Finite Group Databasebeta

← C2×#11738555 #14221362

Subgroups — C2×#11738555 #14221362

Order 1792.

2018 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90420C211yesmaximal, characteristic
2C2×#90263C211yesmaximal, characteristic
3C2×C7×#477C211yesmaximal, characteristic, complemented
4C2×#89866C211yesmaximal, characteristic, complemented
5C2×#89794C211yesmaximal, characteristic, complemented
6#11738555C2116yesmaximal, direct product factor
7C2×#89649C211yesmaximal, characteristic, complemented
8C2×#89647C211yesmaximal, characteristic, complemented
9C2×#89653C211yesmaximal, characteristic
10C2×#89652C211yesmaximal, characteristic
11C2×#89601C211yesmaximal, characteristic, complemented
12C2×#89611C211yesmaximal, characteristic
13C2×#89574C211yesmaximal, characteristic
14C2×D7×#103C211yesmaximal, characteristic
15C2×#89568C211yesmaximal, characteristic, complemented
16C2×#89563C211yesmaximal, characteristic, complemented
17C22×Q8×D7C2211yescharacteristic
18C2×C7×C4⋊Q8C2211yescharacteristic
19C2×C4×C7×Q8C2211yescharacteristic
20C2×#6509—21no—
21C2×Q8×Dic7C2211yescharacteristic
22C2×#6507—21no—
23C22×#1131C2211yescharacteristic
24C22×C8×D7C2211yescharacteristic
25#90420—24no—
26#90420C2218yes—
27#90263—24no—
28#90263C2218yes—
29C2×#6459—21no—
30C2×#6455—21no—
31C2×#6455C2211yescharacteristic
32C2×#6455C2211yescharacteristic
33C2×D7×C4⋊C4C2211yescharacteristic
34C2×#6453C2211yescharacteristic
35C2×#6452—21no—
36C2×#6451C2211yescharacteristic
37C2×#6450—21no—
38C2×#6450C2211yescharacteristic
39C2×#6435—21no—
40C2×#6435C2211yescharacteristic
41C2×#6433C2211yescharacteristic
42C2×C4×Dic14—21no—
43C2×C4×Dic14C2211yescharacteristic
44C7×#477C2218yescomplemented
45C2×C7×#107C2211yescharacteristic
46C2×C7×#107C2211yescharacteristic
47C2×C7×C4⋊C8C2211yescharacteristic
48C2×C7×#103C2211yescharacteristic
49C2×C7×#103C2211yescharacteristic
50C2×#6409C2211yescharacteristic
51C2×#6409C2211yescharacteristic
52C2×#6392C2211yescharacteristic
53C2×#6391C2211yescharacteristic
54C2×#6390C2211yescharacteristic
55C2×#6390C2211yescharacteristic
56C2×Dic7⋊C8C2211yescharacteristic
57C2×Dic7⋊C8C2211yescharacteristic
58#89866C2218yescomplemented
59#89794C2218yescomplemented
60C2×#6384C2211yescharacteristic
61C2×#6384C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6382C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4⋊(C7⋊C8)C2211yescharacteristic
67#89653C2218yes—
68#89652C2218yes—
69#89649C2218yescomplemented
70#89647C2218yescomplemented
71#89611C2218yes—
72#89601C2218yescomplemented
73#89574C2218yes—
74D7×#103C2218yes—
75#89568C2218yescomplemented
76#89563C2218yescomplemented
77C2×#3082—71nomaximal, Sylow
78C22×C7×Q8—21no—
79C22×C7×Q8C2311yescharacteristic
80C2×Q8×D7—22no—
81C2×Q8×D7—24no—
82C2×Q8×D7Q818yescomplemented
83C2×Q8×D7C2314yes—
84C22×C4×D7—21no—
85C22×C4×D7—21no—
86C22×C4×D7C2311yescharacteristic
87C22×Dic14—21no—
88C22×Dic14—21no—
89C22×Dic14C2311yescharacteristic
90C22×C7×C8C2311yescharacteristic
91C22×C7×C8C2311yescharacteristic
92C7×C4⋊Q8—22no—
93C7×C4⋊Q8C2314yes—
94C4×C7×Q8—22no—
95C4×C7×Q8C2314yes—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4—21no—
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C4⋊C4C2311yescharacteristic
100C2×C7×C4⋊C4C2311yescharacteristic
101C2×C42×C7—21no—
102C2×C42×C7C2311yescharacteristic
103#6509—28no—
104Q8×Dic7—22no—
105Q8×Dic7C2314yes—
106#6507—28no—
107C2×(C2×D7)⋊C4—21no—
108C2×(C2×D7)⋊C4—21no—
109C2×(C2×D7)⋊C4D411yescharacteristic
110C2×(C2×D7)⋊C4D411yescharacteristic
111C2×C4⋊Dic7—21no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7C2311yescharacteristic
114C2×C4⋊Dic7C2311yescharacteristic
115C2×C4⋊Dic7C2311yescharacteristic
116C2×Dic7⋊C4—21no—
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×Dic7⋊C4D411yescharacteristic
124C2×Dic7⋊C4D411yescharacteristic
125C2×C4×Dic7—21no—
126C2×C4×Dic7—21no—
127C2×C4×Dic7—21no—
128C2×C4×Dic7—21no—
129C2×C4×Dic7—21no—
130C2×C4×Dic7C2311yescharacteristic
131C22×C7⋊C8C2311yescharacteristic
132C22×C7⋊C8C2311yescharacteristic
133C2×#1131—24no—
134C2×#1131C2314yes—
135C2×C8×D7—24no—
136C2×C8×D7C2314yes—
137#6459—28no—
138#6455—22no—
139#6455—22no—
140#6455—28no—
141#6455C2314yes—
142#6455C2314yes—
143D7×C4⋊C4—22no—
144D7×C4⋊C4C2314yes—
145#6453—22no—
146#6453C2314yes—
147#6452—28no—
148#6451—22no—
149#6451C2314yes—
150#6450—28no—
151#6450—22no—
152#6450C2314yes—
153#6435—28no—
154#6435D414yes—
155#6435C2314yes—
156#6433—22no—
157#6433C2314yes—
158C4×Dic14—22no—
159C4×Dic14—28no—
160C4×Dic14C2314yes—
161C7×#107C2314yes—
162C7×#107C2314yes—
163C7×C4⋊C8C2314yes—
164C7×#103C2314yes—
165C7×#103C2314yes—
166#6409C2314yes—
167#6409C2314yes—
168#6392C2314yes—
169#6391C2314yes—
170#6390C2314yes—
171#6390C2314yes—
172Dic7⋊C8C2314yes—
173Dic7⋊C8C2314yes—
174#6384C2314yes—
175#6384C2314yes—
176#6382C2314yes—
177#6382C2314yes—
178#6382C2314yes—
179#6381C2314yes—
180C4⋊(C7⋊C8)C2314yes—
181C2×#544—71no—
182C2×#519—71no—
183#3082—716no—
184C2×#479—71no—
185C2×#479—71no—
186C2×#479—71no—
187C2×#479—71no—
188C2×#477—71no—
189C2×#477D711yescharacteristic, complemented
190C2×#475—71no—
191C2×#475—71no—
192C2×#428—71no—
193C2×#427—71no—
194C2×#424—71no—
195C2×#419—71no—
196C22×#103—71no—
197C23×D7C2×D411yescharacteristic
198C2×C7×Q8—21no—
199C2×C7×Q8—24no—
200C2×C7×Q8—22no—
201C2×C7×Q8—82no—
202C2×C7×Q8C2×Q814yes—
203C2×C7×Q8C2412yes—
204C22×C4×C7—21no—
205C22×C4×C7—21no—
206C22×C4×C7—21no—
207C22×C4×C7—21no—
208C22×C4×C7C2×D411yescharacteristic
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2411yescharacteristic
211C22×Dic7—21no—
212C22×Dic7—21no—
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7C2×D411yescharacteristic
216C22×Dic7C2×D411yescharacteristic
217C22×Dic7C2×D411yescharacteristic
218Q8×D7—216no—
219Q8×D7—28no—
220Q8×D7C2×Q8116yescomplemented
221C2×C4×D7—28no—
222C2×C4×D7—24no—
223C2×C4×D7—24no—
224C2×C4×D7—82no—
225C2×C4×D7C2×D412yes—
226C2×C4×D7C2×Q814yes—
227C2×C4×D7#4114yes—
228C2×C4×D7C2412yes—
229C2×Dic14—21no—
230C2×Dic14—22no—
231C2×Dic14—28no—
232C2×Dic14—24no—
233C2×Dic14—24no—
234C2×Dic14—82no—
235C2×Dic14C2×Q814yes—
236C2×Dic14C2412yes—
237C2×C7×C8—22no—
238C2×C7×C8—22no—
239C2×C7×C8C2412yes—
240C2×C7×C8C2412yes—
241C7×C4⋊C4—24no—
242C7×C4⋊C4—21no—
243C7×C4⋊C4—21no—
244C7×C4⋊C4—24no—
245C7×C4⋊C4—21no—
246C7×C4⋊C4C2412yes—
247C7×C4⋊C4C2412yes—
248C7×C4⋊C4C2412yes—
249C42×C7—24no—
250C42×C7C2×D412yes—
251C42×C7C2412yes—
252(C2×D7)⋊C4—24no—
253(C2×D7)⋊C4—24no—
254(C2×D7)⋊C4C2×D414yes—
255(C2×D7)⋊C4C2×D414yes—
256C4⋊Dic7—21no—
257C4⋊Dic7—21no—
258C4⋊Dic7—21no—
259C4⋊Dic7—24no—
260C4⋊Dic7—24no—
261C4⋊Dic7C2412yes—
262C4⋊Dic7C2412yes—
263C4⋊Dic7C2412yes—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271Dic7⋊C4C2×D414yes—
272Dic7⋊C4C2×D414yes—
273C4×Dic7—24no—
274C4×Dic7—24no—
275C4×Dic7—24no—
276C4×Dic7—24no—
277C4×Dic7—24no—
278C4×Dic7C2×D412yes—
279C4×Dic7C2412yes—
280C2×C7⋊C8—22no—
281C2×C7⋊C8—22no—
282C2×C7⋊C8C2412yes—
283C2×C7⋊C8C2412yes—
284#1131—28no—
285C8×D7—28no—
286C23×Q8—71no—
287C22×M16—71no—
288C23×C8—71no—
289#544—78no—
290#544—144no—
291C2×C4⋊Q8—71no—
292C2×C4⋊Q8—141no—
293C2×C4⋊Q8C2×D711yescharacteristic
294C2×#125—71no—
295C2×#125—71no—
296C2×#125—141no—
297C2×C22⋊Q8—141no—
298C2×C22⋊Q8—141no—
299#519—78no—
300#519—144no—
301C2×C4×Q8—71no—
302C2×C4×Q8—71no—
303C2×C4×Q8—71no—
304C2×C4×Q8—141no—
305C2×C4×Q8—141no—
306C2×C4×Q8C2×D711yescharacteristic
307C2×#117—71no—
308C2×#117—71no—
309C2×#117—71no—
310C2×#117—141no—
311C2×#117—141no—
312C22×C4⋊C4—71no—
313#479—78no—
314#479—78no—
315#479—78no—
316#479—78no—
317#477—78no—
318#477C2×D718yescomplemented
319#475—78no—
320#475—78no—
321#428—78no—
322#427—78no—
323C2×#107—71no—
324C2×#107—71no—
325C2×#107C2×D711yescharacteristic
326C2×#107C2×D711yescharacteristic
327C2×#106—71no—
328C2×#106—71no—
329C2×#106—71no—
330C2×#106—71no—
331#424—78no—
332C2×C4⋊C8—71no—
333C2×C4⋊C8—71no—
334C2×C4⋊C8—71no—
335C2×C4⋊C8C2×D711yescharacteristic
336#419—78no—
337C2×#103—71no—
338C2×#103—71no—
339C2×#103—71no—
340C2×#103—71no—
341C2×#103—71no—
342C2×#103—71no—
343C2×#103—78no—
344C2×#103C2×D711yescharacteristic
345C2×#103C2×D711yescharacteristic
346C23×C7C22×D411yescharacteristic
347C22×D7—22no—
348C22×D7—22no—
349C22×D7C22⋊Q814yes—
350C22×D7C22×D412yes—
351C7×Q8—24no—
352C7×Q8—22no—
353C7×Q8—84no—
354C7×Q8C22×Q814yes—
355C2×C4×C7—24no—
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×C7—42no—
363C2×C4×C7—42no—
364C2×C4×C7—42no—
365C2×C4×C7C22×D412yes—
366C2×C4×C7C22×D412yes—
367C2×C4×C7C22×D411yescharacteristic
368C2×C4×C7C22×Q812yes—
369C2×C4×C7C2×#4112yes—
370C2×C4×C7C2511yescharacteristic
371C2×Dic7—24no—
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×Dic7C22⋊Q814yes—
382C2×Dic7C22×D412yes—
383C2×Dic7C22×D412yes—
384C2×Dic7C22×D412yes—
385C4×D7—216no—
386C4×D7—84no—
387C4×D7C22⋊Q818yes—
388C4×D7C22×Q814yes—
389C4×D7C2×#4114yes—
390Dic14—24no—
391Dic14—22no—
392Dic14—216no—
393Dic14—84no—
394Dic14C22×Q814yes—
395C7×C8—22no—
396C7×C8—22no—
397C7⋊C8—22no—
398C7⋊C8—22no—
399C22×Q8—21no—
400C22×Q8—78no—
401C22×Q8—74no—
402C22×Q8—71no—
403C22×Q8—141no—
404C22×Q8—141no—
405C22×Q8—142no—
406C22×Q8—144no—
407C22×Q8C22×D711yescharacteristic
408C23×C4—71no—
409C23×C4—141no—
410C23×C4—141no—
411C2×M16—74no—
412C2×M16—144no—
413C22×C8—71no—
414C22×C8—71no—
415C22×C8—74no—
416C22×C8—144no—
417C22×C8C22×D711yescharacteristic
418C22×C8C22×D711yescharacteristic
419C4⋊Q8—22no—
420C4⋊Q8—74no—
421C4⋊Q8—142no—
422C4⋊Q8—148no—
423C4⋊Q8C22×D714yes—
424#125—74no—
425#125—74no—
426#125—142no—
427#125—148no—
428#125—142no—
429C22⋊Q8—148no—
430C22⋊Q8—148no—
431C4×Q8—22no—
432C4×Q8—74no—
433C4×Q8—74no—
434C4×Q8—74no—
435C4×Q8—148no—
436C4×Q8—142no—
437C4×Q8—142no—
438C4×Q8—148no—
439C4×Q8—142no—
440C4×Q8C22×D714yes—
441#117—74no—
442#117—74no—
443#117—74no—
444#117—74no—
445#117—148no—
446#117—148no—
447#117—142no—
448#117—142no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—71no—
452C2×C4⋊C4—71no—
453C2×C4⋊C4—71no—
454C2×C4⋊C4—71no—
455C2×C4⋊C4—71no—
456C2×C4⋊C4—74no—
457C2×C4⋊C4—142no—
458C2×C4⋊C4—141no—
459C2×C4⋊C4—141no—
460C2×C4⋊C4—141no—
461C2×C4⋊C4—141no—
462C2×C4⋊C4—141no—
463C2×C4⋊C4—141no—
464C2×C4⋊C4—141no—
465C2×C4⋊C4—141no—
466C2×C4⋊C4—141no—
467C2×C4⋊C4C22×D711yescharacteristic
468C2×C4⋊C4C22×D711yescharacteristic
469C2×C4⋊C4C22×D711yescharacteristic
470C2×C22⋊C4—71no—
471C2×C22⋊C4—71no—
472C2×C22⋊C4—141no—
473C2×C22⋊C4—141no—
474C2×C42—21no—
475C2×C42—71no—
476C2×C42—141no—
477C2×C42—141no—
478C2×C42—141no—
479C2×C42—141no—
480C2×C42—141no—
481C2×C42C22×D711yescharacteristic
482#107—74no—
483#107—74no—
484#107C22×D714yes—
485#107C22×D714yes—
486#106—74no—
487#106—74no—
488#106—74no—
489#106—74no—
490C4⋊C8—74no—
491C4⋊C8—74no—
492C4⋊C8—74no—
493C4⋊C8C22×D714yes—
494#103—74no—
495#103—74no—
496#103—74no—
497#103—74no—
498#103—74no—
499#103—74no—
500#103C22×D714yes—
501#103C22×D714yes—
502C22×C7C2×C22⋊Q812yes—
503C22×C7#57712yes—
504C22×C7#57812yes—
505C22×C7C23×D411yescharacteristic
506C2×D7—28no—
507C2×D7—22no—
508C2×D7—22no—
509C2×D7C2×C22⋊Q814yes—
510C4×C7—24no—
511C4×C7—22no—
512C4×C7—22no—
513C4×C7—42no—
514C4×C7—42no—
515C4×C7—42no—
516C4×C7C2×C22⋊Q812yes—
517C4×C7C23×Q811yescharacteristic
518C4×C7C22×#4111yescharacteristic
519Dic7—24no—
520Dic7—22no—
521Dic7—22no—
522Dic7—42no—
523Dic7—42no—
524Dic7—42no—
525Dic7C2×C22⋊Q814yes—
526C24—71no—
527C2×Q8—21no—
528C2×Q8—24no—
529C2×Q8—22no—
530C2×Q8—716no—
531C2×Q8—74no—
532C2×Q8—72no—
533C2×Q8—82no—
534C2×Q8—144no—
535C2×Q8—148no—
536C2×Q8—144no—
537C2×Q8—1416no—
538C2×Q8—148no—
539C2×Q8—141no—
540C2×Q8—142no—
541C2×Q8—562no—
542C2×Q8Q8×D714yes—
543C2×Q8C23×D712yes—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—71no—
549C22×C4—72no—
550C22×C4—74no—
551C22×C4—74no—
552C22×C4—72no—
553C22×C4—71no—
554C22×C4—71no—
555C22×C4—144no—
556C22×C4—148no—
557C22×C4—144no—
558C22×C4—141no—
559C22×C4—141no—
560C22×C4—141no—
561C22×C4—141no—
562C22×C4—562no—
563C22×C4D4×D711yescharacteristic
564C22×C4D4×D711yescharacteristic
565C22×C4C23×D711yescharacteristic
566M16—148no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—72no—
570C2×C8—72no—
571C2×C8—148no—
572C2×C8—142no—
573C2×C8—142no—
574C2×C8C23×D712yes—
575C2×C8C23×D712yes—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—74no—
582C4⋊C4—74no—
583C4⋊C4—72no—
584C4⋊C4—72no—
585C4⋊C4—72no—
586C4⋊C4—144no—
587C4⋊C4—144no—
588C4⋊C4—144no—
589C4⋊C4—144no—
590C4⋊C4—144no—
591C4⋊C4—144no—
592C4⋊C4—144no—
593C4⋊C4—144no—
594C4⋊C4—144no—
595C4⋊C4—141no—
596C4⋊C4—141no—
597C4⋊C4—141no—
598C4⋊C4C23×D712yes—
599C4⋊C4C23×D712yes—
600C4⋊C4C23×D712yes—
601C22⋊C4—74no—
602C22⋊C4—74no—
603C22⋊C4—144no—
604C22⋊C4—144no—
605C42—24no—
606C42—72no—
607C42—72no—
608C42—144no—
609C42—144no—
610C42—144no—
611C42—144no—
612C42—144no—
613C42D4×D712yes—
614C42C23×D712yes—
615C2×C7#308214yescomplemented
616C2×C7C22×C22⋊Q811yescharacteristic
617C2×C7C2×#57711yescharacteristic
618C2×C7C2×#57811yescharacteristic
619D7—24no—
620C23—74no—
621C23—72no—
622C23—142no—
623C23—142no—
624C23C2×D4×D711yescharacteristic
625Q8—24no—
626Q8—22no—
627Q8—74no—
628Q8—84no—
629Q8—1416no—
630Q8—144no—
631Q8—142no—
632Q8—564no—
633Q8C2×Q8×D714yes—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—74no—
645C2×C4—72no—
646C2×C4—78no—
647C2×C4—74no—
648C2×C4—74no—
649C2×C4—72no—
650C2×C4—72no—
651C2×C4—1416no—
652C2×C4—142no—
653C2×C4—142no—
654C2×C4—144no—
655C2×C4—142no—
656C2×C4—142no—
657C2×C4—142no—
658C2×C4—142no—
659C2×C4—282no—
660C2×C4—282no—
661C2×C4—282no—
662C2×C4—564no—
663C2×C4C2×D4×D712yes—
664C2×C4C2×D4×D712yes—
665C2×C4C2×D4×D711yescharacteristic
666C2×C4C2×Q8×D712yes—
667C2×C4D7×#4112yes—
668C2×C4C24×D711yescharacteristic
669C8—22no—
670C8—22no—
671C8—142no—
672C8—142no—
673C7C2×#308211yescharacteristic, complemented, Sylow
674C22—74no—
675C22—142no—
676C22—148no—
677C22—142no—
678C22D7×C22⋊Q812yes—
679C22#9045712yes—
680C22#9046612yes—
681C22C22×D4×D711yescharacteristic
682C4—22no—
683C4—24no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—74no—
689C4—142no—
690C4—144no—
691C4—142no—
692C4—282no—
693C4—282no—
694C4—282no—
695C4D7×C22⋊Q812yes—
696C4C22×Q8×D711yescharacteristic
697C4C2×D7×#4111yescharacteristic
698C2—144no—
699C2#1173855514yesdirect product factor
700C2C2×D7×C22⋊Q811yescharacteristic
701C2C2×#9045711yescharacteristic
702C2C2×#9046611yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#477C2
socleC23×C7C22×D4
prime radicalC23×D7C2×D4
hypercenterC2×#477D7
hypocenterC7C2×#3082
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#477

Complements

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

NH ≅ G/Ntype
3. C2×C7×#477C2semidirect
4. C2×#89866C2semidirect
5. C2×#89794C2semidirect
6. #11738555C2direct (N × H)
7. C2×#89649C2semidirect
8. C2×#89647C2semidirect
11. C2×#89601C2semidirect
15. C2×#89568C2semidirect
16. C2×#89563C2semidirect
44. C7×#477C22semidirect
58. #89866C22semidirect
59. #89794C22semidirect
69. #89649C22semidirect
70. #89647C22semidirect
72. #89601C22semidirect
75. #89568C22semidirect
76. #89563C22semidirect
82. C2×Q8×D7Q8semidirect
189. C2×#477D7semidirect
220. Q8×D7C2×Q8semidirect
318. #477C2×D7semidirect
615. C2×C7#3082semidirect
673. C7C2×#3082semidirect
699. C2#11738555direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#904202
C2×#902632
C2×C7×#4772
C2×#898662
C2×#897942
#117385552
C2×#896492
C2×#896472
C2×#896532
C2×#896522
C2×#896012
C2×#896112
C2×#895742
C2×D7×#1032
C2×#895682
C2×#895632
C2×#30827