Finite Group Databasebeta

← C2×#22620458 #33955604

Subgroups — C2×#22620458 #33955604

Order 18688.

1854 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989217C211yesmaximal, characteristic
2C2×#17989214C211yesmaximal, characteristic
3#22620458C2116yesmaximal, direct product factor
4C2×#17988996C211yesmaximal, characteristic, complemented
5C2×#17988995C211yesmaximal, characteristic, complemented
6C2×#17988994C211yesmaximal, characteristic, complemented
7C2×#17988988C211yesmaximal, characteristic, complemented
8C2×#17988986C211yesmaximal, characteristic, complemented
9C2×#17988984C211yesmaximal, characteristic, complemented
10C2×#17988983C211yesmaximal, characteristic, complemented
11C2×#17988628C211yesmaximal, characteristic
12C2×#17988626C211yesmaximal, characteristic
13C2×#17988624C211yesmaximal, characteristic
14C2×#106×D73C211yesmaximal, characteristic
15C2×#17988544C211yesmaximal, characteristic
16C2×#501×C73C211yesmaximal, characteristic, complemented
17C22×#11924011C2211yescharacteristic
18C22×C8×D73C2211yescharacteristic
19#17989217—24no—
20#17989217C2218yes—
21#17989214—24no—
22#17989214C2218yes—
23C2×#14556591C2211yescharacteristic
24C2×#14556590—21no—
25C2×#14556590C2211yescharacteristic
26C2×#14556590C2211yescharacteristic
27C2×#14556589—21no—
28C2×#14556583C2211yescharacteristic
29C2×#14556582C2211yescharacteristic
30C2×#14556582C2211yescharacteristic
31C2×#14556581—21no—
32C2×#14556581—21no—
33C2×#14556571—21no—
34C2×#14556569—21no—
35C2×#14556569—21no—
36C2×#14556567—21no—
37C2×#14556549C2211yescharacteristic
38C2×#14556549C2211yescharacteristic
39C2×#14556548C2211yescharacteristic
40C2×C4⋊C4×D73C2211yescharacteristic
41C2×C4⋊C4×D73C2211yescharacteristic
42#17988996C2218yescomplemented
43#17988995C2218yescomplemented
44#17988994C2218yescomplemented
45#17988988C2218yescomplemented
46#17988986C2218yescomplemented
47#17988984C2218yescomplemented
48#17988983C2218yescomplemented
49#17988628C2218yes—
50#17988626C2218yes—
51#17988624C2218yes—
52C2×#14556525C2211yescharacteristic
53C2×#14556525C2211yescharacteristic
54C2×#14556524C2211yescharacteristic
55C2×#14556524C2211yescharacteristic
56C2×#14556523C2211yescharacteristic
57C2×#14556523C2211yescharacteristic
58C2×#14556522C2211yescharacteristic
59C2×#14556522C2211yescharacteristic
60C2×#14556522C2211yescharacteristic
61C2×#14556522C2211yescharacteristic
62C2×#14556522C2211yescharacteristic
63C2×#14556522C2211yescharacteristic
64#106×D73C2218yes—
65#17988544C2218yes—
66C2×#14556501C2211yescharacteristic
67C2×C4×#10596831C2211yescharacteristic
68C2×C8×Dic73C2211yescharacteristic
69C2×C4⋊Q8×C73C2211yescharacteristic
70C2×#125×C73C2211yescharacteristic
71#501×C73C2218yescomplemented
72C2×#107×C73C2211yescharacteristic
73C2×#107×C73C2211yescharacteristic
74C2×#106×C73C2211yescharacteristic
75C2×#106×C73C2211yescharacteristic
76C2×#97×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146—21no—
79C22×Dic146—21no—
80C22×C4×D73—21no—
81C22×C4×D73—21no—
82C22×C4×D73C2311yescharacteristic
83C2×#11924011Q818yescomplemented
84C2×#11924011C2314yes—
85C22×#10596831C2311yescharacteristic
86C22×#10596831C2311yescharacteristic
87C2×C8×D73Q818yescomplemented
88C2×C8×D73C2314yes—
89#14556591—22no—
90#14556591C2314yes—
91#14556590—28no—
92#14556590—22no—
93#14556590—22no—
94#14556590C2314yes—
95#14556590C2314yes—
96#14556589—28no—
97#14556583—22no—
98#14556583C2314yes—
99#14556582—22no—
100#14556582—22no—
101#14556582C2314yes—
102#14556582C2314yes—
103#14556581—28no—
104#14556581—28no—
105#14556571—28no—
106#14556569—28no—
107#14556569—28no—
108#14556567—28no—
109#14556549—22no—
110#14556549—22no—
111#14556549C2314yes—
112#14556549C2314yes—
113#14556548D414yes—
114#14556548C2314yes—
115C2×C4⋊Dic73—21no—
116C2×C4⋊Dic73—21no—
117C2×C4⋊Dic73—21no—
118C2×C4⋊Dic73C2311yescharacteristic
119C2×C4⋊Dic73C2311yescharacteristic
120C2×C4⋊Dic73C2311yescharacteristic
121C2×C4⋊Dic73C2311yescharacteristic
122C2×#11924007—21no—
123C2×#11924007—21no—
124C2×#11924007—21no—
125C2×#11924007—21no—
126C2×#11924007—21no—
127C2×#11924007—21no—
128C2×#11924007—21no—
129C2×#11924007—21no—
130C2×#11924007D411yescharacteristic
131C2×#11924007D411yescharacteristic
132C4⋊C4×D73—22no—
133C4⋊C4×D73—22no—
134C4⋊C4×D73C2314yes—
135C4⋊C4×D73C2314yes—
136C2×#11924005—21no—
137C2×#11924005—21no—
138C2×#11924005D411yescharacteristic
139C2×#11924005D411yescharacteristic
140C2×C4×Dic73—21no—
141C2×C4×Dic73—21no—
142C2×C4×Dic73C2311yescharacteristic
143#14556525C2314yes—
144#14556525C2314yes—
145#14556524C2314yes—
146#14556524C2314yes—
147#14556523C2314yes—
148#14556523C2314yes—
149#14556522C2314yes—
150#14556522C2314yes—
151#14556522C2314yes—
152#14556522C2314yes—
153#14556522C2314yes—
154#14556522C2314yes—
155#14556501C2314yes—
156C4×#10596831C2314yes—
157C8×Dic73C2314yes—
158C22×Q8×C73—21no—
159C22×C8×C73C2311yescharacteristic
160C22×C8×C73C2311yescharacteristic
161C4⋊Q8×C73—22no—
162C4⋊Q8×C73C2314yes—
163#125×C73—22no—
164#125×C73C2314yes—
165C2×C4⋊C4×C73—21no—
166C2×C4⋊C4×C73—21no—
167C2×C4⋊C4×C73—21no—
168C2×C4⋊C4×C73C2311yescharacteristic
169C2×C4⋊C4×C73C2311yescharacteristic
170C2×C4⋊C4×C73C2311yescharacteristic
171C2×C4⋊C4×C73C2311yescharacteristic
172C2×C42×C73C2311yescharacteristic
173#107×C73C2314yes—
174#107×C73C2314yes—
175#106×C73C2314yes—
176#106×C73C2314yes—
177#97×C73C2314yes—
178C23×D73C2×D411yescharacteristic
179C2×Dic146—24no—
180C2×Dic146—24no—
181C2×Dic146—24no—
182C2×Dic146—82no—
183C2×Dic146—82no—
184C2×Dic146—82no—
185C22×Dic73—21no—
186C22×Dic73—21no—
187C22×Dic73—21no—
188C22×Dic73—21no—
189C22×Dic73C2×D411yescharacteristic
190C22×Dic73C2×D411yescharacteristic
191C22×Dic73C2×D411yescharacteristic
192C2×C4×D73—24no—
193C2×C4×D73—24no—
194C2×C4×D73—82no—
195C2×C4×D73—82no—
196C2×C4×D73C2×D412yes—
197C2×C4×D73C2×Q814yes—
198C2×C4×D73C2×Q814yes—
199C2×C4×D73C2412yes—
200#11924011C2×Q8116yescomplemented
201C2×#10596831C2×Q814yes—
202C2×#10596831C2×Q814yes—
203C2×#10596831C2412yes—
204C2×#10596831C2412yes—
205C8×D73C2×Q8116yescomplemented
206C4⋊Dic73—21no—
207C4⋊Dic73—21no—
208C4⋊Dic73—24no—
209C4⋊Dic73—21no—
210C4⋊Dic73—21no—
211C4⋊Dic73—24no—
212C4⋊Dic73—24no—
213C4⋊Dic73C2412yes—
214C4⋊Dic73C2412yes—
215C4⋊Dic73C2412yes—
216C4⋊Dic73C2412yes—
217#11924007—24no—
218#11924007—24no—
219#11924007—24no—
220#11924007—24no—
221#11924007—24no—
222#11924007—24no—
223#11924007—24no—
224#11924007—24no—
225#11924007C2×D414yes—
226#11924007C2×D414yes—
227#11924005—24no—
228#11924005—24no—
229#11924005C2×D414yes—
230#11924005C2×D414yes—
231C4×Dic73—24no—
232C4×Dic73—24no—
233C4×Dic73C2×D412yes—
234C4×Dic73C2412yes—
235C2×Q8×C73—24no—
236C2×Q8×C73—82no—
237C22×C4×C73—21no—
238C22×C4×C73—21no—
239C22×C4×C73—21no—
240C22×C4×C73—21no—
241C22×C4×C73C2×D411yescharacteristic
242C22×C4×C73C2×D411yescharacteristic
243C22×C4×C73C2411yescharacteristic
244C2×C8×C73C2×Q814yes—
245C2×C8×C73C2×Q814yes—
246C2×C8×C73C2412yes—
247C2×C8×C73C2412yes—
248C4⋊C4×C73—24no—
249C4⋊C4×C73—24no—
250C4⋊C4×C73—24no—
251C4⋊C4×C73—21no—
252C4⋊C4×C73—21no—
253C4⋊C4×C73—21no—
254C4⋊C4×C73—21no—
255C4⋊C4×C73C2412yes—
256C4⋊C4×C73C2412yes—
257C4⋊C4×C73C2412yes—
258C4⋊C4×C73C2412yes—
259C42×C73C2×D412yes—
260C42×C73C2412yes—
261C23×C73C22×D411yescharacteristic
262C22×D73—22no—
263C22×D73—22no—
264C22×D73C4⋊Q814yes—
265C22×D73C22×D412yes—
266Q8×C73—84no—
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×C73—42no—
274C2×C4×C73—42no—
275C2×C4×C73—42no—
276C2×C4×C73—42no—
277C2×C4×C73C22×D412yes—
278C2×C4×C73C22×D412yes—
279C2×C4×C73C22×D411yescharacteristic
280C2×C4×C73C22×Q812yes—
281C2×C4×C73C22×Q812yes—
282C2×C4×C73C2511yescharacteristic
283C2×Dic73—22no—
284C2×Dic73—22no—
285C2×Dic73—22no—
286C2×Dic73—22no—
287C2×Dic73—22no—
288C2×Dic73—22no—
289C2×Dic73—42no—
290C2×Dic73—42no—
291C2×Dic73—42no—
292C2×Dic73—42no—
293C2×Dic73C4⋊Q814yes—
294C2×Dic73C22×D412yes—
295C2×Dic73C22×D412yes—
296C2×Dic73C22×D412yes—
297C4×D73—84no—
298C4×D73—84no—
299C4×D73C4⋊Q818yes—
300C4×D73C22×Q814yes—
301C4×D73C22×Q814yes—
302Dic146—84no—
303Dic146—84no—
304Dic146—84no—
305C8×C73C22×Q814yes—
306C8×C73C22×Q814yes—
307#10596831C22×Q814yes—
308#10596831C22×Q814yes—
309C22×C73C2×C4⋊Q812yes—
310C22×C73#57712yes—
311C22×C73#57712yes—
312C22×C73C23×D411yescharacteristic
313C2×D73—28no—
314C2×D73—22no—
315C2×D73—22no—
316C2×D73C2×C4⋊Q814yes—
317C4×C73—22no—
318C4×C73—22no—
319C4×C73—42no—
320C4×C73—42no—
321C4×C73—42no—
322C4×C73—42no—
323C4×C73C2×C4⋊Q812yes—
324C4×C73C23×Q811yescharacteristic
325C4×C73C23×Q811yescharacteristic
326Dic73—22no—
327Dic73—22no—
328Dic73—42no—
329Dic73—42no—
330Dic73—42no—
331Dic73—42no—
332Dic73C2×C4⋊Q814yes—
333C2×#3163—731nomaximal, Sylow
334C2×C73#316314yescomplemented
335C2×C73C22×C4⋊Q811yescharacteristic
336C2×C73C2×#57711yescharacteristic
337C2×C73C2×#57711yescharacteristic
338D73—24no—
339C2×#544—731no—
340C2×#544—731no—
341#3163—7316no—
342C2×#501—731no—
343C2×#501—731no—
344C2×#501—731no—
345C2×#501D7311yescharacteristic, complemented
346C2×#499—731no—
347C2×#499—731no—
348C2×#498—731no—
349C2×#498—731no—
350C2×#428—731no—
351C2×#428—731no—
352C2×#427—731no—
353C22×#106—731no—
354C2×#405—731no—
355C73C2×#316311yescharacteristic, complemented, Sylow
356C22×M16—731no—
357C23×C8—731no—
358#544—738no—
359#544—738no—
360#544—1464no—
361#544—1464no—
362C2×C4⋊Q8—731no—
363C2×C4⋊Q8—731no—
364C2×C4⋊Q8—731no—
365C2×C4⋊Q8—1461no—
366C2×C4⋊Q8—1461no—
367C2×C4⋊Q8C2×D7311yescharacteristic
368C2×#125—731no—
369C2×#125—731no—
370C2×#125—731no—
371C2×#125—1461no—
372C2×#125—1461no—
373C2×#125C2×D7311yescharacteristic
374C2×C22⋊Q8—1461no—
375C2×C22⋊Q8—1461no—
376C2×C22⋊Q8—1461no—
377C2×C22⋊Q8—1461no—
378C2×#117—731no—
379C2×#117—731no—
380C2×#117—731no—
381C22×C4⋊C4—731no—
382C22×C4⋊C4—731no—
383#501—738no—
384#501—738no—
385#501—738no—
386#501C2×D7318yescomplemented
387#499—738no—
388#499—738no—
389#498—738no—
390#498—738no—
391#428—738no—
392#428—738no—
393#427—738no—
394C2×#107—731no—
395C2×#107—731no—
396C2×#107—731no—
397C2×#107—731no—
398C2×#107C2×D7311yescharacteristic
399C2×#107C2×D7311yescharacteristic
400C2×#106—731no—
401C2×#106—731no—
402C2×#106—731no—
403C2×#106—731no—
404C2×#106—731no—
405C2×#106—731no—
406C2×#106—731no—
407C2×#106—731no—
408C2×#106—738no—
409C2×#106C2×D7311yescharacteristic
410C2×#106C2×D7311yescharacteristic
411#405—738no—
412C2×#97—731no—
413C2×#97C2×D7311yescharacteristic
414C2×C4×C8—731no—
415C2×C4×C8—731no—
416C22×Q8—21no—
417C22×Q8—1461no—
418C22×Q8—1461no—
419C22×Q8—1461no—
420C23×C4—731no—
421C23×C4—1461no—
422C23×C4—1461no—
423C2×M16—738no—
424C2×M16—734no—
425C22×C8—731no—
426C22×C8—731no—
427C22×C8—738no—
428C22×C8—734no—
429C22×C8C22×D7311yescharacteristic
430C22×C8C22×D7311yescharacteristic
431C4⋊Q8—22no—
432C4⋊Q8—734no—
433C4⋊Q8—734no—
434C4⋊Q8—734no—
435C4⋊Q8—1462no—
436C4⋊Q8—1462no—
437C4⋊Q8—1468no—
438C4⋊Q8—1468no—
439C4⋊Q8—1462no—
440C4⋊Q8C22×D7314yes—
441#125—22no—
442#125—734no—
443#125—734no—
444#125—734no—
445#125—1462no—
446#125—1462no—
447#125—1468no—
448#125—1468no—
449#125—1462no—
450#125C22×D7314yes—
451C22⋊Q8—1468no—
452C22⋊Q8—1468no—
453C22⋊Q8—1468no—
454C22⋊Q8—1468no—
455#117—734no—
456#117—734no—
457#117—734no—
458#117—734no—
459#117—1462no—
460#117—1462no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—731no—
465C2×C4⋊C4—731no—
466C2×C4⋊C4—731no—
467C2×C4⋊C4—731no—
468C2×C4⋊C4—731no—
469C2×C4⋊C4—731no—
470C2×C4⋊C4—734no—
471C2×C4⋊C4—734no—
472C2×C4⋊C4—1462no—
473C2×C4⋊C4—1462no—
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⋊C4C22×D7311yescharacteristic
486C2×C4⋊C4C22×D7311yescharacteristic
487C2×C4⋊C4C22×D7311yescharacteristic
488C2×C4⋊C4C22×D7311yescharacteristic
489C2×C22⋊C4—731no—
490C2×C22⋊C4—731no—
491C2×C22⋊C4—1461no—
492C2×C22⋊C4—1461no—
493C2×C42—731no—
494C2×C42—1461no—
495C2×C42—1461no—
496C2×C42C22×D7311yescharacteristic
497#107—734no—
498#107—734no—
499#107—734no—
500#107—734no—
501#107C22×D7314yes—
502#107C22×D7314yes—
503#106—734no—
504#106—734no—
505#106—734no—
506#106—734no—
507#106—734no—
508#106—734no—
509#106—734no—
510#106—734no—
511#106C22×D7314yes—
512#106C22×D7314yes—
513#97—734no—
514#97C22×D7314yes—
515C4×C8—734no—
516C4×C8—734no—
517C24—731no—
518C2×Q8—24no—
519C2×Q8—82no—
520C2×Q8—5842no—
521C2×Q8—5842no—
522C2×Q8—5842no—
523C2×Q8—1464no—
524C2×Q8—1464no—
525C2×Q8—1464no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—5842no—
531C22×C4—5842no—
532C22×C4—731no—
533C22×C4—732no—
534C22×C4—734no—
535C22×C4—734no—
536C22×C4—732no—
537C22×C4—731no—
538C22×C4—731no—
539C22×C4—1464no—
540C22×C4—1464no—
541C22×C4—1461no—
542C22×C4—1461no—
543C22×C4—1461no—
544C22×C4—1461no—
545C22×C4D4×D7311yescharacteristic
546C22×C4D4×D7311yescharacteristic
547C22×C4C23×D7311yescharacteristic
548M16—7316no—
549C2×C8—734no—
550C2×C8—734no—
551C2×C8—732no—
552C2×C8—732no—
553C2×C8—7316no—
554C2×C8Q8×D7314yes—
555C2×C8Q8×D7314yes—
556C2×C8C23×D7312yes—
557C2×C8C23×D7312yes—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—734no—
566C4⋊C4—734no—
567C4⋊C4—732no—
568C4⋊C4—732no—
569C4⋊C4—732no—
570C4⋊C4—732no—
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—1464no—
581C4⋊C4—1461no—
582C4⋊C4—1461no—
583C4⋊C4—1461no—
584C4⋊C4—1461no—
585C4⋊C4—1464no—
586C4⋊C4C23×D7312yes—
587C4⋊C4C23×D7312yes—
588C4⋊C4C23×D7312yes—
589C4⋊C4C23×D7312yes—
590C22⋊C4—734no—
591C22⋊C4—734no—
592C22⋊C4—1464no—
593C22⋊C4—1464no—
594C42—732no—
595C42—732no—
596C42—1464no—
597C42—1464no—
598C42D4×D7312yes—
599C42C23×D7312yes—
600C23—734no—
601C23—732no—
602C23—1462no—
603C23—1462no—
604C23C2×D4×D7311yescharacteristic
605Q8—84no—
606Q8—5844no—
607Q8—5844no—
608Q8—5844no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—2922no—
620C2×C4—2922no—
621C2×C4—2922no—
622C2×C4—2922no—
623C2×C4—5844no—
624C2×C4—5844no—
625C2×C4—734no—
626C2×C4—732no—
627C2×C4—738no—
628C2×C4—734no—
629C2×C4—734no—
630C2×C4—732no—
631C2×C4—732no—
632C2×C4—1462no—
633C2×C4—1462no—
634C2×C4—1462no—
635C2×C4—1462no—
636C2×C4—1462no—
637C2×C4—1462no—
638C2×C4C2×D4×D7312yes—
639C2×C4C2×D4×D7312yes—
640C2×C4C2×D4×D7311yescharacteristic
641C2×C4C2×Q8×D7312yes—
642C2×C4C2×Q8×D7312yes—
643C2×C4C24×D7311yescharacteristic
644C8—734no—
645C8—734no—
646C8C2×Q8×D7314yes—
647C8C2×Q8×D7314yes—
648C22—734no—
649C22—1468no—
650C22—1462no—
651C22—1462no—
652C22C4⋊Q8×D7312yes—
653C22#1798939612yes—
654C22#1798939712yes—
655C22C22×D4×D7311yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—2922no—
663C4—2922no—
664C4—2922no—
665C4—2922no—
666C4—734no—
667C4—1462no—
668C4—1462no—
669C4C4⋊Q8×D7312yes—
670C4C22×Q8×D7311yescharacteristic
671C4C22×Q8×D7311yescharacteristic
672C2—1464no—
673C2#2262045814yesdirect product factor
674C2C2×C4⋊Q8×D7311yescharacteristic
675C2C2×#1798939611yescharacteristic
676C2C2×#1798939711yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#501×C73C2
socleC23×C73C22×D4
prime radicalC23×D73C2×D4
hypercenterC2×#501D73
hypocenterC73C2×#3163
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
3. #22620458C2direct (N × H)
4. C2×#17988996C2semidirect
5. C2×#17988995C2semidirect
6. C2×#17988994C2semidirect
7. C2×#17988988C2semidirect
8. C2×#17988986C2semidirect
9. C2×#17988984C2semidirect
10. C2×#17988983C2semidirect
16. C2×#501×C73C2semidirect
42. #17988996C22semidirect
43. #17988995C22semidirect
44. #17988994C22semidirect
45. #17988988C22semidirect
46. #17988986C22semidirect
47. #17988984C22semidirect
48. #17988983C22semidirect
71. #501×C73C22semidirect
83. C2×#11924011Q8semidirect
87. C2×C8×D73Q8semidirect
200. #11924011C2×Q8semidirect
205. C8×D73C2×Q8semidirect
334. C2×C73#3163semidirect
345. C2×#501D73semidirect
355. C73C2×#3163semidirect
386. #501C2×D73semidirect
673. C2#22620458direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179892172
C2×#179892142
#226204582
C2×#179889962
C2×#179889952
C2×#179889942
C2×#179889882
C2×#179889862
C2×#179889842
C2×#179889832
C2×#179886282
C2×#179886262
C2×#179886242
C2×#106×D732
C2×#179885442
C2×#501×C732
C2×#316373