Finite Group Databasebeta

← C2×#11739179 #14233556

Subgroups — C2×#11739179 #14233556

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×#90423C211yesmaximal, characteristic, complemented
2C2×#90381C211yesmaximal, characteristic, complemented
3C2×C7×#491C211yesmaximal, characteristic, complemented
4C2×#89855C211yesmaximal, characteristic, complemented
5C2×#89838C211yesmaximal, characteristic, complemented
6#11739179C2116yesmaximal, direct product factor
7C2×#89591C211yesmaximal, characteristic
8C2×#89591C211yesmaximal, characteristic
9C2×#89567C211yesmaximal, characteristic, complemented
10C2×#89572C211yesmaximal, characteristic, complemented
11C2×#89571C211yesmaximal, characteristic, complemented
12C2×#89563C211yesmaximal, characteristic, complemented
13C2×#89589C211yesmaximal, characteristic, complemented
14C2×#89560C211yesmaximal, characteristic, complemented
15C2×#89483C211yesmaximal, characteristic
16C2×#89473C211yesmaximal, characteristic, complemented
17C2×C7×C4⋊Q8C2211yescharacteristic
18C2×C7×#125C2211yescharacteristic
19C2×#6510C2211yescharacteristic
20C2×#6510C2211yescharacteristic
21C2×Q8×Dic7C2211yescharacteristic
22C2×Q8×Dic7C2211yescharacteristic
23C22×#1143C2211yescharacteristic
24C22×#1143C2211yescharacteristic
25C22×D56C2211yescharacteristic
26#90423—24no—
27#90423C2218yescomplemented
28#90381—24no—
29#90381C2218yescomplemented
30C2×#6461—21no—
31C2×#6461—21no—
32C2×#6460—21no—
33C2×#6460—21no—
34C2×#6459—21no—
35C2×#6459—21no—
36C2×#6456C2211yescharacteristic
37C2×#6456C2211yescharacteristic
38C2×#6455—21no—
39C2×D7×C4⋊C4—21no—
40C2×#6453C2211yescharacteristic
41C2×#6451C2211yescharacteristic
42C2×C4×D28C2211yescharacteristic
43C2×C4×D28C2211yescharacteristic
44C2×C4×Dic14C2211yescharacteristic
45C7×#491C2218yescomplemented
46C2×C7×#103C2211yescharacteristic
47C2×C7×#103C2211yescharacteristic
48C2×C7×#103C2211yescharacteristic
49C2×C7×#103C2211yescharacteristic
50C2×C7×#97C2211yescharacteristic
51C2×#6409C2211yescharacteristic
52C2×#6409C2211yescharacteristic
53C2×#6395C2211yescharacteristic
54C2×#6395C2211yescharacteristic
55C2×#6391C2211yescharacteristic
56C2×#6389C2211yescharacteristic
57C2×Dic7⋊C8C2211yescharacteristic
58C2×Dic7⋊C8C2211yescharacteristic
59C2×C8×Dic7C2211yescharacteristic
60#89855C2218yescomplemented
61#89838C2218yescomplemented
62C2×#6383C2211yescharacteristic
63C2×#6383C2211yescharacteristic
64C2×#6382C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4⋊(C7⋊C8)C2211yescharacteristic
67#89591C2218yes—
68#89591C2218yes—
69#89589C2218yescomplemented
70#89572C2218yescomplemented
71#89571C2218yescomplemented
72#89567C2218yescomplemented
73#89563C2218yescomplemented
74#89560C2218yescomplemented
75#89483C2218yes—
76#89473C2218yescomplemented
77C2×#3376—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×C7×Q8C2311yescharacteristic
80C22×D28C2311yescharacteristic
81C22×D28C2311yescharacteristic
82C22×C4×D7—21no—
83C22×C4×D7—21no—
84C22×C4×D7—21no—
85C22×C4×D7—21no—
86C22×Dic14—21no—
87C22×Dic14D411yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C22×C7×C8C2311yescharacteristic
90C7×C4⋊Q8—22no—
91C7×C4⋊Q8C2314yes—
92C7×#125—22no—
93C7×#125C2314yes—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4—21no—
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C4⋊C4C2311yescharacteristic
100C2×C42×C7C2311yescharacteristic
101#6510—22no—
102#6510—22no—
103#6510C2314yes—
104#6510C2314yes—
105Q8×Dic7—22no—
106Q8×Dic7—22no—
107Q8×Dic7C2314yes—
108Q8×Dic7C2314yes—
109C2×#1143—24no—
110C2×#1143—24no—
111C2×#1143C2314yes—
112C2×#1143C2314yes—
113C2×(C2×D7)⋊C4—21no—
114C2×(C2×D7)⋊C4—21no—
115C2×(C2×D7)⋊C4—21no—
116C2×(C2×D7)⋊C4—21no—
117C2×(C2×D7)⋊C4—21no—
118C2×(C2×D7)⋊C4—21no—
119C2×(C2×D7)⋊C4—21no—
120C2×(C2×D7)⋊C4—21no—
121C2×C4⋊Dic7—21no—
122C2×C4⋊Dic7—21no—
123C2×C4⋊Dic7—21no—
124C2×C4⋊Dic7D411yescharacteristic
125C2×C4⋊Dic7C2311yescharacteristic
126C2×C4⋊Dic7C2311yescharacteristic
127C2×Dic7⋊C4—21no—
128C2×Dic7⋊C4—21no—
129C2×Dic7⋊C4D411yescharacteristic
130C2×Dic7⋊C4D411yescharacteristic
131C2×C4×Dic7—21no—
132C2×C4×Dic7—21no—
133C2×C4×Dic7C2311yescharacteristic
134C2×C4×Dic7C2311yescharacteristic
135C22×C7⋊C8C2311yescharacteristic
136C22×C7⋊C8C2311yescharacteristic
137C2×D56—24no—
138C2×D56C2314yes—
139#6461—28no—
140#6461—28no—
141#6460—28no—
142#6460—28no—
143#6459—28no—
144#6459—28no—
145#6456—22no—
146#6456—22no—
147#6456C2314yes—
148#6456C2314yes—
149#6455—28no—
150D7×C4⋊C4—28no—
151#6453—22no—
152#6453C2314yes—
153#6451—22no—
154#6451C2314yes—
155C4×D28—22no—
156C4×D28—22no—
157C4×D28C2314yes—
158C4×D28C2314yes—
159C4×Dic14D414yes—
160C4×Dic14C2314yes—
161C7×#103C2314yes—
162C7×#103C2314yes—
163C7×#103C2314yes—
164C7×#103C2314yes—
165C7×#97C2314yes—
166#6409C2314yes—
167#6409C2314yes—
168#6395C2314yes—
169#6395C2314yes—
170#6391C2314yes—
171#6389C2314yes—
172Dic7⋊C8C2314yes—
173Dic7⋊C8C2314yes—
174C8×Dic7C2314yes—
175#6383C2314yes—
176#6383C2314yes—
177#6382C2314yes—
178#6381C2314yes—
179C4⋊(C7⋊C8)C2314yes—
180C2×#556—71no—
181C2×#554—71no—
182#3376—716no—
183C2×#491D711yescharacteristic, complemented
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×#446—71no—
193C2×#442—71no—
194C2×#440—71no—
195C2×C4×SD16—71no—
196C23×D7—21no—
197C23×D7—21no—
198C2×C7×Q8—21no—
199C2×C7×Q8—21no—
200C2×C7×Q8—22no—
201C2×C7×Q8—22no—
202C2×C7×Q8—22no—
203C2×C7×Q8—22no—
204C2×C7×Q8C2412yes—
205C2×C7×Q8C2412yes—
206C22×C4×C7—21no—
207C22×C4×C7—21no—
208C22×C4×C7—21no—
209C22×C4×C7—21no—
210C22×C4×C7C2×D411yescharacteristic
211C22×C4×C7C2×D411yescharacteristic
212C22×C4×C7C2411yescharacteristic
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7C2×D411yescharacteristic
216C22×Dic7C2×D411yescharacteristic
217C22×Dic7C2×D411yescharacteristic
218C22×Dic7C2×D411yescharacteristic
219C2×D28—21no—
220C2×D28—22no—
221C2×D28—22no—
222C2×D28—22no—
223C2×D28—21no—
224C2×D28#4114yes—
225C2×D28C2412yes—
226C2×D28C2412yes—
227C2×C4×D7—24no—
228C2×C4×D7—24no—
229C2×C4×D7—24no—
230C2×C4×D7—24no—
231C2×C4×D7—44no—
232C2×C4×D7—44no—
233C2×C4×D7—82no—
234C2×C4×D7—82no—
235C2×Dic14—24no—
236C2×Dic14—42no—
237C2×Dic14—82no—
238C2×Dic14C2×D414yes—
239C2×C7×C8—22no—
240C2×C7×C8—22no—
241C2×C7×C8C2412yes—
242C2×C7×C8C2412yes—
243C7×C4⋊C4—21no—
244C7×C4⋊C4—21no—
245C7×C4⋊C4—24no—
246C7×C4⋊C4—24no—
247C7×C4⋊C4—24no—
248C7×C4⋊C4—24no—
249C7×C4⋊C4C2412yes—
250C7×C4⋊C4C2412yes—
251C42×C7C2×D412yes—
252C42×C7C2412yes—
253#1143—28no—
254#1143—28no—
255(C2×D7)⋊C4—24no—
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—
263C4⋊Dic7—21no—
264C4⋊Dic7—21no—
265C4⋊Dic7—24no—
266C4⋊Dic7—24no—
267C4⋊Dic7—24no—
268C4⋊Dic7C2×D414yes—
269C4⋊Dic7C2412yes—
270C4⋊Dic7C2412yes—
271Dic7⋊C4—24no—
272Dic7⋊C4—24no—
273Dic7⋊C4C2×D414yes—
274Dic7⋊C4C2×D414yes—
275C4×Dic7—24no—
276C4×Dic7—24no—
277C4×Dic7C2×D412yes—
278C4×Dic7C2×D412yes—
279C4×Dic7C2412yes—
280C4×Dic7C2412yes—
281C2×C7⋊C8—22no—
282C2×C7⋊C8—22no—
283C2×C7⋊C8C2412yes—
284C2×C7⋊C8C2412yes—
285D56—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⋊Q8C2×D711yescharacteristic
295C2×#126—141no—
296C2×#126—141no—
297C2×#125—71no—
298C2×#125C2×D711yescharacteristic
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×Q8—71no—
308C2×C4×D4—71no—
309C2×C4×D4—71no—
310C2×C4×D4—71no—
311C2×C4×D4—71no—
312C2×#117—141no—
313C22×C4⋊C4—141no—
314#491C2×D718yescomplemented
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#446—78no—
324#442—78no—
325#440—78no—
326C4×SD16—78no—
327C2×#107—71no—
328C2×#106—71no—
329C2×#106—71no—
330C2×C4⋊C8—71no—
331C2×C4⋊C8—71no—
332C2×C4⋊C8—71no—
333C2×#103—71no—
334C2×#103—71no—
335C2×#103C2×D711yescharacteristic
336C2×#103C2×D711yescharacteristic
337C2×#103C2×D711yescharacteristic
338C2×#103C2×D711yescharacteristic
339C2×#102—71no—
340C2×#102—71no—
341C2×#102—71no—
342C2×#102—71no—
343C2×#97—71no—
344C2×#97C2×D711yescharacteristic
345C2×C4×C8—71no—
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—22no—
356C7×Q8—22no—
357C7×Q8—22no—
358C7×Q8—22no—
359C7×Q8—42no—
360C7×Q8—42no—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7—22no—
364C2×C4×C7—22no—
365C2×C4×C7—22no—
366C2×C4×C7—22no—
367C2×C4×C7—42no—
368C2×C4×C7—42no—
369C2×C4×C7—42no—
370C2×C4×C7—42no—
371C2×C4×C7C22×D412yes—
372C2×C4×C7C22×D412yes—
373C2×C4×C7C22×D411yescharacteristic
374C2×C4×C7C2×#4112yes—
375C2×C4×C72−1+412yes—
376C2×C4×C7C2511yescharacteristic
377C2×Dic7—22no—
378C2×Dic7—22no—
379C2×Dic7—22no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—22no—
383C2×Dic7—42no—
384C2×Dic7—42no—
385C2×Dic7C22×D412yes—
386C2×Dic7C22×D412yes—
387C2×Dic7C22×D412yes—
388C2×Dic7C22×D412yes—
389D28—24no—
390D28—22no—
391D28—22no—
392D28—22no—
393D28—42no—
394D28C2×#4114yes—
395C4×D7—48no—
396C4×D7—48no—
397C4×D7—84no—
398C4×D7—84no—
399Dic14—44no—
400Dic14—84no—
401C7×C8—22no—
402C7×C8—22no—
403C7⋊C8—22no—
404C7⋊C8—22no—
405C22×Q8—71no—
406C22×Q8—141no—
407C22×Q8C22×D711yescharacteristic
408C22×Q8C22×D711yescharacteristic
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×C8—71no—
422C22×C8—71no—
423C22×C8C22×D711yescharacteristic
424C22×C8C22×D711yescharacteristic
425C4⋊Q8—22no—
426C4⋊Q8—74no—
427C4⋊Q8—142no—
428C4⋊Q8C22×D714yes—
429#126—148no—
430#126—148no—
431#125—22no—
432#125—74no—
433#125—142no—
434#125C22×D714yes—
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—74no—
446C4×Q8—74no—
447C4×Q8—142no—
448C4×Q8—142no—
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—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—71no—
463C2×C4⋊C4—71no—
464C2×C4⋊C4—71no—
465C2×C4⋊C4—71no—
466C2×C4⋊C4—71no—
467C2×C4⋊C4—148no—
468C2×C4⋊C4—141no—
469C2×C4⋊C4—141no—
470C2×C4⋊C4—141no—
471C2×C4⋊C4—141no—
472C2×C4⋊C4—141no—
473C2×C4⋊C4C22×D711yescharacteristic
474C2×C4⋊C4C22×D711yescharacteristic
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—71no—
484C2×C42—71no—
485C2×C42—141no—
486C2×C42—141no—
487C2×C42C22×D711yescharacteristic
488#107—74no—
489#106—74no—
490#106—74no—
491C4⋊C8—74no—
492C4⋊C8—74no—
493C4⋊C8—74no—
494#103—74no—
495#103—74no—
496#103C22×D714yes—
497#103C22×D714yes—
498#103C22×D714yes—
499#103C22×D714yes—
500#102—74no—
501#102—74no—
502#102—74no—
503#102—74no—
504#97—74no—
505#97C22×D714yes—
506C4×C8—74no—
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—42no—
522C4×C7—42no—
523C4×C7—42no—
524C4×C7—42no—
525C4×C7#54812yes—
526C4×C7C22×#4111yescharacteristic
527C4×C7C2×2−1+411yescharacteristic
528Dic7—22no—
529Dic7—22no—
530Dic7—22no—
531Dic7—22no—
532Dic7—42no—
533Dic7—42no—
534C24—141no—
535C24—141no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—22no—
541C2×Q8—22no—
542C2×Q8—74no—
543C2×Q8—144no—
544C2×Q8—282no—
545C2×Q8—562no—
546C2×Q8C23×D712yes—
547C2×Q8C23×D712yes—
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—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—71no—
561C22×C4—71no—
562C22×C4—71no—
563C22×C4—71no—
564C22×C4—144no—
565C22×C4—144no—
566C22×C4—141no—
567C22×C4—141no—
568C22×C4—144no—
569C22×C4—144no—
570C22×C4—284no—
571C22×C4—284no—
572C22×C4—562no—
573C22×C4—562no—
574C22×C4D4×D711yescharacteristic
575C22×C4D4×D711yescharacteristic
576C22×C4C23×D711yescharacteristic
577SD16—148no—
578SD16—148no—
579D8—148no—
580C2×C8—22no—
581C2×C8—22no—
582C2×C8—72no—
583C2×C8—72no—
584C2×C8—142no—
585C2×C8—142no—
586C2×C8C23×D712yes—
587C2×C8C23×D712yes—
588C4⋊C4—24no—
589C4⋊C4—24no—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—74no—
595C4⋊C4—74no—
596C4⋊C4—74no—
597C4⋊C4—72no—
598C4⋊C4—72no—
599C4⋊C4—144no—
600C4⋊C4—144no—
601C4⋊C4—144no—
602C4⋊C4—144no—
603C4⋊C4—144no—
604C4⋊C4—141no—
605C4⋊C4—141no—
606C4⋊C4C23×D712yes—
607C4⋊C4C23×D712yes—
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—72no—
617C42—72no—
618C42—72no—
619C42—72no—
620C42—144no—
621C42—144no—
622C42D4×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—
638C23C2×D4×D711yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—22no—
643Q8—42no—
644Q8—42no—
645Q8—284no—
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—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—72no—
664C2×C4—72no—
665C2×C4—72no—
666C2×C4—72no—
667C2×C4—142no—
668C2×C4—142no—
669C2×C4—142no—
670C2×C4—142no—
671C2×C4—142no—
672C2×C4—142no—
673C2×C4—288no—
674C2×C4—288no—
675C2×C4—282no—
676C2×C4—282no—
677C2×C4—564no—
678C2×C4—564no—
679C2×C4C2×D4×D712yes—
680C2×C4C2×D4×D712yes—
681C2×C4C2×D4×D711yescharacteristic
682C2×C4D7×#4112yes—
683C2×C4#655412yes—
684C2×C4C24×D711yescharacteristic
685C8—22no—
686C8—22no—
687C8—142no—
688C8—142no—
689C7C2×#337611yescharacteristic, complemented, Sylow
690C22—144no—
691C22—282no—
692C22—282no—
693C22—288no—
694C22—282no—
695C22—282no—
696C22—282no—
697C22—564no—
698C22#9036812yes—
699C22#9046812yes—
700C22#9046912yes—
701C22C22×D4×D711yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—42no—
706C4—42no—
707C4—42no—
708C4—142no—
709C4—142no—
710C4—142no—
711C4—142no—
712C4—282no—
713C4—282no—
714C4#9036812yes—
715C4C2×D7×#4111yescharacteristic
716C4C2×#655411yescharacteristic
717C2—284no—
718C2—562no—
719C2#1173917914yesdirect product factor
720C2C2×#9036811yescharacteristic
721C2C2×#9046811yescharacteristic
722C2C2×#9046911yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#491C2
socleC23×C7C22×D4
prime radicalC22×D56C22
hypercenterC2×#491D7
hypocenterC7C2×#3376
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#491

Complements

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

NH ≅ G/Ntype
1. C2×#90423C2semidirect
2. C2×#90381C2semidirect
3. C2×C7×#491C2semidirect
4. C2×#89855C2semidirect
5. C2×#89838C2semidirect
6. #11739179C2direct (N × H)
9. C2×#89567C2semidirect
10. C2×#89572C2semidirect
11. C2×#89571C2semidirect
12. C2×#89563C2semidirect
13. C2×#89589C2semidirect
14. C2×#89560C2semidirect
16. C2×#89473C2semidirect
27. #90423C22semidirect
29. #90381C22semidirect
45. C7×#491C22semidirect
60. #89855C22semidirect
61. #89838C22semidirect
69. #89589C22semidirect
70. #89572C22semidirect
71. #89571C22semidirect
72. #89567C22semidirect
73. #89563C22semidirect
74. #89560C22semidirect
76. #89473C22semidirect
183. C2×#491D7semidirect
314. #491C2×D7semidirect
624. C2×C7#3376semidirect
689. C7C2×#3376semidirect
719. C2#11739179direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#904232
C2×#903812
C2×C7×#4912
C2×#898552
C2×#898382
#117391792
C2×#895912
C2×#895672
C2×#895722
C2×#895712
C2×#895632
C2×#895892
C2×#895602
C2×#894832
C2×#894732
C2×#33767