Finite Group Databasebeta

← C2×#19147542 #25977126

Subgroups — C2×#19147542 #25977126

Order 11008.

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×#14583627C211yesmaximal, characteristic, complemented
2C2×#14583609C211yesmaximal, characteristic
3#19147542C2116yesmaximal, direct product factor
4C2×#14583308C211yesmaximal, characteristic, complemented
5C2×#14583308C211yesmaximal, characteristic, complemented
6C2×#14583301C211yesmaximal, characteristic, complemented
7C2×#14583207C211yesmaximal, characteristic, complemented
8C2×#14583207C211yesmaximal, characteristic, complemented
9C2×#14583185C211yesmaximal, characteristic, complemented
10C2×#14583200C211yesmaximal, characteristic
11C2×#14583200C211yesmaximal, characteristic
12C2×#14583190C211yesmaximal, characteristic
13C2×#14583001C211yesmaximal, characteristic
14C2×#14583001C211yesmaximal, characteristic
15C2×C4×#10621873C211yesmaximal, characteristic
16C2×C43×#446C211yesmaximal, characteristic, complemented
17C22×#10621873C2211yescharacteristic
18#14583627—24no—
19#14583627C2218yescomplemented
20#14583609—24no—
21#14583609C2218yes—
22C2×#13063325C2211yescharacteristic
23C2×#13063325C2211yescharacteristic
24C2×#13063323—21no—
25C2×#13063317C2211yescharacteristic
26C2×#13063317C2211yescharacteristic
27C2×#13063317C2211yescharacteristic
28C2×#13063317C2211yescharacteristic
29C2×#13063315—21no—
30C2×#13063315—21no—
31C2×#13063303—21no—
32C2×#13063303—21no—
33C2×#13063301—21no—
34C2×C4×Dic86C2211yescharacteristic
35C2×C4×Dic86C2211yescharacteristic
36C2×C4×Dic86C2211yescharacteristic
37C2×#13063290—21no—
38C2×C4×D172C2211yescharacteristic
39C2×C4×D172C2211yescharacteristic
40C2×C4×D172C2211yescharacteristic
41C2×C4⋊C4×D43—21no—
42#14583308C2218yescomplemented
43#14583308C2218yescomplemented
44#14583301C2218yescomplemented
45#14583207C2218yescomplemented
46#14583207C2218yescomplemented
47#14583200C2218yes—
48#14583200C2218yes—
49#14583190C2218yes—
50#14583185C2218yescomplemented
51#14583001C2218yes—
52#14583001C2218yes—
53C4×#10621873C2218yes—
54C2×#13063259C2211yescharacteristic
55C2×#13063259C2211yescharacteristic
56C2×#13063259C2211yescharacteristic
57C2×#13063259C2211yescharacteristic
58C2×#13063257C2211yescharacteristic
59C2×#13063257C2211yescharacteristic
60C2×#13063257C2211yescharacteristic
61C2×#13063257C2211yescharacteristic
62C2×#13063257C2211yescharacteristic
63C2×#13063250C2211yescharacteristic
64C2×#13063250C2211yescharacteristic
65C2×#13063250C2211yescharacteristic
66C2×#13063247C2211yescharacteristic
67C2×#13063247C2211yescharacteristic
68C2×#13063247C2211yescharacteristic
69C2×C4×Q8×C43C2211yescharacteristic
70C43×#446C2218yescomplemented
71C2×C4⋊C8×C43C2211yescharacteristic
72C2×C4⋊C8×C43C2211yescharacteristic
73C2×C4⋊C8×C43C2211yescharacteristic
74C2×#97×C43C2211yescharacteristic
75C2×#97×C43C2211yescharacteristic
76C2×C4×C8×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86—21no—
79C22×Dic86C2311yescharacteristic
80C22×D172C2311yescharacteristic
81C22×C4×D43—21no—
82C22×C4×D43—21no—
83C22×C4×D43—21no—
84C2×#10621873Q818yescomplemented
85C2×#10621873C2314yes—
86#13063325—22no—
87#13063325—22no—
88#13063325C2314yes—
89#13063325C2314yes—
90#13063323—28no—
91#13063317—22no—
92#13063317—22no—
93#13063317—22no—
94#13063317—22no—
95#13063317C2314yes—
96#13063317C2314yes—
97#13063317C2314yes—
98#13063317C2314yes—
99#13063315—28no—
100#13063315—28no—
101#13063303—28no—
102#13063303—28no—
103#13063301—28no—
104C4×Dic86—22no—
105C4×Dic86—22no—
106C4×Dic86—22no—
107C4×Dic86C2314yes—
108C4×Dic86C2314yes—
109C4×Dic86C2314yes—
110#13063290—28no—
111C4×D172—22no—
112C4×D172—22no—
113C4×D172—22no—
114C4×D172C2314yes—
115C4×D172C2314yes—
116C4×D172C2314yes—
117C2×C4⋊Dic43—21no—
118C2×C4⋊Dic43—21no—
119C2×C4⋊Dic43C2311yescharacteristic
120C2×C4⋊Dic43C2311yescharacteristic
121C2×C4⋊Dic43C2311yescharacteristic
122C2×C4⋊Dic43C2311yescharacteristic
123C2×C4⋊Dic43C2311yescharacteristic
124C2×C4⋊Dic43C2311yescharacteristic
125C2×Dic43⋊C4—21no—
126C2×Dic43⋊C4—21no—
127C2×Dic43⋊C4—21no—
128C2×Dic43⋊C4—21no—
129C2×Dic43⋊C4—21no—
130C2×Dic43⋊C4—21no—
131C2×Dic43⋊C4—21no—
132C2×Dic43⋊C4—21no—
133C2×Dic43⋊C4—21no—
134C2×Dic43⋊C4—21no—
135C2×Dic43⋊C4—21no—
136C4⋊C4×D43—28no—
137C2×(C2×D43)⋊C4—21no—
138C2×(C2×D43)⋊C4—21no—
139C2×(C2×D43)⋊C4—21no—
140C2×C4×Dic43—21no—
141C2×C4×Dic43—21no—
142C2×C4×Dic43—21no—
143#13063259C2314yes—
144#13063259C2314yes—
145#13063259C2314yes—
146#13063259C2314yes—
147#13063257C2314yes—
148#13063257C2314yes—
149#13063257C2314yes—
150#13063257C2314yes—
151#13063257C2314yes—
152#13063250C2314yes—
153#13063250C2314yes—
154#13063250C2314yes—
155#13063247C2314yes—
156#13063247C2314yes—
157#13063247C2314yes—
158C22×Q8×C43D411yescharacteristic
159C22×C8×C43C2311yescharacteristic
160C22×C8×C43C2311yescharacteristic
161C22×C8×C43C2311yescharacteristic
162C22×C8×C43C2311yescharacteristic
163C4×Q8×C43D414yes—
164C4×Q8×C43C2314yes—
165C2×C4⋊C4×C43D411yescharacteristic
166C2×C4⋊C4×C43D411yescharacteristic
167C2×C4⋊C4×C43D411yescharacteristic
168C2×C42×C43C2311yescharacteristic
169C2×C42×C43C2311yescharacteristic
170C2×C42×C43C2311yescharacteristic
171C4⋊C8×C43C2314yes—
172C4⋊C8×C43C2314yes—
173C4⋊C8×C43C2314yes—
174#97×C43C2314yes—
175#97×C43C2314yes—
176C4×C8×C43C2314yes—
177C23×D43—21no—
178C2×Q8×C43—42no—
179C2×Q8×C43C2×D414yes—
180C22×C4×C43C2×D411yescharacteristic
181C22×C4×C43C2×D411yescharacteristic
182C22×C4×C43C2×D411yescharacteristic
183C22×C4×C43C2×D411yescharacteristic
184C22×C4×C43C2×D411yescharacteristic
185C22×C4×C43C2×D411yescharacteristic
186C22×C4×C43C2411yescharacteristic
187C22×Dic43—21no—
188C22×Dic43—21no—
189C22×Dic43—21no—
190C22×Dic43—21no—
191C22×Dic43—21no—
192C22×Dic43—21no—
193C22×Dic43—21no—
194C2×D172—21no—
195C2×D172—22no—
196C2×D172C2×Q814yes—
197C2×D172C2412yes—
198C2×C4×D43—24no—
199C2×C4×D43—24no—
200C2×C4×D43—24no—
201C2×C4×D43—44no—
202C2×C4×D43—82no—
203C2×C4×D43—82no—
204C2×Dic86—21no—
205C2×Dic86—22no—
206C2×Dic86—24no—
207C2×Dic86—24no—
208C2×Dic86—44no—
209C2×Dic86—82no—
210C2×Dic86C2×Q814yes—
211C2×Dic86C2412yes—
212C2×C8×C43—22no—
213C2×C8×C43—22no—
214C2×C8×C43—22no—
215C2×C8×C43C2×Q814yes—
216C2×C8×C43C2412yes—
217C2×C8×C43C2412yes—
218C2×C8×C43C2412yes—
219C2×C8×C43C2412yes—
220C4⋊C4×C43C2×D414yes—
221C4⋊C4×C43C2×D414yes—
222C4⋊C4×C43C2×D414yes—
223C42×C43C2×D412yes—
224C42×C43C2×D412yes—
225C42×C43C2×D412yes—
226C42×C43C2412yes—
227C42×C43C2412yes—
228C42×C43C2412yes—
229(C2×D43)⋊C4—24no—
230(C2×D43)⋊C4—24no—
231(C2×D43)⋊C4—24no—
232C4⋊Dic43—24no—
233C4⋊Dic43—24no—
234C4⋊Dic43—21no—
235C4⋊Dic43—21no—
236C4⋊Dic43—21no—
237C4⋊Dic43—21no—
238C4⋊Dic43—21no—
239C4⋊Dic43—21no—
240C4⋊Dic43C2412yes—
241C4⋊Dic43C2412yes—
242C4⋊Dic43C2412yes—
243C4⋊Dic43C2412yes—
244C4⋊Dic43C2412yes—
245C4⋊Dic43C2412yes—
246Dic43⋊C4—24no—
247Dic43⋊C4—24no—
248Dic43⋊C4—24no—
249Dic43⋊C4—24no—
250Dic43⋊C4—24no—
251Dic43⋊C4—24no—
252Dic43⋊C4—24no—
253Dic43⋊C4—24no—
254Dic43⋊C4—24no—
255Dic43⋊C4—24no—
256Dic43⋊C4—24no—
257C4×Dic43—24no—
258C4×Dic43—24no—
259C4×Dic43—24no—
260#10621873C2×Q8116yescomplemented
261C23×C43C22×D411yescharacteristic
262C22×D43—24no—
263C22×D43—22no—
264C22×D43—42no—
265C22×D43—42no—
266Q8×C43—44no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—22no—
273C2×C4×C43C22×D412yes—
274C2×C4×C43C22×D412yes—
275C2×C4×C43C22×D412yes—
276C2×C4×C43C22×D412yes—
277C2×C4×C43C22×D412yes—
278C2×C4×C43C22×D412yes—
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C22×Q812yes—
281C2×C4×C432−1+412yes—
282C2×C4×C43C2511yescharacteristic
283C2×Dic43—24no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—42no—
292C2×Dic43—42no—
293C2×Dic43—42no—
294C2×Dic43—42no—
295C2×Dic43—42no—
296C2×Dic43—42no—
297D172—24no—
298D172—22no—
299D172C22×Q814yes—
300C4×D43—48no—
301C4×D43—84no—
302C4×D43—84no—
303Dic86—24no—
304Dic86—22no—
305Dic86—48no—
306Dic86—84no—
307Dic86C22×Q814yes—
308C8×C43—22no—
309C8×C43—22no—
310C8×C43—22no—
311C8×C43C22×Q814yes—
312C2×#3388—431nomaximal, Sylow
313C22×C43D4×Q812yes—
314C22×C43#57512yes—
315C22×C43#57712yes—
316C22×C43C23×D411yescharacteristic
317C2×D43—24no—
318C2×D43—48no—
319C2×D43—42no—
320C2×D43—42no—
321C4×C43—22no—
322C4×C43—22no—
323C4×C43—22no—
324C4×C43—22no—
325C4×C43—22no—
326C4×C43—22no—
327C4×C43D4×Q812yes—
328C4×C43C23×Q811yescharacteristic
329C4×C43C2×2−1+411yescharacteristic
330Dic43—24no—
331Dic43—42no—
332Dic43—42no—
333Dic43—42no—
334Dic43—42no—
335Dic43—42no—
336Dic43—42no—
337C2×#557—431no—
338C2×#554—431no—
339#3388—4316no—
340C2×#501—431no—
341C2×#501—431no—
342C2×#499—431no—
343C2×#479—431no—
344C2×#479—431no—
345C2×#475—431no—
346C2×#478—431no—
347C2×#478—431no—
348C2×#476—431no—
349C2×#446D4311yescharacteristic, complemented
350C2×#440—431no—
351C2×#440—431no—
352C2×C4×SD16—431no—
353C2×C43#338814yescomplemented
354C2×C43C2×D4×Q811yescharacteristic
355C2×C43C2×#57511yescharacteristic
356C2×C43C2×#57711yescharacteristic
357D43—44no—
358C22×SD16—431no—
359#557—438no—
360#557—864no—
361#554—438no—
362#554—864no—
363C2×C4⋊Q8—431no—
364C2×C4⋊Q8—431no—
365C2×C4⋊Q8—861no—
366C2×#125—431no—
367C2×#125—431no—
368C2×#125—431no—
369C2×#125—431no—
370C2×#125—861no—
371C2×#125—861no—
372C2×C22⋊Q8—861no—
373C2×C22⋊Q8—861no—
374C2×C22⋊Q8—861no—
375C2×C4×Q8—431no—
376C2×C4×Q8—431no—
377C2×C4×Q8—431no—
378C2×C4×Q8—861no—
379C2×C4×Q8C2×D4311yescharacteristic
380C2×C4×D4—431no—
381C2×C4×D4—431no—
382C2×C4×D4—431no—
383C22×C4⋊C4—861no—
384#501—438no—
385#501—438no—
386#499—438no—
387#479—438no—
388#479—438no—
389#478—438no—
390#478—438no—
391#476—438no—
392#475—438no—
393#446C2×D4318yescomplemented
394#440—438no—
395#440—438no—
396C4×SD16—438no—
397C2×#107—431no—
398C2×#107—431no—
399C2×#107—431no—
400C2×#107—431no—
401C2×#106—431no—
402C2×#106—431no—
403C2×#106—431no—
404C2×#106—431no—
405C2×#106—431no—
406C2×C4⋊C8C2×D4311yescharacteristic
407C2×C4⋊C8C2×D4311yescharacteristic
408C2×C4⋊C8C2×D4311yescharacteristic
409C2×#103—431no—
410C2×#103—431no—
411C2×#103—431no—
412C2×#102—431no—
413C2×#102—431no—
414C2×#102—431no—
415C2×#97C2×D4311yescharacteristic
416C2×#97C2×D4311yescharacteristic
417C2×C4×C8C2×D4311yescharacteristic
418C43C2×#338811yescharacteristic, complemented, Sylow
419C22×Q8—431no—
420C22×Q8—861no—
421C22×Q8—861no—
422C22×Q8D17211yescharacteristic
423C22×D4—431no—
424C23×C4—861no—
425C23×C4—861no—
426C23×C4—861no—
427C2×SD16—438no—
428C2×SD16—434no—
429C22×C8C22×D4311yescharacteristic
430C22×C8C22×D4311yescharacteristic
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433C4⋊Q8—434no—
434C4⋊Q8—434no—
435C4⋊Q8—868no—
436C4⋊Q8—862no—
437C4⋊Q8—862no—
438#125—434no—
439#125—434no—
440#125—434no—
441#125—434no—
442#125—868no—
443#125—868no—
444#125—862no—
445#125—862no—
446#125—862no—
447#125—862no—
448C22⋊Q8—868no—
449C22⋊Q8—868no—
450C22⋊Q8—868no—
451C4×Q8—434no—
452C4×Q8—434no—
453C4×Q8—434no—
454C4×Q8—868no—
455C4×Q8—862no—
456C4×Q8—862no—
457C4×Q8—862no—
458C4×Q8D17214yes—
459C4×Q8C22×D4314yes—
460C4×D4—434no—
461C4×D4—434no—
462C4×D4—434no—
463C4×D4—862no—
464C4×D4—862no—
465C4×D4—862no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4—861no—
483C2×C4⋊C4—861no—
484C2×C4⋊C4—861no—
485C2×C4⋊C4—868no—
486C2×C4⋊C4D17211yescharacteristic
487C2×C4⋊C4D17211yescharacteristic
488C2×C4⋊C4D17211yescharacteristic
489C2×C22⋊C4—861no—
490C2×C22⋊C4—861no—
491C2×C22⋊C4—861no—
492C2×C42—861no—
493C2×C42—861no—
494C2×C42—861no—
495C2×C42C22×D4311yescharacteristic
496C2×C42C22×D4311yescharacteristic
497C2×C42C22×D4311yescharacteristic
498#107—434no—
499#107—434no—
500#107—434no—
501#107—434no—
502#106—434no—
503#106—434no—
504#106—434no—
505#106—434no—
506#106—434no—
507C4⋊C8C22×D4314yes—
508C4⋊C8C22×D4314yes—
509C4⋊C8C22×D4314yes—
510#103—434no—
511#103—434no—
512#103—434no—
513#102—434no—
514#102—434no—
515#102—434no—
516#97C22×D4314yes—
517#97C22×D4314yes—
518C4×C8C22×D4314yes—
519C24—861no—
520C2×Q8—42no—
521C2×Q8—434no—
522C2×Q8—432no—
523C2×Q8—861no—
524C2×Q8—864no—
525C2×Q8—864no—
526C2×Q8—862no—
527C2×Q8—3442no—
528C2×Q8—1724no—
529C2×Q8C2×D17214yes—
530C2×D4—434no—
531C2×D4—432no—
532C2×D4—861no—
533C2×D4—862no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—864no—
542C22×C4—864no—
543C22×C4—864no—
544C22×C4—3442no—
545C22×C4—3442no—
546C22×C4—1724no—
547C22×C4C2×D17211yescharacteristic
548C22×C4C2×D17211yescharacteristic
549C22×C4C2×D17211yescharacteristic
550C22×C4C2×D17211yescharacteristic
551C22×C4C2×D17211yescharacteristic
552C22×C4C2×D17211yescharacteristic
553C22×C4C23×D4311yescharacteristic
554SD16—4316no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8Q8×D4314yes—
559C2×C8C23×D4312yes—
560C2×C8C23×D4312yes—
561C2×C8C23×D4312yes—
562C2×C8C23×D4312yes—
563C4⋊C4—432no—
564C4⋊C4—432no—
565C4⋊C4—432no—
566C4⋊C4—432no—
567C4⋊C4—432no—
568C4⋊C4—432no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—864no—
576C4⋊C4—864no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—864no—
580C4⋊C4—864no—
581C4⋊C4—864no—
582C4⋊C4—864no—
583C4⋊C4—864no—
584C4⋊C4—864no—
585C4⋊C4—864no—
586C4⋊C4—864no—
587C4⋊C4—864no—
588C4⋊C4C2×D17214yes—
589C4⋊C4C2×D17214yes—
590C4⋊C4C2×D17214yes—
591C22⋊C4—864no—
592C22⋊C4—864no—
593C22⋊C4—864no—
594C42—864no—
595C42—864no—
596C42—864no—
597C42C2×D17212yes—
598C42C2×D17212yes—
599C42C2×D17212yes—
600C42C23×D4312yes—
601C42C23×D4312yes—
602C42C23×D4312yes—
603C23—864no—
604C23—862no—
605C23—1722no—
606C23—1722no—
607C23C22×D17211yescharacteristic
608Q8—44no—
609Q8—434no—
610Q8—864no—
611Q8—862no—
612Q8—3444no—
613Q8—1728no—
614D4—434no—
615D4—864no—
616D4—862no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—864no—
624C2×C4—862no—
625C2×C4—862no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—3444no—
632C2×C4—3444no—
633C2×C4—1728no—
634C2×C4—1722no—
635C2×C4—1722no—
636C2×C4—1722no—
637C2×C4—1722no—
638C2×C4—1722no—
639C2×C4—1722no—
640C2×C4C22×D17212yes—
641C2×C4C22×D17212yes—
642C2×C4C22×D17212yes—
643C2×C4C22×D17212yes—
644C2×C4C22×D17212yes—
645C2×C4C22×D17212yes—
646C2×C4C22×D17211yescharacteristic
647C2×C4C2×Q8×D4312yes—
648C2×C4#1306337212yes—
649C2×C4C24×D4311yescharacteristic
650C8—22no—
651C8—22no—
652C8—22no—
653C8C2×Q8×D4314yes—
654C22—864no—
655C22—1728no—
656C22—1722no—
657C22—1722no—
658C22Q8×D17212yes—
659C22#1458369912yes—
660C22#1458371112yes—
661C22C23×D17211yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—864no—
669C4—1722no—
670C4—1722no—
671C4—1722no—
672C4—1722no—
673C4—1722no—
674C4—1722no—
675C4Q8×D17212yes—
676C4C22×Q8×D4311yescharacteristic
677C4C2×#1306337211yescharacteristic
678C2—1724no—
679C2#1914754214yesdirect product factor
680C2C2×Q8×D17211yescharacteristic
681C2C2×#1458369911yescharacteristic
682C2C2×#1458371111yescharacteristic
subgroupG/H
centerC23C22×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#446C2
socleC23×C43C22×D4
prime radicalC22×D172C23
hypercenterC2×#446D43
hypocenterC43C2×#3388
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#14583627C2semidirect
3. #19147542C2direct (N × H)
4. C2×#14583308C2semidirect
5. C2×#14583308C2semidirect
6. C2×#14583301C2semidirect
7. C2×#14583207C2semidirect
8. C2×#14583207C2semidirect
9. C2×#14583185C2semidirect
16. C2×C43×#446C2semidirect
19. #14583627C22semidirect
42. #14583308C22semidirect
43. #14583308C22semidirect
44. #14583301C22semidirect
45. #14583207C22semidirect
46. #14583207C22semidirect
50. #14583185C22semidirect
70. C43×#446C22semidirect
84. C2×#10621873Q8semidirect
260. #10621873C2×Q8semidirect
349. C2×#446D43semidirect
353. C2×C43#3388semidirect
393. #446C2×D43semidirect
418. C43C2×#3388semidirect
679. C2#19147542direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836272
C2×#145836092
#191475422
C2×#145833082
C2×#145833012
C2×#145832072
C2×#145831852
C2×#145832002
C2×#145831902
C2×#145830012
C2×C4×#106218732
C2×C43×#4462
C2×#338843