Finite Group Databasebeta

← C2×#22622674 #33965710

Subgroups — C2×#22622674 #33965710

Order 18688.

1842 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989317C211yesmaximal, characteristic, complemented
2C2×#17989309C211yesmaximal, characteristic
3#22622674C2116yesmaximal, direct product factor
4C2×#17988949C211yesmaximal, characteristic
5C2×#17988948C211yesmaximal, characteristic
6C2×#17988936C211yesmaximal, characteristic, complemented
7C2×#17988871C211yesmaximal, characteristic, complemented
8C2×#17988876C211yesmaximal, characteristic
9C2×#17988812C211yesmaximal, characteristic
10C2×#17988810C211yesmaximal, characteristic
11C2×#17988796C211yesmaximal, characteristic, complemented
12C2×#17988716C211yesmaximal, characteristic, complemented
13C2×#17988693C211yesmaximal, characteristic, complemented
14C2×#17988692C211yesmaximal, characteristic, complemented
15C2×#17988674C211yesmaximal, characteristic
16C2×#475×C73C211yesmaximal, characteristic, complemented
17C22×Dic292C2211yescharacteristic
18C22×#11924018C2211yescharacteristic
19C22×#11924017C2211yescharacteristic
20#17989317—24no—
21#17989317C2218yescomplemented
22#17989309—24no—
23#17989309C2218yes—
24C2×#14556590—21no—
25C2×#14556590C2211yescharacteristic
26C2×#14556590C2211yescharacteristic
27C2×#14556589—21no—
28C2×#14556589—21no—
29C2×#14556589C2211yescharacteristic
30C2×#14556586—21no—
31C2×#14556585—21no—
32C2×#14556580C2211yescharacteristic
33C2×#14556579C2211yescharacteristic
34C2×#14556569—21no—
35C2×C4×Dic146C2211yescharacteristic
36C2×C4×Dic146C2211yescharacteristic
37C2×#14556556—21no—
38C2×#14556556C2211yescharacteristic
39C2×#14556556C2211yescharacteristic
40C2×#14556556C2211yescharacteristic
41C2×#14556553C2211yescharacteristic
42C2×#14556548—21no—
43#17988949C2218yes—
44#17988948C2218yes—
45#17988936C2218yescomplemented
46#17988876C2218yes—
47#17988871C2218yescomplemented
48#17988812C2218yes—
49#17988810C2218yes—
50#17988796C2218yescomplemented
51#17988716C2218yescomplemented
52#17988693C2218yescomplemented
53#17988692C2218yescomplemented
54#17988674C2218yes—
55C2×#14556522C2211yescharacteristic
56C2×#14556520C2211yescharacteristic
57C2×#14556520C2211yescharacteristic
58C2×#14556516C2211yescharacteristic
59C2×#14556515C2211yescharacteristic
60C2×#14556514C2211yescharacteristic
61C2×#14556514C2211yescharacteristic
62C2×#14556514C2211yescharacteristic
63C2×#14556513C2211yescharacteristic
64C2×#14556511C2211yescharacteristic
65C2×#14556511C2211yescharacteristic
66C2×#14556502C2211yescharacteristic
67C2×#14556501C2211yescharacteristic
68C2×C8×Dic73C2211yescharacteristic
69C2×C4⋊Q8×C73C2211yescharacteristic
70C2×C4×Q8×C73C2211yescharacteristic
71#475×C73C2218yescomplemented
72C2×#106×C73C2211yescharacteristic
73C2×#106×C73C2211yescharacteristic
74C2×C4⋊C8×C73C2211yescharacteristic
75C2×#103×C73C2211yescharacteristic
76C2×#103×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146—21no—
79C22×Dic146D411yescharacteristic
80C22×Dic146C2311yescharacteristic
81C22×Dic146C2311yescharacteristic
82C22×D292C2311yescharacteristic
83C22×C4×D73—21no—
84C2×Dic292—24no—
85C2×Dic292C2314yes—
86C2×#11924018—24no—
87C2×#11924018C2314yes—
88C2×#11924017—24no—
89C2×#11924017C2314yes—
90C22×#10596831C2311yescharacteristic
91C22×#10596831C2311yescharacteristic
92#14556590—28no—
93#14556590—22no—
94#14556590—22no—
95#14556590C2314yes—
96#14556590C2314yes—
97#14556589—28no—
98#14556589—28no—
99#14556589—22no—
100#14556589C2314yes—
101#14556586—28no—
102#14556585—28no—
103#14556580—22no—
104#14556580C2314yes—
105#14556579—22no—
106#14556579C2314yes—
107#14556569—28no—
108C4×Dic146—22no—
109C4×Dic146D414yes—
110C4×Dic146C2314yes—
111C4×Dic146C2314yes—
112#14556556—28no—
113#14556556—22no—
114#14556556—22no—
115#14556556—22no—
116#14556556C2314yes—
117#14556556C2314yes—
118#14556556C2314yes—
119#14556553—22no—
120#14556553C2314yes—
121#14556548—28no—
122C2×C4⋊Dic73D411yescharacteristic
123C2×C4⋊Dic73C2311yescharacteristic
124C2×#11924007—21no—
125C2×#11924007—21no—
126C2×#11924007—21no—
127C2×#11924007—21no—
128C2×#11924007—21no—
129C2×#11924007—21no—
130C2×#11924007—21no—
131C2×#11924007—21no—
132C2×#11924007D411yescharacteristic
133C2×#11924007D411yescharacteristic
134C2×#11924005—21no—
135C2×#11924005—21no—
136C2×#11924005—21no—
137C2×#11924005—21no—
138C2×#11924005—21no—
139C2×C4×Dic73—21no—
140C2×C4×Dic73—21no—
141C2×C4×Dic73—21no—
142C2×C4×Dic73—21no—
143C2×C4×Dic73C2311yescharacteristic
144C2×C4×Dic73C2311yescharacteristic
145#14556522C2314yes—
146#14556520C2314yes—
147#14556520C2314yes—
148#14556516C2314yes—
149#14556515C2314yes—
150#14556514C2314yes—
151#14556514C2314yes—
152#14556514C2314yes—
153#14556513C2314yes—
154#14556511C2314yes—
155#14556511C2314yes—
156#14556502C2314yes—
157#14556501C2314yes—
158C8×Dic73C2314yes—
159C22×Q8×C73—21no—
160C22×Q8×C73C2311yescharacteristic
161C22×C8×C73C2311yescharacteristic
162C22×C8×C73C2311yescharacteristic
163C4⋊Q8×C73—22no—
164C4⋊Q8×C73C2314yes—
165C4×Q8×C73—22no—
166C4×Q8×C73C2314yes—
167C2×C4⋊C4×C73—21no—
168C2×C4⋊C4×C73—21no—
169C2×C4⋊C4×C73C2311yescharacteristic
170C2×C4⋊C4×C73C2311yescharacteristic
171C2×C4⋊C4×C73C2311yescharacteristic
172C2×C42×C73—21no—
173C2×C42×C73C2311yescharacteristic
174#106×C73C2314yes—
175#106×C73C2314yes—
176C4⋊C8×C73C2314yes—
177#103×C73C2314yes—
178#103×C73C2314yes—
179C23×D73—21no—
180C2×Dic146—21no—
181C2×Dic146—22no—
182C2×Dic146—24no—
183C2×Dic146—22no—
184C2×Dic146—22no—
185C2×Dic146—21no—
186C2×Dic146—24no—
187C2×Dic146—24no—
188C2×Dic146—82no—
189C2×Dic146—82no—
190C2×Dic146C2×D414yes—
191C2×Dic146#4114yes—
192C2×Dic146C2412yes—
193C2×Dic146C2412yes—
194C2×D292—22no—
195C2×D292—22no—
196C2×D292—21no—
197C2×D292C2412yes—
198C22×Dic73—21no—
199C22×Dic73—21no—
200C22×Dic73—21no—
201C22×Dic73C2×D411yescharacteristic
202C22×Dic73C2×D411yescharacteristic
203C22×Dic73C2×D411yescharacteristic
204C22×Dic73C2×D411yescharacteristic
205C2×C4×D73—24no—
206C2×C4×D73—44no—
207Dic292—28no—
208#11924018—28no—
209#11924017—28no—
210C2×#10596831—22no—
211C2×#10596831—22no—
212C2×#10596831C2412yes—
213C2×#10596831C2412yes—
214C4⋊Dic73—21no—
215C4⋊Dic73C2×D414yes—
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#11924005—24no—
230#11924005—24no—
231#11924005—24no—
232C4×Dic73—24no—
233C4×Dic73—24no—
234C4×Dic73—24no—
235C4×Dic73—24no—
236C4×Dic73C2×D412yes—
237C4×Dic73C2×D412yes—
238C4×Dic73C2412yes—
239C4×Dic73C2412yes—
240C2×Q8×C73—21no—
241C2×Q8×C73—24no—
242C2×Q8×C73—22no—
243C2×Q8×C73—22no—
244C2×Q8×C73—82no—
245C2×Q8×C73C2412yes—
246C22×C4×C73—21no—
247C22×C4×C73—21no—
248C22×C4×C73—21no—
249C22×C4×C73—21no—
250C22×C4×C73C2×D411yescharacteristic
251C22×C4×C73C2×D411yescharacteristic
252C22×C4×C73C2411yescharacteristic
253C2×C8×C73—22no—
254C2×C8×C73—22no—
255C2×C8×C73C2412yes—
256C2×C8×C73C2412yes—
257C4⋊C4×C73—24no—
258C4⋊C4×C73—24no—
259C4⋊C4×C73—21no—
260C4⋊C4×C73—21no—
261C4⋊C4×C73—21no—
262C4⋊C4×C73C2412yes—
263C4⋊C4×C73C2412yes—
264C4⋊C4×C73C2412yes—
265C42×C73—24no—
266C42×C73C2×D412yes—
267C42×C73C2412yes—
268C23×C73C22×D411yescharacteristic
269C22×D73—22no—
270C22×D73—42no—
271C22×D73—42no—
272C22×D73—42no—
273Q8×C73—22no—
274Q8×C73—22no—
275Q8×C73—42no—
276Q8×C73—84no—
277C2×C4×C73—22no—
278C2×C4×C73—22no—
279C2×C4×C73—22no—
280C2×C4×C73—22no—
281C2×C4×C73—22no—
282C2×C4×C73—22no—
283C2×C4×C73—42no—
284C2×C4×C73—42no—
285C2×C4×C73—42no—
286C2×C4×C73—42no—
287C2×C4×C73C22×D412yes—
288C2×C4×C73C22×D412yes—
289C2×C4×C73C22×D411yescharacteristic
290C2×C4×C73C2×#4112yes—
291C2×C4×C732−1+412yes—
292C2×C4×C73C2511yescharacteristic
293C2×Dic73—24no—
294C2×Dic73—22no—
295C2×Dic73—22no—
296C2×Dic73—22no—
297C2×Dic73—22no—
298C2×Dic73—22no—
299C2×Dic73—22no—
300C2×Dic73—42no—
301C2×Dic73—42no—
302C2×Dic73#13714yes—
303C2×Dic73C22×D412yes—
304C2×Dic73C22×D412yes—
305C2×Dic73C22×D412yes—
306C2×Dic73C22×D412yes—
307D292—22no—
308D292—22no—
309D292—42no—
310C4×D73—48no—
311Dic146—24no—
312Dic146—22no—
313Dic146—28no—
314Dic146—22no—
315Dic146—22no—
316Dic146—42no—
317Dic146—84no—
318Dic146—84no—
319Dic146C2×#4114yes—
320C8×C73—22no—
321C8×C73—22no—
322#10596831—22no—
323#10596831—22no—
324C22×C73#54812yes—
325C22×C73C2×#13712yes—
326C22×C73#57712yes—
327C22×C73C23×D411yescharacteristic
328C2×D73—42no—
329C2×D73—42no—
330C2×D73—42no—
331C2×D73—84no—
332C4×C73—22no—
333C4×C73—22no—
334C4×C73—42no—
335C4×C73—42no—
336C4×C73—42no—
337C4×C73—42no—
338C4×C73#54812yes—
339C4×C73C22×#4111yescharacteristic
340C4×C73C2×2−1+411yescharacteristic
341Dic73—24no—
342Dic73—22no—
343Dic73—22no—
344Dic73—22no—
345Dic73—42no—
346Dic73—42no—
347Dic73C2×#13714yes—
348C2×#3369—731nomaximal, Sylow
349C2×C73#336914yescomplemented
350C2×C73C2×#54811yescharacteristic
351C2×C73C22×#13711yescharacteristic
352C2×C73C2×#57711yescharacteristic
353D73—82no—
354C2×Q82—731no—
355C2×#556—731no—
356#3369—7316no—
357C2×#489—731no—
358C2×#489—731no—
359C2×#487—731no—
360C2×#475—731no—
361C2×#475D7311yescharacteristic, complemented
362C2×#476—731no—
363C2×#464—731no—
364C2×#464—731no—
365C2×#462—731no—
366C2×#446—731no—
367C2×#441—731no—
368C2×#441—731no—
369C2×C4×SD16—731no—
370C73C2×#336911yescharacteristic, complemented, Sylow
371C22×Q16—731no—
372C22×Q16—731no—
373C22×SD16—731no—
374Q82—738no—
375Q82—1464no—
376#556—738no—
377#556—1464no—
378C2×C4⋊Q8—731no—
379C2×C4⋊Q8—731no—
380C2×C4⋊Q8—731no—
381C2×C4⋊Q8—1461no—
382C2×C4⋊Q8—1461no—
383C2×C4⋊Q8—1461no—
384C2×C4⋊Q8C2×D7311yescharacteristic
385C2×#126—1461no—
386C2×#126—1461no—
387C2×#124—731no—
388C2×#124—731no—
389C2×C22⋊Q8—1461no—
390C2×C4×Q8—731no—
391C2×C4×Q8—731no—
392C2×C4×Q8—731no—
393C2×C4×Q8—731no—
394C2×C4×Q8—731no—
395C2×C4×Q8—1461no—
396C2×C4×Q8C2×D7311yescharacteristic
397C2×C4×D4—731no—
398C2×#117—1461no—
399#489—738no—
400#489—738no—
401#487—738no—
402#476—738no—
403#475—738no—
404#475C2×D7318yescomplemented
405#464—738no—
406#464—738no—
407#462—738no—
408#446—738no—
409#441—738no—
410#441—738no—
411C4×SD16—738no—
412C2×#106—731no—
413C2×#106C2×D7311yescharacteristic
414C2×#106C2×D7311yescharacteristic
415C2×C4⋊C8—731no—
416C2×C4⋊C8—731no—
417C2×C4⋊C8C2×D7311yescharacteristic
418C2×#103—731no—
419C2×#103—731no—
420C2×#103—731no—
421C2×#103—731no—
422C2×#103—731no—
423C2×#103C2×D7311yescharacteristic
424C2×#103C2×D7311yescharacteristic
425C2×#102—731no—
426C2×#102—731no—
427C2×#102—731no—
428C2×#97—731no—
429C2×#97—731no—
430C2×C4×C8—731no—
431C22×Q8—21no—
432C22×Q8—731no—
433C22×Q8—731no—
434C22×Q8—731no—
435C22×Q8—1461no—
436C22×Q8—1461no—
437C22×Q8C22×D7311yescharacteristic
438C22×D4—731no—
439C23×C4—1461no—
440C2×Q16—734no—
441C2×Q16—734no—
442C2×Q16—1464no—
443C2×Q16—1464no—
444C2×SD16—734no—
445C2×SD16—1464no—
446C22×C8—731no—
447C22×C8—731no—
448C22×C8C22×D7311yescharacteristic
449C22×C8C22×D7311yescharacteristic
450C4⋊Q8—22no—
451C4⋊Q8—734no—
452C4⋊Q8—734no—
453C4⋊Q8—734no—
454C4⋊Q8—1462no—
455C4⋊Q8—1462no—
456C4⋊Q8—1462no—
457C4⋊Q8—1468no—
458C4⋊Q8—1468no—
459C4⋊Q8—1468no—
460C4⋊Q8C22×D7314yes—
461#126—1468no—
462#126—1468no—
463#124—734no—
464#124—734no—
465#124—1462no—
466#124—1462no—
467C22⋊Q8—1468no—
468C4×Q8—22no—
469C4×Q8—734no—
470C4×Q8—734no—
471C4×Q8—734no—
472C4×Q8—734no—
473C4×Q8—734no—
474C4×Q8—734no—
475C4×Q8—1462no—
476C4×Q8—1462no—
477C4×Q8—1462no—
478C4×Q8—1468no—
479C4×Q8—1462no—
480C4×Q8C22×D7314yes—
481C4×D4—734no—
482C4×D4—1462no—
483#117—1468no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—731no—
487C2×C4⋊C4—731no—
488C2×C4⋊C4—731no—
489C2×C4⋊C4—731no—
490C2×C4⋊C4—1461no—
491C2×C4⋊C4—1461no—
492C2×C4⋊C4—1461no—
493C2×C4⋊C4—1461no—
494C2×C4⋊C4—1461no—
495C2×C4⋊C4—1461no—
496C2×C4⋊C4—1461no—
497C2×C4⋊C4—1461no—
498C2×C4⋊C4C22×D7311yescharacteristic
499C2×C4⋊C4C22×D7311yescharacteristic
500C2×C4⋊C4C22×D7311yescharacteristic
501C2×C22⋊C4—1461no—
502C2×C22⋊C4—1461no—
503C2×C22⋊C4—1461no—
504C2×C22⋊C4—1461no—
505C2×C22⋊C4—1461no—
506C2×C42—21no—
507C2×C42—731no—
508C2×C42—731no—
509C2×C42—1461no—
510C2×C42—1461no—
511C2×C42—1461no—
512C2×C42—1461no—
513C2×C42C22×D7311yescharacteristic
514#106—734no—
515#106C22×D7314yes—
516#106C22×D7314yes—
517C4⋊C8—734no—
518C4⋊C8—734no—
519C4⋊C8C22×D7314yes—
520#103—734no—
521#103—734no—
522#103—734no—
523#103—734no—
524#103—734no—
525#103C22×D7314yes—
526#103C22×D7314yes—
527#102—734no—
528#102—734no—
529#102—734no—
530#97—734no—
531#97—734no—
532C4×C8—734no—
533C24—1461no—
534C2×Q8—21no—
535C2×Q8—24no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—82no—
539C2×Q8—5842no—
540C2×Q8—5842no—
541C2×Q8—734no—
542C2×Q8—734no—
543C2×Q8—732no—
544C2×Q8—732no—
545C2×Q8—1464no—
546C2×Q8—1464no—
547C2×Q8—1464no—
548C2×Q8—1462no—
549C2×Q8—1462no—
550C2×Q8—1461no—
551C2×Q8—1461no—
552C2×Q8—1462no—
553C2×Q8C23×D7312yes—
554C2×D4—732no—
555C2×D4—1461no—
556C2×D4—1462no—
557C2×D4—1462no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—2924no—
563C22×C4—731no—
564C22×C4—731no—
565C22×C4—731no—
566C22×C4—731no—
567C22×C4—1464no—
568C22×C4—1461no—
569C22×C4—1461no—
570C22×C4—1461no—
571C22×C4D4×D7311yescharacteristic
572C22×C4D4×D7311yescharacteristic
573C22×C4C23×D7311yescharacteristic
574Q16—1468no—
575Q16—1468no—
576SD16—1468no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—732no—
580C2×C8—732no—
581C2×C8—1462no—
582C2×C8—1462no—
583C2×C8C23×D7312yes—
584C2×C8C23×D7312yes—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—734no—
591C4⋊C4—734no—
592C4⋊C4—734no—
593C4⋊C4—732no—
594C4⋊C4—1464no—
595C4⋊C4—1464no—
596C4⋊C4—1464no—
597C4⋊C4—1464no—
598C4⋊C4—1464no—
599C4⋊C4—1464no—
600C4⋊C4—1464no—
601C4⋊C4—1464no—
602C4⋊C4—1461no—
603C4⋊C4C23×D7312yes—
604C4⋊C4C23×D7312yes—
605C4⋊C4C23×D7312yes—
606C22⋊C4—1464no—
607C22⋊C4—1464no—
608C22⋊C4—1464no—
609C22⋊C4—1464no—
610C22⋊C4—1464no—
611C42—24no—
612C42—732no—
613C42—732no—
614C42—732no—
615C42—732no—
616C42—1464no—
617C42—1464no—
618C42—1464no—
619C42—1464no—
620C42D4×D7312yes—
621C42C23×D7312yes—
622C23—2922no—
623C23—2922no—
624C23—2922no—
625C23—1462no—
626C23C2×D4×D7311yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—42no—
630Q8—84no—
631Q8—2922no—
632Q8—5844no—
633Q8—5844no—
634Q8—734no—
635Q8—1468no—
636Q8—1462no—
637Q8—1462no—
638Q8—1462no—
639Q8—1464no—
640D4—2922no—
641D4—1462no—
642D4—1462no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—2928no—
654C2×C4—2922no—
655C2×C4—2922no—
656C2×C4—734no—
657C2×C4—732no—
658C2×C4—732no—
659C2×C4—732no—
660C2×C4—732no—
661C2×C4—1462no—
662C2×C4—1462no—
663C2×C4—1462no—
664C2×C4—1462no—
665C2×C4—1462no—
666C2×C4—1462no—
667C2×C4—1464no—
668C2×C4C2×D4×D7312yes—
669C2×C4C2×D4×D7312yes—
670C2×C4C2×D4×D7311yescharacteristic
671C2×C4#41×D7312yes—
672C2×C4#1455663912yes—
673C2×C4C24×D7311yescharacteristic
674C8—22no—
675C8—22no—
676C8—1462no—
677C8—1462no—
678C22—2922no—
679C22—2922no—
680C22—2922no—
681C22—5844no—
682C22#1798924712yes—
683C22#137×D7312yes—
684C22#1798939312yes—
685C22C22×D4×D7311yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—2922no—
693C4—2922no—
694C4—734no—
695C4—1462no—
696C4—1464no—
697C4—1462no—
698C4—1462no—
699C4#1798924712yes—
700C4C2×#41×D7311yescharacteristic
701C4C2×#1455663911yescharacteristic
702C2—5842no—
703C2#2262267414yesdirect product factor
704C2C2×#1798924711yescharacteristic
705C2C2×#137×D7311yescharacteristic
706C2C2×#1798939311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#475×C73C2
socleC23×C73C22×D4
prime radicalC22×D292C23
hypercenterC2×#475D73
hypocenterC73C2×#3369
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#475

Complements

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

NH ≅ G/Ntype
1. C2×#17989317C2semidirect
3. #22622674C2direct (N × H)
6. C2×#17988936C2semidirect
7. C2×#17988871C2semidirect
11. C2×#17988796C2semidirect
12. C2×#17988716C2semidirect
13. C2×#17988693C2semidirect
14. C2×#17988692C2semidirect
16. C2×#475×C73C2semidirect
21. #17989317C22semidirect
45. #17988936C22semidirect
47. #17988871C22semidirect
50. #17988796C22semidirect
51. #17988716C22semidirect
52. #17988693C22semidirect
53. #17988692C22semidirect
71. #475×C73C22semidirect
349. C2×C73#3369semidirect
361. C2×#475D73semidirect
370. C73C2×#3369semidirect
404. #475C2×D73semidirect
703. C2#22622674direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179893172
C2×#179893092
#226226742
C2×#179889492
C2×#179889482
C2×#179889362
C2×#179888712
C2×#179888762
C2×#179888122
C2×#179888102
C2×#179887962
C2×#179887162
C2×#179886932
C2×#179886922
C2×#179886742
C2×#475×C732
C2×#336973