Finite Group Databasebeta

← C2×#22621224 #33958216

Subgroups — C2×#22621224 #33958216

Order 18688.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989214C211yesmaximal, characteristic, complemented
2C2×#17989206C211yesmaximal, characteristic
3#22621224C2116yesmaximal, direct product factor
4C2×#17988996C211yesmaximal, characteristic, complemented
5C2×#17988983C211yesmaximal, characteristic, complemented
6C2×#17988941C211yesmaximal, characteristic, complemented
7C2×#17988904C211yesmaximal, characteristic
8C2×#17988927C211yesmaximal, characteristic, complemented
9C2×#17988909C211yesmaximal, characteristic
10C2×#17988916C211yesmaximal, characteristic, complemented
11C2×#17988896C211yesmaximal, characteristic, complemented
12C2×#17988870C211yesmaximal, characteristic, complemented
13C2×#17988885C211yesmaximal, characteristic, complemented
14C2×#17988875C211yesmaximal, characteristic, complemented
15C2×#17988649C211yesmaximal, characteristic, complemented
16C2×#489×C73C211yesmaximal, characteristic, complemented
17#17989214—24no—
18#17989214C2218yescomplemented
19#17989206—24no—
20#17989206C2218yes—
21C2×#14556591C2211yescharacteristic
22C2×#14556590C2211yescharacteristic
23C2×#14556589—21no—
24C2×#14556584—21no—
25C2×#14556583C2211yescharacteristic
26C2×#14556582C2211yescharacteristic
27C2×#14556581—21no—
28C2×#14556577—21no—
29C2×#14556575—21no—
30C2×#14556569—21no—
31C2×#14556568—21no—
32C2×#14556567—21no—
33C2×#14556567C2211yescharacteristic
34C2×#14556562C2211yescharacteristic
35C2×Q8×Dic73C2211yescharacteristic
36C2×D4×Dic73C2211yescharacteristic
37C2×#14556549C2211yescharacteristic
38C2×#14556548C2211yescharacteristic
39C2×C4⋊C4×D73C2211yescharacteristic
40#17988996C2218yescomplemented
41#17988983C2218yescomplemented
42#17988941C2218yescomplemented
43#17988927C2218yescomplemented
44#17988916C2218yescomplemented
45#17988909C2218yes—
46#17988904C2218yes—
47#17988896C2218yescomplemented
48#17988885C2218yescomplemented
49#17988875C2218yescomplemented
50#17988870C2218yescomplemented
51#17988649C2218yescomplemented
52C2×#14556525C2211yescharacteristic
53C2×#14556525C2211yescharacteristic
54C2×#14556523C2211yescharacteristic
55C2×#14556523C2211yescharacteristic
56C2×#14556522C2211yescharacteristic
57C2×#14556522C2211yescharacteristic
58C2×#14556522C2211yescharacteristic
59C2×#14556522C2211yescharacteristic
60C2×#14556520C2211yescharacteristic
61C2×#14556520C2211yescharacteristic
62C2×#14556515C2211yescharacteristic
63C2×#14556515C2211yescharacteristic
64C2×#14556512C2211yescharacteristic
65C2×#14556512C2211yescharacteristic
66C2×#14556503C2211yescharacteristic
67C2×#14556503C2211yescharacteristic
68C2×C4×#10596831C2211yescharacteristic
69C2×C4⋊Q8×C73C2211yescharacteristic
70C2×#124×C73C2211yescharacteristic
71#489×C73C2218yescomplemented
72C2×#103×C73C2211yescharacteristic
73C2×#103×C73C2211yescharacteristic
74C2×#102×C73C2211yescharacteristic
75C2×#102×C73C2211yescharacteristic
76C2×#97×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146—21no—
79C22×C22⋊D73—21no—
80C23×Dic73—21no—
81C22×C4×D73—21no—
82C22×C4×D73C2311yescharacteristic
83C22×#10596831C2311yescharacteristic
84C22×#10596831C2311yescharacteristic
85#14556591—22no—
86#14556591C2314yes—
87#14556590—22no—
88#14556590C2314yes—
89#14556589—28no—
90#14556584—28no—
91#14556583—22no—
92#14556583C2314yes—
93#14556582—22no—
94#14556582C2314yes—
95#14556581—28no—
96#14556577—28no—
97#14556575—28no—
98#14556569—28no—
99#14556568—28no—
100#14556567—22no—
101#14556567—28no—
102#14556567C2314yes—
103#14556562—22no—
104#14556562C2314yes—
105Q8×Dic73—22no—
106Q8×Dic73C2314yes—
107D4×Dic73—22no—
108D4×Dic73C2314yes—
109#14556549—22no—
110#14556549C2314yes—
111#14556548D414yes—
112#14556548C2314yes—
113C2×C4⋊Dic73—21no—
114C2×C4⋊Dic73—21no—
115C2×C4⋊Dic73—21no—
116C2×C4⋊Dic73C2311yescharacteristic
117C2×C4⋊Dic73C2311yescharacteristic
118C2×C4⋊Dic73C2311yescharacteristic
119C2×C4⋊Dic73C2311yescharacteristic
120C2×#11924007—21no—
121C2×#11924007—21no—
122C2×#11924007—21no—
123C2×#11924007—21no—
124C2×#11924007—21no—
125C2×#11924007—21no—
126C2×#11924007D411yescharacteristic
127C2×#11924007D411yescharacteristic
128C4⋊C4×D73—22no—
129C4⋊C4×D73C2314yes—
130C2×C22⋊Dic73—21no—
131C2×C22⋊Dic73—21no—
132C2×#11924005—21no—
133C2×#11924005—21no—
134C2×#11924005D411yescharacteristic
135C2×#11924005D411yescharacteristic
136C2×C4×Dic73—21no—
137C2×C4×Dic73—21no—
138C2×C4×Dic73C2311yescharacteristic
139#14556525C2314yes—
140#14556525C2314yes—
141#14556523C2314yes—
142#14556523C2314yes—
143#14556522C2314yes—
144#14556522C2314yes—
145#14556522C2314yes—
146#14556522C2314yes—
147#14556520C2314yes—
148#14556520C2314yes—
149#14556515C2314yes—
150#14556515C2314yes—
151#14556512C2314yes—
152#14556512C2314yes—
153#14556503C2314yes—
154#14556503C2314yes—
155C4×#10596831C2314yes—
156C22×Q8×C73—21no—
157C22×Q8×C73C2311yescharacteristic
158C22×D4×C73C2311yescharacteristic
159C22×C8×C73C2311yescharacteristic
160C22×C8×C73C2311yescharacteristic
161C4⋊Q8×C73—22no—
162C4⋊Q8×C73C2314yes—
163#124×C73—22no—
164#124×C73C2314yes—
165C2×C4⋊C4×C73—21no—
166C2×C4⋊C4×C73C2311yescharacteristic
167C2×C4⋊C4×C73C2311yescharacteristic
168C2×C22⋊C4×C73—21no—
169C2×C22⋊C4×C73—21no—
170C2×C42×C73C2311yescharacteristic
171#103×C73C2314yes—
172#103×C73C2314yes—
173#102×C73C2314yes—
174#102×C73C2314yes—
175#97×C73C2314yes—
176C23×D73C2×D411yescharacteristic
177C2×Dic146—24no—
178C2×Dic146—24no—
179C2×Dic146—82no—
180C2×Dic146—82no—
181C2×C22⋊D73—24no—
182C2×C22⋊D73—82no—
183C22×Dic73—21no—
184C22×Dic73—21no—
185C22×Dic73—21no—
186C22×Dic73—21no—
187C22×Dic73—24no—
188C22×Dic73—82no—
189C22×Dic73C2×D411yescharacteristic
190C22×Dic73C2×D411yescharacteristic
191C22×Dic73C2×D411yescharacteristic
192C2×C4×D73—22no—
193C2×C4×D73—22no—
194C2×C4×D73—24no—
195C2×C4×D73—82no—
196C2×C4×D73C2×D412yes—
197C2×C4×D73C2412yes—
198C2×#10596831—22no—
199C2×#10596831—22no—
200C2×#10596831C2412yes—
201C2×#10596831C2412yes—
202C4⋊Dic73—21no—
203C4⋊Dic73—24no—
204C4⋊Dic73—21no—
205C4⋊Dic73—21no—
206C4⋊Dic73—21no—
207C4⋊Dic73—24no—
208C4⋊Dic73—24no—
209C4⋊Dic73C2412yes—
210C4⋊Dic73C2412yes—
211C4⋊Dic73C2412yes—
212C4⋊Dic73C2412yes—
213#11924007—24no—
214#11924007—24no—
215#11924007—24no—
216#11924007—24no—
217#11924007—24no—
218#11924007—24no—
219#11924007C2×D414yes—
220#11924007C2×D414yes—
221C22⋊Dic73—24no—
222C22⋊Dic73—24no—
223#11924005—24no—
224#11924005—24no—
225#11924005C2×D414yes—
226#11924005C2×D414yes—
227C4×Dic73—24no—
228C4×Dic73—24no—
229C4×Dic73C2×D412yes—
230C4×Dic73C2412yes—
231C24×C73—21no—
232C2×Q8×C73—21no—
233C2×Q8×C73—24no—
234C2×Q8×C73—22no—
235C2×Q8×C73—22no—
236C2×Q8×C73—82no—
237C2×Q8×C73C2412yes—
238C2×D4×C73—21no—
239C2×D4×C73—22no—
240C2×D4×C73—22no—
241C2×D4×C73C2412yes—
242C22×C4×C73—21no—
243C22×C4×C73—21no—
244C22×C4×C73—21no—
245C22×C4×C73C2×D411yescharacteristic
246C22×C4×C73C2×D411yescharacteristic
247C22×C4×C73C2411yescharacteristic
248C2×C8×C73—22no—
249C2×C8×C73—22no—
250C2×C8×C73C2412yes—
251C2×C8×C73C2412yes—
252C4⋊C4×C73—24no—
253C4⋊C4×C73—21no—
254C4⋊C4×C73—21no—
255C4⋊C4×C73C2412yes—
256C4⋊C4×C73C2412yes—
257C22⋊C4×C73—24no—
258C22⋊C4×C73—24no—
259C42×C73C2×D412yes—
260C42×C73C2412yes—
261C23×C73—22no—
262C23×C73—42no—
263C23×C73—42no—
264C23×C73—42no—
265C23×C73C22×D411yescharacteristic
266C22×D73—22no—
267C22×D73—22no—
268C22×D73—22no—
269C22×D73C22×D412yes—
270Q8×C73—22no—
271Q8×C73—22no—
272Q8×C73—42no—
273Q8×C73—84no—
274D4×C73—22no—
275D4×C73—22no—
276D4×C73—42no—
277C2×C4×C73—22no—
278C2×C4×C73—22no—
279C2×C4×C73—22no—
280C2×C4×C73—22no—
281C2×C4×C73—22no—
282C2×C4×C73—42no—
283C2×C4×C73—42no—
284C2×C4×C73—42no—
285C2×C4×C73C22×D412yes—
286C2×C4×C73C22×D412yes—
287C2×C4×C73C22×D411yescharacteristic
288C2×C4×C732−1+412yes—
289C2×C4×C732−1+412yes—
290C2×C4×C73C2511yescharacteristic
291C22⋊D73—84no—
292C2×Dic73—22no—
293C2×Dic73—22no—
294C2×Dic73—22no—
295C2×Dic73—22no—
296C2×Dic73—22no—
297C2×Dic73—22no—
298C2×Dic73—22no—
299C2×Dic73—42no—
300C2×Dic73—42no—
301C2×Dic73—42no—
302C2×Dic73—42no—
303C2×Dic73—84no—
304C2×Dic73C22×D412yes—
305C2×Dic73C22×D412yes—
306C2×Dic73C22×D412yes—
307C4×D73—24no—
308C4×D73—22no—
309C4×D73—22no—
310C4×D73—84no—
311Dic146—84no—
312Dic146—84no—
313C8×C73—22no—
314C8×C73—22no—
315#10596831—22no—
316#10596831—22no—
317C22×C73—42no—
318C22×C73—42no—
319C22×C73—42no—
320C22×C73—84no—
321C22×C73#53612yes—
322C22×C73#57712yes—
323C22×C73#57712yes—
324C22×C73C23×D411yescharacteristic
325C2×D73—22no—
326C2×D73—22no—
327C2×D73—22no—
328C2×D73—44no—
329C4×C73—22no—
330C4×C73—22no—
331C4×C73—42no—
332C4×C73—42no—
333C4×C73—42no—
334C4×C73#53612yes—
335C4×C73C2×2−1+411yescharacteristic
336C4×C73C2×2−1+411yescharacteristic
337Dic73—22no—
338Dic73—22no—
339Dic73—22no—
340Dic73—42no—
341Dic73—42no—
342Dic73—42no—
343Dic73—42no—
344C2×#3244—731nomaximal, Sylow
345C2×C73—82no—
346C2×C73#324414yescomplemented
347C2×C73C2×#53611yescharacteristic
348C2×C73C2×#57711yescharacteristic
349C2×C73C2×#57711yescharacteristic
350D73—42no—
351C2×#544—731no—
352C2×#542—731no—
353#3244—7316no—
354C2×#501—731no—
355C2×#498—731no—
356C2×#489D7311yescharacteristic, complemented
357C2×#488—731no—
358C2×#481—731no—
359C2×#485—731no—
360C2×#482—731no—
361C2×#483—731no—
362C2×#479—731no—
363C2×#475—731no—
364C2×#478—731no—
365C2×#476—731no—
366C2×#433—731no—
367C73C2×#324411yescharacteristic, complemented, Sylow
368#544—738no—
369#544—1464no—
370#542—738no—
371#542—1464no—
372C2×C4⋊Q8—731no—
373C2×C4⋊Q8—731no—
374C2×C4⋊Q8—1461no—
375C2×C4⋊Q8C2×D7311yescharacteristic
376C2×#126—1461no—
377C2×#125—731no—
378C2×#125—731no—
379C2×#125—1461no—
380C2×#124—1461no—
381C2×#124C2×D7311yescharacteristic
382C2×#123—1461no—
383C2×C22⋊Q8—731no—
384C2×C22⋊Q8—1461no—
385C2×C22⋊Q8—1461no—
386C2×C22⋊Q8—1461no—
387C2×#121—731no—
388C2×C4×Q8—731no—
389C2×C4×D4—731no—
390C2×#117—731no—
391C2×#117—731no—
392C22×C4⋊C4—731no—
393#501—738no—
394#498—738no—
395#489C2×D7318yescomplemented
396#488—738no—
397#485—738no—
398#483—738no—
399#482—738no—
400#481—738no—
401#479—738no—
402#478—738no—
403#476—738no—
404#475—738no—
405#433—738no—
406C2×#107—731no—
407C2×#107—731no—
408C2×#106—731no—
409C2×#106—731no—
410C2×#106—731no—
411C2×#106—731no—
412C2×#106—731no—
413C2×#106—731no—
414C2×C4⋊C8—731no—
415C2×C4⋊C8—731no—
416C2×#103—731no—
417C2×#103—731no—
418C2×#103C2×D7311yescharacteristic
419C2×#103C2×D7311yescharacteristic
420C2×#102—731no—
421C2×#102—731no—
422C2×#102C2×D7311yescharacteristic
423C2×#102C2×D7311yescharacteristic
424C2×C22⋊C8—731no—
425C2×C22⋊C8—731no—
426C2×#97C2×D7311yescharacteristic
427C2×C4×C8—731no—
428C22×Q8—21no—
429C22×Q8—1461no—
430C22×Q8—1461no—
431C22×Q8C22×D7311yescharacteristic
432C22×D4—1461no—
433C22×D4C22×D7311yescharacteristic
434C23×C4—731no—
435C23×C4—1461no—
436C23×C4—1461no—
437C22×C8—731no—
438C22×C8—731no—
439C22×C8C22×D7311yescharacteristic
440C22×C8C22×D7311yescharacteristic
441C4⋊Q8—22no—
442C4⋊Q8—734no—
443C4⋊Q8—734no—
444C4⋊Q8—1462no—
445C4⋊Q8—1468no—
446C4⋊Q8—1462no—
447C4⋊Q8C22×D7314yes—
448#126—1468no—
449#125—734no—
450#125—734no—
451#125—1462no—
452#125—1468no—
453#125—1462no—
454#124—22no—
455#124—1468no—
456#124C22×D7314yes—
457#123—1468no—
458C22⋊Q8—734no—
459C22⋊Q8—1468no—
460C22⋊Q8—1468no—
461C22⋊Q8—1468no—
462C22⋊Q8—1462no—
463#121—734no—
464#121—1462no—
465C4×Q8—734no—
466C4×Q8—1462no—
467C4×D4—734no—
468C4×D4—1462no—
469#117—734no—
470#117—734no—
471#117—734no—
472#117—1462no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—731no—
475C2×C4⋊C4—731no—
476C2×C4⋊C4—731no—
477C2×C4⋊C4—731no—
478C2×C4⋊C4—731no—
479C2×C4⋊C4—731no—
480C2×C4⋊C4—734no—
481C2×C4⋊C4—1462no—
482C2×C4⋊C4—1461no—
483C2×C4⋊C4—1461no—
484C2×C4⋊C4—1461no—
485C2×C4⋊C4—1461no—
486C2×C4⋊C4—1461no—
487C2×C4⋊C4—1461no—
488C2×C4⋊C4—1461no—
489C2×C4⋊C4—1461no—
490C2×C4⋊C4—1461no—
491C2×C4⋊C4C22×D7311yescharacteristic
492C2×C4⋊C4C22×D7311yescharacteristic
493C2×C22⋊C4—21no—
494C2×C22⋊C4—21no—
495C2×C22⋊C4—731no—
496C2×C22⋊C4—731no—
497C2×C22⋊C4—1461no—
498C2×C22⋊C4—1461no—
499C2×C22⋊C4—1461no—
500C2×C22⋊C4—1461no—
501C2×C42—731no—
502C2×C42—1461no—
503C2×C42—1461no—
504C2×C42C22×D7311yescharacteristic
505#107—734no—
506#107—734no—
507#106—734no—
508#106—734no—
509#106—734no—
510#106—734no—
511#106—734no—
512#106—734no—
513C4⋊C8—734no—
514C4⋊C8—734no—
515#103—734no—
516#103—734no—
517#103C22×D7314yes—
518#103C22×D7314yes—
519#102—734no—
520#102—734no—
521#102C22×D7314yes—
522#102C22×D7314yes—
523C22⋊C8—734no—
524C22⋊C8—734no—
525#97C22×D7314yes—
526C4×C8—734no—
527C24—21no—
528C24—731no—
529C2×Q8—21no—
530C2×Q8—24no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—82no—
534C2×Q8—5842no—
535C2×Q8—5842no—
536C2×Q8—1464no—
537C2×Q8—1464no—
538C2×Q8C23×D7312yes—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—5842no—
543C2×D4—1464no—
544C2×D4C23×D7312yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—5842no—
549C22×C4—5842no—
550C22×C4—731no—
551C22×C4—731no—
552C22×C4—731no—
553C22×C4—732no—
554C22×C4—732no—
555C22×C4—1464no—
556C22×C4—1461no—
557C22×C4—1461no—
558C22×C4—1461no—
559C22×C4—1461no—
560C22×C4—1464no—
561C22×C4—1462no—
562C22×C4—1462no—
563C22×C4D4×D7311yescharacteristic
564C22×C4D4×D7311yescharacteristic
565C22×C4C23×D7311yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—732no—
569C2×C8—732no—
570C2×C8—1462no—
571C2×C8—1462no—
572C2×C8C23×D7312yes—
573C2×C8C23×D7312yes—
574C4⋊C4—24no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—734no—
578C4⋊C4—734no—
579C4⋊C4—732no—
580C4⋊C4—732no—
581C4⋊C4—732no—
582C4⋊C4—732no—
583C4⋊C4—1464no—
584C4⋊C4—1464no—
585C4⋊C4—1464no—
586C4⋊C4—1464no—
587C4⋊C4—1464no—
588C4⋊C4—1464no—
589C4⋊C4—1464no—
590C4⋊C4—1464no—
591C4⋊C4—1461no—
592C4⋊C4—1461no—
593C4⋊C4—1461no—
594C4⋊C4—1461no—
595C4⋊C4—1464no—
596C4⋊C4C23×D7312yes—
597C4⋊C4C23×D7312yes—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C22⋊C4—734no—
601C22⋊C4—734no—
602C22⋊C4—1464no—
603C22⋊C4—1464no—
604C22⋊C4—1464no—
605C22⋊C4—1464no—
606C42—732no—
607C42—732no—
608C42—1464no—
609C42—1464no—
610C42D4×D7312yes—
611C42C23×D7312yes—
612C23—22no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—732no—
617C23—1462no—
618C23—1462no—
619C23—1462no—
620C23C2×D4×D7311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—84no—
625Q8—5844no—
626Q8—5844no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—5844no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—2922no—
640C2×C4—2922no—
641C2×C4—2922no—
642C2×C4—2922no—
643C2×C4—5844no—
644C2×C4—5844no—
645C2×C4—732no—
646C2×C4—732no—
647C2×C4—732no—
648C2×C4—1462no—
649C2×C4—1462no—
650C2×C4—1462no—
651C2×C4—1462no—
652C2×C4—1462no—
653C2×C4—1462no—
654C2×C4—1462no—
655C2×C4—1464no—
656C2×C4—1462no—
657C2×C4—1462no—
658C2×C4C2×D4×D7312yes—
659C2×C4C2×D4×D7312yes—
660C2×C4C2×D4×D7311yescharacteristic
661C2×C4#1455663812yes—
662C2×C4#1455663812yes—
663C2×C4C24×D7311yescharacteristic
664C8—22no—
665C8—22no—
666C8—1462no—
667C8—1462no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—84no—
672C22—2924no—
673C22—1462no—
674C22—1462no—
675C22—1462no—
676C22#1798915712yes—
677C22#1798939612yes—
678C22#1798939712yes—
679C22C22×D4×D7311yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—2922no—
686C4—2922no—
687C4—2922no—
688C4—2922no—
689C4—1462no—
690C4—1462no—
691C4—1462no—
692C4#1798915712yes—
693C4C2×#1455663811yescharacteristic
694C4C2×#1455663811yescharacteristic
695C2—82no—
696C2—2922no—
697C2#2262122414yesdirect product factor
698C2C2×#1798915711yescharacteristic
699C2C2×#1798939611yescharacteristic
700C2C2×#1798939711yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#489×C73C2
socleC23×C73C22×D4
prime radicalC2×#14556562C22
hypercenterC2×#489D73
hypocenterC73C2×#3244
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#489

Complements

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

NH ≅ G/Ntype
1. C2×#17989214C2semidirect
3. #22621224C2direct (N × H)
4. C2×#17988996C2semidirect
5. C2×#17988983C2semidirect
6. C2×#17988941C2semidirect
8. C2×#17988927C2semidirect
10. C2×#17988916C2semidirect
11. C2×#17988896C2semidirect
12. C2×#17988870C2semidirect
13. C2×#17988885C2semidirect
14. C2×#17988875C2semidirect
15. C2×#17988649C2semidirect
16. C2×#489×C73C2semidirect
18. #17989214C22semidirect
40. #17988996C22semidirect
41. #17988983C22semidirect
42. #17988941C22semidirect
43. #17988927C22semidirect
44. #17988916C22semidirect
47. #17988896C22semidirect
48. #17988885C22semidirect
49. #17988875C22semidirect
50. #17988870C22semidirect
51. #17988649C22semidirect
71. #489×C73C22semidirect
346. C2×C73#3244semidirect
356. C2×#489D73semidirect
367. C73C2×#3244semidirect
395. #489C2×D73semidirect
697. C2#22621224direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179892142
C2×#179892062
#226212242
C2×#179889962
C2×#179889832
C2×#179889412
C2×#179889042
C2×#179889272
C2×#179889092
C2×#179889162
C2×#179888962
C2×#179888702
C2×#179888852
C2×#179888752
C2×#179886492
C2×#489×C732
C2×#324473