Finite Group Databasebeta

← C2×#22621183 #33958172

Subgroups — C2×#22621183 #33958172

Order 18688.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989214C211yesmaximal, characteristic, complemented
2C2×#17989188C211yesmaximal, characteristic
3#22621183C2116yesmaximal, direct product factor
4C2×#17988994C211yesmaximal, characteristic, complemented
5C2×#17988987C211yesmaximal, characteristic, complemented
6C2×#17988950C211yesmaximal, characteristic, complemented
7C2×#17988932C211yesmaximal, characteristic, complemented
8C2×#17988907C211yesmaximal, characteristic, complemented
9C2×#17988913C211yesmaximal, characteristic, complemented
10C2×#17988910C211yesmaximal, characteristic, complemented
11C2×#17988899C211yesmaximal, characteristic, complemented
12C2×#17988888C211yesmaximal, characteristic, complemented
13C2×#17988887C211yesmaximal, characteristic, complemented
14C2×#17988864C211yesmaximal, characteristic, complemented
15C2×#17988647C211yesmaximal, characteristic, complemented
16C2×#476×C73C211yesmaximal, characteristic, complemented
17#17989214—24no—
18#17989214C2218yescomplemented
19#17989188—24no—
20#17989188C2218yes—
21C2×#14556590C2211yescharacteristic
22C2×#14556589—21no—
23C2×#14556587C2211yescharacteristic
24C2×#14556583C2211yescharacteristic
25C2×#14556582C2211yescharacteristic
26C2×#14556582C2211yescharacteristic
27C2×#14556581—21no—
28C2×#14556574—21no—
29C2×#14556573—21no—
30C2×#14556569—21no—
31C2×#14556567—21no—
32C2×#14556566C2211yescharacteristic
33C2×#14556565—21no—
34C2×#14556564—21no—
35C2×#14556562C2211yescharacteristic
36C2×C4×D292C2211yescharacteristic
37C2×#14556549C2211yescharacteristic
38C2×#14556548C2211yescharacteristic
39C2×C4⋊C4×D73C2211yescharacteristic
40#17988994C2218yescomplemented
41#17988987C2218yescomplemented
42#17988950C2218yescomplemented
43#17988932C2218yescomplemented
44#17988913C2218yescomplemented
45#17988910C2218yescomplemented
46#17988907C2218yescomplemented
47#17988899C2218yescomplemented
48#17988888C2218yescomplemented
49#17988887C2218yescomplemented
50#17988864C2218yescomplemented
51#17988647C2218yescomplemented
52C2×#14556525C2211yescharacteristic
53C2×#14556524C2211yescharacteristic
54C2×#14556524C2211yescharacteristic
55C2×#14556524C2211yescharacteristic
56C2×#14556523C2211yescharacteristic
57C2×#14556522C2211yescharacteristic
58C2×C4⋊#10596831C2211yescharacteristic
59C2×#14556513C2211yescharacteristic
60C2×#14556513C2211yescharacteristic
61C2×#14556512C2211yescharacteristic
62C2×#14556512C2211yescharacteristic
63C2×#14556511C2211yescharacteristic
64C2×#14556511C2211yescharacteristic
65C2×#14556503C2211yescharacteristic
66C2×#14556503C2211yescharacteristic
67C2×#14556501C2211yescharacteristic
68C2×C8×Dic73C2211yescharacteristic
69C2×C4⋊Q8×C73C2211yescharacteristic
70C2×C4×D4×C73C2211yescharacteristic
71#476×C73C2218yescomplemented
72C2×#106×C73C2211yescharacteristic
73C2×#106×C73C2211yescharacteristic
74C2×C4⋊C8×C73C2211yescharacteristic
75C2×#102×C73C2211yescharacteristic
76C2×#102×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×D292—21no—
79C22×D292C2311yescharacteristic
80C22×C22⋊D73—21no—
81C22×C22⋊D73—21no—
82C22×C22⋊D73—21no—
83C22×C4×D73—21no—
84C22×C4×D73—21no—
85C22×C4×D73C2311yescharacteristic
86C22×#10596831C2311yescharacteristic
87C22×#10596831C2311yescharacteristic
88#14556590—22no—
89#14556590C2314yes—
90#14556589—28no—
91#14556587—22no—
92#14556587C2314yes—
93#14556583—22no—
94#14556583C2314yes—
95#14556582—22no—
96#14556582—22no—
97#14556582C2314yes—
98#14556582C2314yes—
99#14556581—28no—
100#14556574—28no—
101#14556573—28no—
102#14556569—28no—
103#14556567—28no—
104#14556566—22no—
105#14556566C2314yes—
106#14556565—28no—
107#14556564—28no—
108#14556562—22no—
109#14556562C2314yes—
110C4×D292—22no—
111C4×D292C2314yes—
112#14556549—22no—
113#14556549C2314yes—
114#14556548D414yes—
115#14556548C2314yes—
116C2×C4⋊Dic73—21no—
117C2×C4⋊Dic73—21no—
118C2×C4⋊Dic73C2311yescharacteristic
119C2×C4⋊Dic73C2311yescharacteristic
120C2×C4⋊Dic73C2311yescharacteristic
121C2×#11924007—21no—
122C2×#11924007—21no—
123C2×#11924007—21no—
124C2×#11924007—21no—
125C2×#11924007—21no—
126C2×#11924007—21no—
127C2×#11924007D411yescharacteristic
128C2×#11924007D411yescharacteristic
129C4⋊C4×D73—22no—
130C4⋊C4×D73C2314yes—
131C2×C22⋊Dic73—21no—
132C2×#11924005—21no—
133C2×#11924005—21no—
134C2×#11924005—21no—
135C2×#11924005D411yescharacteristic
136C2×#11924005D411yescharacteristic
137C2×C4×Dic73—21no—
138C2×C4×Dic73C2311yescharacteristic
139#14556525C2314yes—
140#14556524C2314yes—
141#14556524C2314yes—
142#14556524C2314yes—
143#14556523C2314yes—
144#14556522C2314yes—
145C4⋊#10596831C2314yes—
146#14556513C2314yes—
147#14556513C2314yes—
148#14556512C2314yes—
149#14556512C2314yes—
150#14556511C2314yes—
151#14556511C2314yes—
152#14556503C2314yes—
153#14556503C2314yes—
154#14556501C2314yes—
155C8×Dic73C2314yes—
156C22×Q8×C73—21no—
157C22×D4×C73C2311yescharacteristic
158C23×C4×C73—21no—
159C22×C8×C73C2311yescharacteristic
160C22×C8×C73C2311yescharacteristic
161C4⋊Q8×C73—22no—
162C4⋊Q8×C73C2314yes—
163C4×D4×C73—22no—
164C4×D4×C73C2314yes—
165C2×C4⋊C4×C73—21no—
166C2×C4⋊C4×C73C2311yescharacteristic
167C2×C4⋊C4×C73C2311yescharacteristic
168C2×C4⋊C4×C73C2311yescharacteristic
169C2×C22⋊C4×C73—21no—
170C2×C42×C73C2311yescharacteristic
171#106×C73C2314yes—
172#106×C73C2314yes—
173C4⋊C8×C73C2314yes—
174#102×C73C2314yes—
175#102×C73C2314yes—
176C23×D73—21no—
177C23×D73C2×D411yescharacteristic
178C2×Dic146—24no—
179C2×Dic146—82no—
180C2×D292—22no—
181C2×D292—22no—
182C2×D292—21no—
183C2×D292—24no—
184C2×D292—82no—
185C2×D292C2412yes—
186C2×C22⋊D73—24no—
187C2×C22⋊D73—24no—
188C2×C22⋊D73—24no—
189C2×C22⋊D73—82no—
190C2×C22⋊D73—82no—
191C2×C22⋊D73—82no—
192C22×Dic73—21no—
193C22×Dic73—21no—
194C22×Dic73—21no—
195C22×Dic73C2×D411yescharacteristic
196C22×Dic73C2×D411yescharacteristic
197C22×Dic73C2×D411yescharacteristic
198C2×C4×D73—22no—
199C2×C4×D73—22no—
200C2×C4×D73—24no—
201C2×C4×D73—24no—
202C2×C4×D73—82no—
203C2×C4×D73—82no—
204C2×C4×D73C2×D412yes—
205C2×C4×D73C2412yes—
206C2×#10596831—22no—
207C2×#10596831—22no—
208C2×#10596831C2412yes—
209C2×#10596831C2412yes—
210C4⋊Dic73—21no—
211C4⋊Dic73—21no—
212C4⋊Dic73—21no—
213C4⋊Dic73—24no—
214C4⋊Dic73—24no—
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#11924007C2×D414yes—
225#11924007C2×D414yes—
226C22⋊Dic73—24no—
227#11924005—24no—
228#11924005—24no—
229#11924005—24no—
230#11924005C2×D414yes—
231#11924005C2×D414yes—
232C4×Dic73—24no—
233C4×Dic73C2×D412yes—
234C4×Dic73C2412yes—
235C24×C73—21no—
236C2×Q8×C73—24no—
237C2×Q8×C73—82no—
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×C73—24no—
246C22×C4×C73—82no—
247C22×C4×C73C2×D411yescharacteristic
248C22×C4×C73C2×D411yescharacteristic
249C22×C4×C73C2411yescharacteristic
250C2×C8×C73—22no—
251C2×C8×C73—22no—
252C2×C8×C73C2412yes—
253C2×C8×C73C2412yes—
254C4⋊C4×C73—24no—
255C4⋊C4×C73—21no—
256C4⋊C4×C73—21no—
257C4⋊C4×C73—21no—
258C4⋊C4×C73C2412yes—
259C4⋊C4×C73C2412yes—
260C4⋊C4×C73C2412yes—
261C22⋊C4×C73—24no—
262C42×C73C2×D412yes—
263C42×C73C2412yes—
264C23×C73—22no—
265C23×C73—42no—
266C23×C73—42no—
267C23×C73—42no—
268C23×C73C22×D411yescharacteristic
269C22×D73—22no—
270C22×D73—22no—
271C22×D73—22no—
272C22×D73—22no—
273C22×D73—42no—
274C22×D73—42no—
275C22×D73—42no—
276C22×D73C22×D412yes—
277Q8×C73—84no—
278D4×C73—22no—
279D4×C73—22no—
280D4×C73—42no—
281C2×C4×C73—22no—
282C2×C4×C73—22no—
283C2×C4×C73—22no—
284C2×C4×C73—22no—
285C2×C4×C73—22no—
286C2×C4×C73—42no—
287C2×C4×C73—42no—
288C2×C4×C73—42no—
289C2×C4×C73—84no—
290C2×C4×C73C22×D412yes—
291C2×C4×C73C22×D412yes—
292C2×C4×C73C22×D411yescharacteristic
293C2×C4×C732−1+412yes—
294C2×C4×C732−1+412yes—
295C2×C4×C73C2511yescharacteristic
296C22⋊D73—84no—
297C22⋊D73—84no—
298C22⋊D73—84no—
299C2×Dic73—22no—
300C2×Dic73—22no—
301C2×Dic73—22no—
302C2×Dic73—22no—
303C2×Dic73—22no—
304C2×Dic73—22no—
305C2×Dic73—42no—
306C2×Dic73—42no—
307C2×Dic73—42no—
308C2×Dic73C22×D412yes—
309C2×Dic73C22×D412yes—
310C2×Dic73C22×D412yes—
311D292—22no—
312D292—22no—
313D292—42no—
314D292—84no—
315C4×D73—24no—
316C4×D73—22no—
317C4×D73—22no—
318C4×D73—84no—
319C4×D73—84no—
320Dic146—84no—
321C8×C73—22no—
322C8×C73—22no—
323#10596831—22no—
324#10596831—22no—
325C22×C73—42no—
326C22×C73—42no—
327C22×C73—42no—
328C22×C73—84no—
329C22×C73#53612yes—
330C22×C73#57612yes—
331C22×C73#57712yes—
332C22×C73C23×D411yescharacteristic
333C2×D73—22no—
334C2×D73—22no—
335C2×D73—22no—
336C2×D73—44no—
337C2×D73—42no—
338C2×D73—42no—
339C2×D73—42no—
340C2×D73—84no—
341C4×C73—22no—
342C4×C73—22no—
343C4×C73—42no—
344C4×C73—42no—
345C4×C73—42no—
346C4×C73#53612yes—
347C4×C73C2×2−1+411yescharacteristic
348C4×C73C2×2−1+411yescharacteristic
349Dic73—22no—
350Dic73—22no—
351Dic73—22no—
352Dic73—42no—
353Dic73—42no—
354Dic73—42no—
355C2×#3241—731nomaximal, Sylow
356C2×C73—82no—
357C2×C73#324114yescomplemented
358C2×C73C2×#53611yescharacteristic
359C2×C73C2×#57611yescharacteristic
360C2×C73C2×#57711yescharacteristic
361D73—42no—
362D73—82no—
363C2×#544—731no—
364C2×#540—731no—
365#3241—7316no—
366C2×#501—731no—
367C2×#499—731no—
368C2×#490—731no—
369C2×#486—731no—
370C2×#481—731no—
371C2×#482—731no—
372C2×#482—731no—
373C2×#480—731no—
374C2×#478—731no—
375C2×#478—731no—
376C2×#476D7311yescharacteristic, complemented
377C2×#474—731no—
378C2×#433—731no—
379C73C2×#324111yescharacteristic, complemented, Sylow
380#544—738no—
381#544—1464no—
382#540—738no—
383#540—1464no—
384C2×C4⋊Q8—731no—
385C2×C4⋊Q8—1461no—
386C2×C4⋊Q8C2×D7311yescharacteristic
387C2×#127—731no—
388C2×#125—731no—
389C2×#125—731no—
390C2×#125—731no—
391C2×#125—1461no—
392C2×#123—1461no—
393C2×#123—1461no—
394C2×C22⋊Q8—1461no—
395C2×C22⋊Q8—1461no—
396C2×#121—731no—
397C2×#121—731no—
398C2×#121—1461no—
399C2×#121—1461no—
400C2×C4×D4—731no—
401C2×C4×D4C2×D7311yescharacteristic
402C2×#117—731no—
403C2×#117—731no—
404C22×C4⋊C4—731no—
405#501—738no—
406#499—738no—
407#490—738no—
408#486—738no—
409#482—738no—
410#482—738no—
411#481—738no—
412#480—738no—
413#478—738no—
414#478—738no—
415#476C2×D7318yescomplemented
416#474—738no—
417#433—738no—
418C2×#107—731no—
419C2×#107—731no—
420C2×#107—731no—
421C2×#107—731no—
422C2×#106—731no—
423C2×#106—731no—
424C2×#106C2×D7311yescharacteristic
425C2×#106C2×D7311yescharacteristic
426C2×C4⋊C8—731no—
427C2×C4⋊C8C2×D7311yescharacteristic
428C2×#102—731no—
429C2×#102—731no—
430C2×#102—731no—
431C2×#102—731no—
432C2×#102—731no—
433C2×#102—731no—
434C2×#102C2×D7311yescharacteristic
435C2×#102C2×D7311yescharacteristic
436C2×C22⋊C8—731no—
437C2×C22⋊C8—731no—
438C2×#97—731no—
439C2×C4×C8—731no—
440C22×Q8—21no—
441C22×Q8—1461no—
442C22×D4—731no—
443C22×D4—1461no—
444C22×D4—1461no—
445C22×D4—1461no—
446C22×D4—1461no—
447C22×D4C22×D7311yescharacteristic
448C23×C4—21no—
449C23×C4—731no—
450C23×C4—1461no—
451C23×C4—1461no—
452C22×C8—731no—
453C22×C8—731no—
454C22×C8C22×D7311yescharacteristic
455C22×C8C22×D7311yescharacteristic
456C4⋊Q8—22no—
457C4⋊Q8—734no—
458C4⋊Q8—1462no—
459C4⋊Q8—1468no—
460C4⋊Q8C22×D7314yes—
461#127—734no—
462#127—1462no—
463#125—734no—
464#125—734no—
465#125—734no—
466#125—1462no—
467#125—1462no—
468#125—1468no—
469#125—1462no—
470#123—1468no—
471#123—1468no—
472C22⋊Q8—1468no—
473C22⋊Q8—1468no—
474#121—734no—
475#121—734no—
476#121—1468no—
477#121—1468no—
478#121—1462no—
479#121—1462no—
480C4×D4—22no—
481C4×D4—734no—
482C4×D4—1462no—
483C4×D4C22×D7314yes—
484#117—734no—
485#117—734no—
486#117—734no—
487#117—1462no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4—731no—
490C2×C4⋊C4—731no—
491C2×C4⋊C4—731no—
492C2×C4⋊C4—731no—
493C2×C4⋊C4—731no—
494C2×C4⋊C4—734no—
495C2×C4⋊C4—1462no—
496C2×C4⋊C4—1461no—
497C2×C4⋊C4—1461no—
498C2×C4⋊C4—1461no—
499C2×C4⋊C4—1461no—
500C2×C4⋊C4—1461no—
501C2×C4⋊C4—1461no—
502C2×C4⋊C4—1461no—
503C2×C4⋊C4—1461no—
504C2×C4⋊C4C22×D7311yescharacteristic
505C2×C4⋊C4C22×D7311yescharacteristic
506C2×C4⋊C4C22×D7311yescharacteristic
507C2×C22⋊C4—21no—
508C2×C22⋊C4—731no—
509C2×C22⋊C4—731no—
510C2×C22⋊C4—1461no—
511C2×C22⋊C4—1461no—
512C2×C22⋊C4—1461no—
513C2×C22⋊C4—1461no—
514C2×C42—731no—
515C2×C42—1461no—
516C2×C42C22×D7311yescharacteristic
517#107—734no—
518#107—734no—
519#107—734no—
520#107—734no—
521#106—734no—
522#106—734no—
523#106C22×D7314yes—
524#106C22×D7314yes—
525C4⋊C8—734no—
526C4⋊C8C22×D7314yes—
527#102—734no—
528#102—734no—
529#102—734no—
530#102—734no—
531#102—734no—
532#102—734no—
533#102C22×D7314yes—
534#102C22×D7314yes—
535C22⋊C8—734no—
536C22⋊C8—734no—
537#97—734no—
538C4×C8—734no—
539C24—21no—
540C24—731no—
541C24—1461no—
542C2×Q8—24no—
543C2×Q8—82no—
544C2×Q8—5842no—
545C2×Q8—1464no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—5842no—
550C2×D4—5842no—
551C2×D4—5842no—
552C2×D4—5842no—
553C2×D4—732no—
554C2×D4—1464no—
555C2×D4—1464no—
556C2×D4—1464no—
557C2×D4—1464no—
558C2×D4—1461no—
559C2×D4—1462no—
560C2×D4—1462no—
561C2×D4C23×D7312yes—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—24no—
566C22×C4—82no—
567C22×C4—5842no—
568C22×C4—5842no—
569C22×C4—731no—
570C22×C4—731no—
571C22×C4—731no—
572C22×C4—732no—
573C22×C4—732no—
574C22×C4—1464no—
575C22×C4—1461no—
576C22×C4—1461no—
577C22×C4—1461no—
578C22×C4—1464no—
579C22×C4—1462no—
580C22×C4—1462no—
581C22×C4D4×D7311yescharacteristic
582C22×C4D4×D7311yescharacteristic
583C22×C4C23×D7311yescharacteristic
584C2×C8—22no—
585C2×C8—22no—
586C2×C8—732no—
587C2×C8—732no—
588C2×C8—1462no—
589C2×C8—1462no—
590C2×C8C23×D7312yes—
591C2×C8C23×D7312yes—
592C4⋊C4—24no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—734no—
597C4⋊C4—734no—
598C4⋊C4—732no—
599C4⋊C4—732no—
600C4⋊C4—732no—
601C4⋊C4—1464no—
602C4⋊C4—1464no—
603C4⋊C4—1464no—
604C4⋊C4—1464no—
605C4⋊C4—1464no—
606C4⋊C4—1464no—
607C4⋊C4—1464no—
608C4⋊C4—1464no—
609C4⋊C4—1461no—
610C4⋊C4—1461no—
611C4⋊C4—1461no—
612C4⋊C4C23×D7312yes—
613C4⋊C4C23×D7312yes—
614C4⋊C4C23×D7312yes—
615C22⋊C4—24no—
616C22⋊C4—734no—
617C22⋊C4—734no—
618C22⋊C4—1464no—
619C22⋊C4—1464no—
620C22⋊C4—1464no—
621C22⋊C4—1464no—
622C42—732no—
623C42—732no—
624C42—1464no—
625C42D4×D7312yes—
626C42C23×D7312yes—
627C23—22no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—2922no—
632C23—2922no—
633C23—2922no—
634C23—732no—
635C23—1462no—
636C23—1462no—
637C23—1462no—
638C23—1462no—
639C23C2×D4×D7311yescharacteristic
640Q8—84no—
641Q8—5844no—
642D4—22no—
643D4—22no—
644D4—42no—
645D4—2922no—
646D4—5844no—
647D4—5844no—
648D4—5844no—
649D4—5844no—
650D4—1462no—
651D4—1462no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—84no—
661C2×C4—2922no—
662C2×C4—2922no—
663C2×C4—2922no—
664C2×C4—5844no—
665C2×C4—5844no—
666C2×C4—732no—
667C2×C4—732no—
668C2×C4—732no—
669C2×C4—1462no—
670C2×C4—1462no—
671C2×C4—1462no—
672C2×C4—1462no—
673C2×C4—1462no—
674C2×C4—1462no—
675C2×C4—1464no—
676C2×C4—1462no—
677C2×C4—1462no—
678C2×C4C2×D4×D7312yes—
679C2×C4C2×D4×D7312yes—
680C2×C4C2×D4×D7311yescharacteristic
681C2×C4#1455663812yes—
682C2×C4#1455663912yes—
683C2×C4C24×D7311yescharacteristic
684C8—22no—
685C8—22no—
686C8—1462no—
687C8—1462no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—84no—
692C22—2924no—
693C22—2922no—
694C22—2922no—
695C22—2922no—
696C22—5844no—
697C22—1462no—
698C22—1462no—
699C22—1462no—
700C22#1798916012yes—
701C22#1798939112yes—
702C22#1798939312yes—
703C22C22×D4×D7311yescharacteristic
704C4—22no—
705C4—22no—
706C4—42no—
707C4—42no—
708C4—42no—
709C4—2922no—
710C4—2922no—
711C4—2922no—
712C4—1462no—
713C4—1462no—
714C4—1462no—
715C4#1798916012yes—
716C4C2×#1455663811yescharacteristic
717C4C2×#1455663911yescharacteristic
718C2—82no—
719C2—2922no—
720C2—5842no—
721C2#2262118314yesdirect product factor
722C2C2×#1798916011yescharacteristic
723C2C2×#1798939111yescharacteristic
724C2C2×#1798939311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#476×C73C2
socleC23×C73C22×D4
prime radicalC2×#17989188C2
hypercenterC2×#476D73
hypocenterC73C2×#3241
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#476

Complements

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

NH ≅ G/Ntype
1. C2×#17989214C2semidirect
3. #22621183C2direct (N × H)
4. C2×#17988994C2semidirect
5. C2×#17988987C2semidirect
6. C2×#17988950C2semidirect
7. C2×#17988932C2semidirect
8. C2×#17988907C2semidirect
9. C2×#17988913C2semidirect
10. C2×#17988910C2semidirect
11. C2×#17988899C2semidirect
12. C2×#17988888C2semidirect
13. C2×#17988887C2semidirect
14. C2×#17988864C2semidirect
15. C2×#17988647C2semidirect
16. C2×#476×C73C2semidirect
18. #17989214C22semidirect
40. #17988994C22semidirect
41. #17988987C22semidirect
42. #17988950C22semidirect
43. #17988932C22semidirect
44. #17988913C22semidirect
45. #17988910C22semidirect
46. #17988907C22semidirect
47. #17988899C22semidirect
48. #17988888C22semidirect
49. #17988887C22semidirect
50. #17988864C22semidirect
51. #17988647C22semidirect
71. #476×C73C22semidirect
357. C2×C73#3241semidirect
376. C2×#476D73semidirect
379. C73C2×#3241semidirect
415. #476C2×D73semidirect
721. C2#22621183direct (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×#179891882
#226211832
C2×#179889942
C2×#179889872
C2×#179889502
C2×#179889322
C2×#179889072
C2×#179889132
C2×#179889102
C2×#179888992
C2×#179888882
C2×#179888872
C2×#179888642
C2×#179886472
C2×#476×C732
C2×#324173