Finite Group Databasebeta

← C2×#11737419 #14233563

Subgroups — C2×#11737419 #14233563

Order 1792.

1886 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90270C211yesmaximal, characteristic, complemented
2C2×#90275C211yesmaximal, characteristic, complemented
3C2×C7×#446C211yesmaximal, characteristic, complemented
4#11737419C2116yesmaximal, direct product factor
5C2×#89601C211yesmaximal, characteristic, complemented
6C2×#89623C211yesmaximal, characteristic, complemented
7C2×#89619C211yesmaximal, characteristic, complemented
8C2×#89616C211yesmaximal, characteristic
9C2×#89616C211yesmaximal, characteristic
10C2×#89613C211yesmaximal, characteristic, complemented
11C2×#89475C211yesmaximal, characteristic, complemented
12C2×#89486C211yesmaximal, characteristic, complemented
13C2×#89483C211yesmaximal, characteristic
14C2×#89482C211yesmaximal, characteristic, complemented
15C2×C4×#1132C211yesmaximal, characteristic, complemented
16C2×#89469C211yesmaximal, characteristic, complemented
17C2×C4×C7×Q8C2211yescharacteristic
18C2×#6509—21no—
19C2×#6509—21no—
20C22×D56C2211yescharacteristic
21C22×#1132C2211yescharacteristic
22C22×#1132C2211yescharacteristic
23#90275—24no—
24#90275C2218yescomplemented
25#90270—24no—
26#90270C2218yescomplemented
27C2×#6461—21no—
28C2×#6461—21no—
29C2×#6459—21no—
30C2×#6459—21no—
31C2×#6455—21no—
32C2×D7×C4⋊C4—21no—
33C2×#6438C2211yescharacteristic
34C2×#6438C2211yescharacteristic
35C2×C4×D28C2211yescharacteristic
36C2×C4×D28C2211yescharacteristic
37C2×C4×D28C2211yescharacteristic
38C2×C4×D28C2211yescharacteristic
39C2×#6433C2211yescharacteristic
40C2×#6433C2211yescharacteristic
41C2×#6432C2211yescharacteristic
42C2×#6432C2211yescharacteristic
43C2×C4×Dic14C2211yescharacteristic
44C2×C4×Dic14C2211yescharacteristic
45C7×#446C2218yescomplemented
46C2×C7×C4⋊C8C2211yescharacteristic
47C2×C7×C4⋊C8C2211yescharacteristic
48C2×C7×C4⋊C8C2211yescharacteristic
49C2×C7×#97C2211yescharacteristic
50C2×C7×#97C2211yescharacteristic
51C2×C4×C7×C8C2211yescharacteristic
52C2×#6395C2211yescharacteristic
53C2×#6395C2211yescharacteristic
54C2×#6395C2211yescharacteristic
55C2×#6395C2211yescharacteristic
56C2×#6392C2211yescharacteristic
57C2×#6391C2211yescharacteristic
58C2×#6391C2211yescharacteristic
59C2×#6390C2211yescharacteristic
60C2×#6390C2211yescharacteristic
61C2×#6390C2211yescharacteristic
62C2×#6390C2211yescharacteristic
63C2×#6390C2211yescharacteristic
64C2×#6390C2211yescharacteristic
65#89623C2218yescomplemented
66#89619C2218yescomplemented
67#89616C2218yes—
68#89616C2218yes—
69#89613C2218yescomplemented
70#89601C2218yescomplemented
71#89486C2218yescomplemented
72#89483C2218yes—
73#89482C2218yescomplemented
74#89475C2218yescomplemented
75#89469C2218yescomplemented
76C4×#1132C2218yescomplemented
77C2×#3376—71nomaximal, Sylow
78C22×C7×Q8D411yescharacteristic
79C22×D28C2311yescharacteristic
80C22×D28C2311yescharacteristic
81C22×C4×D7—21no—
82C22×C4×D7—21no—
83C22×C4×D7—21no—
84C22×C4×D7—21no—
85C22×Dic14—21no—
86C22×Dic14C2311yescharacteristic
87C22×Dic14C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C22×C7×C8C2311yescharacteristic
90C22×C7×C8C2311yescharacteristic
91C22×C7×C8C2311yescharacteristic
92C4×C7×Q8D414yes—
93C4×C7×Q8C2314yes—
94C2×C7×C4⋊C4D411yescharacteristic
95C2×C7×C4⋊C4D411yescharacteristic
96C2×C7×C4⋊C4D411yescharacteristic
97C2×C42×C7C2311yescharacteristic
98C2×C42×C7C2311yescharacteristic
99C2×C42×C7C2311yescharacteristic
100#6509—28no—
101#6509—28no—
102C2×(C2×D7)⋊C4—21no—
103C2×(C2×D7)⋊C4—21no—
104C2×(C2×D7)⋊C4—21no—
105C2×(C2×D7)⋊C4—21no—
106C2×(C2×D7)⋊C4—21no—
107C2×(C2×D7)⋊C4—21no—
108C2×(C2×D7)⋊C4—21no—
109C2×(C2×D7)⋊C4—21no—
110C2×C4⋊Dic7—21no—
111C2×C4⋊Dic7—21no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7C2311yescharacteristic
114C2×C4⋊Dic7C2311yescharacteristic
115C2×C4⋊Dic7C2311yescharacteristic
116C2×C4⋊Dic7C2311yescharacteristic
117C2×Dic7⋊C4—21no—
118C2×Dic7⋊C4—21no—
119C2×Dic7⋊C4—21no—
120C2×Dic7⋊C4—21no—
121C2×Dic7⋊C4—21no—
122C2×Dic7⋊C4—21no—
123C2×C4×Dic7—21no—
124C2×C4×Dic7—21no—
125C2×D56—24no—
126C2×D56C2314yes—
127C2×#1132—24no—
128C2×#1132—24no—
129C2×#1132C2314yes—
130C2×#1132C2314yes—
131#6461—28no—
132#6461—28no—
133#6459—28no—
134#6459—28no—
135#6455—28no—
136D7×C4⋊C4—28no—
137#6438—22no—
138#6438—22no—
139#6438C2314yes—
140#6438C2314yes—
141C4×D28—22no—
142C4×D28—22no—
143C4×D28—22no—
144C4×D28—22no—
145C4×D28C2314yes—
146C4×D28C2314yes—
147C4×D28C2314yes—
148C4×D28C2314yes—
149#6433—22no—
150#6433—22no—
151#6433C2314yes—
152#6433C2314yes—
153#6432—22no—
154#6432—22no—
155#6432C2314yes—
156#6432C2314yes—
157C4×Dic14—22no—
158C4×Dic14—22no—
159C4×Dic14C2314yes—
160C4×Dic14C2314yes—
161C7×C4⋊C8C2314yes—
162C7×C4⋊C8C2314yes—
163C7×C4⋊C8C2314yes—
164C7×#97C2314yes—
165C7×#97C2314yes—
166C4×C7×C8C2314yes—
167#6395C2314yes—
168#6395C2314yes—
169#6395C2314yes—
170#6395C2314yes—
171#6392C2314yes—
172#6391C2314yes—
173#6391C2314yes—
174#6390C2314yes—
175#6390C2314yes—
176#6390C2314yes—
177#6390C2314yes—
178#6390C2314yes—
179#6390C2314yes—
180C2×#556—71no—
181C2×#554—71no—
182#3376—716no—
183C2×#491—71no—
184C2×#489—71no—
185C2×#488—71no—
186C2×#479—71no—
187C2×#475—71no—
188C2×#478—71no—
189C2×#463—71no—
190C2×#463—71no—
191C2×#461—71no—
192C2×#446D711yescharacteristic, complemented
193C2×#442—71no—
194C2×#440—71no—
195C2×C4×SD16—71no—
196C23×D7—21no—
197C23×D7—21no—
198C2×C7×Q8—42no—
199C2×C7×Q8C2×D414yes—
200C22×C4×C7C2×D411yescharacteristic
201C22×C4×C7C2×D411yescharacteristic
202C22×C4×C7C2×D411yescharacteristic
203C22×C4×C7C2×D411yescharacteristic
204C22×C4×C7C2×D411yescharacteristic
205C22×C4×C7C2×D411yescharacteristic
206C22×C4×C7C2411yescharacteristic
207C22×Dic7—21no—
208C22×Dic7—21no—
209C22×Dic7—21no—
210C22×Dic7—21no—
211C22×Dic7—21no—
212C22×Dic7—21no—
213C2×D28—21no—
214C2×D28—22no—
215C2×D28—22no—
216C2×D28—22no—
217C2×D28—21no—
218C2×D28#4114yes—
219C2×D28C2412yes—
220C2×D28C2412yes—
221C2×C4×D7—24no—
222C2×C4×D7—24no—
223C2×C4×D7—24no—
224C2×C4×D7—24no—
225C2×C4×D7—44no—
226C2×C4×D7—44no—
227C2×C4×D7—82no—
228C2×C4×D7—82no—
229C2×Dic14—22no—
230C2×Dic14—22no—
231C2×Dic14—22no—
232C2×Dic14—22no—
233C2×Dic14—21no—
234C2×Dic14—21no—
235C2×Dic14—24no—
236C2×Dic14—82no—
237C2×Dic14C2412yes—
238C2×Dic14C2412yes—
239C2×C7×C8—22no—
240C2×C7×C8—22no—
241C2×C7×C8—22no—
242C2×C7×C8—22no—
243C2×C7×C8C2412yes—
244C2×C7×C8C2412yes—
245C2×C7×C8C2412yes—
246C2×C7×C8C2412yes—
247C7×C4⋊C4C2×D414yes—
248C7×C4⋊C4C2×D414yes—
249C7×C4⋊C4C2×D414yes—
250C42×C7C2×D412yes—
251C42×C7C2×D412yes—
252C42×C7C2×D412yes—
253C42×C7C2412yes—
254C42×C7C2412yes—
255C42×C7C2412yes—
256(C2×D7)⋊C4—24no—
257(C2×D7)⋊C4—24no—
258(C2×D7)⋊C4—24no—
259(C2×D7)⋊C4—24no—
260(C2×D7)⋊C4—24no—
261(C2×D7)⋊C4—24no—
262(C2×D7)⋊C4—24no—
263(C2×D7)⋊C4—24no—
264C4⋊Dic7—21no—
265C4⋊Dic7—21no—
266C4⋊Dic7—21no—
267C4⋊Dic7—24no—
268C4⋊Dic7—24no—
269C4⋊Dic7—24no—
270C4⋊Dic7—21no—
271C4⋊Dic7C2412yes—
272C4⋊Dic7C2412yes—
273C4⋊Dic7C2412yes—
274C4⋊Dic7C2412yes—
275Dic7⋊C4—24no—
276Dic7⋊C4—24no—
277Dic7⋊C4—24no—
278Dic7⋊C4—24no—
279Dic7⋊C4—24no—
280Dic7⋊C4—24no—
281C4×Dic7—24no—
282C4×Dic7—24no—
283D56—28no—
284#1132—28no—
285#1132—28no—
286C22×SD16—71no—
287C22×SD16—71no—
288C22×D8—71no—
289#556—78no—
290#556—144no—
291#554—78no—
292#554—144no—
293C2×C4⋊Q8—71no—
294C2×C4⋊Q8—71no—
295C2×#126—141no—
296C2×#126—141no—
297C2×#125—71no—
298C2×#125—71no—
299C2×#124—71no—
300C2×#124—71no—
301C2×C22⋊Q8—141no—
302C2×C22⋊Q8—141no—
303C2×C22⋊Q8—141no—
304C2×C22⋊Q8—141no—
305C2×C4×Q8—71no—
306C2×C4×Q8—71no—
307C2×C4×Q8C2×D711yescharacteristic
308C2×C4×D4—71no—
309C2×C4×D4—71no—
310C2×C4×D4—71no—
311C2×C4×D4—71no—
312C2×#117—141no—
313C22×C4⋊C4—141no—
314#491—78no—
315#489—78no—
316#488—78no—
317#479—78no—
318#478—78no—
319#475—78no—
320#463—78no—
321#463—78no—
322#461—78no—
323#446C2×D718yescomplemented
324#442—78no—
325#440—78no—
326C4×SD16—78no—
327C2×#107—71no—
328C2×#106—71no—
329C2×#106—71no—
330C2×C4⋊C8C2×D711yescharacteristic
331C2×C4⋊C8C2×D711yescharacteristic
332C2×C4⋊C8C2×D711yescharacteristic
333C2×#103—71no—
334C2×#103—71no—
335C2×#103—71no—
336C2×#103—71no—
337C2×#103—71no—
338C2×#103—71no—
339C2×#102—71no—
340C2×#102—71no—
341C2×#102—71no—
342C2×#102—71no—
343C2×#97C2×D711yescharacteristic
344C2×#97C2×D711yescharacteristic
345C2×C4×C8C2×D711yescharacteristic
346C23×C7C22×D411yescharacteristic
347C22×D7—24no—
348C22×D7—22no—
349C22×D7—22no—
350C22×D7—42no—
351C22×D7—42no—
352C22×D7—42no—
353C22×D7—42no—
354C22×D7—42no—
355C7×Q8—44no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7C22×D412yes—
363C2×C4×C7C22×D412yes—
364C2×C4×C7C22×D412yes—
365C2×C4×C7C22×D412yes—
366C2×C4×C7C22×D412yes—
367C2×C4×C7C22×D412yes—
368C2×C4×C7C22×D411yescharacteristic
369C2×C4×C7C2×#4112yes—
370C2×C4×C72−1+412yes—
371C2×C4×C7C2511yescharacteristic
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—42no—
379C2×Dic7—42no—
380C2×Dic7—42no—
381C2×Dic7—42no—
382C2×Dic7—42no—
383C2×Dic7—42no—
384D28—24no—
385D28—22no—
386D28—22no—
387D28—22no—
388D28—42no—
389D28C2×#4114yes—
390C4×D7—48no—
391C4×D7—48no—
392C4×D7—84no—
393C4×D7—84no—
394Dic14—22no—
395Dic14—22no—
396Dic14—22no—
397Dic14—22no—
398Dic14—42no—
399Dic14—42no—
400Dic14—84no—
401C7×C8—22no—
402C7×C8—22no—
403C7×C8—22no—
404C7×C8—22no—
405C22×Q8—71no—
406C22×Q8—71no—
407C22×Q8—141no—
408C22×Q8D2811yescharacteristic
409C22×D4—71no—
410C22×D4—71no—
411C23×C4—141no—
412C23×C4—141no—
413C23×C4—141no—
414C23×C4—141no—
415C2×SD16—74no—
416C2×SD16—74no—
417C2×SD16—144no—
418C2×SD16—144no—
419C2×D8—74no—
420C2×D8—144no—
421C22×C8C22×D711yescharacteristic
422C22×C8C22×D711yescharacteristic
423C22×C8C22×D711yescharacteristic
424C22×C8C22×D711yescharacteristic
425C4⋊Q8—74no—
426C4⋊Q8—74no—
427C4⋊Q8—142no—
428C4⋊Q8—142no—
429#126—148no—
430#126—148no—
431#125—74no—
432#125—74no—
433#125—142no—
434#125—142no—
435#124—74no—
436#124—74no—
437#124—142no—
438#124—142no—
439C22⋊Q8—148no—
440C22⋊Q8—148no—
441C22⋊Q8—148no—
442C22⋊Q8—148no—
443C4×Q8—74no—
444C4×Q8—74no—
445C4×Q8—142no—
446C4×Q8—142no—
447C4×Q8D2814yes—
448C4×Q8C22×D714yes—
449C4×D4—74no—
450C4×D4—74no—
451C4×D4—74no—
452C4×D4—74no—
453C4×D4—142no—
454C4×D4—142no—
455C4×D4—142no—
456C4×D4—142no—
457#117—148no—
458C2×C4⋊C4—71no—
459C2×C4⋊C4—71no—
460C2×C4⋊C4—71no—
461C2×C4⋊C4—71no—
462C2×C4⋊C4—141no—
463C2×C4⋊C4—141no—
464C2×C4⋊C4—141no—
465C2×C4⋊C4—141no—
466C2×C4⋊C4—141no—
467C2×C4⋊C4—141no—
468C2×C4⋊C4—141no—
469C2×C4⋊C4—141no—
470C2×C4⋊C4—141no—
471C2×C4⋊C4—148no—
472C2×C4⋊C4D2811yescharacteristic
473C2×C4⋊C4D2811yescharacteristic
474C2×C4⋊C4D2811yescharacteristic
475C2×C22⋊C4—141no—
476C2×C22⋊C4—141no—
477C2×C22⋊C4—141no—
478C2×C22⋊C4—141no—
479C2×C22⋊C4—141no—
480C2×C22⋊C4—141no—
481C2×C22⋊C4—141no—
482C2×C22⋊C4—141no—
483C2×C42—141no—
484C2×C42—141no—
485C2×C42C22×D711yescharacteristic
486C2×C42C22×D711yescharacteristic
487C2×C42C22×D711yescharacteristic
488#107—74no—
489#106—74no—
490#106—74no—
491C4⋊C8C22×D714yes—
492C4⋊C8C22×D714yes—
493C4⋊C8C22×D714yes—
494#103—74no—
495#103—74no—
496#103—74no—
497#103—74no—
498#103—74no—
499#103—74no—
500#102—74no—
501#102—74no—
502#102—74no—
503#102—74no—
504#97C22×D714yes—
505#97C22×D714yes—
506C4×C8C22×D714yes—
507C22×C7#54812yes—
508C22×C7#57512yes—
509C22×C7#57712yes—
510C22×C7C23×D411yescharacteristic
511C2×D7—24no—
512C2×D7—48no—
513C2×D7—42no—
514C2×D7—42no—
515C2×D7—42no—
516C2×D7—42no—
517C2×D7—42no—
518C2×D7—84no—
519C4×C7—22no—
520C4×C7—22no—
521C4×C7—22no—
522C4×C7—22no—
523C4×C7—22no—
524C4×C7—22no—
525C4×C7#54812yes—
526C4×C7C22×#4111yescharacteristic
527C4×C7C2×2−1+411yescharacteristic
528Dic7—42no—
529Dic7—42no—
530Dic7—42no—
531Dic7—42no—
532Dic7—42no—
533Dic7—42no—
534C24—141no—
535C24—141no—
536C2×Q8—42no—
537C2×Q8—72no—
538C2×Q8—72no—
539C2×Q8—141no—
540C2×Q8—141no—
541C2×Q8—144no—
542C2×Q8—142no—
543C2×Q8—142no—
544C2×Q8—142no—
545C2×Q8—142no—
546C2×Q8—562no—
547C2×Q8C2×D2814yes—
548C2×D4—74no—
549C2×D4—72no—
550C2×D4—72no—
551C2×D4—141no—
552C2×D4—141no—
553C2×D4—142no—
554C2×D4—142no—
555C2×D4—142no—
556C22×C4—141no—
557C22×C4—141no—
558C22×C4—141no—
559C22×C4—141no—
560C22×C4—141no—
561C22×C4—141no—
562C22×C4—144no—
563C22×C4—144no—
564C22×C4—144no—
565C22×C4—144no—
566C22×C4—284no—
567C22×C4—284no—
568C22×C4—562no—
569C22×C4—562no—
570C22×C4C2×D2811yescharacteristic
571C22×C4C2×D2811yescharacteristic
572C22×C4C2×D2811yescharacteristic
573C22×C4C2×D2811yescharacteristic
574C22×C4C2×D2811yescharacteristic
575C22×C4C2×D2811yescharacteristic
576C22×C4C23×D711yescharacteristic
577SD16—148no—
578SD16—148no—
579D8—148no—
580C2×C8—22no—
581C2×C8—22no—
582C2×C8—22no—
583C2×C8—22no—
584C2×C8C23×D712yes—
585C2×C8C23×D712yes—
586C2×C8C23×D712yes—
587C2×C8C23×D712yes—
588C4⋊C4—72no—
589C4⋊C4—72no—
590C4⋊C4—72no—
591C4⋊C4—72no—
592C4⋊C4—144no—
593C4⋊C4—144no—
594C4⋊C4—144no—
595C4⋊C4—144no—
596C4⋊C4—144no—
597C4⋊C4—144no—
598C4⋊C4—141no—
599C4⋊C4—141no—
600C4⋊C4—141no—
601C4⋊C4—141no—
602C4⋊C4—144no—
603C4⋊C4—144no—
604C4⋊C4—144no—
605C4⋊C4C2×D2814yes—
606C4⋊C4C2×D2814yes—
607C4⋊C4C2×D2814yes—
608C22⋊C4—144no—
609C22⋊C4—144no—
610C22⋊C4—144no—
611C22⋊C4—144no—
612C22⋊C4—144no—
613C22⋊C4—144no—
614C22⋊C4—144no—
615C22⋊C4—144no—
616C42—144no—
617C42—144no—
618C42C2×D2812yes—
619C42C2×D2812yes—
620C42C2×D2812yes—
621C42C23×D712yes—
622C42C23×D712yes—
623C42C23×D712yes—
624C2×C7#337614yescomplemented
625C2×C7C2×#54811yescharacteristic
626C2×C7C2×#57511yescharacteristic
627C2×C7C2×#57711yescharacteristic
628D7—44no—
629D7—82no—
630C23—144no—
631C23—142no—
632C23—142no—
633C23—282no—
634C23—282no—
635C23—282no—
636C23—282no—
637C23—282no—
638C23C22×D2811yescharacteristic
639Q8—44no—
640Q8—142no—
641Q8—142no—
642Q8—142no—
643Q8—142no—
644Q8—282no—
645Q8—282no—
646Q8—564no—
647D4—74no—
648D4—144no—
649D4—142no—
650D4—142no—
651D4—142no—
652D4—282no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—142no—
660C2×C4—142no—
661C2×C4—142no—
662C2×C4—142no—
663C2×C4—142no—
664C2×C4—142no—
665C2×C4—288no—
666C2×C4—288no—
667C2×C4—282no—
668C2×C4—282no—
669C2×C4—282no—
670C2×C4—282no—
671C2×C4—282no—
672C2×C4—282no—
673C2×C4—564no—
674C2×C4—564no—
675C2×C4C22×D2812yes—
676C2×C4C22×D2812yes—
677C2×C4C22×D2812yes—
678C2×C4C22×D2812yes—
679C2×C4C22×D2812yes—
680C2×C4C22×D2812yes—
681C2×C4C22×D2811yescharacteristic
682C2×C4#655112yes—
683C2×C4D7×#4112yes—
684C2×C4C24×D711yescharacteristic
685C8—22no—
686C8—22no—
687C8—22no—
688C8—22no—
689C7C2×#337611yescharacteristic, complemented, Sylow
690C22—144no—
691C22—288no—
692C22—282no—
693C22—282no—
694C22—282no—
695C22—282no—
696C22—282no—
697C22—564no—
698C22#9026712yes—
699C22#9043912yes—
700C22#9044212yes—
701C22C23×D2811yescharacteristic
702C4—22no—
703C4—22no—
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—282no—
709C4—282no—
710C4—282no—
711C4—282no—
712C4—282no—
713C4—282no—
714C4#9026712yes—
715C4C2×#655111yescharacteristic
716C4C2×D7×#4111yescharacteristic
717C2—284no—
718C2—562no—
719C2#1173741914yesdirect product factor
720C2C2×#9026711yescharacteristic
721C2C2×#9043911yescharacteristic
722C2C2×#9044211yescharacteristic
subgroupG/H
centerC23C22×D28
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#446C2
socleC23×C7C22×D4
prime radicalC22×D56C22
hypercenterC2×#446D7
hypocenterC7C2×#3376
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#90270C2semidirect
2. C2×#90275C2semidirect
3. C2×C7×#446C2semidirect
4. #11737419C2direct (N × H)
5. C2×#89601C2semidirect
6. C2×#89623C2semidirect
7. C2×#89619C2semidirect
10. C2×#89613C2semidirect
11. C2×#89475C2semidirect
12. C2×#89486C2semidirect
14. C2×#89482C2semidirect
15. C2×C4×#1132C2semidirect
16. C2×#89469C2semidirect
24. #90275C22semidirect
26. #90270C22semidirect
45. C7×#446C22semidirect
65. #89623C22semidirect
66. #89619C22semidirect
69. #89613C22semidirect
70. #89601C22semidirect
71. #89486C22semidirect
73. #89482C22semidirect
74. #89475C22semidirect
75. #89469C22semidirect
76. C4×#1132C22semidirect
192. C2×#446D7semidirect
323. #446C2×D7semidirect
624. C2×C7#3376semidirect
689. C7C2×#3376semidirect
719. C2#11737419direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#902702
C2×#902752
C2×C7×#4462
#117374192
C2×#896012
C2×#896232
C2×#896192
C2×#896162
C2×#896132
C2×#894752
C2×#894862
C2×#894832
C2×#894822
C2×C4×#11322
C2×#894692
C2×#33767