes—
112C7⋊#95C2318yes—
113C7⋊#95C2314yes—
114C7⋊#95C2318yes—
115C22×#121D711yescharacteristic
116C22×C4×D4—71no—
117C22×#117—71no—
118#2363—716no—
119C2×#390—72no—
120C2×#390—71no—
121C2×#389—71no—
122C2×#388—72no—
123C2×#386—72no—
124C2×C4×C4⋊C4—71no—
125C2×C4×C22⋊C4—71no—
126C2×C4×C22⋊C4—72no—
127C24×C7—22no—
128C24×C7—24no—
129C24×C7—22no—
130C24×C7—22no—
131C24×C7—24no—
132C24×C7—24no—
133C24×C7—22no—
134C24×C7—24no—
135C24×C7—24no—
136C24×C7—24no—
137C24×C7—22no—
138C24×C7—22no—
139C24×C7C22×C418yes—
140C24×C7C22×C414yes—
141C24×C7C2412yes—
142C24×C7C2414yes—
143C24×C7C2411yescharacteristic
144C2×C7×D4—232no—
145C2×C7×D4—28no—
146C2×C7×D4—28no—
147C2×C7×D4—432no—
148C2×C7×D4—48no—
149C2×C7×D4—48no—
150C2×C7×D4C22×C4116yes—
151C2×C7×D4C22×C4132yescomplemented
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7—24no—
155C22×C4×C7—24no—
156C22×C4×C7—232no—
157C22×C4×C7—28no—
158C22×C4×C7—28no—
159C22×C4×C7C22×C414yes—
160C22×C4×C7C22×C418yes—
161C22×C4×C7C22×C414yes—
162C22×C4×C7C22×C4116yescomplemented
163C22×C4×C7C2×D414yes—
164C22×C4×C7#4114yes—
165C22×C4×C7C2412yes—
166C22×C4×C7C2414yes—
167C22×C4×C7C2412yes—
168C22×Dic7—22no—
169C22×Dic7—22no—
170C22×Dic7—24no—
171C22×Dic7—22no—
172C22×Dic7—24no—
173C22×Dic7—22no—
174C22×Dic7—24no—
175C22×Dic7—22no—
176C22×Dic7—22no—
177C22×Dic7—24no—
178C22×Dic7—22no—
179C22×Dic7—22no—
180C22×Dic7—22no—
181C22×Dic7—24no—
182C22×Dic7—22no—
183C22×Dic7—216no—
184C22×Dic7—216no—
185C22×Dic7—48no—
186C22×Dic7—432no—
187C22×Dic7C2×D418yes—
188C22×Dic7#4114yes—
189C22×Dic7#4114yes—
190C22×Dic7C2412yes—
191C22×Dic7C2414yes—
192C22×Dic7C2412yes—
193C22×Dic7C2414yes—
194C22×Dic7C2412yes—
195C22×Dic7C2412yes—
196C7×C4⋊C4C22×C4116yescomplemented
197C7×C22⋊C4C22×C4132yescomplemented
198C22⋊Dic7—216no—
199C22⋊Dic7—216no—
200C22⋊Dic7—216no—
201C22⋊Dic7—28no—
202C22⋊Dic7—28no—
203C22⋊Dic7—48no—
204C4⋊Dic7—28no—
205C4⋊Dic7—48no—
206C4⋊Dic7C2×D4116yescomplemented
207C4×Dic7—28no—
208C4×Dic7—28no—
209C4×Dic7—216no—
210C4×Dic7—48no—
211C23×D4C2×D711yescharacteristic
212C23×D4C2×D712yes—
213C24×C4—72no—
214C24×C4C2×D711yescharacteristic
215C2×#121Dic7116yescomplemented
216C2×#121C2×D718yes—
217C2×C4×D4—78no—
218C2×C4×D4—148no—
219C2×#117—78no—
220C2×#117—148no—
221C22×C4⋊C4—71no—
222C22×C4⋊C4—71no—
223C22×C4⋊C4—72no—
224C22×C4⋊C4C2×D711yescharacteristic
225C22×C22⋊C4—72no—
226C22×C22⋊C4—72no—
227C22×C22⋊C4—71no—
228C22×C22⋊C4—71no—
229C22×C22⋊C4—72no—
230C22×C22⋊C4—72no—
231C22×C22⋊C4C2×D712yes—
232C22×C42—72no—
233C22×C42—71no—
234C22×C42—71no—
235C22×C42—72no—
236#390—78no—
237#390—716no—
238#389—78no—
239#388—716no—
240#386—716no—
241C4×C4⋊C4—78no—
242C4×C22⋊C4—78no—
243C4×C22⋊C4—716no—
244C2×#95—71no—
245C2×#95—72no—
246C2×#95—71no—
247C2×#95—72no—
248C23×C7—28no—
249C23×C7—216no—
250C23×C7—28no—
251C23×C7—216no—
252C23×C7—28no—
253C23×C7—216no—
254C23×C7—22no—
255C23×C7—24no—
256C23×C7—22no—
257C23×C7—22no—
258C23×C7—24no—
259C23×C7—24no—
260C23×C7—22no—
261C23×C7—24no—
262C23×C7—24no—
263C23×C7—24no—
264C23×C7—22no—
265C23×C7—22no—
266C23×C7—48no—
267C23×C7—44no—
268C23×C7—44no—
269C23×C7—48no—
270C23×C7—44no—
271C23×C7—48no—
272C23×C7—44no—
273C23×C7—48no—
274C23×C7C23×C418yes—
275C23×C7C23×C414yes—
276C23×C7C23×C412yes—
277C23×C7C22×D412yes—
278C23×C7C2×#4112yes—
279C23×C7C2×#4112yes—
280C23×C7C2×#4112yes—
281C23×C7H(5,𝔽2)12yes—
282C23×C7H(5,𝔽2)12yes—
283C23×C7C2511yescharacteristic
284C7×D4—232no—
285C7×D4—432no—
286C2×C4×C7—28no—
287C2×C4×C7—216no—
288C2×C4×C7—22no—
289C2×C4×C7—22no—
290C2×C4×C7—24no—
291C2×C4×C7—24no—
292C2×C4×C7—232no—
293C2×C4×C7C4×D4116yes—
294C2×C4×C7C23×C414yes—
295C2×C4×C7C23×C418yes—
296C2×C4×C7C23×C414yes—
297C2×C4×C7C22×D414yes—
298C2×C4×C7C2×#4114yes—
299C2×Dic7—28no—
300C2×Dic7—216no—
301C2×Dic7—28no—
302C2×Dic7—22no—
303C2×Dic7—22no—
304C2×Dic7—24no—
305C2×Dic7—22no—
306C2×Dic7—24no—
307C2×Dic7—22no—
308C2×Dic7—24no—
309C2×Dic7—22no—
310C2×Dic7—22no—
311C2×Dic7—24no—
312C2×Dic7—22no—
313C2×Dic7—22no—
314C2×Dic7—22no—
315C2×Dic7—24no—
316C2×Dic7—22no—
317C2×Dic7—432no—
318C2×Dic7—48no—
319C2×Dic7—44no—
320C2×Dic7—44no—
321C2×Dic7C22×D418yes—
322C2×Dic7C2×#4114yes—
323C2×Dic7C2×#4114yes—
324C25C22×D711yescharacteristic
325C25C22×D712yes—
326C22×D4—24no—
327C22×D4—24no—
328C22×D4—44no—
329C22×D4—44no—
330C22×D4C2×Dic718yes—
331C22×D4C2×Dic7116yescomplemented
332C22×D4C22×D714yes—
333C22×D4C22×D718yes—
334C23×C4—24no—
335C23×C4—24no—
336C23×C4—71no—
337C23×C4—72no—
338C23×C4—71no—
339C23×C4—71no—
340C23×C4—72no—
341C23×C4—71no—
342C23×C4—78no—
343C23×C4—148no—
344C23×C4—148no—
345C23×C4—284no—
346C23×C4C2×Dic718yescomplemented
347C23×C4C22×D711yescharacteristic
348C23×C4C22×D712yes—
349C23×C4C22×D714yes—
350C23×C4C22×D711yescharacteristic
351#121C2×Dic7164yescomplemented
352C4×D4—1432no—
353#117—1432no—
354C2×C4⋊C4—78no—
355C2×C4⋊C4—74no—
356C2×C4⋊C4—74no—
357C2×C4⋊C4—78no—
358C2×C4⋊C4—144no—
359C2×C4⋊C4—284no—
360C2×C4⋊C4C2×Dic718yescomplemented
361C2×C4⋊C4C22×D714yes—
362C2×C22⋊C4—78no—
363C2×C22⋊C4—78no—
364C2×C22⋊C4—74no—
365C2×C22⋊C4—74no—
366C2×C22⋊C4—78no—
367C2×C22⋊C4—78no—
368C2×C22⋊C4—148no—
369C2×C22⋊C4—148no—
370C2×C22⋊C4—144no—
371C2×C22⋊C4—148no—
372C2×C22⋊C4—144no—
373C2×C22⋊C4—284no—
374C2×C22⋊C4C2×Dic7116yescomplemented
375C2×C22⋊C4C22×D718yes—
376C2×C42—78no—
377C2×C42—74no—
378C2×C42—74no—
379C2×C42—78no—
380C2×C42—148no—
381C2×C42—144no—
382C2×C42—144no—
383C2×C42—284no—
384#95—74no—
385#95—78no—
386#95—74no—
387#95—78no—
388C22×C7—24no—
389C22×C7—28no—
390C22×C7—24no—
391C22×C7—28no—
392C22×C7—24no—
393C22×C7—28no—
394C22×C7—416no—
395C22×C7—432no—
396C22×C7—44no—
397C22×C7—42no—
398C22×C7—42no—
399C22×C7—44no—
400C22×C7—42no—
401C22×C7—44no—
402C22×C7—42no—
403C22×C7—44no—
404C22×C7C2×C4×D414yes—
405C22×C7C4×#4114yes—
406C22×C7#51814yes—
407C22×C7#54614yes—
408C22×C7#55014yes—
409C22×C7#55314yes—
410C22×C7#55514yes—
411C22×C7C24×C411yescharacteristic
412C22×C7C23×D411yescharacteristic
413C22×C7C22×#4111yescharacteristic
414C22×C7C22×#4111yescharacteristic
415C22×C7C22×#4111yescharacteristic
416C22×C7C2×H(5,𝔽2)11yescharacteristic
417C22×C7C2×H(5,𝔽2)11yescharacteristic
418C4×C7—24no—
419C4×C7—28no—
420C4×C7C2×C4×D418yes—
421Dic7—24no—
422Dic7—28no—
423Dic7—24no—
424Dic7—44no—
425Dic7—42no—
426Dic7—42no—
427C24—22no—
428C24—24no—
429C24—22no—
430C24—24no—
431C24—24no—
432C24—24no—
433C24—22no—
434C24—22no—
435C24—22no—
436C24—24no—
437C24—22no—
438C24—24no—
439C24C22×Dic718yes—
440C24C22×Dic714yes—
441C24C23×D712yes—
442C24C23×D714yes—
443C24C23×D711yescharacteristic
444C2×D4—232no—
445C2×D4—28no—
446C2×D4—28no—
447C2×D4—432no—
448C2×D4—48no—
449C2×D4—48no—
450C2×D4C22×Dic7116yes—
451C2×D4C22×Dic7132yescomplemented
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—232no—
457C22×C4—28no—
458C22×C4—28no—
459C22×C4—78no—
460C22×C4—74no—
461C22×C4—74no—
462C22×C4—72no—
463C22×C4—72no—
464C22×C4—74no—
465C22×C4—72no—
466C22×C4—72no—
467C22×C4—74no—
468C22×C4—1416no—
469C22×C4—1416no—
470C22×C4—142no—
471C22×C4—142no—
472C22×C4—142no—
473C22×C4—144no—
474C22×C4—142no—
475C22×C4—144no—
476C22×C4—142no—
477C22×C4—144no—
478C22×C4—142no—
479C22×C4—142no—
480C22×C4—144no—
481C22×C4—142no—
482C22×C4—142no—
483C22×C4—144no—
484C22×C4—142no—
485C22×C4—288no—
486C22×C4—2832no—
487C22×C4D4×D714yes—
488C22×C4#115914yes—
489C22×C4C22×Dic714yes—
490C22×C4C22×Dic718yes—
491C22×C4C22×Dic714yes—
492C22×C4C22×Dic7116yescomplemented
493C22×C4C23×D712yes—
494C22×C4C23×D714yes—
495C22×C4C23×D712yes—
496C4⋊C4—716no—
497C4⋊C4—148no—
498C4⋊C4—288no—
499C4⋊C4C22×Dic7116yescomplemented
500C22⋊C4—1416no—
501C22⋊C4—1416no—
502C22⋊C4—148no—
503C22⋊C4—1416no—
504C22⋊C4—148no—
505C22⋊C4—288no—
506C22⋊C4C22×Dic7132yescomplemented
507C42—1416no—
508C42—148no—
509C42—148no—
510C42—288no—
511C2×C7—44no—
512C2×C7—48no—
513C2×C7#236318yescomplemented
514C2×C7C22×C4×D411yescharacteristic
515C2×C7C2×C4×#4111yescharacteristic
516C2×C7C2×#51811yescharacteristic
517C2×C7C2×#54611yescharacteristic
518C2×C7C2×#55011yescharacteristic
519C2×C7C2×#55311yescharacteristic
520C2×C7C2×#55511yescharacteristic
521C23—28no—
522C23—216no—
523C23—28no—
524C23—216no—
525C23—28no—
526C23—216no—
527C23—22no—
528C23—24no—
529C23—22no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—22no—
534C23—22no—
535C23—22no—
536C23—24no—
537C23—22no—
538C23—24no—
539C23—44no—
540C23—48no—
541C23—48no—
542C23—44no—
543C23—44no—
544C23—48no—
545C23—44no—
546C23—48no—
547C23C2×D4×D712yes—
548C23C2×#115912yes—
549C23#654812yes—
550C23#654812yes—
551C23D7×#4112yes—
552C23D7×#4112yes—
553C23C23×Dic718yes—
554C23C23×Dic714yes—
555C23C23×Dic712yes—
556C23C24×D711yescharacteristic
557D4—232no—
558D4—432no—
559C2×C4—28no—
560C2×C4—216no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—232no—
566C2×C4—78no—
567C2×C4—74no—
568C2×C4—74no—
569C2×C4—1416no—
570C2×C4—148no—
571C2×C4—148no—
572C2×C4—142no—
573C2×C4—142no—
574C2×C4—142no—
575C2×C4—144no—
576C2×C4—142no—
577C2×C4—144no—
578C2×C4—142no—
579C2×C4—144no—
580C2×C4—142no—
581C2×C4—142no—
582C2×C4—144no—
583C2×C4—142no—
584C2×C4—142no—
585C2×C4—144no—
586C2×C4—142no—
587C2×C4—2832no—
588C2×C4—284no—
589C2×C4—288no—
590C2×C4—284no—
591C2×C4D4×Dic7116yes—
592C2×C4C2×D4×D714yes—
593C2×C4C2×#115914yes—
594C2×C4C23×Dic714yes—
595C2×C4C23×Dic718yes—
596C2×C4C23×Dic714yes—
597C7C2×#236311yescharacteristic, complemented, Sylow
598C22—24no—
599C22—28no—
600C22—24no—
601C22—28no—
602C22—24no—
603C22—28no—
604C22—42no—
605C22—44no—
606C22—42no—
607C22—44no—
608C22—44no—
609C22—42no—
610C22—42no—
611C22—44no—
612C22—416no—
613C22—432no—
614C22#9029014yes—
615C22#9030314yes—
616C22#9030514yes—
617C22#9030714yes—
618C22C2×D4×Dic714yes—
619C22#9048914yes—
620C22#41×Dic714yes—
621C22C22×D4×D711yescharacteristic
622C22C22×#115911yescharacteristic
623C22C2×#654811yescharacteristic
624C22C2×#654811yescharacteristic
625C22C2×D7×#4111yescharacteristic
626C22C2×D7×#4111yescharacteristic
627C22C24×Dic711yescharacteristic
628C4—24no—
629C4—28no—
630C4—144no—
631C4—148no—
632C4—144no—
633C4—282no—
634C4—284no—
635C4—282no—
636C4C2×D4×Dic718yes—
637C2—44no—
638C2—48no—
639C2#1174008218yesdirect product factor
640C2C2×#9029011yescharacteristic
641C2C2×#9030711yescharacteristic
642C2C2×#9030311yescharacteristic
643C2C2×#9030511yescharacteristic
644C2C22×D4×Dic711yescharacteristic
645C2C2×#9048911yescharacteristic
646C2C2×#41×Dic711yescharacteristic
subgroupG/H
centerC24C23×D7
commutatorC22×C7C24×C4
FrattiniC23C24×D7
Fitting, prime radicalC22×C7×#121C2
socleC24×C7C24
cosocleC23×C7C25
hypercenterC22×#121D7
hypocenterC7C2×#2363
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C24 ◁ C22×#121

Complements

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

NH ≅ G/Ntype
2. C22×D4×Dic7C2semidirect
3. C22×#6489C2semidirect
4. C2×#89993C2semidirect
5. C2×#89993C2semidirect
6. C2×#89992C2semidirect
7. C2×C4×C22⋊Dic7C2semidirect
8. #11740082C2direct (N × H)
9. C2×#89757C2semidirect
10. C2×C4⋊C4×Dic7C2semidirect
11. C2×#89723C2semidirect
12. C2×C22⋊C4×Dic7C2semidirect
17. C2×C7×#121C4semidirect
28. C2×D4×Dic7C22semidirect
30. C2×#6489C22semidirect
38. #89993C22semidirect
39. #89993C22semidirect
40. #89992C22semidirect
41. C4×C22⋊Dic7C22semidirect
46. #89757C22semidirect
47. C4⋊C4×Dic7C22semidirect
48. #89723C22semidirect
49. C22⋊C4×Dic7C22semidirect
58. C22×C7×D4C2×C4semidirect
63. C23×C4×C7C2×C4semidirect
78. C7×#121C2×C4semidirect
79. C2×C7×C4⋊C4C2×C4semidirect
81. C2×C7×C22⋊C4C2×C4semidirect
99. C2×C4⋊Dic7D4semidirect
151. C2×C7×D4C22×C4semidirect
162. C22×C4×C7C22×C4semidirect
196. C7×C4⋊C4C22×C4semidirect
197. C7×C22⋊C4C22×C4semidirect
206. C4⋊Dic7C2×D4semidirect
215. C2×#121Dic7semidirect
331. C22×D4C2×Dic7semidirect
346. C23×C4C2×Dic7semidirect
351. #121C2×Dic7semidirect
360. C2×C4⋊C4C2×Dic7semidirect
374. C2×C22⋊C4C2×Dic7semidirect
451. C2×D4C22×Dic7semidirect
492. C22×C4C22×Dic7semidirect
499. C4⋊C4C22×Dic7semidirect
506. C22⋊C4C22×Dic7semidirect
513. C2×C7#2363semidirect
597. C7C2×#2363semidirect
639. C2#11740082direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C7×#1212
C22×D4×Dic72
C22×#64892
C2×#899932
C2×#899922
C2×C4×C22⋊Dic72
#117400822
C2×#897572
C2×C4⋊C4×Dic72
C2×#897232
C2×C22⋊C4×Dic72
C2×#23637