Finite Group Databasebeta

← C2×#23774604 #35160381

Subgroups — C2×#23774604 #35160381

Order 20224.

1770 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099117C211yesmaximal, characteristic
2C2×#125×D79C211yesmaximal, characteristic
3#23774604C2116yesmaximal, direct product factor
4C2×#19098971C211yesmaximal, characteristic, complemented
5C2×#19098970C211yesmaximal, characteristic, complemented
6C2×#19098930C211yesmaximal, characteristic, complemented
7C2×#19098930C211yesmaximal, characteristic, complemented
8C2×#19098900C211yesmaximal, characteristic
9C2×#19098897C211yesmaximal, characteristic
10C2×#19098895C211yesmaximal, characteristic
11C2×#19098892C211yesmaximal, characteristic
12C2×#19098871C211yesmaximal, characteristic, complemented
13C2×#19098870C211yesmaximal, characteristic, complemented
14C2×#19098867C211yesmaximal, characteristic, complemented
15C2×#19098619C211yesmaximal, characteristic
16C2×#479×C79C211yesmaximal, characteristic, complemented
17#19099117—24no—
18#19099117C2218yes—
19C2×#14579160C2211yescharacteristic
20C2×#14579159C2211yescharacteristic
21C2×#14579153C2211yescharacteristic
22C2×#14579152C2211yescharacteristic
23C2×#14579152C2211yescharacteristic
24C2×#14579151—21no—
25C2×#14579151—21no—
26C2×#14579151—21no—
27#125×D79—24no—
28#125×D79C2218yes—
29C2×#14579141C2211yescharacteristic
30C2×#14579139—21no—
31C2×#14579137C2211yescharacteristic
32C2×C4×Dic158—21no—
33C2×C4×Dic158C2211yescharacteristic
34C2×#14579118—21no—
35C2×C4⋊C4×D79—21no—
36C2×C4⋊C4×D79—21no—
37C2×C4⋊C4×D79C2211yescharacteristic
38C2×C4⋊C4×D79C2211yescharacteristic
39C2×C42×D79C2211yescharacteristic
40#19098971C2218yescomplemented
41#19098970C2218yescomplemented
42#19098930C2218yescomplemented
43#19098930C2218yescomplemented
44#19098900C2218yes—
45#19098897C2218yes—
46#19098895C2218yes—
47#19098892C2218yes—
48#19098871C2218yescomplemented
49#19098870C2218yescomplemented
50#19098867C2218yescomplemented
51#19098619C2218yes—
52C2×#14579095C2211yescharacteristic
53C2×#14579094C2211yescharacteristic
54C2×#14579094C2211yescharacteristic
55C2×#14579093C2211yescharacteristic
56C2×#14579092C2211yescharacteristic
57C2×#14579092C2211yescharacteristic
58C2×C4⋊(C79⋊C8)C2211yescharacteristic
59C2×#14579086C2211yescharacteristic
60C2×#14579086C2211yescharacteristic
61C2×#14579085C2211yescharacteristic
62C2×#14579085C2211yescharacteristic
63C2×#14579084C2211yescharacteristic
64C2×#14579084C2211yescharacteristic
65C2×(C2×D79)⋊C8C2211yescharacteristic
66C2×(C2×D79)⋊C8C2211yescharacteristic
67C2×#14579071C2211yescharacteristic
68C2×#14579071C2211yescharacteristic
69C2×#125×C79C2211yescharacteristic
70C2×C4×Q8×C79C2211yescharacteristic
71#479×C79C2218yescomplemented
72C2×#107×C79C2211yescharacteristic
73C2×#106×C79C2211yescharacteristic
74C2×C4⋊C8×C79C2211yescharacteristic
75C2×#103×C79C2211yescharacteristic
76C2×#103×C79C2211yescharacteristic
77C22×Dic158—21no—
78C22×Dic158C2311yescharacteristic
79C22×C4×D79—21no—
80C22×C4×D79—21no—
81C22×C4×D79D411yescharacteristic
82C22×C4×D79D411yescharacteristic
83C22×C4×D79C2311yescharacteristic
84C22×C79⋊C8C2311yescharacteristic
85C22×C79⋊C8C2311yescharacteristic
86#14579160—22no—
87#14579160C2314yes—
88#14579159—22no—
89#14579159C2314yes—
90#14579153—22no—
91#14579153C2314yes—
92#14579152—22no—
93#14579152—22no—
94#14579152C2314yes—
95#14579152C2314yes—
96#14579151—28no—
97#14579151—28no—
98#14579151—28no—
99#14579141—22no—
100#14579141C2314yes—
101#14579139—28no—
102#14579137—22no—
103#14579137C2314yes—
104C4×Dic158—22no—
105C4×Dic158—28no—
106C4×Dic158C2314yes—
107#14579118—28no—
108C2×C4⋊Dic79—21no—
109C2×C4⋊Dic79—21no—
110C2×C4⋊Dic79—21no—
111C2×C4⋊Dic79C2311yescharacteristic
112C2×C4⋊Dic79C2311yescharacteristic
113C2×C4⋊Dic79C2311yescharacteristic
114C2×Dic79⋊C4—21no—
115C2×Dic79⋊C4—21no—
116C2×Dic79⋊C4—21no—
117C2×Dic79⋊C4—21no—
118C2×Dic79⋊C4—21no—
119C2×Dic79⋊C4—21no—
120C2×Dic79⋊C4—21no—
121C2×Dic79⋊C4—21no—
122C2×Dic79⋊C4—21no—
123C2×Dic79⋊C4—21no—
124C2×Dic79⋊C4—21no—
125C4⋊C4×D79—28no—
126C4⋊C4×D79—28no—
127C4⋊C4×D79—22no—
128C4⋊C4×D79—22no—
129C4⋊C4×D79C2314yes—
130C4⋊C4×D79C2314yes—
131C2×(C2×D79)⋊C4—21no—
132C2×(C2×D79)⋊C4—21no—
133C2×C4×Dic79—21no—
134C2×C4×Dic79D411yescharacteristic
135C2×C4×Dic79D411yescharacteristic
136C2×C4×Dic79C2311yescharacteristic
137C42×D79D414yes—
138C42×D79C2314yes—
139#14579095C2314yes—
140#14579094C2314yes—
141#14579094C2314yes—
142#14579093C2314yes—
143#14579092C2314yes—
144#14579092C2314yes—
145C4⋊(C79⋊C8)C2314yes—
146#14579086C2314yes—
147#14579086C2314yes—
148#14579085C2314yes—
149#14579085C2314yes—
150#14579084C2314yes—
151#14579084C2314yes—
152(C2×D79)⋊C8C2314yes—
153(C2×D79)⋊C8C2314yes—
154#14579071C2314yes—
155#14579071C2314yes—
156C22×Q8×C79C2311yescharacteristic
157C22×C8×C79C2311yescharacteristic
158C22×C8×C79C2311yescharacteristic
159#125×C79—22no—
160#125×C79C2314yes—
161C4×Q8×C79—22no—
162C4×Q8×C79C2314yes—
163C2×C4⋊C4×C79—21no—
164C2×C4⋊C4×C79—21no—
165C2×C4⋊C4×C79—21no—
166C2×C4⋊C4×C79C2311yescharacteristic
167C2×C4⋊C4×C79C2311yescharacteristic
168C2×C4⋊C4×C79C2311yescharacteristic
169C2×C42×C79—21no—
170C2×C42×C79C2311yescharacteristic
171#107×C79C2314yes—
172#106×C79C2314yes—
173C4⋊C8×C79C2314yes—
174#103×C79C2314yes—
175#103×C79C2314yes—
176C23×D79C2×D411yescharacteristic
177C2×Dic158—24no—
178C2×Dic158—21no—
179C2×Dic158—22no—
180C2×Dic158—22no—
181C2×Dic158—44no—
182C2×Dic158C2412yes—
183C22×Dic79—21no—
184C22×Dic79—21no—
185C22×Dic79—21no—
186C22×Dic79—21no—
187C22×Dic79C2×D411yescharacteristic
188C22×Dic79C2×D411yescharacteristic
189C22×Dic79C2×D411yescharacteristic
190C2×C4×D79—24no—
191C2×C4×D79—24no—
192C2×C4×D79—24no—
193C2×C4×D79—22no—
194C2×C4×D79—22no—
195C2×C4×D79—42no—
196C2×C4×D79—44no—
197C2×C4×D79—44no—
198C2×C4×D79C2×D412yes—
199C2×C4×D79C2×D414yes—
200C2×C4×D79C2×D414yes—
201C2×C4×D79C2412yes—
202C2×C79⋊C8—22no—
203C2×C79⋊C8—22no—
204C2×C79⋊C8C2412yes—
205C2×C79⋊C8C2412yes—
206C4⋊Dic79—24no—
207C4⋊Dic79—24no—
208C4⋊Dic79—24no—
209C4⋊Dic79—21no—
210C4⋊Dic79—21no—
211C4⋊Dic79—21no—
212C4⋊Dic79C2412yes—
213C4⋊Dic79C2412yes—
214C4⋊Dic79C2412yes—
215Dic79⋊C4—24no—
216Dic79⋊C4—24no—
217Dic79⋊C4—24no—
218Dic79⋊C4—24no—
219Dic79⋊C4—24no—
220Dic79⋊C4—24no—
221Dic79⋊C4—24no—
222Dic79⋊C4—24no—
223Dic79⋊C4—24no—
224Dic79⋊C4—24no—
225Dic79⋊C4—24no—
226(C2×D79)⋊C4—24no—
227(C2×D79)⋊C4—24no—
228C4×Dic79—24no—
229C4×Dic79C2×D412yes—
230C4×Dic79C2×D414yes—
231C4×Dic79C2×D414yes—
232C4×Dic79C2412yes—
233C2×Q8×C79—21no—
234C2×Q8×C79—22no—
235C2×Q8×C79—22no—
236C2×Q8×C79C2412yes—
237C22×C4×C79—21no—
238C22×C4×C79—21no—
239C22×C4×C79—21no—
240C22×C4×C79—21no—
241C22×C4×C79C2×D411yescharacteristic
242C22×C4×C79C2×D411yescharacteristic
243C22×C4×C79C2411yescharacteristic
244C2×C8×C79—22no—
245C2×C8×C79—22no—
246C2×C8×C79C2412yes—
247C2×C8×C79C2412yes—
248C4⋊C4×C79—24no—
249C4⋊C4×C79—24no—
250C4⋊C4×C79—24no—
251C4⋊C4×C79—21no—
252C4⋊C4×C79—21no—
253C4⋊C4×C79—21no—
254C4⋊C4×C79C2412yes—
255C4⋊C4×C79C2412yes—
256C4⋊C4×C79C2412yes—
257C42×C79—24no—
258C42×C79C2×D412yes—
259C42×C79C2412yes—
260C23×C79C22×D411yescharacteristic
261C22×D79—22no—
262C22×D79—22no—
263C22×D79#13714yes—
264C22×D79C22×D412yes—
265Q8×C79—22no—
266Q8×C79—22no—
267Q8×C79—42no—
268C2×C4×C79—22no—
269C2×C4×C79—22no—
270C2×C4×C79—22no—
271C2×C4×C79—22no—
272C2×C4×C79—22no—
273C2×C4×C79—22no—
274C2×C4×C79—42no—
275C2×C4×C79—42no—
276C2×C4×C79—42no—
277C2×C4×C79—42no—
278C2×C4×C79C22×D412yes—
279C2×C4×C79C22×D412yes—
280C2×C4×C79C22×D411yescharacteristic
281C2×C4×C792−1+412yes—
282C2×C4×C792−1+412yes—
283C2×C4×C79C2511yescharacteristic
284C2×Dic79—22no—
285C2×Dic79—22no—
286C2×Dic79—22no—
287C2×Dic79—22no—
288C2×Dic79—22no—
289C2×Dic79—22no—
290C2×Dic79—22no—
291C2×Dic79—42no—
292C2×Dic79—42no—
293C2×Dic79—42no—
294C2×Dic79—42no—
295C2×Dic79C22×D412yes—
296C2×Dic79C22×D412yes—
297C2×Dic79C22×D412yes—
298C4×D79—28no—
299C4×D79—24no—
300C4×D79—22no—
301C4×D79—22no—
302C4×D79—44no—
303C4×D79—48no—
304C4×D79—48no—
305Dic158—22no—
306Dic158—22no—
307Dic158—48no—
308Dic158—42no—
309C8×C79—22no—
310C8×C79—22no—
311C79⋊C8—22no—
312C79⋊C8—22no—
313C22×C79#53612yes—
314C22×C79C2×#13712yes—
315C22×C79#57512yes—
316C22×C79C23×D411yescharacteristic
317C2×D79—22no—
318C2×D79—28no—
319C2×D79—22no—
320C2×D79C2×#13714yes—
321C4×C79—22no—
322C4×C79—22no—
323C4×C79—42no—
324C4×C79—42no—
325C4×C79—42no—
326C4×C79—42no—
327C4×C79#53612yes—
328C4×C79C2×2−1+411yescharacteristic
329C4×C79C2×2−1+411yescharacteristic
330Dic79—22no—
331Dic79—22no—
332Dic79—22no—
333Dic79—42no—
334Dic79—42no—
335Dic79—42no—
336Dic79—42no—
337C2×#3236—791nomaximal, Sylow
338C2×C79#323614yescomplemented
339C2×C79C2×#53611yescharacteristic
340C2×C79C22×#13711yescharacteristic
341C2×C79C2×#57511yescharacteristic
342D79—24no—
343C2×#533—791no—
344C22×#125—791no—
345#3236—7916no—
346C2×#501—791no—
347C2×#501—791no—
348C2×#491—791no—
349C2×#491—791no—
350C2×#484—791no—
351C2×#484—791no—
352C2×#483—791no—
353C2×#483—791no—
354C2×#479—791no—
355C2×#479—791no—
356C2×#479—791no—
357C2×#479D7911yescharacteristic, complemented
358C2×#432—791no—
359C79C2×#323611yescharacteristic, complemented, Sylow
360#533—798no—
361#533—1584no—
362C2×C4⋊Q8—791no—
363C2×C4⋊Q8—791no—
364C2×#125—798no—
365C2×#125—791no—
366C2×#125—791no—
367C2×#125—791no—
368C2×#125—1581no—
369C2×#125—1581no—
370C2×#125—1581no—
371C2×#125—1584no—
372C2×#125C2×D7911yescharacteristic
373C2×C22⋊Q8—791no—
374C2×C22⋊Q8—791no—
375C2×C22⋊Q8—1581no—
376C2×C4×Q8—791no—
377C2×C4×Q8—1581no—
378C2×C4×Q8C2×D7911yescharacteristic
379C2×#117—1581no—
380C22×C4⋊C4—791no—
381C22×C4⋊C4—791no—
382C22×C4⋊C4—1581no—
383C22×C4⋊C4—1581no—
384C22×C42—791no—
385#501—798no—
386#501—798no—
387#491—798no—
388#491—798no—
389#484—798no—
390#484—798no—
391#483—798no—
392#483—798no—
393#479—798no—
394#479—798no—
395#479—798no—
396#479C2×D7918yescomplemented
397#432—798no—
398C2×#107—791no—
399C2×#107—791no—
400C2×#107—791no—
401C2×#107C2×D7911yescharacteristic
402C2×#106—791no—
403C2×#106—791no—
404C2×#106—791no—
405C2×#106C2×D7911yescharacteristic
406C2×C4⋊C8—791no—
407C2×C4⋊C8C2×D7911yescharacteristic
408C2×#103—791no—
409C2×#103—791no—
410C2×#103—791no—
411C2×#103—791no—
412C2×#103—791no—
413C2×#103—791no—
414C2×#103C2×D7911yescharacteristic
415C2×#103C2×D7911yescharacteristic
416C2×C22⋊C8—791no—
417C2×C22⋊C8—791no—
418C2×#97—791no—
419C2×#97—791no—
420C22×Q8—791no—
421C22×Q8—1581no—
422C22×Q8C22×D7911yescharacteristic
423C23×C4—791no—
424C23×C4—791no—
425C23×C4—791no—
426C23×C4—1581no—
427C23×C4—1581no—
428C22×C8—791no—
429C22×C8—791no—
430C22×C8C22×D7911yescharacteristic
431C22×C8C22×D7911yescharacteristic
432C4⋊Q8—794no—
433C4⋊Q8—794no—
434C4⋊Q8—1582no—
435C4⋊Q8—1582no—
436#125—22no—
437#125—794no—
438#125—794no—
439#125—794no—
440#125—1588no—
441#125—1588no—
442#125—1582no—
443#125—1582no—
444#125—1588no—
445#125—1582no—
446#125C22×D7914yes—
447C22⋊Q8—794no—
448C22⋊Q8—794no—
449C22⋊Q8—1582no—
450C22⋊Q8—1588no—
451C22⋊Q8—1582no—
452C4×Q8—22no—
453C4×Q8—794no—
454C4×Q8—1588no—
455C4×Q8—1582no—
456C4×Q8C22×D7914yes—
457#117—1588no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—791no—
462C2×C4⋊C4—791no—
463C2×C4⋊C4—791no—
464C2×C4⋊C4—794no—
465C2×C4⋊C4—794no—
466C2×C4⋊C4—1582no—
467C2×C4⋊C4—1582no—
468C2×C4⋊C4—1588no—
469C2×C4⋊C4—1588no—
470C2×C4⋊C4—1581no—
471C2×C4⋊C4—1581no—
472C2×C4⋊C4—1581no—
473C2×C4⋊C4—1581no—
474C2×C4⋊C4—1581no—
475C2×C4⋊C4—1581no—
476C2×C4⋊C4—1581no—
477C2×C4⋊C4—1581no—
478C2×C4⋊C4—1581no—
479C2×C4⋊C4—1581no—
480C2×C4⋊C4—1581no—
481C2×C4⋊C4—1581no—
482C2×C4⋊C4—1581no—
483C2×C4⋊C4—1581no—
484C2×C4⋊C4C22×D7911yescharacteristic
485C2×C4⋊C4C22×D7911yescharacteristic
486C2×C4⋊C4C22×D7911yescharacteristic
487C2×C22⋊C4—1581no—
488C2×C22⋊C4—1581no—
489C2×C42—21no—
490C2×C42—791no—
491C2×C42—791no—
492C2×C42—791no—
493C2×C42—794no—
494C2×C42—794no—
495C2×C42—1581no—
496C2×C42C22×D7911yescharacteristic
497#107—794no—
498#107—794no—
499#107—794no—
500#107C22×D7914yes—
501#106—794no—
502#106—794no—
503#106—794no—
504#106C22×D7914yes—
505C4⋊C8—794no—
506C4⋊C8C22×D7914yes—
507#103—794no—
508#103—794no—
509#103—794no—
510#103—794no—
511#103—794no—
512#103—794no—
513#103C22×D7914yes—
514#103C22×D7914yes—
515C22⋊C8—794no—
516C22⋊C8—794no—
517#97—794no—
518#97—794no—
519C24—791no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—3164no—
524C2×Q8—792no—
525C2×Q8—1584no—
526C2×Q8—1582no—
527C2×Q8—1582no—
528C2×Q8—1581no—
529C2×Q8C23×D7912yes—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—3162no—
535C22×C4—3164no—
536C22×C4—3164no—
537C22×C4—794no—
538C22×C4—791no—
539C22×C4—791no—
540C22×C4—791no—
541C22×C4—792no—
542C22×C4—794no—
543C22×C4—792no—
544C22×C4—1584no—
545C22×C4—1584no—
546C22×C4—1584no—
547C22×C4—1581no—
548C22×C4—1581no—
549C22×C4—1581no—
550C22×C4—1581no—
551C22×C4—1582no—
552C22×C4—1582no—
553C22×C4D4×D7911yescharacteristic
554C22×C4D4×D7911yescharacteristic
555C22×C4C23×D7911yescharacteristic
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—792no—
559C2×C8—792no—
560C2×C8—1582no—
561C2×C8—1582no—
562C2×C8C23×D7912yes—
563C2×C8C23×D7912yes—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—792no—
571C4⋊C4—792no—
572C4⋊C4—792no—
573C4⋊C4—1584no—
574C4⋊C4—1584no—
575C4⋊C4—1584no—
576C4⋊C4—1584no—
577C4⋊C4—1584no—
578C4⋊C4—1584no—
579C4⋊C4—1584no—
580C4⋊C4—1584no—
581C4⋊C4—1584no—
582C4⋊C4—1584no—
583C4⋊C4—1584no—
584C4⋊C4—1584no—
585C4⋊C4—1584no—
586C4⋊C4—1584no—
587C4⋊C4—1581no—
588C4⋊C4—1581no—
589C4⋊C4—1581no—
590C4⋊C4C23×D7912yes—
591C4⋊C4C23×D7912yes—
592C4⋊C4C23×D7912yes—
593C22⋊C4—1584no—
594C22⋊C4—1584no—
595C42—24no—
596C42—792no—
597C42—794no—
598C42—794no—
599C42—792no—
600C42—1584no—
601C42D4×D7912yes—
602C42C23×D7912yes—
603C23—794no—
604C23—792no—
605C23—1582no—
606C23—1582no—
607C23C2×D4×D7911yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—42no—
611Q8—3168no—
612Q8—3162no—
613Q8—1582no—
614Q8—1582no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—3164no—
626C2×C4—3168no—
627C2×C4—3168no—
628C2×C4—3162no—
629C2×C4—3162no—
630C2×C4—3162no—
631C2×C4—3162no—
632C2×C4—792no—
633C2×C4—792no—
634C2×C4—792no—
635C2×C4—1588no—
636C2×C4—1582no—
637C2×C4—1582no—
638C2×C4—1582no—
639C2×C4—1582no—
640C2×C4—1582no—
641C2×C4—1582no—
642C2×C4—1582no—
643C2×C4—1584no—
644C2×C4—1582no—
645C2×C4—1582no—
646C2×C4C2×D4×D7912yes—
647C2×C4C2×D4×D7912yes—
648C2×C4C2×D4×D7911yescharacteristic
649C2×C4#1457920812yes—
650C2×C4#1457920912yes—
651C2×C4C24×D7911yescharacteristic
652C8—22no—
653C8—22no—
654C8—1582no—
655C8—1582no—
656C22—794no—
657C22—1582no—
658C22—1588no—
659C22—1582no—
660C22#1909913612yes—
661C22#137×D7912yes—
662C22#1909936012yes—
663C22C22×D4×D7911yescharacteristic
664C4—22no—
665C4—22no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—42no—
670C4—3162no—
671C4—3162no—
672C4—3162no—
673C4—3162no—
674C4—1582no—
675C4—1582no—
676C4—1582no—
677C4#1909913612yes—
678C4C2×#1457920811yescharacteristic
679C4C2×#1457920911yescharacteristic
680C2—1584no—
681C2#2377460414yesdirect product factor
682C2C2×#1909913611yescharacteristic
683C2C2×#137×D7911yescharacteristic
684C2C2×#1909936011yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#479×C79C2
socleC23×C79C22×D4
prime radicalC23×D79C2×D4
hypercenterC2×#479D79
hypocenterC79C2×#3236
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #23774604C2direct (N × H)
4. C2×#19098971C2semidirect
5. C2×#19098970C2semidirect
6. C2×#19098930C2semidirect
7. C2×#19098930C2semidirect
12. C2×#19098871C2semidirect
13. C2×#19098870C2semidirect
14. C2×#19098867C2semidirect
16. C2×#479×C79C2semidirect
40. #19098971C22semidirect
41. #19098970C22semidirect
42. #19098930C22semidirect
43. #19098930C22semidirect
48. #19098871C22semidirect
49. #19098870C22semidirect
50. #19098867C22semidirect
71. #479×C79C22semidirect
338. C2×C79#3236semidirect
357. C2×#479D79semidirect
359. C79C2×#3236semidirect
396. #479C2×D79semidirect
681. C2#23774604direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#190991172
C2×#125×D792
#237746042
C2×#190989712
C2×#190989702
C2×#190989302
C2×#190989002
C2×#190988972
C2×#190988952
C2×#190988922
C2×#190988712
C2×#190988702
C2×#190988672
C2×#190986192
C2×#479×C792
C2×#323679