Finite Group Databasebeta

← C2×#22624594 #33993533

Subgroups — C2×#22624594 #33993533

Order 18688.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624594C2132yesmaximal, direct product factor
2C2×#17989341C211yesmaximal, characteristic, complemented
3C2×#17989335C211yesmaximal, characteristic, complemented
4C2×#17989333C211yesmaximal, characteristic, complemented
5C2×#17989328C211yesmaximal, characteristic, complemented
6C2×#17989322C211yesmaximal, characteristic, complemented
7C2×#17989304C211yesmaximal, characteristic, complemented
8C2×#17989300C211yesmaximal, characteristic, complemented
9C2×#17989290C211yesmaximal, characteristic, complemented
10C2×#17989290C211yesmaximal, characteristic, complemented
11C2×#17989288C211yesmaximal, characteristic, complemented
12C2×#17989278C211yesmaximal, characteristic, complemented
13C2×#17989269C211yesmaximal, characteristic, complemented
14C2×#17989269C211yesmaximal, characteristic, complemented
15C2×#17989264C211yesmaximal, characteristic, complemented
16C2×#17989262C211yesmaximal, characteristic, complemented
17C2×#17989261C211yesmaximal, characteristic, complemented
18C2×#17989211C211yesmaximal, characteristic, complemented
19C2×#17989211C211yesmaximal, characteristic, complemented
20C2×#17989209C211yesmaximal, characteristic, complemented
21C2×#17989196C211yesmaximal, characteristic, complemented
22C2×#17989193C211yesmaximal, characteristic, complemented
23C2×#17989185C211yesmaximal, characteristic, complemented
24C2×#17989183C211yesmaximal, characteristic, complemented
25C2×#17989178C211yesmaximal, characteristic, complemented
26C2×#17989177C211yesmaximal, characteristic, complemented
27C2×#17989176C211yesmaximal, characteristic, complemented
28C2×#17989176C211yesmaximal, characteristic, complemented
29C2×#17989124C211yesmaximal, characteristic, complemented
30C2×#17989122C211yesmaximal, characteristic, complemented
31C2×#17989120C211yesmaximal, characteristic, complemented
32C2×#541×C73C211yesmaximal, characteristic, complemented
33#17989341C22116yescomplemented
34#17989335C22116yescomplemented
35#17989333C22116yescomplemented
36#17989328C22116yescomplemented
37#17989322C22116yescomplemented
38#17989304C22116yescomplemented
39#17989300C22116yescomplemented
40#17989290C22116yescomplemented
41#17989290C22116yescomplemented
42#17989288C22116yescomplemented
43#17989278C22116yescomplemented
44#17989269C22116yescomplemented
45#17989269C22116yescomplemented
46#17989264C22116yescomplemented
47#17989262C22116yescomplemented
48#17989261C22116yescomplemented
49#17989211C22116yescomplemented
50#17989211C22116yescomplemented
51#17989209C22116yescomplemented
52#17989196C22116yescomplemented
53#17989193C22116yescomplemented
54#17989185C22116yescomplemented
55#17989183C22116yescomplemented
56#17989178C22116yescomplemented
57#17989177C22116yescomplemented
58#17989176C22116yescomplemented
59#17989176C22116yescomplemented
60C2×#14556590C2211yescharacteristic, complemented
61C2×#14556590C2211yescharacteristic, complemented
62C2×#14556588C2211yescharacteristic
63#17989124C22116yescomplemented
64#17989122C22116yescomplemented
65#17989120C22116yescomplemented
66C2×#14556586C2211yescharacteristic
67C2×#14556586C2211yescharacteristic
68C2×#14556586C2211yescharacteristic
69C2×#14556586C2211yescharacteristic
70C2×#14556586C2211yescharacteristic
71C2×#14556586C2211yescharacteristic
72C2×#14556586C2211yescharacteristic
73C2×#14556586C2211yescharacteristic, complemented
74C2×#14556586C2211yescharacteristic, complemented
75C2×#14556586C2211yescharacteristic, complemented
76C2×#14556586C2211yescharacteristic, complemented
77C2×#14556586C2211yescharacteristic, complemented
78C2×#14556585C2211yescharacteristic
79C2×#14556585C2211yescharacteristic
80C2×#14556585C2211yescharacteristic, complemented
81C2×#14556584C2211yescharacteristic
82C2×#14556583C2211yescharacteristic, complemented
83C2×#14556582C2211yescharacteristic, complemented
84C2×#14556581C2211yescharacteristic, complemented
85C2×#14556581C2211yescharacteristic, complemented
86C2×#14556581C2211yescharacteristic, complemented
87C2×#14556581C2211yescharacteristic, complemented
88C2×#14556581C2211yescharacteristic, complemented
89C2×#14556580C2211yescharacteristic
90C2×#14556580C2211yescharacteristic
91C2×#14556580C2211yescharacteristic
92C2×#14556580C2211yescharacteristic, complemented
93C2×#14556579C2211yescharacteristic
94C2×#14556579C2211yescharacteristic
95C2×#14556579C2211yescharacteristic
96C2×#14556579C2211yescharacteristic, complemented
97C2×#14556579C2211yescharacteristic, complemented
98C2×#14556577C2211yescharacteristic
99C2×#14556577C2211yescharacteristic
100C2×#14556577C2211yescharacteristic
101C2×#14556576C2211yescharacteristic
102C2×#14556576C2211yescharacteristic
103C2×#14556576C2211yescharacteristic
104C2×#14556576C2211yescharacteristic
105C2×#14556576C2211yescharacteristic
106C2×#14556576C2211yescharacteristic
107C2×#14556576C2211yescharacteristic
108C2×#14556576C2211yescharacteristic
109C2×#14556576C2211yescharacteristic
110C2×#14556576C2211yescharacteristic
111C2×#14556576C2211yescharacteristic
112C2×#14556576C2211yescharacteristic
113C2×#14556576C2211yescharacteristic
114C2×#14556576C2211yescharacteristic, complemented
115C2×#14556576C2211yescharacteristic, complemented
116C2×#14556576C2211yescharacteristic, complemented
117C2×#14556576C2211yescharacteristic, complemented
118C2×#14556576C2211yescharacteristic, complemented
119C2×#14556576C2211yescharacteristic, complemented
120C2×#14556575C2211yescharacteristic
121C2×#14556574C2211yescharacteristic
122C2×#14556573C2211yescharacteristic
123C2×#14556573C2211yescharacteristic
124C2×#14556573C2211yescharacteristic
125C2×#14556571C2211yescharacteristic
126C2×#14556571C2211yescharacteristic, complemented
127C2×#14556571C2211yescharacteristic, complemented
128C2×#14556569C2211yescharacteristic
129C2×#14556569C2211yescharacteristic
130C2×#14556569C2211yescharacteristic
131C2×#14556569C2211yescharacteristic
132C2×#14556569C2211yescharacteristic, complemented
133C2×#14556569C2211yescharacteristic, complemented
134C2×#14556569C2211yescharacteristic, complemented
135C2×#14556569C2211yescharacteristic, complemented
136C2×#14556568C2211yescharacteristic
137C2×#14556567C2211yescharacteristic
138C2×#14556567C2211yescharacteristic, complemented
139C2×#14556567C2211yescharacteristic, complemented
140C2×#14556567C2211yescharacteristic, complemented
141C2×#14556566C2211yescharacteristic
142C2×#14556566C2211yescharacteristic
143C2×#14556566C2211yescharacteristic
144C2×#14556566C2211yescharacteristic
145C2×#14556566C2211yescharacteristic
146C2×#14556566C2211yescharacteristic
147C2×#14556566C2211yescharacteristic
148C2×#14556566C2211yescharacteristic
149C2×#14556566C2211yescharacteristic
150C2×#14556566C2211yescharacteristic, complemented
151C2×#14556566C2211yescharacteristic, complemented
152C2×#14556566C2211yescharacteristic, complemented
153C2×#14556565C2211yescharacteristic
154C2×#14556564C2211yescharacteristic
155C2×#14556564C2211yescharacteristic
156C2×#14556564C2211yescharacteristic
157C2×#14556564C2211yescharacteristic
158C2×#14556564C2211yescharacteristic
159C2×#14556561C2211yescharacteristic
160C2×#14556561C2211yescharacteristic
161C2×#14556561C2211yescharacteristic
162C2×#14556561C2211yescharacteristic
163C2×C4×Dic146C2211yescharacteristic, complemented
164C2×#14556556C2211yescharacteristic, complemented
165C2×#14556556C2211yescharacteristic, complemented
166C2×#14556556C2211yescharacteristic, complemented
167C2×C4×D292C2211yescharacteristic
168C2×C4×D292C2211yescharacteristic
169C2×C4×D292C2211yescharacteristic
170C2×C4×D292C2211yescharacteristic
171C2×C4×D292C2211yescharacteristic, complemented
172C2×C4×D292C2211yescharacteristic, complemented
173C2×#14556553C2211yescharacteristic
174C2×#14556553C2211yescharacteristic
175C2×#14556553C2211yescharacteristic
176C2×#14556553C2211yescharacteristic
177C2×#14556553C2211yescharacteristic, complemented
178C2×#14556553C2211yescharacteristic, complemented
179C2×#14556553C2211yescharacteristic, complemented
180C2×#14556553C2211yescharacteristic, complemented
181C2×C4×C22⋊D73C2211yescharacteristic
182C2×#14556551C2211yescharacteristic
183C2×#14556551C2211yescharacteristic
184C2×#14556551C2211yescharacteristic
185C2×#14556549C2211yescharacteristic
186C2×#14556549C2211yescharacteristic
187C2×#14556549C2211yescharacteristic, complemented
188C2×#14556549C2211yescharacteristic, complemented
189C2×#14556548C2211yescharacteristic
190C2×#14556548C2211yescharacteristic
191C2×#14556548C2211yescharacteristic, complemented
192C2×#14556548C2211yescharacteristic, complemented
193C2×#14556548C2211yescharacteristic, complemented
194C2×#14556548C2211yescharacteristic, complemented
195C2×#14556547C2211yescharacteristic
196C2×C4⋊C4×D73C2211yescharacteristic, complemented
197C2×C4⋊C4×D73C2211yescharacteristic, complemented
198C2×C4⋊C4×D73C2211yescharacteristic, complemented
199C22×#11924005C2211yescharacteristic
200C2×C22⋊C4×D73C2211yescharacteristic
201C2×C22⋊C4×D73C2211yescharacteristic
202C2×C42×D73C2211yescharacteristic, complemented
203#541×C73C22116yescomplemented
204C2×C4⋊Q8×C73C2211yescharacteristic, complemented
205C2×#126×C73C2211yescharacteristic
206C2×#126×C73C2211yescharacteristic
207C2×#126×C73C2211yescharacteristic
208C2×#126×C73C2211yescharacteristic
209C2×#125×C73C2211yescharacteristic, complemented
210C2×#125×C73C2211yescharacteristic, complemented
211C2×#125×C73C2211yescharacteristic, complemented
212C2×#125×C73C2211yescharacteristic, complemented
213C2×#125×C73C2211yescharacteristic, complemented
214C2×C22⋊Q8×C73C2211yescharacteristic
215C2×C22⋊Q8×C73C2211yescharacteristic
216C2×C4×Q8×C73C2211yescharacteristic, complemented
217C2×C4×Q8×C73C2211yescharacteristic, complemented
218C2×#117×C73C2211yescharacteristic
219C24×D73C2311yescharacteristic
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C22×Dic146C2311yescharacteristic
224C22×D292C2311yescharacteristic
225C22×D292C2311yescharacteristic
226C22×D292C2311yescharacteristic
227C22×D292C2311yescharacteristic
228C22×D292C2311yescharacteristic
229C22×D292C2311yescharacteristic
230C22×D292C2311yescharacteristic
231C22×D292C2311yescharacteristic
232C22×D292C2311yescharacteristic
233C22×D292C2311yescharacteristic
234C22×D292C2311yescharacteristic
235C22×D292C2311yescharacteristic
236C22×D292C2311yescharacteristic
237C22×D292C2311yescharacteristic
238C22×C22⋊D73C2311yescharacteristic
239C22×C22⋊D73C2311yescharacteristic
240C22×C22⋊D73C2311yescharacteristic
241C22×C22⋊D73C2311yescharacteristic
242C23×Dic73C2311yescharacteristic
243C22×C4×D73C2311yescharacteristic
244C22×C4×D73C2311yescharacteristic
245C22×C4×D73C2311yescharacteristic
246C22×C4×D73C2311yescharacteristic
247C22×C4×D73C2311yescharacteristic
248C22×C4×D73C2311yescharacteristic
249C22×C4×D73C2311yescharacteristic
250C22×C4×D73C2311yescharacteristic
251C22×C4×D73C2311yescharacteristic
252C22×C4×D73C2311yescharacteristic
253C22×C4×D73C2311yescharacteristic
254C22×C4×D73C2311yescharacteristic
255C22×C4×D73C2311yescharacteristic
256C22×C4×D73C2311yescharacteristic
257C22×C4×D73C2311yescharacteristic
258C22×C4×D73C2311yescharacteristic
259#14556590C2318yescomplemented
260#14556590C2318yescomplemented
261#14556588C2318yes—
262#14556586C2318yes—
263#14556586C2318yes—
264#14556586C2318yes—
265#14556586C2318yes—
266#14556586C2318yes—
267#14556586C2318yes—
268#14556586C2318yes—
269#14556586C2318yescomplemented
270#14556586C2318yescomplemented
271#14556586C2318yescomplemented
272#14556586C2318yescomplemented
273#14556586C2318yescomplemented
274#14556585C2318yes—
275#14556585C2318yes—
276#14556585C2318yescomplemented
277#14556584C2318yes—
278#14556583C2318yescomplemented
279#14556582C2318yescomplemented
280#14556581C2318yescomplemented
281#14556581C2318yescomplemented
282#14556581C2318yescomplemented
283#14556581C2318yescomplemented
284#14556581C2318yescomplemented
285#14556580C2318yes—
286#14556580C2318yes—
287#14556580C2318yes—
288#14556580C2318yescomplemented
289#14556579C2318yes—
290#14556579C2318yes—
291#14556579C2318yes—
292#14556579C2318yescomplemented
293#14556579C2318yescomplemented
294#14556577C2318yes—
295#14556577C2318yes—
296#14556577C2318yes—
297#14556576C2318yes—
298#14556576C2318yes—
299#14556576C2318yes—
300#14556576C2318yes—
301#14556576C2318yes—
302#14556576C2318yes—
303#14556576C2318yes—
304#14556576C2318yes—
305#14556576C2318yes—
306#14556576C2318yes—
307#14556576C2318yes—
308#14556576C2318yes—
309#14556576C2318yes—
310#14556576C2318yescomplemented
311#14556576C2318yescomplemented
312#14556576C2318yescomplemented
313#14556576C2318yescomplemented
314#14556576C2318yescomplemented
315#14556576C2318yescomplemented
316#14556575C2318yes—
317#14556574C2318yes—
318#14556573C2318yes—
319#14556573C2318yes—
320#14556573C2318yes—
321#14556571C2318yes—
322#14556571C2318yescomplemented
323#14556571C2318yescomplemented
324#14556569C2318yes—
325#14556569C2318yes—
326#14556569C2318yes—
327#14556569C2318yes—
328#14556569C2318yescomplemented
329#14556569C2318yescomplemented
330#14556569C2318yescomplemented
331#14556569C2318yescomplemented
332#14556568C2318yes—
333#14556567C2318yes—
334#14556567C2318yescomplemented
335#14556567C2318yescomplemented
336#14556567C2318yescomplemented
337#14556566C2318yes—
338#14556566C2318yes—
339#14556566C2318yes—
340#14556566C2318yes—
341#14556566C2318yes—
342#14556566C2318yes—
343#14556566C2318yes—
344#14556566C2318yes—
345#14556566C2318yes—
346#14556566C2318yescomplemented
347#14556566C2318yescomplemented
348#14556566C2318yescomplemented
349#14556565C2318yes—
350#14556564C2318yes—
351#14556564C2318yes—
352#14556564C2318yes—
353#14556564C2318yes—
354#14556564C2318yes—
355#14556561C2318yes—
356#14556561C2318yes—
357#14556561C2318yes—
358#14556561C2318yes—
359C4×Dic146C2318yescomplemented
360#14556556C2318yescomplemented
361#14556556C2318yescomplemented
362#14556556C2318yescomplemented
363C4×D292C2318yes—
364C4×D292C2318yes—
365C4×D292C2318yes—
366C4×D292C2318yes—
367C4×D292C2318yescomplemented
368C4×D292C2318yescomplemented
369#14556553C2318yes—
370#14556553C2318yes—
371#14556553C2318yes—
372#14556553C2318yes—
373#14556553C2318yescomplemented
374#14556553C2318yescomplemented
375#14556553C2318yescomplemented
376#14556553C2318yescomplemented
377C4×C22⋊D73C2318yes—
378#14556551C2318yes—
379#14556551C2318yes—
380#14556551C2318yes—
381#14556549C2318yes—
382#14556549C2318yes—
383#14556549C2318yescomplemented
384#14556549C2318yescomplemented
385#14556548C2318yes—
386#14556548C2318yes—
387#14556548C2318yescomplemented
388#14556548C2318yescomplemented
389#14556548C2318yescomplemented
390#14556548C2318yescomplemented
391#14556547C2318yes—
392C2×C4⋊Dic73C2311yescharacteristic
393C2×C4⋊Dic73C2311yescharacteristic
394C2×C4⋊Dic73C2311yescharacteristic
395C2×C4⋊Dic73C2311yescharacteristic
396C2×C4⋊Dic73C2311yescharacteristic
397C2×C4⋊Dic73C2311yescharacteristic
398C2×C4⋊Dic73C2311yescharacteristic
399C2×C4⋊Dic73C2311yescharacteristic
400C2×#11924007C2311yescharacteristic
401C2×#11924007C2311yescharacteristic
402C2×#11924007C2311yescharacteristic
403C2×#11924007C2311yescharacteristic
404C2×#11924007C2311yescharacteristic
405C2×#11924007C2311yescharacteristic
406C2×#11924007C2311yescharacteristic
407C2×#11924007C2311yescharacteristic
408C2×#11924007C2311yescharacteristic
409C2×#11924007C2311yescharacteristic
410C2×#11924007C2311yescharacteristic
411C2×#11924007C2311yescharacteristic
412C2×#11924007C2311yescharacteristic
413C2×#11924007C2311yescharacteristic
414C2×#11924007C2311yescharacteristic
415C2×#11924007C2311yescharacteristic
416C2×#11924007C2311yescharacteristic
417C2×#11924007C2311yescharacteristic
418C2×#11924007C2311yescharacteristic
419C2×#11924007C2311yescharacteristic
420C4⋊C4×D73C2318yescomplemented
421C4⋊C4×D73C2318yescomplemented
422C4⋊C4×D73C2318yescomplemented
423C2×C22⋊Dic73C2311yescharacteristic
424C2×C22⋊Dic73C2311yescharacteristic
425C2×#11924005C2318yes—
426C2×#11924005C2311yescharacteristic
427C2×#11924005C2311yescharacteristic
428C2×#11924005C2311yescharacteristic
429C2×#11924005C2311yescharacteristic
430C2×#11924005C2311yescharacteristic
431C2×#11924005C2311yescharacteristic
432C2×#11924005C2311yescharacteristic
433C2×#11924005C2311yescharacteristic
434C2×#11924005C2311yescharacteristic
435C2×#11924005C2311yescharacteristic
436C2×#11924005C2311yescharacteristic
437C2×#11924005C2311yescharacteristic
438C2×#11924005C2311yescharacteristic
439C2×#11924005C2311yescharacteristic
440C2×#11924005C2311yescharacteristic
441C2×#11924005C2311yescharacteristic
442C2×#11924005C2311yescharacteristic
443C2×#11924005C2311yescharacteristic
444C2×#11924005C2311yescharacteristic
445C2×#11924005C2311yescharacteristic
446C2×#11924005C2311yescharacteristic
447C2×#11924005C2311yescharacteristic
448C2×#11924005C2311yescharacteristic
449C2×#11924005C2311yescharacteristic
450C2×#11924005C2311yescharacteristic
451C2×#11924005C2311yescharacteristic
452C2×#11924005C2311yescharacteristic
453C2×#11924005C2311yescharacteristic
454C2×#11924005C2311yescharacteristic
455C2×#11924005C2311yescharacteristic
456C2×#11924005C2311yescharacteristic
457C2×#11924005C2311yescharacteristic
458C2×#11924005C2311yescharacteristic
459C2×#11924005C2311yescharacteristic
460C2×#11924005C2311yescharacteristic
461C2×#11924005C2311yescharacteristic
462C2×#11924005C2311yescharacteristic
463C2×#11924005C2311yescharacteristic
464C2×#11924005C2311yescharacteristic
465C2×#11924005C2311yescharacteristic
466C22⋊C4×D73C2318yes—
467C22⋊C4×D73C2318yes—
468C2×C4×Dic73C2311yescharacteristic
469C2×C4×Dic73C2311yescharacteristic
470C2×C4×Dic73C2311yescharacteristic
471C2×C4×Dic73C2311yescharacteristic
472C2×C4×Dic73C2311yescharacteristic
473C2×C4×Dic73C2311yescharacteristic
474C2×C4×Dic73C2311yescharacteristic
475C2×C4×Dic73C2311yescharacteristic
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C42×D73C2318yescomplemented
479C22×Q8×C73C2311yescharacteristic
480C22×Q8×C73C2311yescharacteristic
481C23×C4×C73C2311yescharacteristic
482C4⋊Q8×C73C2318yescomplemented
483#126×C73C2318yes—
484#126×C73C2318yes—
485#126×C73C2318yes—
486#126×C73C2318yes—
487#125×C73C2318yescomplemented
488#125×C73C2318yescomplemented
489#125×C73C2318yescomplemented
490#125×C73C2318yescomplemented
491#125×C73C2318yescomplemented
492C22⋊Q8×C73C2318yes—
493C22⋊Q8×C73C2318yes—
494C4×Q8×C73C2318yescomplemented
495C4×Q8×C73C2318yescomplemented
496#117×C73C2318yes—
497C2×C4⋊C4×C73C2311yescharacteristic
498C2×C4⋊C4×C73C2311yescharacteristic
499C2×C4⋊C4×C73C2311yescharacteristic
500C2×C4⋊C4×C73C2311yescharacteristic
501C2×C4⋊C4×C73C2311yescharacteristic
502C2×C4⋊C4×C73C2311yescharacteristic
503C2×C4⋊C4×C73C2311yescharacteristic
504C2×C4⋊C4×C73C2311yescharacteristic
505C2×C4⋊C4×C73C2311yescharacteristic
506C2×C4⋊C4×C73C2311yescharacteristic
507C2×C4⋊C4×C73C2311yescharacteristic
508C2×C4⋊C4×C73C2311yescharacteristic
509C2×C4⋊C4×C73C2311yescharacteristic
510C2×C4⋊C4×C73C2311yescharacteristic
511C2×C4⋊C4×C73C2311yescharacteristic
512C2×C4⋊C4×C73C2311yescharacteristic
513C2×C4⋊C4×C73C2311yescharacteristic
514C2×C4⋊C4×C73C2311yescharacteristic
515C2×C4⋊C4×C73C2311yescharacteristic
516C2×C4⋊C4×C73C2311yescharacteristic
517C2×C22⋊C4×C73C2311yescharacteristic
518C2×C22⋊C4×C73C2311yescharacteristic
519C2×C22⋊C4×C73C2311yescharacteristic
520C2×C22⋊C4×C73C2311yescharacteristic
521C2×C22⋊C4×C73C2311yescharacteristic
522C2×C22⋊C4×C73C2311yescharacteristic
523C2×C42×C73C2311yescharacteristic
524C2×C42×C73C2311yescharacteristic
525C2×C42×C73C2311yescharacteristic
526C2×C42×C73C2311yescharacteristic
527C2×C42×C73C2311yescharacteristic
528C2×C42×C73C2311yescharacteristic
529C23×D73—42no—
530C23×D73—42no—
531C23×D73—42no—
532C23×D73C2411yescharacteristic
533C23×D73C2411yescharacteristic
534C23×D73C2411yescharacteristic
535C23×D73C2411yescharacteristic
536C23×D73C2411yescharacteristic
537C23×D73C2411yescharacteristic
538C23×D73C2414yes—
539C2×Dic146—42no—
540C2×Dic146—42no—
541C2×Dic146—42no—
542C2×Dic146—42no—
543C2×Dic146C2414yes—
544C2×Dic146C2414yes—
545C2×Dic146C2414yes—
546C2×Dic146C2414yes—
547C2×D292—42no—
548C2×D292—42no—
549C2×D292—42no—
550C2×D292—42no—
551C2×D292—42no—
552C2×D292—42no—
553C2×D292—42no—
554C2×D292—42no—
555C2×D292—42no—
556C2×D292—42no—
557C2×D292—42no—
558C2×D292—42no—
559C2×D292—42no—
560C2×D292—42no—
561C2×D292C2414yes—
562C2×D292C2414yes—
563C2×D292C2414yes—
564C2×D292C2414yes—
565C2×D292C2414yes—
566C2×D292C2414yes—
567C2×D292C2414yes—
568C2×D292C2414yes—
569C2×D292C2414yes—
570C2×D292C2414yes—
571C2×D292C2414yes—
572C2×D292C2414yes—
573C2×D292C2414yes—
574C2×D292C2414yes—
575C2×C22⋊D73—42no—
576C2×C22⋊D73—42no—
577C2×C22⋊D73—42no—
578C2×C22⋊D73—42no—
579C2×C22⋊D73C2414yes—
580C2×C22⋊D73C2414yes—
581C2×C22⋊D73C2414yes—
582C2×C22⋊D73C2414yes—
583C22×Dic73—42no—
584C22×Dic73C2411yescharacteristic
585C22×Dic73C2411yescharacteristic
586C22×Dic73C2411yescharacteristic
587C22×Dic73C2411yescharacteristic
588C22×Dic73C2411yescharacteristic
589C22×Dic73C2411yescharacteristic
590C22×Dic73C2411yescharacteristic
591C22×Dic73C2411yescharacteristic
592C22×Dic73C2411yescharacteristic
593C22×Dic73C2411yescharacteristic
594C22×Dic73C2414yes—
595C2×C4×D73—42no—
596C2×C4×D73—42no—
597C2×C4×D73—42no—
598C2×C4×D73—42no—
599C2×C4×D73—42no—
600C2×C4×D73—42no—
601C2×C4×D73—42no—
602C2×C4×D73—42no—
603C2×C4×D73—42no—
604C2×C4×D73—42no—
605C2×C4×D73—42no—
606C2×C4×D73—42no—
607C2×C4×D73—42no—
608C2×C4×D73—42no—
609C2×C4×D73—42no—
610C2×C4×D73—42no—
611C2×C4×D73C2414yes—
612C2×C4×D73C2414yes—
613C2×C4×D73C2414yes—
614C2×C4×D73C2414yes—
615C2×C4×D73C2414yes—
616C2×C4×D73C2414yes—
617C2×C4×D73C2414yes—
618C2×C4×D73C2414yes—
619C2×C4×D73C2414yes—
620C2×C4×D73C2414yes—
621C2×C4×D73C2414yes—
622C2×C4×D73C2414yes—
623C2×C4×D73C2414yes—
624C2×C4×D73C2414yes—
625C2×C4×D73C2414yes—
626C2×C4×D73C2414yes—
627C4⋊Dic73C2414yes—
628C4⋊Dic73C2414yes—
629C4⋊Dic73C2414yes—
630C4⋊Dic73C2414yes—
631C4⋊Dic73C2414yes—
632C4⋊Dic73C2414yes—
633C4⋊Dic73C2414yes—
634C4⋊Dic73C2414yes—
635#11924007C2414yes—
636#11924007C2414yes—
637#11924007C2414yes—
638#11924007C2414yes—
639#11924007C2414yes—
640#11924007C2414yes—
641#11924007C2414yes—
642#11924007C2414yes—
643#11924007C2414yes—
644#11924007C2414yes—
645#11924007C2414yes—
646#11924007C2414yes—
647#11924007C2414yes—
648#11924007C2414yes—
649#11924007C2414yes—
650#11924007C2414yes—
651#11924007C2414yes—
652#11924007C2414yes—
653#11924007C2414yes—
654#11924007C2414yes—
655C22⋊Dic73C2414yes—
656C22⋊Dic73C2414yes—
657#11924005C2414yes—
658#11924005C2414yes—
659#11924005C2414yes—
660#11924005C2414yes—
661#11924005C2414yes—
662#11924005C2414yes—
663#11924005C2414yes—
664#11924005C2414yes—
665#11924005C2414yes—
666#11924005C2414yes—
667#11924005C2414yes—
668#11924005C2414yes—
669#11924005C2414yes—
670#11924005C2414yes—
671#11924005C2414yes—
672#11924005C2414yes—
673#11924005C2414yes—
674#11924005C2414yes—
675#11924005C2414yes—
676#11924005C2414yes—
677#11924005C2414yes—
678#11924005C2414yes—
679#11924005C2414yes—
680#11924005C2414yes—
681#11924005C2414yes—
682#11924005C2414yes—
683#11924005C2414yes—
684#11924005C2414yes—
685#11924005C2414yes—
686#11924005C2414yes—
687#11924005C2414yes—
688#11924005C2414yes—
689#11924005C2414yes—
690#11924005C2414yes—
691#11924005C2414yes—
692#11924005C2414yes—
693#11924005C2414yes—
694#11924005C2414yes—
695#11924005C2414yes—
696#11924005C2414yes—
697C4×Dic73C2414yes—
698C4×Dic73C2414yes—
699C4×Dic73C2414yes—
700C4×Dic73C2414yes—
701C4×Dic73C2414yes—
702C4×Dic73C2414yes—
703C4×Dic73C2414yes—
704C4×Dic73C2414yes—
705C4×Dic73C2414yes—
706C4×Dic73C2414yes—
707C24×C73C2411yescharacteristic
708C2×Q8×C73—42no—
709C2×Q8×C73—42no—
710C2×Q8×C73C2414yes—
711C2×Q8×C73C2414yes—
712C22×C4×C73—42no—
713C22×C4×C73C2411yescharacteristic
714C22×C4×C73C2411yescharacteristic
715C22×C4×C73C2411yescharacteristic
716C22×C4×C73C2411yescharacteristic
717C22×C4×C73C2411yescharacteristic
718C22×C4×C73C2411yescharacteristic
719C22×C4×C73C2411yescharacteristic
720C22×C4×C73C2411yescharacteristic
721C22×C4×C73C2411yescharacteristic
722C22×C4×C73C2411yescharacteristic
723C22×C4×C73C2411yescharacteristic
724C22×C4×C73C2411yescharacteristic
725C22×C4×C73C2411yescharacteristic
726C22×C4×C73C2411yescharacteristic
727C22×C4×C73C2414yes—
728C4⋊C4×C73C2414yes—
729C4⋊C4×C73C2414yes—
730C4⋊C4×C73C2414yes—
731C4⋊C4×C73C2414yes—
732C4⋊C4×C73C2414yes—
733C4⋊C4×C73C2414yes—
734C4⋊C4×C73C2414yes—
735C4⋊C4×C73C2414yes—
736C4⋊C4×C73C2414yes—
737C4⋊C4×C73C2414yes—
738C4⋊C4×C73C2414yes—
739C4⋊C4×C73C2414yes—
740C4⋊C4×C73C2414yes—
741C4⋊C4×C73C2414yes—
742C4⋊C4×C73C2414yes—
743C4⋊C4×C73C2414yes—
744C4⋊C4×C73C2414yes—
745C4⋊C4×C73C2414yes—
746C4⋊C4×C73C2414yes—
747C4⋊C4×C73C2414yes—
748C22⋊C4×C73C2414yes—
749C22⋊C4×C73C2414yes—
750C22⋊C4×C73C2414yes—
751C22⋊C4×C73C2414yes—
752C22⋊C4×C73C2414yes—
753C22⋊C4×C73C2414yes—
754C42×C73C2414yes—
755C42×C73C2414yes—
756C42×C73C2414yes—
757C42×C73C2414yes—
758C42×C73C2414yes—
759C42×C73C2414yes—
760C23×C73—22no—
761C23×C73—22no—
762C23×C73—22no—
763C23×C73C2512yes—
764C23×C73C2511yescharacteristic
765C22×D73—22no—
766C22×D73—22no—
767C22×D73—22no—
768C22×D73—22no—
769C22×D73—22no—
770C22×D73—22no—
771C22×D73—22no—
772C22×D73—22no—
773C22×D73—22no—
774C22×D73—22no—
775C22×D73—22no—
776C22×D73—22no—
777C22×D73—22no—
778C22×D73—22no—
779C22×D73—22no—
780C22×D73—22no—
781C22×D73—22no—
782C22×D73—22no—
783C22×D73—44no—
784C22×D73—44no—
785C22×D73—44no—
786C22×D73—88no—
787C22×D73C2512yes—
788C22×D73C2512yes—
789C22×D73C2512yes—
790C22×D73C2512yes—
791C22×D73C2512yes—
792C22×D73C2512yes—
793Q8×C73—44no—
794Q8×C73—44no—
795C2×C4×C73—22no—
796C2×C4×C73—22no—
797C2×C4×C73—22no—
798C2×C4×C73—22no—
799C2×C4×C73—22no—
800C2×C4×C73—22no—
801C2×C4×C73—22no—
802C2×C4×C73—22no—
803C2×C4×C73—22no—
804C2×C4×C73—22no—
805C2×C4×C73—22no—
806C2×C4×C73—22no—
807C2×C4×C73—22no—
808C2×C4×C73—22no—
809C2×C4×C73—44no—
810C2×C4×C73C2512yes—
811C2×C4×C73C2512yes—
812C2×C4×C73C2512yes—
813C2×C4×C73C2512yes—
814C2×C4×C73C2512yes—
815C2×C4×C73C2512yes—
816C2×C4×C73C2512yes—
817C2×C4×C73C2512yes—
818C2×C4×C73C2512yes—
819C2×C4×C73C2512yes—
820C2×C4×C73C2512yes—
821C2×C4×C73C2512yes—
822C2×C4×C73C2512yes—
823C2×C4×C73C2512yes—
824C22⋊D73—44no—
825C22⋊D73—44no—
826C22⋊D73—44no—
827C22⋊D73—44no—
828C2×Dic73—22no—
829C2×Dic73—22no—
830C2×Dic73—22no—
831C2×Dic73—22no—
832C2×Dic73—22no—
833C2×Dic73—22no—
834C2×Dic73—22no—
835C2×Dic73—22no—
836C2×Dic73—22no—
837C2×Dic73—22no—
838C2×Dic73—44no—
839C2×Dic73C2512yes—
840C2×Dic73C2512yes—
841C2×Dic73C2512yes—
842C2×Dic73C2512yes—
843C2×Dic73C2512yes—
844C2×Dic73C2512yes—
845C2×Dic73C2512yes—
846C2×Dic73C2512yes—
847C2×Dic73C2512yes—
848C2×Dic73C2512yes—
849D292—44no—
850D292—44no—
851D292—44no—
852D292—44no—
853D292—44no—
854D292—44no—
855D292—44no—
856D292—44no—
857D292—44no—
858D292—44no—
859D292—44no—
860D292—44no—
861D292—44no—
862D292—44no—
863C4×D73—44no—
864C4×D73—44no—
865C4×D73—44no—
866C4×D73—44no—
867C4×D73—44no—
868C4×D73—44no—
869C4×D73—44no—
870C4×D73—44no—
871C4×D73—44no—
872C4×D73—44no—
873C4×D73—44no—
874C4×D73—44no—
875C4×D73—44no—
876C4×D73—44no—
877C4×D73—44no—
878C4×D73—44no—
879Dic146—44no—
880Dic146—44no—
881Dic146—44no—
882Dic146—44no—
883C22×C73—22no—
884C22×C73—22no—
885C22×C73—22no—
886C22×C73—44no—
887C22×C73#58512yes—
888C22×C73#58512yes—
889C22×C73#58512yes—
890C22×C73C2611yescharacteristic
891C2×D73—22no—
892C2×D73—22no—
893C2×D73—22no—
894C2×D73—22no—
895C2×D73—22no—
896C2×D73—22no—
897C2×D73—22no—
898C2×D73—22no—
899C2×D73—22no—
900C2×D73—22no—
901C2×D73—22no—
902C2×D73—22no—
903C2×D73—22no—
904C2×D73—22no—
905C2×D73—22no—
906C2×D73—22no—
907C2×D73—22no—
908C2×D73—22no—
909C2×D73—44no—
910C2×D73—44no—
911C2×D73—44no—
912C2×D73—44no—
913C2×D73—44no—
914C2×D73—44no—
915C2×D73—88no—
916C4×C73—22no—
917C4×C73—22no—
918C4×C73—22no—
919C4×C73—22no—
920C4×C73—22no—
921C4×C73—22no—
922C4×C73—22no—
923C4×C73—22no—
924C4×C73—22no—
925C4×C73—22no—
926C4×C73—22no—
927C4×C73—22no—
928C4×C73—22no—
929C4×C73—22no—
930Dic73—22no—
931Dic73—22no—
932Dic73—22no—
933Dic73—22no—
934Dic73—22no—
935Dic73—22no—
936Dic73—22no—
937Dic73—22no—
938Dic73—22no—
939Dic73—22no—
940C2×#3566—731nomaximal, Sylow
941C2×C73—42no—
942C2×C73#356614yescomplemented
943C2×C73C2×#58511yescharacteristic
944C2×C73C2×#58511yescharacteristic
945C2×C73C2×#58511yescharacteristic
946D73—42no—
947D73—42no—
948D73—42no—
949D73—42no—
950D73—42no—
951D73—42no—
952#3566—7332no—
953C2×#563—731no—
954C2×#562—731no—
955C2×#562—731no—
956C2×#560—731no—
957C2×#559—731no—
958C2×#556—731no—
959C2×#555—731no—
960C2×#553—731no—
961C2×#553—731no—
962C2×#553—731no—
963C2×#552—731no—
964C2×#552—731no—
965C2×#552—731no—
966C2×#551—731no—
967C2×#551—731no—
968C2×#551—731no—
969C2×#542—731no—
970C2×#542—731no—
971C2×#542—731no—
972C2×#541—731no—
973C2×#541D7311yescharacteristic, complemented
974C2×#540—731no—
975C2×#539—731no—
976C2×#539—731no—
977C2×#539—731no—
978C2×#538—731no—
979C2×#538—731no—
980C2×#538—731no—
981C2×#529—731no—
982C2×#529—731no—
983C2×#529—731no—
984C73C2×#356611yescharacteristic, complemented, Sylow
985#563—7316no—
986#562—7316no—
987#562—7316no—
988#560—7316no—
989#559—7316no—
990#556—7316no—
991#555—7316no—
992#553—7316no—
993#553—7316no—
994#553—7316no—
995#552—7316no—
996#552—7316no—
997#552—7316no—
998#551—7316no—
999#551—7316no—
1000#551—7316no—
1001#542—7316no—
1002#542—7316no—
1003#542—7316no—
1004#541—7316no—
1005#541C2×D73116yescomplemented
1006#540—7316no—
1007#539—7316no—
1008#539—7316no—
1009#539—7316no—
1010#538—7316no—
1011#538—7316no—
1012#538—7316no—
1013C2×C4⋊Q8—731no—
1014C2×C4⋊Q8—731no—
1015C2×C4⋊Q8C2×D7311yescharacteristic, complemented
1016C2×#127—731no—
1017#529—7316no—
1018#529—7316no—
1019#529—7316no—
1020C2×#126—731no—
1021C2×#126—731no—
1022C2×#126—731no—
1023C2×#126—731no—
1024C2×#126—731no—
1025C2×#126—731no—
1026C2×#126—731no—
1027C2×#126—731no—
1028C2×#126—731no—
1029C2×#126—731no—
1030C2×#126—731no—
1031C2×#126—731no—
1032C2×#126—731no—
1033C2×#126—731no—
1034C2×#126—731no—
1035C2×#126—731no—
1036C2×#126C2×D7311yescharacteristic
1037C2×#126C2×D7311yescharacteristic
1038C2×#126C2×D7311yescharacteristic
1039C2×#126C2×D7311yescharacteristic
1040C2×#125—731no—
1041C2×#125—731no—
1042C2×#125—731no—
1043C2×#125—731no—
1044C2×#125—731no—
1045C2×#125—731no—
1046C2×#125—731no—
1047C2×#125C2×D7311yescharacteristic, complemented
1048C2×#125C2×D7311yescharacteristic, complemented
1049C2×#125C2×D7311yescharacteristic, complemented
1050C2×#125C2×D7311yescharacteristic, complemented
1051C2×#125C2×D7311yescharacteristic, complemented
1052C2×#124—731no—
1053C2×#124—731no—
1054C2×#124—731no—
1055C2×#124—731no—
1056C2×#124—731no—
1057C2×#124—731no—
1058C2×#124—731no—
1059C2×#124—731no—
1060C2×#124—731no—
1061C2×#124—731no—
1062C2×#124—731no—
1063C2×#124—731no—
1064C2×#123—731no—
1065C2×#123—731no—
1066C2×#123—731no—
1067C2×#123—731no—
1068C2×#123—731no—
1069C2×#123—731no—
1070C2×#123—731no—
1071C2×#123—731no—
1072C2×#123—731no—
1073C2×#123—731no—
1074C2×#123—731no—
1075C2×#123—731no—
1076C2×#123—731no—
1077C2×#123—731no—
1078C2×#123—731no—
1079C2×#123—731no—
1080C2×#123—731no—
1081C2×#123—731no—
1082C2×#123—731no—
1083C2×#123—731no—
1084C2×#123—731no—
1085C2×#123—731no—
1086C2×#123—731no—
1087C2×#123—731no—
1088C2×C22⋊Q8—731no—
1089C2×C22⋊Q8—731no—
1090C2×C22⋊Q8—731no—
1091C2×C22⋊Q8—731no—
1092C2×C22⋊Q8—731no—
1093C2×C22⋊Q8—731no—
1094C2×C22⋊Q8—731no—
1095C2×C22⋊Q8—731no—
1096C2×C22⋊Q8—731no—
1097C2×C22⋊Q8—731no—
1098C2×C22⋊Q8—731no—
1099C2×C22⋊Q8—731no—
1100C2×C22⋊Q8—731no—
1101C2×C22⋊Q8—731no—
1102C2×C22⋊Q8—731no—
1103C2×C22⋊Q8—731no—
1104C2×C22⋊Q8C2×D7311yescharacteristic
1105C2×C22⋊Q8C2×D7311yescharacteristic
1106C2×#121—731no—
1107C2×#121—731no—
1108C2×#121—731no—
1109C2×#121—731no—
1110C2×#121—731no—
1111C2×#121—731no—
1112C2×#121—731no—
1113C2×#121—731no—
1114C2×#121—731no—
1115C2×#121—731no—
1116C2×#121—731no—
1117C2×#121—731no—
1118C2×#121—731no—
1119C2×#121—731no—
1120C2×#121—731no—
1121C2×#121—731no—
1122C2×#121—731no—
1123C2×#121—731no—
1124C2×#120—731no—
1125C2×#120—731no—
1126C2×#120—731no—
1127C2×#120—731no—
1128C2×C4×Q8—731no—
1129C2×C4×Q8—731no—
1130C2×C4×Q8—731no—
1131C2×C4×Q8—731no—
1132C2×C4×Q8C2×D7311yescharacteristic, complemented
1133C2×C4×Q8C2×D7311yescharacteristic, complemented
1134C2×C4×D4—731no—
1135C2×C4×D4—731no—
1136C2×C4×D4—731no—
1137C2×C4×D4—731no—
1138C2×C4×D4—731no—
1139C2×C4×D4—731no—
1140C2×C4×D4—731no—
1141C2×C4×D4—731no—
1142C2×C4×D4—731no—
1143C2×C4×D4—731no—
1144C2×C4×D4—731no—
1145C2×C4×D4—731no—
1146C2×C4×D4—731no—
1147C2×C4×D4—731no—
1148C2×C4×D4—731no—
1149C2×C4×D4—731no—
1150C2×C4×D4—731no—
1151C2×C4×D4—731no—
1152C2×#117—731no—
1153C2×#117—731no—
1154C2×#117—731no—
1155C2×#117—731no—
1156C2×#117—731no—
1157C2×#117—731no—
1158C2×#117—731no—
1159C2×#117—731no—
1160C2×#117—731no—
1161C2×#117—731no—
1162C2×#117—731no—
1163C2×#117C2×D7311yescharacteristic
1164C22×C4⋊C4—731no—
1165C22×C4⋊C4—731no—
1166C22×C4⋊C4—731no—
1167C22×C22⋊C4—731no—
1168C22×C22⋊C4—731no—
1169C22×C22⋊C4—731no—
1170C22×C42—731no—
1171C25—731no—
1172C22×Q8—731no—
1173C22×Q8—731no—
1174C22×Q8—731no—
1175C22×Q8—731no—
1176C22×Q8C22×D7311yescharacteristic
1177C22×Q8C22×D7311yescharacteristic
1178C22×D4—731no—
1179C22×D4—731no—
1180C22×D4—731no—
1181C22×D4—731no—
1182C22×D4—731no—
1183C22×D4—731no—
1184C22×D4—731no—
1185C22×D4—731no—
1186C22×D4—731no—
1187C22×D4—731no—
1188C22×D4—731no—
1189C22×D4—731no—
1190C22×D4—731no—
1191C22×D4—731no—
1192C22×D4—731no—
1193C22×D4—731no—
1194C22×D4—731no—
1195C22×D4—731no—
1196C23×C4—731no—
1197C23×C4—731no—
1198C23×C4—731no—
1199C23×C4—731no—
1200C23×C4—731no—
1201C23×C4—731no—
1202C23×C4—731no—
1203C23×C4—731no—
1204C23×C4—731no—
1205C23×C4—731no—
1206C23×C4—731no—
1207C23×C4—731no—
1208C23×C4—731no—
1209C23×C4—731no—
1210C23×C4—731no—
1211C23×C4—731no—
1212C23×C4—731no—
1213C23×C4C22×D7311yescharacteristic
1214C4⋊Q8—738no—
1215C4⋊Q8—738no—
1216C4⋊Q8C22×D7318yescomplemented
1217#127—738no—
1218#126—738no—
1219#126—738no—
1220#126—738no—
1221#126—738no—
1222#126—738no—
1223#126—738no—
1224#126—738no—
1225#126—738no—
1226#126—738no—
1227#126—738no—
1228#126—738no—
1229#126—738no—
1230#126—738no—
1231#126—738no—
1232#126—738no—
1233#126—738no—
1234#126C22×D7318yes—
1235#126C22×D7318yes—
1236#126C22×D7318yes—
1237#126C22×D7318yes—
1238#125—738no—
1239#125—738no—
1240#125—738no—
1241#125—738no—
1242#125—738no—
1243#125—738no—
1244#125—738no—
1245#125C22×D7318yescomplemented
1246#125C22×D7318yescomplemented
1247#125C22×D7318yescomplemented
1248#125C22×D7318yescomplemented
1249#125C22×D7318yescomplemented
1250#124—738no—
1251#124—738no—
1252#124—738no—
1253#124—738no—
1254#124—738no—
1255#124—738no—
1256#124—738no—
1257#124—738no—
1258#124—738no—
1259#124—738no—
1260#124—738no—
1261#124—738no—
1262#123—738no—
1263#123—738no—
1264#123—738no—
1265#123—738no—
1266#123—738no—
1267#123—738no—
1268#123—738no—
1269#123—738no—
1270#123—738no—
1271#123—738no—
1272#123—738no—
1273#123—738no—
1274#123—738no—
1275#123—738no—
1276#123—738no—
1277#123—738no—
1278#123—738no—
1279#123—738no—
1280#123—738no—
1281#123—738no—
1282#123—738no—
1283#123—738no—
1284#123—738no—
1285#123—738no—
1286C22⋊Q8—738no—
1287C22⋊Q8—738no—
1288C22⋊Q8—738no—
1289C22⋊Q8—738no—
1290C22⋊Q8—738no—
1291C22⋊Q8—738no—
1292C22⋊Q8—738no—
1293C22⋊Q8—738no—
1294C22⋊Q8—738no—
1295C22⋊Q8—738no—
1296C22⋊Q8—738no—
1297C22⋊Q8—738no—
1298C22⋊Q8—738no—
1299C22⋊Q8—738no—
1300C22⋊Q8—738no—
1301C22⋊Q8—738no—
1302C22⋊Q8C22×D7318yes—
1303C22⋊Q8C22×D7318yes—
1304#121—738no—
1305#121—738no—
1306#121—738no—
1307#121—738no—
1308#121—738no—
1309#121—738no—
1310#121—738no—
1311#121—738no—
1312#121—738no—
1313#121—738no—
1314#121—738no—
1315#121—738no—
1316#121—738no—
1317#121—738no—
1318#121—738no—
1319#121—738no—
1320#121—738no—
1321#121—738no—
1322#120—738no—
1323#120—738no—
1324#120—738no—
1325#120—738no—
1326C4×Q8—738no—
1327C4×Q8—738no—
1328C4×Q8—738no—
1329C4×Q8—738no—
1330C4×Q8C22×D7318yescomplemented
1331C4×Q8C22×D7318yescomplemented
1332C4×D4—738no—
1333C4×D4—738no—
1334C4×D4—738no—
1335C4×D4—738no—
1336C4×D4—738no—
1337C4×D4—738no—
1338C4×D4—738no—
1339C4×D4—738no—
1340C4×D4—738no—
1341C4×D4—738no—
1342C4×D4—738no—
1343C4×D4—738no—
1344C4×D4—738no—
1345C4×D4—738no—
1346C4×D4—738no—
1347C4×D4—738no—
1348C4×D4—738no—
1349C4×D4—738no—
1350#117—738no—
1351#117—738no—
1352#117—738no—
1353#117—738no—
1354#117—738no—
1355#117—738no—
1356#117—738no—
1357#117—738no—
1358#117—738no—
1359#117—738no—
1360#117—738no—
1361#117C22×D7318yes—
1362C2×C4⋊C4—731no—
1363C2×C4⋊C4—731no—
1364C2×C4⋊C4—731no—
1365C2×C4⋊C4—731no—
1366C2×C4⋊C4—731no—
1367C2×C4⋊C4—731no—
1368C2×C4⋊C4—731no—
1369C2×C4⋊C4—731no—
1370C2×C4⋊C4—731no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—731no—
1375C2×C4⋊C4—731no—
1376C2×C4⋊C4—731no—
1377C2×C4⋊C4—731no—
1378C2×C4⋊C4—731no—
1379C2×C4⋊C4—731no—
1380C2×C4⋊C4—731no—
1381C2×C4⋊C4—731no—
1382C2×C4⋊C4—731no—
1383C2×C4⋊C4—731no—
1384C2×C4⋊C4—731no—
1385C2×C4⋊C4—731no—
1386C2×C4⋊C4—731no—
1387C2×C4⋊C4—731no—
1388C2×C4⋊C4—731no—
1389C2×C4⋊C4—731no—
1390C2×C4⋊C4—738no—
1391C2×C4⋊C4—738no—
1392C2×C4⋊C4—738no—
1393C2×C4⋊C4C22×D7311yescharacteristic
1394C2×C4⋊C4C22×D7311yescharacteristic
1395C2×C4⋊C4C22×D7311yescharacteristic
1396C2×C4⋊C4C22×D7311yescharacteristic
1397C2×C4⋊C4C22×D7311yescharacteristic
1398C2×C4⋊C4C22×D7311yescharacteristic
1399C2×C4⋊C4C22×D7311yescharacteristic
1400C2×C4⋊C4C22×D7311yescharacteristic
1401C2×C4⋊C4C22×D7311yescharacteristic
1402C2×C4⋊C4C22×D7311yescharacteristic
1403C2×C4⋊C4C22×D7311yescharacteristic
1404C2×C4⋊C4C22×D7311yescharacteristic
1405C2×C4⋊C4C22×D7311yescharacteristic
1406C2×C4⋊C4C22×D7311yescharacteristic
1407C2×C4⋊C4C22×D7311yescharacteristic
1408C2×C4⋊C4C22×D7311yescharacteristic
1409C2×C4⋊C4C22×D7311yescharacteristic
1410C2×C4⋊C4C22×D7311yescharacteristic
1411C2×C4⋊C4C22×D7311yescharacteristic
1412C2×C4⋊C4C22×D7311yescharacteristic
1413C2×C22⋊C4—731no—
1414C2×C22⋊C4—731no—
1415C2×C22⋊C4—731no—
1416C2×C22⋊C4—731no—
1417C2×C22⋊C4—731no—
1418C2×C22⋊C4—731no—
1419C2×C22⋊C4—731no—
1420C2×C22⋊C4—731no—
1421C2×C22⋊C4—731no—
1422C2×C22⋊C4—731no—
1423C2×C22⋊C4—738no—
1424C2×C22⋊C4—731no—
1425C2×C22⋊C4—731no—
1426C2×C22⋊C4—731no—
1427C2×C22⋊C4—731no—
1428C2×C22⋊C4—731no—
1429C2×C22⋊C4—731no—
1430C2×C22⋊C4—731no—
1431C2×C22⋊C4—731no—
1432C2×C22⋊C4—731no—
1433C2×C22⋊C4—731no—
1434C2×C22⋊C4—731no—
1435C2×C22⋊C4—731no—
1436C2×C22⋊C4—731no—
1437C2×C22⋊C4—731no—
1438C2×C22⋊C4—731no—
1439C2×C22⋊C4—731no—
1440C2×C22⋊C4—731no—
1441C2×C22⋊C4—731no—
1442C2×C22⋊C4—731no—
1443C2×C22⋊C4—731no—
1444C2×C22⋊C4—731no—
1445C2×C22⋊C4—731no—
1446C2×C22⋊C4—731no—
1447C2×C22⋊C4—731no—
1448C2×C22⋊C4—731no—
1449C2×C22⋊C4—731no—
1450C2×C22⋊C4—731no—
1451C2×C22⋊C4—731no—
1452C2×C22⋊C4—731no—
1453C2×C22⋊C4—731no—
1454C2×C22⋊C4—731no—
1455C2×C22⋊C4—731no—
1456C2×C22⋊C4—738no—
1457C2×C22⋊C4—738no—
1458C2×C22⋊C4C22×D7311yescharacteristic
1459C2×C22⋊C4C22×D7311yescharacteristic
1460C2×C22⋊C4C22×D7311yescharacteristic
1461C2×C22⋊C4C22×D7311yescharacteristic
1462C2×C22⋊C4C22×D7311yescharacteristic
1463C2×C22⋊C4C22×D7311yescharacteristic
1464C2×C42—731no—
1465C2×C42—731no—
1466C2×C42—731no—
1467C2×C42—731no—
1468C2×C42—731no—
1469C2×C42—731no—
1470C2×C42—731no—
1471C2×C42—731no—
1472C2×C42—731no—
1473C2×C42—731no—
1474C2×C42—738no—
1475C2×C42C22×D7311yescharacteristic
1476C2×C42C22×D7311yescharacteristic
1477C2×C42C22×D7311yescharacteristic
1478C2×C42C22×D7311yescharacteristic
1479C2×C42C22×D7311yescharacteristic
1480C2×C42C22×D7311yescharacteristic
1481C24—2922no—
1482C24—2922no—
1483C24—2922no—
1484C24—734no—
1485C24—731no—
1486C24—731no—
1487C24—731no—
1488C24—731no—
1489C24—731no—
1490C24—731no—
1491C24C23×D7311yescharacteristic
1492C2×Q8—42no—
1493C2×Q8—42no—
1494C2×Q8—2922no—
1495C2×Q8—2922no—
1496C2×Q8—2922no—
1497C2×Q8—2922no—
1498C2×Q8—734no—
1499C2×Q8—734no—
1500C2×Q8—734no—
1501C2×Q8—734no—
1502C2×Q8C23×D7314yes—
1503C2×Q8C23×D7314yes—
1504C2×D4—2922no—
1505C2×D4—2922no—
1506C2×D4—2922no—
1507C2×D4—2922no—
1508C2×D4—2922no—
1509C2×D4—2922no—
1510C2×D4—2922no—
1511C2×D4—2922no—
1512C2×D4—2922no—
1513C2×D4—2922no—
1514C2×D4—2922no—
1515C2×D4—2922no—
1516C2×D4—2922no—
1517C2×D4—2922no—
1518C2×D4—2922no—
1519C2×D4—2922no—
1520C2×D4—2922no—
1521C2×D4—2922no—
1522C2×D4—734no—
1523C2×D4—734no—
1524C2×D4—734no—
1525C2×D4—734no—
1526C2×D4—734no—
1527C2×D4—734no—
1528C2×D4—734no—
1529C2×D4—734no—
1530C2×D4—734no—
1531C2×D4—734no—
1532C2×D4—734no—
1533C2×D4—734no—
1534C2×D4—734no—
1535C2×D4—734no—
1536C2×D4—734no—
1537C2×D4—734no—
1538C2×D4—734no—
1539C2×D4—734no—
1540C22×C4—42no—
1541C22×C4—2922no—
1542C22×C4—2922no—
1543C22×C4—2922no—
1544C22×C4—2922no—
1545C22×C4—2922no—
1546C22×C4—2922no—
1547C22×C4—2922no—
1548C22×C4—2922no—
1549C22×C4—2922no—
1550C22×C4—2922no—
1551C22×C4—2922no—
1552C22×C4—2922no—
1553C22×C4—2922no—
1554C22×C4—2922no—
1555C22×C4—2922no—
1556C22×C4—2922no—
1557C22×C4—2922no—
1558C22×C4—734no—
1559C22×C4—734no—
1560C22×C4—734no—
1561C22×C4—734no—
1562C22×C4—734no—
1563C22×C4—734no—
1564C22×C4—734no—
1565C22×C4—734no—
1566C22×C4—734no—
1567C22×C4—734no—
1568C22×C4—734no—
1569C22×C4—734no—
1570C22×C4—734no—
1571C22×C4—734no—
1572C22×C4—734no—
1573C22×C4—734no—
1574C22×C4—734no—
1575C22×C4—731no—
1576C22×C4—731no—
1577C22×C4—731no—
1578C22×C4—731no—
1579C22×C4—731no—
1580C22×C4—731no—
1581C22×C4—731no—
1582C22×C4—731no—
1583C22×C4—731no—
1584C22×C4—731no—
1585C22×C4C23×D7311yescharacteristic
1586C22×C4C23×D7311yescharacteristic
1587C22×C4C23×D7311yescharacteristic
1588C22×C4C23×D7311yescharacteristic
1589C22×C4C23×D7311yescharacteristic
1590C22×C4C23×D7311yescharacteristic
1591C22×C4C23×D7311yescharacteristic
1592C22×C4C23×D7311yescharacteristic
1593C22×C4C23×D7311yescharacteristic
1594C22×C4C23×D7311yescharacteristic
1595C22×C4C23×D7311yescharacteristic
1596C22×C4C23×D7311yescharacteristic
1597C22×C4C23×D7311yescharacteristic
1598C22×C4C23×D7311yescharacteristic
1599C22×C4C23×D7314yes—
1600C4⋊C4—734no—
1601C4⋊C4—734no—
1602C4⋊C4—734no—
1603C4⋊C4—734no—
1604C4⋊C4—734no—
1605C4⋊C4—734no—
1606C4⋊C4—734no—
1607C4⋊C4—734no—
1608C4⋊C4—734no—
1609C4⋊C4—734no—
1610C4⋊C4—734no—
1611C4⋊C4—734no—
1612C4⋊C4—734no—
1613C4⋊C4—734no—
1614C4⋊C4—734no—
1615C4⋊C4—734no—
1616C4⋊C4—734no—
1617C4⋊C4—734no—
1618C4⋊C4—734no—
1619C4⋊C4—734no—
1620C4⋊C4—734no—
1621C4⋊C4—734no—
1622C4⋊C4—734no—
1623C4⋊C4—734no—
1624C4⋊C4—734no—
1625C4⋊C4—734no—
1626C4⋊C4—734no—
1627C4⋊C4—734no—
1628C4⋊C4C23×D7314yes—
1629C4⋊C4C23×D7314yes—
1630C4⋊C4C23×D7314yes—
1631C4⋊C4C23×D7314yes—
1632C4⋊C4C23×D7314yes—
1633C4⋊C4C23×D7314yes—
1634C4⋊C4C23×D7314yes—
1635C4⋊C4C23×D7314yes—
1636C4⋊C4C23×D7314yes—
1637C4⋊C4C23×D7314yes—
1638C4⋊C4C23×D7314yes—
1639C4⋊C4C23×D7314yes—
1640C4⋊C4C23×D7314yes—
1641C4⋊C4C23×D7314yes—
1642C4⋊C4C23×D7314yes—
1643C4⋊C4C23×D7314yes—
1644C4⋊C4C23×D7314yes—
1645C4⋊C4C23×D7314yes—
1646C4⋊C4C23×D7314yes—
1647C4⋊C4C23×D7314yes—
1648C22⋊C4—734no—
1649C22⋊C4—734no—
1650C22⋊C4—734no—
1651C22⋊C4—734no—
1652C22⋊C4—734no—
1653C22⋊C4—734no—
1654C22⋊C4—734no—
1655C22⋊C4—734no—
1656C22⋊C4—734no—
1657C22⋊C4—734no—
1658C22⋊C4—734no—
1659C22⋊C4—734no—
1660C22⋊C4—734no—
1661C22⋊C4—734no—
1662C22⋊C4—734no—
1663C22⋊C4—734no—
1664C22⋊C4—734no—
1665C22⋊C4—734no—
1666C22⋊C4—734no—
1667C22⋊C4—734no—
1668C22⋊C4—734no—
1669C22⋊C4—734no—
1670C22⋊C4—734no—
1671C22⋊C4—734no—
1672C22⋊C4—734no—
1673C22⋊C4—734no—
1674C22⋊C4—734no—
1675C22⋊C4—734no—
1676C22⋊C4—734no—
1677C22⋊C4—734no—
1678C22⋊C4—734no—
1679C22⋊C4—734no—
1680C22⋊C4—734no—
1681C22⋊C4—734no—
1682C22⋊C4—734no—
1683C22⋊C4—734no—
1684C22⋊C4—734no—
1685C22⋊C4—734no—
1686C22⋊C4—734no—
1687C22⋊C4—734no—
1688C22⋊C4—734no—
1689C22⋊C4—734no—
1690C22⋊C4C23×D7314yes—
1691C22⋊C4C23×D7314yes—
1692C22⋊C4C23×D7314yes—
1693C22⋊C4C23×D7314yes—
1694C22⋊C4C23×D7314yes—
1695C22⋊C4C23×D7314yes—
1696C42—734no—
1697C42—734no—
1698C42—734no—
1699C42—734no—
1700C42—734no—
1701C42—734no—
1702C42—734no—
1703C42—734no—
1704C42—734no—
1705C42—734no—
1706C42C23×D7314yes—
1707C42C23×D7314yes—
1708C42C23×D7314yes—
1709C42C23×D7314yes—
1710C42C23×D7314yes—
1711C42C23×D7314yes—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—2924no—
1716C23—2924no—
1717C23—2924no—
1718C23—5848no—
1719C23—732no—
1720C23—732no—
1721C23—732no—
1722C23—732no—
1723C23—732no—
1724C23—732no—
1725C23—1462no—
1726C23—1462no—
1727C23—1462no—
1728C23—1462no—
1729C23—1462no—
1730C23—1462no—
1731C23—1462no—
1732C23—1462no—
1733C23—1462no—
1734C23—1462no—
1735C23—1462no—
1736C23—1462no—
1737C23—1462no—
1738C23—1462no—
1739C23—1462no—
1740C23—1462no—
1741C23—1462no—
1742C23—1462no—
1743C23C24×D7312yes—
1744C23C24×D7311yescharacteristic
1745Q8—44no—
1746Q8—44no—
1747Q8—2924no—
1748Q8—2924no—
1749Q8—2924no—
1750Q8—2924no—
1751D4—2924no—
1752D4—2924no—
1753D4—2924no—
1754D4—2924no—
1755D4—2924no—
1756D4—2924no—
1757D4—2924no—
1758D4—2924no—
1759D4—2924no—
1760D4—2924no—
1761D4—2924no—
1762D4—2924no—
1763D4—2924no—
1764D4—2924no—
1765D4—2924no—
1766D4—2924no—
1767D4—2924no—
1768D4—2924no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—44no—
1784C2×C4—2924no—
1785C2×C4—2924no—
1786C2×C4—2924no—
1787C2×C4—2924no—
1788C2×C4—2924no—
1789C2×C4—2924no—
1790C2×C4—2924no—
1791C2×C4—2924no—
1792C2×C4—2924no—
1793C2×C4—2924no—
1794C2×C4—2924no—
1795C2×C4—2924no—
1796C2×C4—2924no—
1797C2×C4—2924no—
1798C2×C4—2924no—
1799C2×C4—2924no—
1800C2×C4—2924no—
1801C2×C4—732no—
1802C2×C4—732no—
1803C2×C4—732no—
1804C2×C4—732no—
1805C2×C4—732no—
1806C2×C4—732no—
1807C2×C4—732no—
1808C2×C4—732no—
1809C2×C4—732no—
1810C2×C4—732no—
1811C2×C4—1462no—
1812C2×C4—1462no—
1813C2×C4—1462no—
1814C2×C4—1462no—
1815C2×C4—1462no—
1816C2×C4—1462no—
1817C2×C4—1462no—
1818C2×C4—1462no—
1819C2×C4—1462no—
1820C2×C4—1462no—
1821C2×C4C24×D7312yes—
1822C2×C4C24×D7312yes—
1823C2×C4C24×D7312yes—
1824C2×C4C24×D7312yes—
1825C2×C4C24×D7312yes—
1826C2×C4C24×D7312yes—
1827C2×C4C24×D7312yes—
1828C2×C4C24×D7312yes—
1829C2×C4C24×D7312yes—
1830C2×C4C24×D7312yes—
1831C2×C4C24×D7312yes—
1832C2×C4C24×D7312yes—
1833C2×C4C24×D7312yes—
1834C2×C4C24×D7312yes—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—44no—
1839C22—2924no—
1840C22—2924no—
1841C22—2924no—
1842C22—2924no—
1843C22—2924no—
1844C22—2924no—
1845C22—5848no—
1846C22—1462no—
1847C22—1462no—
1848C22—1462no—
1849C22—1462no—
1850C22—1462no—
1851C22—1462no—
1852C22—1462no—
1853C22—1462no—
1854C22—1462no—
1855C22—1462no—
1856C22—1462no—
1857C22—1462no—
1858C22—1462no—
1859C22—1462no—
1860C22—1462no—
1861C22—1462no—
1862C22—1462no—
1863C22—1462no—
1864C22#1798942312yes—
1865C22#1798942412yes—
1866C22#1798942412yes—
1867C22C25×D7311yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—22no—
1880C4—22no—
1881C4—22no—
1882C4—1462no—
1883C4—1462no—
1884C4—1462no—
1885C4—1462no—
1886C4—1462no—
1887C4—1462no—
1888C4—1462no—
1889C4—1462no—
1890C4—1462no—
1891C4—1462no—
1892C2—42no—
1893C2—2922no—
1894C2—2922no—
1895C2—2922no—
1896C2—2922no—
1897C2—2922no—
1898C2—2922no—
1899C2#2262459414yesdirect product factor
1900C2C2×#1798942311yescharacteristic
1901C2C2×#1798942411yescharacteristic
1902C2C2×#1798942411yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#541×C73C2
socleC23×C73C25
hypercenterC2×#541D73
hypocenterC73C2×#3566
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #22624594C2direct (N × H)
2. C2×#17989341C2semidirect
3. C2×#17989335C2semidirect
4. C2×#17989333C2semidirect
5. C2×#17989328C2semidirect
6. C2×#17989322C2semidirect
7. C2×#17989304C2semidirect
8. C2×#17989300C2semidirect
9. C2×#17989290C2semidirect
10. C2×#17989290C2semidirect
11. C2×#17989288C2semidirect
12. C2×#17989278C2semidirect
13. C2×#17989269C2semidirect
14. C2×#17989269C2semidirect
15. C2×#17989264C2semidirect
16. C2×#17989262C2semidirect
17. C2×#17989261C2semidirect
18. C2×#17989211C2semidirect
19. C2×#17989211C2semidirect
20. C2×#17989209C2semidirect
21. C2×#17989196C2semidirect
22. C2×#17989193C2semidirect
23. C2×#17989185C2semidirect
24. C2×#17989183C2semidirect
25. C2×#17989178C2semidirect
26. C2×#17989177C2semidirect
27. C2×#17989176C2semidirect
28. C2×#17989176C2semidirect
29. C2×#17989124C2semidirect
30. C2×#17989122C2semidirect
31. C2×#17989120C2semidirect
32. C2×#541×C73C2semidirect
33. #17989341C22semidirect
34. #17989335C22semidirect
35. #17989333C22semidirect
36. #17989328C22semidirect
37. #17989322C22semidirect
38. #17989304C22semidirect
39. #17989300C22semidirect
40. #17989290C22semidirect
41. #17989290C22semidirect
42. #17989288C22semidirect
43. #17989278C22semidirect
44. #17989269C22semidirect
45. #17989269C22semidirect
46. #17989264C22semidirect
47. #17989262C22semidirect
48. #17989261C22semidirect
49. #17989211C22semidirect
50. #17989211C22semidirect
51. #17989209C22semidirect
52. #17989196C22semidirect
53. #17989193C22semidirect
54. #17989185C22semidirect
55. #17989183C22semidirect
56. #17989178C22semidirect
57. #17989177C22semidirect
58. #17989176C22semidirect
59. #17989176C22semidirect
60. C2×#14556590C22semidirect
61. C2×#14556590C22semidirect
63. #17989124C22semidirect
64. #17989122C22semidirect
65. #17989120C22semidirect
73. C2×#14556586C22semidirect
74. C2×#14556586C22semidirect
75. C2×#14556586C22semidirect
76. C2×#14556586C22semidirect
77. C2×#14556586C22semidirect
80. C2×#14556585C22semidirect
82. C2×#14556583C22semidirect
83. C2×#14556582C22semidirect
84. C2×#14556581C22semidirect
85. C2×#14556581C22semidirect
86. C2×#14556581C22semidirect
87. C2×#14556581C22semidirect
88. C2×#14556581C22semidirect
92. C2×#14556580C22semidirect
96. C2×#14556579C22semidirect
97. C2×#14556579C22semidirect
114. C2×#14556576C22semidirect
115. C2×#14556576C22semidirect
116. C2×#14556576C22semidirect
117. C2×#14556576C22semidirect
118. C2×#14556576C22semidirect
119. C2×#14556576C22semidirect
126. C2×#14556571C22semidirect
127. C2×#14556571C22semidirect
132. C2×#14556569C22semidirect
133. C2×#14556569C22semidirect
134. C2×#14556569C22semidirect
135. C2×#14556569C22semidirect
138. C2×#14556567C22semidirect
139. C2×#14556567C22semidirect
140. C2×#14556567C22semidirect
150. C2×#14556566C22semidirect
151. C2×#14556566C22semidirect
152. C2×#14556566C22semidirect
163. C2×C4×Dic146C22semidirect
164. C2×#14556556C22semidirect
165. C2×#14556556C22semidirect
166. C2×#14556556C22semidirect
171. C2×C4×D292C22semidirect
172. C2×C4×D292C22semidirect
177. C2×#14556553C22semidirect
178. C2×#14556553C22semidirect
179. C2×#14556553C22semidirect
180. C2×#14556553C22semidirect
187. C2×#14556549C22semidirect
188. C2×#14556549C22semidirect
191. C2×#14556548C22semidirect
192. C2×#14556548C22semidirect
193. C2×#14556548C22semidirect
194. C2×#14556548C22semidirect
196. C2×C4⋊C4×D73C22semidirect
197. C2×C4⋊C4×D73C22semidirect
198. C2×C4⋊C4×D73C22semidirect
202. C2×C42×D73C22semidirect
203. #541×C73C22semidirect
204. C2×C4⋊Q8×C73C22semidirect
209. C2×#125×C73C22semidirect
210. C2×#125×C73C22semidirect
211. C2×#125×C73C22semidirect
212. C2×#125×C73C22semidirect
213. C2×#125×C73C22semidirect
216. C2×C4×Q8×C73C22semidirect
217. C2×C4×Q8×C73C22semidirect
259. #14556590C23semidirect
260. #14556590C23semidirect
269. #14556586C23semidirect
270. #14556586C23semidirect
271. #14556586C23semidirect
272. #14556586C23semidirect
273. #14556586C23semidirect
276. #14556585C23semidirect
278. #14556583C23semidirect
279. #14556582C23semidirect
280. #14556581C23semidirect
281. #14556581C23semidirect
282. #14556581C23semidirect
283. #14556581C23semidirect
284. #14556581C23semidirect
288. #14556580C23semidirect
292. #14556579C23semidirect
293. #14556579C23semidirect
310. #14556576C23semidirect
311. #14556576C23semidirect
312. #14556576C23semidirect
313. #14556576C23semidirect
314. #14556576C23semidirect
315. #14556576C23semidirect
322. #14556571C23semidirect
323. #14556571C23semidirect
328. #14556569C23semidirect
329. #14556569C23semidirect
330. #14556569C23semidirect
331. #14556569C23semidirect
334. #14556567C23semidirect
335. #14556567C23semidirect
336. #14556567C23semidirect
346. #14556566C23semidirect
347. #14556566C23semidirect
348. #14556566C23semidirect
359. C4×Dic146C23semidirect
360. #14556556C23semidirect
361. #14556556C23semidirect
362. #14556556C23semidirect
367. C4×D292C23semidirect
368. C4×D292C23semidirect
373. #14556553C23semidirect
374. #14556553C23semidirect
375. #14556553C23semidirect
376. #14556553C23semidirect
383. #14556549C23semidirect
384. #14556549C23semidirect
387. #14556548C23semidirect
388. #14556548C23semidirect
389. #14556548C23semidirect
390. #14556548C23semidirect
420. C4⋊C4×D73C23semidirect
421. C4⋊C4×D73C23semidirect
422. C4⋊C4×D73C23semidirect
478. C42×D73C23semidirect
482. C4⋊Q8×C73C23semidirect
487. #125×C73C23semidirect
488. #125×C73C23semidirect
489. #125×C73C23semidirect
490. #125×C73C23semidirect
491. #125×C73C23semidirect
494. C4×Q8×C73C23semidirect
495. C4×Q8×C73C23semidirect
942. C2×C73#3566semidirect
973. C2×#541D73semidirect
984. C73C2×#3566semidirect
1005. #541C2×D73semidirect
1015. C2×C4⋊Q8C2×D73semidirect
1047. C2×#125C2×D73semidirect
1048. C2×#125C2×D73semidirect
1049. C2×#125C2×D73semidirect
1050. C2×#125C2×D73semidirect
1051. C2×#125C2×D73semidirect
1132. C2×C4×Q8C2×D73semidirect
1133. C2×C4×Q8C2×D73semidirect
1216. C4⋊Q8C22×D73semidirect
1245. #125C22×D73semidirect
1246. #125C22×D73semidirect
1247. #125C22×D73semidirect
1248. #125C22×D73semidirect
1249. #125C22×D73semidirect
1330. C4×Q8C22×D73semidirect
1331. C4×Q8C22×D73semidirect
1899. C2#22624594direct (N × H)

Maximal subgroups

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

subgroupindex
#226245942
C2×#179893412
C2×#179893352
C2×#179893332
C2×#179893282
C2×#179893222
C2×#179893042
C2×#179893002
C2×#179892902
C2×#179892882
C2×#179892782
C2×#179892692
C2×#179892642
C2×#179892622
C2×#179892612
C2×#179892112
C2×#179892092
C2×#179891962
C2×#179891932
C2×#179891852
C2×#179891832
C2×#179891782
C2×#179891772
C2×#179891762
C2×#179891242
C2×#179891222
C2×#179891202
C2×#541×C732
C2×#356673