Finite Group Databasebeta

← C2×#22622878 #33966513

Subgroups — C2×#22622878 #33966513

Order 18688.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989315C211yesmaximal, characteristic, complemented
2C2×#17989297C211yesmaximal, characteristic
3#22622878C2116yesmaximal, direct product factor
4C2×#17988996C211yesmaximal, characteristic, complemented
5C2×#17988996C211yesmaximal, characteristic, complemented
6C2×#17988989C211yesmaximal, characteristic, complemented
7C2×#17988895C211yesmaximal, characteristic, complemented
8C2×#17988895C211yesmaximal, characteristic, complemented
9C2×#17988873C211yesmaximal, characteristic, complemented
10C2×#17988888C211yesmaximal, characteristic
11C2×#17988888C211yesmaximal, characteristic
12C2×#17988878C211yesmaximal, characteristic
13C2×#17988689C211yesmaximal, characteristic
14C2×#17988689C211yesmaximal, characteristic
15C2×C4×#11924017C211yesmaximal, characteristic
16C2×#446×C73C211yesmaximal, characteristic, complemented
17C22×#11924017C2211yescharacteristic
18#17989315—24no—
19#17989315C2218yescomplemented
20#17989297—24no—
21#17989297C2218yes—
22C2×#14556591C2211yescharacteristic
23C2×#14556591C2211yescharacteristic
24C2×#14556589—21no—
25C2×#14556583C2211yescharacteristic
26C2×#14556583C2211yescharacteristic
27C2×#14556583C2211yescharacteristic
28C2×#14556583C2211yescharacteristic
29C2×#14556581—21no—
30C2×#14556581—21no—
31C2×#14556569—21no—
32C2×#14556569—21no—
33C2×#14556567—21no—
34C2×C4×Dic146C2211yescharacteristic
35C2×C4×Dic146C2211yescharacteristic
36C2×C4×Dic146C2211yescharacteristic
37C2×#14556556—21no—
38C2×C4×D292C2211yescharacteristic
39C2×C4×D292C2211yescharacteristic
40C2×C4×D292C2211yescharacteristic
41C2×C4⋊C4×D73—21no—
42#17988996C2218yescomplemented
43#17988996C2218yescomplemented
44#17988989C2218yescomplemented
45#17988895C2218yescomplemented
46#17988895C2218yescomplemented
47#17988888C2218yes—
48#17988888C2218yes—
49#17988878C2218yes—
50#17988873C2218yescomplemented
51#17988689C2218yes—
52#17988689C2218yes—
53C4×#11924017C2218yes—
54C2×#14556525C2211yescharacteristic
55C2×#14556525C2211yescharacteristic
56C2×#14556525C2211yescharacteristic
57C2×#14556525C2211yescharacteristic
58C2×#14556523C2211yescharacteristic
59C2×#14556523C2211yescharacteristic
60C2×#14556523C2211yescharacteristic
61C2×#14556523C2211yescharacteristic
62C2×#14556523C2211yescharacteristic
63C2×#14556516C2211yescharacteristic
64C2×#14556516C2211yescharacteristic
65C2×#14556516C2211yescharacteristic
66C2×#14556513C2211yescharacteristic
67C2×#14556513C2211yescharacteristic
68C2×#14556513C2211yescharacteristic
69C2×C4×Q8×C73C2211yescharacteristic
70#446×C73C2218yescomplemented
71C2×C4⋊C8×C73C2211yescharacteristic
72C2×C4⋊C8×C73C2211yescharacteristic
73C2×C4⋊C8×C73C2211yescharacteristic
74C2×#97×C73C2211yescharacteristic
75C2×#97×C73C2211yescharacteristic
76C2×C4×C8×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146—21no—
79C22×Dic146C2311yescharacteristic
80C22×D292C2311yescharacteristic
81C22×C4×D73—21no—
82C22×C4×D73—21no—
83C22×C4×D73—21no—
84C2×#11924017Q818yescomplemented
85C2×#11924017C2314yes—
86#14556591—22no—
87#14556591—22no—
88#14556591C2314yes—
89#14556591C2314yes—
90#14556589—28no—
91#14556583—22no—
92#14556583—22no—
93#14556583—22no—
94#14556583—22no—
95#14556583C2314yes—
96#14556583C2314yes—
97#14556583C2314yes—
98#14556583C2314yes—
99#14556581—28no—
100#14556581—28no—
101#14556569—28no—
102#14556569—28no—
103#14556567—28no—
104C4×Dic146—22no—
105C4×Dic146—22no—
106C4×Dic146—22no—
107C4×Dic146C2314yes—
108C4×Dic146C2314yes—
109C4×Dic146C2314yes—
110#14556556—28no—
111C4×D292—22no—
112C4×D292—22no—
113C4×D292—22no—
114C4×D292C2314yes—
115C4×D292C2314yes—
116C4×D292C2314yes—
117C2×C4⋊Dic73—21no—
118C2×C4⋊Dic73—21no—
119C2×C4⋊Dic73C2311yescharacteristic
120C2×C4⋊Dic73C2311yescharacteristic
121C2×C4⋊Dic73C2311yescharacteristic
122C2×C4⋊Dic73C2311yescharacteristic
123C2×C4⋊Dic73C2311yescharacteristic
124C2×C4⋊Dic73C2311yescharacteristic
125C2×#11924007—21no—
126C2×#11924007—21no—
127C2×#11924007—21no—
128C2×#11924007—21no—
129C2×#11924007—21no—
130C2×#11924007—21no—
131C2×#11924007—21no—
132C2×#11924007—21no—
133C2×#11924007—21no—
134C2×#11924007—21no—
135C2×#11924007—21no—
136C4⋊C4×D73—28no—
137C2×#11924005—21no—
138C2×#11924005—21no—
139C2×#11924005—21no—
140C2×C4×Dic73—21no—
141C2×C4×Dic73—21no—
142C2×C4×Dic73—21no—
143#14556525C2314yes—
144#14556525C2314yes—
145#14556525C2314yes—
146#14556525C2314yes—
147#14556523C2314yes—
148#14556523C2314yes—
149#14556523C2314yes—
150#14556523C2314yes—
151#14556523C2314yes—
152#14556516C2314yes—
153#14556516C2314yes—
154#14556516C2314yes—
155#14556513C2314yes—
156#14556513C2314yes—
157#14556513C2314yes—
158C22×Q8×C73D411yescharacteristic
159C22×C8×C73C2311yescharacteristic
160C22×C8×C73C2311yescharacteristic
161C22×C8×C73C2311yescharacteristic
162C22×C8×C73C2311yescharacteristic
163C4×Q8×C73D414yes—
164C4×Q8×C73C2314yes—
165C2×C4⋊C4×C73D411yescharacteristic
166C2×C4⋊C4×C73D411yescharacteristic
167C2×C4⋊C4×C73D411yescharacteristic
168C2×C42×C73C2311yescharacteristic
169C2×C42×C73C2311yescharacteristic
170C2×C42×C73C2311yescharacteristic
171C4⋊C8×C73C2314yes—
172C4⋊C8×C73C2314yes—
173C4⋊C8×C73C2314yes—
174#97×C73C2314yes—
175#97×C73C2314yes—
176C4×C8×C73C2314yes—
177C23×D73—21no—
178C2×Dic146—21no—
179C2×Dic146—22no—
180C2×Dic146—24no—
181C2×Dic146—24no—
182C2×Dic146—44no—
183C2×Dic146—82no—
184C2×Dic146C2×Q814yes—
185C2×Dic146C2412yes—
186C2×D292—21no—
187C2×D292—22no—
188C2×D292C2×Q814yes—
189C2×D292C2412yes—
190C22×Dic73—21no—
191C22×Dic73—21no—
192C22×Dic73—21no—
193C22×Dic73—21no—
194C22×Dic73—21no—
195C22×Dic73—21no—
196C22×Dic73—21no—
197C2×C4×D73—24no—
198C2×C4×D73—24no—
199C2×C4×D73—24no—
200C2×C4×D73—44no—
201C2×C4×D73—82no—
202C2×C4×D73—82no—
203#11924017C2×Q8116yescomplemented
204C4⋊Dic73—24no—
205C4⋊Dic73—24no—
206C4⋊Dic73—21no—
207C4⋊Dic73—21no—
208C4⋊Dic73—21no—
209C4⋊Dic73—21no—
210C4⋊Dic73—21no—
211C4⋊Dic73—21no—
212C4⋊Dic73C2412yes—
213C4⋊Dic73C2412yes—
214C4⋊Dic73C2412yes—
215C4⋊Dic73C2412yes—
216C4⋊Dic73C2412yes—
217C4⋊Dic73C2412yes—
218#11924007—24no—
219#11924007—24no—
220#11924007—24no—
221#11924007—24no—
222#11924007—24no—
223#11924007—24no—
224#11924007—24no—
225#11924007—24no—
226#11924007—24no—
227#11924007—24no—
228#11924007—24no—
229#11924005—24no—
230#11924005—24no—
231#11924005—24no—
232C4×Dic73—24no—
233C4×Dic73—24no—
234C4×Dic73—24no—
235C2×Q8×C73—42no—
236C2×Q8×C73C2×D414yes—
237C22×C4×C73C2×D411yescharacteristic
238C22×C4×C73C2×D411yescharacteristic
239C22×C4×C73C2×D411yescharacteristic
240C22×C4×C73C2×D411yescharacteristic
241C22×C4×C73C2×D411yescharacteristic
242C22×C4×C73C2×D411yescharacteristic
243C22×C4×C73C2411yescharacteristic
244C2×C8×C73—22no—
245C2×C8×C73—22no—
246C2×C8×C73—22no—
247C2×C8×C73C2×Q814yes—
248C2×C8×C73C2412yes—
249C2×C8×C73C2412yes—
250C2×C8×C73C2412yes—
251C2×C8×C73C2412yes—
252C4⋊C4×C73C2×D414yes—
253C4⋊C4×C73C2×D414yes—
254C4⋊C4×C73C2×D414yes—
255C42×C73C2×D412yes—
256C42×C73C2×D412yes—
257C42×C73C2×D412yes—
258C42×C73C2412yes—
259C42×C73C2412yes—
260C42×C73C2412yes—
261C23×C73C22×D411yescharacteristic
262C22×D73—24no—
263C22×D73—22no—
264C22×D73—42no—
265C22×D73—42no—
266Q8×C73—44no—
267C2×C4×C73—22no—
268C2×C4×C73—22no—
269C2×C4×C73—22no—
270C2×C4×C73—22no—
271C2×C4×C73—22no—
272C2×C4×C73—22no—
273C2×C4×C73C22×D412yes—
274C2×C4×C73C22×D412yes—
275C2×C4×C73C22×D412yes—
276C2×C4×C73C22×D412yes—
277C2×C4×C73C22×D412yes—
278C2×C4×C73C22×D412yes—
279C2×C4×C73C22×D411yescharacteristic
280C2×C4×C73C22×Q812yes—
281C2×C4×C732−1+412yes—
282C2×C4×C73C2511yescharacteristic
283C2×Dic73—24no—
284C2×Dic73—22no—
285C2×Dic73—22no—
286C2×Dic73—22no—
287C2×Dic73—22no—
288C2×Dic73—22no—
289C2×Dic73—22no—
290C2×Dic73—22no—
291C2×Dic73—42no—
292C2×Dic73—42no—
293C2×Dic73—42no—
294C2×Dic73—42no—
295C2×Dic73—42no—
296C2×Dic73—42no—
297D292—24no—
298D292—22no—
299D292C22×Q814yes—
300C4×D73—48no—
301C4×D73—84no—
302C4×D73—84no—
303Dic146—24no—
304Dic146—22no—
305Dic146—48no—
306Dic146—84no—
307Dic146C22×Q814yes—
308C8×C73—22no—
309C8×C73—22no—
310C8×C73—22no—
311C8×C73C22×Q814yes—
312C22×C73D4×Q812yes—
313C22×C73#57512yes—
314C22×C73#57712yes—
315C22×C73C23×D411yescharacteristic
316C2×D73—24no—
317C2×D73—48no—
318C2×D73—42no—
319C2×D73—42no—
320C4×C73—22no—
321C4×C73—22no—
322C4×C73—22no—
323C4×C73—22no—
324C4×C73—22no—
325C4×C73—22no—
326C4×C73D4×Q812yes—
327C4×C73C23×Q811yescharacteristic
328C4×C73C2×2−1+411yescharacteristic
329Dic73—24no—
330Dic73—42no—
331Dic73—42no—
332Dic73—42no—
333Dic73—42no—
334Dic73—42no—
335Dic73—42no—
336C2×#3388—731nomaximal, Sylow
337C2×C73#338814yescomplemented
338C2×C73C2×D4×Q811yescharacteristic
339C2×C73C2×#57511yescharacteristic
340C2×C73C2×#57711yescharacteristic
341D73—44no—
342C2×#557—731no—
343C2×#554—731no—
344#3388—7316no—
345C2×#501—731no—
346C2×#501—731no—
347C2×#499—731no—
348C2×#479—731no—
349C2×#479—731no—
350C2×#475—731no—
351C2×#478—731no—
352C2×#478—731no—
353C2×#476—731no—
354C2×#446D7311yescharacteristic, complemented
355C2×#440—731no—
356C2×#440—731no—
357C2×C4×SD16—731no—
358C73C2×#338811yescharacteristic, complemented, Sylow
359C22×SD16—731no—
360#557—738no—
361#557—1464no—
362#554—738no—
363#554—1464no—
364C2×C4⋊Q8—731no—
365C2×C4⋊Q8—731no—
366C2×C4⋊Q8—1461no—
367C2×#125—731no—
368C2×#125—731no—
369C2×#125—731no—
370C2×#125—731no—
371C2×#125—1461no—
372C2×#125—1461no—
373C2×C22⋊Q8—1461no—
374C2×C22⋊Q8—1461no—
375C2×C22⋊Q8—1461no—
376C2×C4×Q8—731no—
377C2×C4×Q8—731no—
378C2×C4×Q8—731no—
379C2×C4×Q8—1461no—
380C2×C4×Q8C2×D7311yescharacteristic
381C2×C4×D4—731no—
382C2×C4×D4—731no—
383C2×C4×D4—731no—
384C22×C4⋊C4—1461no—
385#501—738no—
386#501—738no—
387#499—738no—
388#479—738no—
389#479—738no—
390#478—738no—
391#478—738no—
392#476—738no—
393#475—738no—
394#446C2×D7318yescomplemented
395#440—738no—
396#440—738no—
397C4×SD16—738no—
398C2×#107—731no—
399C2×#107—731no—
400C2×#107—731no—
401C2×#107—731no—
402C2×#106—731no—
403C2×#106—731no—
404C2×#106—731no—
405C2×#106—731no—
406C2×#106—731no—
407C2×C4⋊C8C2×D7311yescharacteristic
408C2×C4⋊C8C2×D7311yescharacteristic
409C2×C4⋊C8C2×D7311yescharacteristic
410C2×#103—731no—
411C2×#103—731no—
412C2×#103—731no—
413C2×#102—731no—
414C2×#102—731no—
415C2×#102—731no—
416C2×#97C2×D7311yescharacteristic
417C2×#97C2×D7311yescharacteristic
418C2×C4×C8C2×D7311yescharacteristic
419C22×Q8—731no—
420C22×Q8—1461no—
421C22×Q8—1461no—
422C22×Q8D29211yescharacteristic
423C22×D4—731no—
424C23×C4—1461no—
425C23×C4—1461no—
426C23×C4—1461no—
427C2×SD16—738no—
428C2×SD16—734no—
429C22×C8C22×D7311yescharacteristic
430C22×C8C22×D7311yescharacteristic
431C22×C8C22×D7311yescharacteristic
432C22×C8C22×D7311yescharacteristic
433C4⋊Q8—734no—
434C4⋊Q8—734no—
435C4⋊Q8—1468no—
436C4⋊Q8—1462no—
437C4⋊Q8—1462no—
438#125—734no—
439#125—734no—
440#125—734no—
441#125—734no—
442#125—1468no—
443#125—1468no—
444#125—1462no—
445#125—1462no—
446#125—1462no—
447#125—1462no—
448C22⋊Q8—1468no—
449C22⋊Q8—1468no—
450C22⋊Q8—1468no—
451C4×Q8—734no—
452C4×Q8—734no—
453C4×Q8—734no—
454C4×Q8—1468no—
455C4×Q8—1462no—
456C4×Q8—1462no—
457C4×Q8—1462no—
458C4×Q8D29214yes—
459C4×Q8C22×D7314yes—
460C4×D4—734no—
461C4×D4—734no—
462C4×D4—734no—
463C4×D4—1462no—
464C4×D4—1462no—
465C4×D4—1462no—
466C2×C4⋊C4—731no—
467C2×C4⋊C4—731no—
468C2×C4⋊C4—731no—
469C2×C4⋊C4—731no—
470C2×C4⋊C4—731no—
471C2×C4⋊C4—731no—
472C2×C4⋊C4—1461no—
473C2×C4⋊C4—1461no—
474C2×C4⋊C4—1461no—
475C2×C4⋊C4—1461no—
476C2×C4⋊C4—1461no—
477C2×C4⋊C4—1461no—
478C2×C4⋊C4—1461no—
479C2×C4⋊C4—1461no—
480C2×C4⋊C4—1461no—
481C2×C4⋊C4—1461no—
482C2×C4⋊C4—1461no—
483C2×C4⋊C4—1461no—
484C2×C4⋊C4—1461no—
485C2×C4⋊C4—1468no—
486C2×C4⋊C4D29211yescharacteristic
487C2×C4⋊C4D29211yescharacteristic
488C2×C4⋊C4D29211yescharacteristic
489C2×C22⋊C4—1461no—
490C2×C22⋊C4—1461no—
491C2×C22⋊C4—1461no—
492C2×C42—1461no—
493C2×C42—1461no—
494C2×C42—1461no—
495C2×C42C22×D7311yescharacteristic
496C2×C42C22×D7311yescharacteristic
497C2×C42C22×D7311yescharacteristic
498#107—734no—
499#107—734no—
500#107—734no—
501#107—734no—
502#106—734no—
503#106—734no—
504#106—734no—
505#106—734no—
506#106—734no—
507C4⋊C8C22×D7314yes—
508C4⋊C8C22×D7314yes—
509C4⋊C8C22×D7314yes—
510#103—734no—
511#103—734no—
512#103—734no—
513#102—734no—
514#102—734no—
515#102—734no—
516#97C22×D7314yes—
517#97C22×D7314yes—
518C4×C8C22×D7314yes—
519C24—1461no—
520C2×Q8—42no—
521C2×Q8—2924no—
522C2×Q8—5842no—
523C2×Q8—734no—
524C2×Q8—732no—
525C2×Q8—1464no—
526C2×Q8—1464no—
527C2×Q8—1461no—
528C2×Q8—1462no—
529C2×Q8C2×D29214yes—
530C2×D4—734no—
531C2×D4—732no—
532C2×D4—1461no—
533C2×D4—1462no—
534C22×C4—2924no—
535C22×C4—5842no—
536C22×C4—5842no—
537C22×C4—1461no—
538C22×C4—1461no—
539C22×C4—1461no—
540C22×C4—1461no—
541C22×C4—1461no—
542C22×C4—1461no—
543C22×C4—1464no—
544C22×C4—1464no—
545C22×C4—1464no—
546C22×C4—1461no—
547C22×C4C2×D29211yescharacteristic
548C22×C4C2×D29211yescharacteristic
549C22×C4C2×D29211yescharacteristic
550C22×C4C2×D29211yescharacteristic
551C22×C4C2×D29211yescharacteristic
552C22×C4C2×D29211yescharacteristic
553C22×C4C23×D7311yescharacteristic
554SD16—7316no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8Q8×D7314yes—
559C2×C8C23×D7312yes—
560C2×C8C23×D7312yes—
561C2×C8C23×D7312yes—
562C2×C8C23×D7312yes—
563C4⋊C4—732no—
564C4⋊C4—732no—
565C4⋊C4—732no—
566C4⋊C4—732no—
567C4⋊C4—732no—
568C4⋊C4—732no—
569C4⋊C4—1464no—
570C4⋊C4—1464no—
571C4⋊C4—1464no—
572C4⋊C4—1464no—
573C4⋊C4—1464no—
574C4⋊C4—1464no—
575C4⋊C4—1464no—
576C4⋊C4—1464no—
577C4⋊C4—1464no—
578C4⋊C4—1464no—
579C4⋊C4—1464no—
580C4⋊C4—1461no—
581C4⋊C4—1461no—
582C4⋊C4—1461no—
583C4⋊C4—1461no—
584C4⋊C4—1461no—
585C4⋊C4—1461no—
586C4⋊C4—1464no—
587C4⋊C4—1464no—
588C4⋊C4C2×D29214yes—
589C4⋊C4C2×D29214yes—
590C4⋊C4C2×D29214yes—
591C22⋊C4—1464no—
592C22⋊C4—1464no—
593C22⋊C4—1464no—
594C42—1464no—
595C42—1464no—
596C42—1464no—
597C42C2×D29212yes—
598C42C2×D29212yes—
599C42C2×D29212yes—
600C42C23×D7312yes—
601C42C23×D7312yes—
602C42C23×D7312yes—
603C23—2922no—
604C23—2922no—
605C23—1462no—
606C23—1464no—
607C23C22×D29211yescharacteristic
608Q8—44no—
609Q8—2928no—
610Q8—5844no—
611Q8—734no—
612Q8—1462no—
613Q8—1464no—
614D4—734no—
615D4—1462no—
616D4—1464no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—2928no—
624C2×C4—2922no—
625C2×C4—2922no—
626C2×C4—2922no—
627C2×C4—2922no—
628C2×C4—2922no—
629C2×C4—2922no—
630C2×C4—5844no—
631C2×C4—5844no—
632C2×C4—1462no—
633C2×C4—1462no—
634C2×C4—1462no—
635C2×C4—1462no—
636C2×C4—1462no—
637C2×C4—1462no—
638C2×C4—1462no—
639C2×C4—1464no—
640C2×C4C22×D29212yes—
641C2×C4C22×D29212yes—
642C2×C4C22×D29212yes—
643C2×C4C22×D29212yes—
644C2×C4C22×D29212yes—
645C2×C4C22×D29212yes—
646C2×C4C22×D29211yescharacteristic
647C2×C4C2×Q8×D7312yes—
648C2×C4#1455663812yes—
649C2×C4C24×D7311yescharacteristic
650C8—22no—
651C8—22no—
652C8—22no—
653C8C2×Q8×D7314yes—
654C22—2928no—
655C22—2922no—
656C22—2922no—
657C22—1464no—
658C22Q8×D29212yes—
659C22#1798938712yes—
660C22#1798939912yes—
661C22C23×D29211yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—2922no—
669C4—2922no—
670C4—2922no—
671C4—2922no—
672C4—2922no—
673C4—2922no—
674C4—1464no—
675C4Q8×D29212yes—
676C4C22×Q8×D7311yescharacteristic
677C4C2×#1455663811yescharacteristic
678C2—2924no—
679C2#2262287814yesdirect product factor
680C2C2×Q8×D29211yescharacteristic
681C2C2×#1798938711yescharacteristic
682C2C2×#1798939911yescharacteristic
subgroupG/H
centerC23C22×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#446×C73C2
socleC23×C73C22×D4
prime radicalC22×D292C23
hypercenterC2×#446D73
hypocenterC73C2×#3388
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#17989315C2semidirect
3. #22622878C2direct (N × H)
4. C2×#17988996C2semidirect
5. C2×#17988996C2semidirect
6. C2×#17988989C2semidirect
7. C2×#17988895C2semidirect
8. C2×#17988895C2semidirect
9. C2×#17988873C2semidirect
16. C2×#446×C73C2semidirect
19. #17989315C22semidirect
42. #17988996C22semidirect
43. #17988996C22semidirect
44. #17988989C22semidirect
45. #17988895C22semidirect
46. #17988895C22semidirect
50. #17988873C22semidirect
70. #446×C73C22semidirect
84. C2×#11924017Q8semidirect
203. #11924017C2×Q8semidirect
337. C2×C73#3388semidirect
354. C2×#446D73semidirect
358. C73C2×#3388semidirect
394. #446C2×D73semidirect
679. C2#22622878direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179893152
C2×#179892972
#226228782
C2×#179889962
C2×#179889892
C2×#179888952
C2×#179888732
C2×#179888882
C2×#179888782
C2×#179886892
C2×C4×#119240172
C2×#446×C732
C2×#338873