Finite Group Databasebeta

← C2×#22624611 #33993532

Subgroups — C2×#22624611 #33993532

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#22624611C2132yesmaximal, direct product factor
2C2×#17989339C211yesmaximal, characteristic, complemented
3C2×#17989331C211yesmaximal, characteristic, complemented
4C2×#17989331C211yesmaximal, characteristic, complemented
5C2×#17989325C211yesmaximal, characteristic, complemented
6C2×#17989319C211yesmaximal, characteristic, complemented
7C2×#17989310C211yesmaximal, characteristic, complemented
8C2×#17989300C211yesmaximal, characteristic, complemented
9C2×#17989288C211yesmaximal, characteristic, complemented
10C2×#17989282C211yesmaximal, characteristic, complemented
11C2×#17989280C211yesmaximal, characteristic, complemented
12C2×#17989278C211yesmaximal, characteristic, complemented
13C2×#17989271C211yesmaximal, characteristic, complemented
14C2×#17989270C211yesmaximal, characteristic, complemented
15C2×#17989267C211yesmaximal, characteristic, complemented
16C2×#17989264C211yesmaximal, characteristic, complemented
17C2×#17989260C211yesmaximal, characteristic, complemented
18C2×#17989211C211yesmaximal, characteristic, complemented
19C2×#17989206C211yesmaximal, characteristic, complemented
20C2×#17989198C211yesmaximal, characteristic, complemented
21C2×#17989194C211yesmaximal, characteristic, complemented
22C2×#17989189C211yesmaximal, characteristic, complemented
23C2×#17989186C211yesmaximal, characteristic, complemented
24C2×#17989183C211yesmaximal, characteristic, complemented
25C2×#17989183C211yesmaximal, characteristic, complemented
26C2×#17989176C211yesmaximal, characteristic, complemented
27C2×#17989171C211yesmaximal, characteristic, complemented
28C2×#17989170C211yesmaximal, characteristic, complemented
29C2×#17989123C211yesmaximal, characteristic, complemented
30C2×#17989117C211yesmaximal, characteristic, complemented
31C2×#17989114C211yesmaximal, characteristic, complemented
32C2×#542×C73C211yesmaximal, characteristic, complemented
33#17989339C22116yescomplemented
34#17989331C22116yescomplemented
35#17989331C22116yescomplemented
36#17989325C22116yescomplemented
37#17989319C22116yescomplemented
38#17989310C22116yescomplemented
39#17989300C22116yescomplemented
40#17989288C22116yescomplemented
41#17989282C22116yescomplemented
42#17989280C22116yescomplemented
43#17989278C22116yescomplemented
44#17989271C22116yescomplemented
45#17989270C22116yescomplemented
46#17989267C22116yescomplemented
47#17989264C22116yescomplemented
48#17989260C22116yescomplemented
49#17989211C22116yescomplemented
50#17989206C22116yescomplemented
51#17989198C22116yescomplemented
52#17989194C22116yescomplemented
53#17989189C22116yescomplemented
54#17989186C22116yescomplemented
55#17989183C22116yescomplemented
56#17989183C22116yescomplemented
57#17989176C22116yescomplemented
58#17989171C22116yescomplemented
59#17989170C22116yescomplemented
60C2×#14556591C2211yescharacteristic, complemented
61C2×#14556590C2211yescharacteristic, complemented
62C2×#14556587C2211yescharacteristic
63#17989123C22116yescomplemented
64#17989117C22116yescomplemented
65#17989114C22116yescomplemented
66C2×#14556586C2211yescharacteristic
67C2×#14556586C2211yescharacteristic
68C2×#14556586C2211yescharacteristic
69C2×#14556586C2211yescharacteristic
70C2×#14556586C2211yescharacteristic
71C2×#14556586C2211yescharacteristic
72C2×#14556586C2211yescharacteristic
73C2×#14556586C2211yescharacteristic, complemented
74C2×#14556586C2211yescharacteristic, complemented
75C2×#14556586C2211yescharacteristic, complemented
76C2×#14556585C2211yescharacteristic
77C2×#14556585C2211yescharacteristic
78C2×#14556584C2211yescharacteristic
79C2×#14556584C2211yescharacteristic
80C2×#14556584C2211yescharacteristic
81C2×#14556584C2211yescharacteristic
82C2×#14556584C2211yescharacteristic, complemented
83C2×#14556584C2211yescharacteristic, complemented
84C2×#14556583C2211yescharacteristic, complemented
85C2×#14556583C2211yescharacteristic, complemented
86C2×#14556582C2211yescharacteristic, complemented
87C2×#14556582C2211yescharacteristic, complemented
88C2×#14556581C2211yescharacteristic, complemented
89C2×#14556581C2211yescharacteristic, complemented
90C2×#14556581C2211yescharacteristic, complemented
91C2×#14556581C2211yescharacteristic, complemented
92C2×#14556581C2211yescharacteristic, complemented
93C2×#14556581C2211yescharacteristic, complemented
94C2×#14556581C2211yescharacteristic, complemented
95C2×#14556581C2211yescharacteristic, complemented
96C2×#14556580C2211yescharacteristic
97C2×#14556580C2211yescharacteristic
98C2×#14556579C2211yescharacteristic
99C2×#14556579C2211yescharacteristic
100C2×#14556579C2211yescharacteristic, complemented
101C2×#14556577C2211yescharacteristic
102C2×#14556577C2211yescharacteristic
103C2×#14556577C2211yescharacteristic
104C2×#14556577C2211yescharacteristic, complemented
105C2×#14556576C2211yescharacteristic
106C2×#14556576C2211yescharacteristic
107C2×#14556576C2211yescharacteristic
108C2×#14556576C2211yescharacteristic
109C2×#14556576C2211yescharacteristic
110C2×#14556575C2211yescharacteristic
111C2×#14556575C2211yescharacteristic
112C2×#14556575C2211yescharacteristic
113C2×#14556575C2211yescharacteristic
114C2×#14556575C2211yescharacteristic, complemented
115C2×#14556575C2211yescharacteristic, complemented
116C2×#14556575C2211yescharacteristic, complemented
117C2×#14556574C2211yescharacteristic
118C2×#14556574C2211yescharacteristic
119C2×#14556573C2211yescharacteristic
120C2×#14556573C2211yescharacteristic
121C2×#14556573C2211yescharacteristic
122C2×#14556573C2211yescharacteristic
123C2×#14556573C2211yescharacteristic
124C2×#14556573C2211yescharacteristic, complemented
125C2×#14556573C2211yescharacteristic, complemented
126C2×#14556572C2211yescharacteristic
127C2×#14556571C2211yescharacteristic
128C2×#14556569C2211yescharacteristic
129C2×#14556568C2211yescharacteristic
130C2×#14556568C2211yescharacteristic
131C2×#14556568C2211yescharacteristic, complemented
132C2×#14556568C2211yescharacteristic, complemented
133C2×#14556568C2211yescharacteristic, complemented
134C2×#14556567C2211yescharacteristic
135C2×#14556567C2211yescharacteristic
136C2×#14556567C2211yescharacteristic
137C2×#14556567C2211yescharacteristic
138C2×#14556567C2211yescharacteristic, complemented
139C2×#14556567C2211yescharacteristic, complemented
140C2×#14556567C2211yescharacteristic, complemented
141C2×#14556567C2211yescharacteristic, complemented
142C2×#14556566C2211yescharacteristic
143C2×#14556566C2211yescharacteristic
144C2×#14556565C2211yescharacteristic
145C2×#14556565C2211yescharacteristic
146C2×#14556564C2211yescharacteristic
147C2×#14556564C2211yescharacteristic
148C2×#14556564C2211yescharacteristic
149C2×#14556564C2211yescharacteristic
150C2×#14556564C2211yescharacteristic
151C2×#14556564C2211yescharacteristic, complemented
152C2×#14556564C2211yescharacteristic, complemented
153C2×#14556563C2211yescharacteristic
154C2×#14556563C2211yescharacteristic
155C2×#14556563C2211yescharacteristic
156C2×#14556563C2211yescharacteristic
157C2×#14556563C2211yescharacteristic, complemented
158C2×#14556562C2211yescharacteristic
159C2×#14556561C2211yescharacteristic
160C2×#14556561C2211yescharacteristic
161C2×#14556559C2211yescharacteristic
162C2×#14556559C2211yescharacteristic
163C2×Q8×Dic73C2211yescharacteristic, complemented
164C2×Q8×Dic73C2211yescharacteristic, complemented
165C2×C4×Dic146C2211yescharacteristic, complemented
166C2×C4×Dic146C2211yescharacteristic, complemented
167C2×#14556556C2211yescharacteristic, complemented
168C2×C4×D292C2211yescharacteristic
169C2×C4×D292C2211yescharacteristic
170C2×D4×Dic73C2211yescharacteristic
171C2×D4×Dic73C2211yescharacteristic, complemented
172C2×#14556553C2211yescharacteristic
173C2×#14556553C2211yescharacteristic
174C2×#14556553C2211yescharacteristic, complemented
175C2×C4×C22⋊D73C2211yescharacteristic
176C2×C4×C22⋊D73C2211yescharacteristic
177C2×C4×C22⋊D73C2211yescharacteristic, complemented
178C2×C4×C22⋊D73C2211yescharacteristic, complemented
179C2×#14556551C2211yescharacteristic
180C2×#14556551C2211yescharacteristic
181C2×#14556551C2211yescharacteristic
182C2×#14556551C2211yescharacteristic
183C2×#14556551C2211yescharacteristic, complemented
184C2×#14556551C2211yescharacteristic, complemented
185C2×#14556550C2211yescharacteristic
186C2×#14556549C2211yescharacteristic
187C2×#14556549C2211yescharacteristic
188C2×#14556549C2211yescharacteristic, complemented
189C2×#14556549C2211yescharacteristic, complemented
190C2×#14556548C2211yescharacteristic
191C2×#14556548C2211yescharacteristic
192C2×#14556548C2211yescharacteristic, complemented
193C2×#14556548C2211yescharacteristic, complemented
194C2×#14556547C2211yescharacteristic
195C2×#14556547C2211yescharacteristic, complemented
196C22×#11924007C2211yescharacteristic, complemented
197C2×C4⋊C4×D73C2211yescharacteristic, complemented
198C2×C4⋊C4×D73C2211yescharacteristic, complemented
199C22×#11924005C2211yescharacteristic
200C2×C22⋊C4×D73C2211yescharacteristic
201C2×C22⋊C4×D73C2211yescharacteristic
202C22×C4×Dic73C2211yescharacteristic, complemented
203#542×C73C22116yescomplemented
204C2×C4⋊Q8×C73C2211yescharacteristic, complemented
205C2×#126×C73C2211yescharacteristic
206C2×#126×C73C2211yescharacteristic, complemented
207C2×#124×C73C2211yescharacteristic
208C2×#124×C73C2211yescharacteristic
209C2×#124×C73C2211yescharacteristic, complemented
210C2×#123×C73C2211yescharacteristic
211C2×#123×C73C2211yescharacteristic, complemented
212C2×C22⋊Q8×C73C2211yescharacteristic
213C2×C22⋊Q8×C73C2211yescharacteristic, complemented
214C2×C22⋊Q8×C73C2211yescharacteristic, complemented
215C2×#121×C73C2211yescharacteristic
216C2×C4×Q8×C73C2211yescharacteristic, complemented
217C2×C4×D4×C73C2211yescharacteristic
218C2×#117×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C22×D292C2311yescharacteristic
224C22×D292C2311yescharacteristic
225C22×D292C2311yescharacteristic
226C22×D292C2311yescharacteristic
227C22×D292C2311yescharacteristic
228C22×C22⋊D73C2311yescharacteristic
229C22×C22⋊D73C2311yescharacteristic
230C22×C22⋊D73C2311yescharacteristic
231C22×C22⋊D73C2311yescharacteristic
232C22×C22⋊D73C2311yescharacteristic
233C22×C22⋊D73C2311yescharacteristic
234C22×C22⋊D73C2311yescharacteristic
235C22×C22⋊D73C2311yescharacteristic
236C22×C22⋊D73C2311yescharacteristic
237C22×C22⋊D73C2311yescharacteristic
238C23×Dic73C2311yescharacteristic
239C23×Dic73C2311yescharacteristic
240C23×Dic73C2311yescharacteristic
241C23×Dic73C2311yescharacteristic
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
253#14556591C2318yescomplemented
254#14556590C2318yescomplemented
255#14556587C2318yes—
256#14556586C2318yes—
257#14556586C2318yes—
258#14556586C2318yes—
259#14556586C2318yes—
260#14556586C2318yes—
261#14556586C2318yes—
262#14556586C2318yes—
263#14556586C2318yescomplemented
264#14556586C2318yescomplemented
265#14556586C2318yescomplemented
266#14556585C2318yes—
267#14556585C2318yes—
268#14556584C2318yes—
269#14556584C2318yes—
270#14556584C2318yes—
271#14556584C2318yes—
272#14556584C2318yescomplemented
273#14556584C2318yescomplemented
274#14556583C2318yescomplemented
275#14556583C2318yescomplemented
276#14556582C2318yescomplemented
277#14556582C2318yescomplemented
278#14556581C2318yescomplemented
279#14556581C2318yescomplemented
280#14556581C2318yescomplemented
281#14556581C2318yescomplemented
282#14556581C2318yescomplemented
283#14556581C2318yescomplemented
284#14556581C2318yescomplemented
285#14556581C2318yescomplemented
286#14556580C2318yes—
287#14556580C2318yes—
288#14556579C2318yes—
289#14556579C2318yes—
290#14556579C2318yescomplemented
291#14556577C2318yes—
292#14556577C2318yes—
293#14556577C2318yes—
294#14556577C2318yescomplemented
295#14556576C2318yes—
296#14556576C2318yes—
297#14556576C2318yes—
298#14556576C2318yes—
299#14556576C2318yes—
300#14556575C2318yes—
301#14556575C2318yes—
302#14556575C2318yes—
303#14556575C2318yes—
304#14556575C2318yescomplemented
305#14556575C2318yescomplemented
306#14556575C2318yescomplemented
307#14556574C2318yes—
308#14556574C2318yes—
309#14556573C2318yes—
310#14556573C2318yes—
311#14556573C2318yes—
312#14556573C2318yes—
313#14556573C2318yes—
314#14556573C2318yescomplemented
315#14556573C2318yescomplemented
316#14556572C2318yes—
317#14556571C2318yes—
318#14556569C2318yes—
319#14556568C2318yes—
320#14556568C2318yes—
321#14556568C2318yescomplemented
322#14556568C2318yescomplemented
323#14556568C2318yescomplemented
324#14556567C2318yes—
325#14556567C2318yes—
326#14556567C2318yes—
327#14556567C2318yes—
328#14556567C2318yescomplemented
329#14556567C2318yescomplemented
330#14556567C2318yescomplemented
331#14556567C2318yescomplemented
332#14556566C2318yes—
333#14556566C2318yes—
334#14556565C2318yes—
335#14556565C2318yes—
336#14556564C2318yes—
337#14556564C2318yes—
338#14556564C2318yes—
339#14556564C2318yes—
340#14556564C2318yes—
341#14556564C2318yescomplemented
342#14556564C2318yescomplemented
343#14556563C2318yes—
344#14556563C2318yes—
345#14556563C2318yes—
346#14556563C2318yes—
347#14556563C2318yescomplemented
348#14556562C2318yes—
349#14556561C2318yes—
350#14556561C2318yes—
351#14556559C2318yes—
352#14556559C2318yes—
353Q8×Dic73C2318yescomplemented
354Q8×Dic73C2318yescomplemented
355C4×Dic146C2318yescomplemented
356C4×Dic146C2318yescomplemented
357#14556556C2318yescomplemented
358C4×D292C2318yes—
359C4×D292C2318yes—
360D4×Dic73C2318yes—
361D4×Dic73C2318yescomplemented
362#14556553C2318yes—
363#14556553C2318yes—
364#14556553C2318yescomplemented
365C4×C22⋊D73C2318yes—
366C4×C22⋊D73C2318yes—
367C4×C22⋊D73C2318yescomplemented
368C4×C22⋊D73C2318yescomplemented
369#14556551C2318yes—
370#14556551C2318yes—
371#14556551C2318yes—
372#14556551C2318yes—
373#14556551C2318yescomplemented
374#14556551C2318yescomplemented
375#14556550C2318yes—
376#14556549C2318yes—
377#14556549C2318yes—
378#14556549C2318yescomplemented
379#14556549C2318yescomplemented
380#14556548C2318yes—
381#14556548C2318yes—
382#14556548C2318yescomplemented
383#14556548C2318yescomplemented
384#14556547C2318yes—
385#14556547C2318yescomplemented
386C2×C4⋊Dic73C2311yescharacteristic
387C2×C4⋊Dic73C2311yescharacteristic
388C2×C4⋊Dic73C2311yescharacteristic
389C2×C4⋊Dic73C2311yescharacteristic
390C2×C4⋊Dic73C2311yescharacteristic
391C2×C4⋊Dic73C2311yescharacteristic
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
420C2×#11924007C2311yescharacteristic
421C2×#11924007C2311yescharacteristic
422C2×#11924007C2311yescharacteristic
423C2×#11924007C2311yescharacteristic
424C2×#11924007C2318yescomplemented
425C4⋊C4×D73C2318yescomplemented
426C4⋊C4×D73C2318yescomplemented
427C2×C22⋊Dic73C2311yescharacteristic
428C2×C22⋊Dic73C2311yescharacteristic
429C2×C22⋊Dic73C2311yescharacteristic
430C2×C22⋊Dic73C2311yescharacteristic
431C2×C22⋊Dic73C2311yescharacteristic
432C2×C22⋊Dic73C2311yescharacteristic
433C2×C22⋊Dic73C2311yescharacteristic
434C2×C22⋊Dic73C2311yescharacteristic
435C2×#11924005C2318yes—
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
464C22⋊C4×D73C2318yes—
465C22⋊C4×D73C2318yes—
466C2×C4×Dic73C2311yescharacteristic
467C2×C4×Dic73C2311yescharacteristic
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
478C2×C4×Dic73C2318yescomplemented
479C22×Q8×C73C2311yescharacteristic
480C22×Q8×C73C2311yescharacteristic
481C22×Q8×C73C2311yescharacteristic
482C22×D4×C73C2311yescharacteristic
483C22×D4×C73C2311yescharacteristic
484C22×D4×C73C2311yescharacteristic
485C23×C4×C73C2311yescharacteristic
486C23×C4×C73C2311yescharacteristic
487C23×C4×C73C2311yescharacteristic
488C4⋊Q8×C73C2318yescomplemented
489#126×C73C2318yes—
490#126×C73C2318yescomplemented
491#124×C73C2318yes—
492#124×C73C2318yes—
493#124×C73C2318yescomplemented
494#123×C73C2318yes—
495#123×C73C2318yescomplemented
496C22⋊Q8×C73C2318yes—
497C22⋊Q8×C73C2318yescomplemented
498C22⋊Q8×C73C2318yescomplemented
499#121×C73C2318yes—
500C4×Q8×C73C2318yescomplemented
501C4×D4×C73C2318yes—
502#117×C73C2318yescomplemented
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×C22⋊C4×C73C2311yescharacteristic
514C2×C22⋊C4×C73C2311yescharacteristic
515C2×C22⋊C4×C73C2311yescharacteristic
516C2×C22⋊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×C22⋊C4×C73C2311yescharacteristic
524C2×C22⋊C4×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×D73C2414yes—
537C2×Dic146—42no—
538C2×Dic146—42no—
539C2×Dic146—42no—
540C2×Dic146C2414yes—
541C2×Dic146C2414yes—
542C2×Dic146C2414yes—
543C2×D292—42no—
544C2×D292—42no—
545C2×D292—42no—
546C2×D292—42no—
547C2×D292—42no—
548C2×D292C2414yes—
549C2×D292C2414yes—
550C2×D292C2414yes—
551C2×D292C2414yes—
552C2×D292C2414yes—
553C2×C22⋊D73—42no—
554C2×C22⋊D73—42no—
555C2×C22⋊D73—42no—
556C2×C22⋊D73—42no—
557C2×C22⋊D73—42no—
558C2×C22⋊D73—42no—
559C2×C22⋊D73—42no—
560C2×C22⋊D73—42no—
561C2×C22⋊D73—42no—
562C2×C22⋊D73—42no—
563C2×C22⋊D73C2414yes—
564C2×C22⋊D73C2414yes—
565C2×C22⋊D73C2414yes—
566C2×C22⋊D73C2414yes—
567C2×C22⋊D73C2414yes—
568C2×C22⋊D73C2414yes—
569C2×C22⋊D73C2414yes—
570C2×C22⋊D73C2414yes—
571C2×C22⋊D73C2414yes—
572C2×C22⋊D73C2414yes—
573C22×Dic73—42no—
574C22×Dic73—42no—
575C22×Dic73—42no—
576C22×Dic73—42no—
577C22×Dic73—42no—
578C22×Dic73C2411yescharacteristic
579C22×Dic73C2411yescharacteristic
580C22×Dic73C2411yescharacteristic
581C22×Dic73C2411yescharacteristic
582C22×Dic73C2411yescharacteristic
583C22×Dic73C2411yescharacteristic
584C22×Dic73C2411yescharacteristic
585C22×Dic73C2411yescharacteristic
586C22×Dic73C2411yescharacteristic
587C22×Dic73C2411yescharacteristic
588C22×Dic73C2411yescharacteristic
589C22×Dic73C2411yescharacteristic
590C22×Dic73C2414yes—
591C22×Dic73C2414yes—
592C22×Dic73C2414yes—
593C22×Dic73C2414yes—
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×D73C2414yes—
606C2×C4×D73C2414yes—
607C2×C4×D73C2414yes—
608C2×C4×D73C2414yes—
609C2×C4×D73C2414yes—
610C2×C4×D73C2414yes—
611C2×C4×D73C2414yes—
612C2×C4×D73C2414yes—
613C2×C4×D73C2414yes—
614C2×C4×D73C2414yes—
615C4⋊Dic73C2414yes—
616C4⋊Dic73C2414yes—
617C4⋊Dic73C2414yes—
618C4⋊Dic73C2414yes—
619C4⋊Dic73C2414yes—
620C4⋊Dic73C2414yes—
621C4⋊Dic73C2414yes—
622C4⋊Dic73C2414yes—
623C4⋊Dic73C2414yes—
624C4⋊Dic73C2414yes—
625C4⋊Dic73C2414yes—
626C4⋊Dic73C2414yes—
627C4⋊Dic73C2414yes—
628C4⋊Dic73C2414yes—
629#11924007C2414yes—
630#11924007C2414yes—
631#11924007C2414yes—
632#11924007C2414yes—
633#11924007C2414yes—
634#11924007C2414yes—
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—
653C22⋊Dic73C2414yes—
654C22⋊Dic73C2414yes—
655C22⋊Dic73C2414yes—
656C22⋊Dic73C2414yes—
657C22⋊Dic73C2414yes—
658C22⋊Dic73C2414yes—
659C22⋊Dic73C2414yes—
660C22⋊Dic73C2414yes—
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—
689C4×Dic73C2414yes—
690C4×Dic73C2414yes—
691C4×Dic73C2414yes—
692C4×Dic73C2414yes—
693C4×Dic73C2414yes—
694C4×Dic73C2414yes—
695C4×Dic73C2414yes—
696C4×Dic73C2414yes—
697C4×Dic73C2414yes—
698C4×Dic73C2414yes—
699C4×Dic73C2414yes—
700C4×Dic73C2414yes—
701C24×C73C2411yescharacteristic
702C24×C73C2411yescharacteristic
703C24×C73C2411yescharacteristic
704C2×Q8×C73—42no—
705C2×Q8×C73—42no—
706C2×Q8×C73—42no—
707C2×Q8×C73C2414yes—
708C2×Q8×C73C2414yes—
709C2×Q8×C73C2414yes—
710C2×D4×C73—42no—
711C2×D4×C73—42no—
712C2×D4×C73—42no—
713C2×D4×C73C2414yes—
714C2×D4×C73C2414yes—
715C2×D4×C73C2414yes—
716C22×C4×C73—42no—
717C22×C4×C73—42no—
718C22×C4×C73—42no—
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×C73C2411yescharacteristic
728C22×C4×C73C2411yescharacteristic
729C22×C4×C73C2411yescharacteristic
730C22×C4×C73C2411yescharacteristic
731C22×C4×C73C2414yes—
732C22×C4×C73C2414yes—
733C22×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—
744C22⋊C4×C73C2414yes—
745C22⋊C4×C73C2414yes—
746C22⋊C4×C73C2414yes—
747C22⋊C4×C73C2414yes—
748C22⋊C4×C73C2414yes—
749C22⋊C4×C73C2414yes—
750C22⋊C4×C73C2414yes—
751C22⋊C4×C73C2414yes—
752C22⋊C4×C73C2414yes—
753C22⋊C4×C73C2414yes—
754C22⋊C4×C73C2414yes—
755C22⋊C4×C73C2414yes—
756C42×C73C2414yes—
757C42×C73C2414yes—
758C42×C73C2414yes—
759C42×C73C2414yes—
760C23×C73—22no—
761C23×C73—22no—
762C23×C73—22no—
763C23×C73—22no—
764C23×C73—22no—
765C23×C73—22no—
766C23×C73—22no—
767C23×C73—22no—
768C23×C73—22no—
769C23×C73C2512yes—
770C23×C73C2512yes—
771C23×C73C2512yes—
772C23×C73C2511yescharacteristic
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—22no—
784C22×D73—22no—
785C22×D73—44no—
786C22×D73—44no—
787C22×D73—44no—
788C22×D73—88no—
789C22×D73C2512yes—
790C22×D73C2512yes—
791C22×D73C2512yes—
792C22×D73C2512yes—
793Q8×C73—44no—
794Q8×C73—44no—
795Q8×C73—44no—
796D4×C73—44no—
797D4×C73—44no—
798D4×C73—44no—
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—22no—
810C2×C4×C73—22no—
811C2×C4×C73—44no—
812C2×C4×C73—44no—
813C2×C4×C73—44no—
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—
824C2×C4×C73C2512yes—
825C2×C4×C73C2512yes—
826C22⋊D73—44no—
827C22⋊D73—44no—
828C22⋊D73—44no—
829C22⋊D73—44no—
830C22⋊D73—44no—
831C22⋊D73—44no—
832C22⋊D73—44no—
833C22⋊D73—44no—
834C22⋊D73—44no—
835C22⋊D73—44no—
836C2×Dic73—22no—
837C2×Dic73—22no—
838C2×Dic73—22no—
839C2×Dic73—22no—
840C2×Dic73—22no—
841C2×Dic73—22no—
842C2×Dic73—22no—
843C2×Dic73—22no—
844C2×Dic73—22no—
845C2×Dic73—22no—
846C2×Dic73—22no—
847C2×Dic73—22no—
848C2×Dic73—44no—
849C2×Dic73—44no—
850C2×Dic73—44no—
851C2×Dic73—44no—
852C2×Dic73—44no—
853C2×Dic73C2512yes—
854C2×Dic73C2512yes—
855C2×Dic73C2512yes—
856C2×Dic73C2512yes—
857C2×Dic73C2512yes—
858C2×Dic73C2512yes—
859C2×Dic73C2512yes—
860C2×Dic73C2512yes—
861C2×Dic73C2512yes—
862C2×Dic73C2512yes—
863C2×Dic73C2512yes—
864C2×Dic73C2512yes—
865D292—44no—
866D292—44no—
867D292—44no—
868D292—44no—
869D292—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—
879C4×D73—44no—
880Dic146—44no—
881Dic146—44no—
882Dic146—44no—
883C22×C73—22no—
884C22×C73—22no—
885C22×C73—22no—
886C22×C73—22no—
887C22×C73—22no—
888C22×C73—22no—
889C22×C73—22no—
890C22×C73—22no—
891C22×C73—22no—
892C22×C73—44no—
893C22×C73—44no—
894C22×C73—44no—
895C22×C73#58512yes—
896C22×C73#58512yes—
897C22×C73#58512yes—
898C22×C73C2611yescharacteristic
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—22no—
910C2×D73—22no—
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—
928Dic73—22no—
929Dic73—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—42no—
943C2×C73—42no—
944C2×C73#356614yescomplemented
945C2×C73C2×#58511yescharacteristic
946C2×C73C2×#58511yescharacteristic
947C2×C73C2×#58511yescharacteristic
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×#542D7311yescharacteristic, complemented
972C2×#541—731no—
973C2×#541—731no—
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#542C2×D73116yescomplemented
1004#541—7316no—
1005#541—7316no—
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×#126—731no—
1037C2×#126—731no—
1038C2×#126C2×D7311yescharacteristic
1039C2×#126C2×D7311yescharacteristic, complemented
1040C2×#125—731no—
1041C2×#125—731no—
1042C2×#125—731no—
1043C2×#125—731no—
1044C2×#125—731no—
1045C2×#125—731no—
1046C2×#125—731no—
1047C2×#125—731no—
1048C2×#125—731no—
1049C2×#125—731no—
1050C2×#125—731no—
1051C2×#125—731no—
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×#124C2×D7311yescharacteristic
1062C2×#124C2×D7311yescharacteristic
1063C2×#124C2×D7311yescharacteristic, complemented
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×#123C2×D7311yescharacteristic
1087C2×#123C2×D7311yescharacteristic, complemented
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⋊Q8C2×D7311yescharacteristic
1104C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1105C2×C22⋊Q8C2×D7311yescharacteristic, complemented
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×#121C2×D7311yescharacteristic
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×Q8—731no—
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×D4C2×D7311yescharacteristic
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, complemented
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×Q8C22×D7311yescharacteristic
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×D4C22×D7311yescharacteristic
1194C22×D4C22×D7311yescharacteristic
1195C22×D4C22×D7311yescharacteristic
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×C4C22×D7311yescharacteristic
1212C23×C4C22×D7311yescharacteristic
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#126—738no—
1235#126—738no—
1236#126C22×D7318yes—
1237#126C22×D7318yescomplemented
1238#125—738no—
1239#125—738no—
1240#125—738no—
1241#125—738no—
1242#125—738no—
1243#125—738no—
1244#125—738no—
1245#125—738no—
1246#125—738no—
1247#125—738no—
1248#125—738no—
1249#125—738no—
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#124C22×D7318yes—
1260#124C22×D7318yes—
1261#124C22×D7318yescomplemented
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#123C22×D7318yes—
1285#123C22×D7318yescomplemented
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⋊Q8C22×D7318yes—
1302C22⋊Q8C22×D7318yescomplemented
1303C22⋊Q8C22×D7318yescomplemented
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#121C22×D7318yes—
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×Q8—738no—
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×D4C22×D7318yes—
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×D7318yescomplemented
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—738no—
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—731no—
1391C2×C4⋊C4—731no—
1392C2×C4⋊C4—731no—
1393C2×C4⋊C4—731no—
1394C2×C4⋊C4—731no—
1395C2×C4⋊C4—731no—
1396C2×C4⋊C4—731no—
1397C2×C4⋊C4—731no—
1398C2×C4⋊C4—731no—
1399C2×C4⋊C4—731no—
1400C2×C4⋊C4—731no—
1401C2×C4⋊C4—738no—
1402C2×C4⋊C4—738no—
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—731no—
1424C2×C22⋊C4—731no—
1425C2×C22⋊C4—731no—
1426C2×C22⋊C4—731no—
1427C2×C22⋊C4—731no—
1428C2×C22⋊C4—731no—
1429C2×C22⋊C4—738no—
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—738no—
1451C2×C22⋊C4—738no—
1452C2×C22⋊C4C22×D7311yescharacteristic
1453C2×C22⋊C4C22×D7311yescharacteristic
1454C2×C22⋊C4C22×D7311yescharacteristic
1455C2×C22⋊C4C22×D7311yescharacteristic
1456C2×C22⋊C4C22×D7311yescharacteristic
1457C2×C22⋊C4C22×D7311yescharacteristic
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—731no—
1475C2×C42—731no—
1476C2×C42—738no—
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—
1489C24C23×D7311yescharacteristic
1490C24C23×D7311yescharacteristic
1491C24C23×D7311yescharacteristic
1492C2×Q8—42no—
1493C2×Q8—42no—
1494C2×Q8—42no—
1495C2×Q8—2922no—
1496C2×Q8—2922no—
1497C2×Q8—2922no—
1498C2×Q8—734no—
1499C2×Q8—734no—
1500C2×Q8—734no—
1501C2×Q8C23×D7314yes—
1502C2×Q8C23×D7314yes—
1503C2×Q8C23×D7314yes—
1504C2×D4—42no—
1505C2×D4—42no—
1506C2×D4—42no—
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×D4C23×D7314yes—
1538C2×D4C23×D7314yes—
1539C2×D4C23×D7314yes—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
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—731no—
1574C22×C4—731no—
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×D7314yes—
1598C22×C4C23×D7314yes—
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⋊C4—734no—
1629C4⋊C4—734no—
1630C4⋊C4—734no—
1631C4⋊C4—734no—
1632C4⋊C4—734no—
1633C4⋊C4—734no—
1634C4⋊C4—734no—
1635C4⋊C4—734no—
1636C4⋊C4—734no—
1637C4⋊C4—734no—
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⋊C4C23×D7314yes—
1685C22⋊C4C23×D7314yes—
1686C22⋊C4C23×D7314yes—
1687C22⋊C4C23×D7314yes—
1688C22⋊C4C23×D7314yes—
1689C22⋊C4C23×D7314yes—
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—
1706C42—734no—
1707C42—734no—
1708C42C23×D7314yes—
1709C42C23×D7314yes—
1710C42C23×D7314yes—
1711C42C23×D7314yes—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—2924no—
1722C23—2924no—
1723C23—2924no—
1724C23—5848no—
1725C23—732no—
1726C23—732no—
1727C23—732no—
1728C23—732no—
1729C23—1462no—
1730C23—1462no—
1731C23—1462no—
1732C23—1462no—
1733C23—1462no—
1734C23—1462no—
1735C23—1462no—
1736C23—1462no—
1737C23—1462no—
1738C23—1462no—
1739C23—1462no—
1740C23—1462no—
1741C23C24×D7312yes—
1742C23C24×D7312yes—
1743C23C24×D7312yes—
1744C23C24×D7311yescharacteristic
1745Q8—44no—
1746Q8—44no—
1747Q8—44no—
1748Q8—2924no—
1749Q8—2924no—
1750Q8—2924no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
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—44no—
1782C2×C4—44no—
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—732no—
1800C2×C4—732no—
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×C4—1462no—
1822C2×C4—1462no—
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—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—44no—
1845C22—44no—
1846C22—44no—
1847C22—2924no—
1848C22—2924no—
1849C22—2924no—
1850C22—2924no—
1851C22—5848no—
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#1798942212yes—
1865C22#1798942312yes—
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—1462no—
1881C4—1462no—
1882C4—1462no—
1883C4—1462no—
1884C4—1462no—
1885C4—1462no—
1886C4—1462no—
1887C4—1462no—
1888C4—1462no—
1889C4—1462no—
1890C4—1462no—
1891C4—1462no—
1892C2—42no—
1893C2—42no—
1894C2—42no—
1895C2—2922no—
1896C2—2922no—
1897C2—2922no—
1898C2—2922no—
1899C2#2262461114yesdirect product factor
1900C2C2×#1798942211yescharacteristic
1901C2C2×#1798942311yescharacteristic
1902C2C2×#1798942411yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#542×C73C2
socleC23×C73C25
hypercenterC2×#542D73
hypocenterC73C2×#3566
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #22624611C2direct (N × H)
2. C2×#17989339C2semidirect
3. C2×#17989331C2semidirect
4. C2×#17989331C2semidirect
5. C2×#17989325C2semidirect
6. C2×#17989319C2semidirect
7. C2×#17989310C2semidirect
8. C2×#17989300C2semidirect
9. C2×#17989288C2semidirect
10. C2×#17989282C2semidirect
11. C2×#17989280C2semidirect
12. C2×#17989278C2semidirect
13. C2×#17989271C2semidirect
14. C2×#17989270C2semidirect
15. C2×#17989267C2semidirect
16. C2×#17989264C2semidirect
17. C2×#17989260C2semidirect
18. C2×#17989211C2semidirect
19. C2×#17989206C2semidirect
20. C2×#17989198C2semidirect
21. C2×#17989194C2semidirect
22. C2×#17989189C2semidirect
23. C2×#17989186C2semidirect
24. C2×#17989183C2semidirect
25. C2×#17989183C2semidirect
26. C2×#17989176C2semidirect
27. C2×#17989171C2semidirect
28. C2×#17989170C2semidirect
29. C2×#17989123C2semidirect
30. C2×#17989117C2semidirect
31. C2×#17989114C2semidirect
32. C2×#542×C73C2semidirect
33. #17989339C22semidirect
34. #17989331C22semidirect
35. #17989331C22semidirect
36. #17989325C22semidirect
37. #17989319C22semidirect
38. #17989310C22semidirect
39. #17989300C22semidirect
40. #17989288C22semidirect
41. #17989282C22semidirect
42. #17989280C22semidirect
43. #17989278C22semidirect
44. #17989271C22semidirect
45. #17989270C22semidirect
46. #17989267C22semidirect
47. #17989264C22semidirect
48. #17989260C22semidirect
49. #17989211C22semidirect
50. #17989206C22semidirect
51. #17989198C22semidirect
52. #17989194C22semidirect
53. #17989189C22semidirect
54. #17989186C22semidirect
55. #17989183C22semidirect
56. #17989183C22semidirect
57. #17989176C22semidirect
58. #17989171C22semidirect
59. #17989170C22semidirect
60. C2×#14556591C22semidirect
61. C2×#14556590C22semidirect
63. #17989123C22semidirect
64. #17989117C22semidirect
65. #17989114C22semidirect
73. C2×#14556586C22semidirect
74. C2×#14556586C22semidirect
75. C2×#14556586C22semidirect
82. C2×#14556584C22semidirect
83. C2×#14556584C22semidirect
84. C2×#14556583C22semidirect
85. C2×#14556583C22semidirect
86. C2×#14556582C22semidirect
87. C2×#14556582C22semidirect
88. C2×#14556581C22semidirect
89. C2×#14556581C22semidirect
90. C2×#14556581C22semidirect
91. C2×#14556581C22semidirect
92. C2×#14556581C22semidirect
93. C2×#14556581C22semidirect
94. C2×#14556581C22semidirect
95. C2×#14556581C22semidirect
100. C2×#14556579C22semidirect
104. C2×#14556577C22semidirect
114. C2×#14556575C22semidirect
115. C2×#14556575C22semidirect
116. C2×#14556575C22semidirect
124. C2×#14556573C22semidirect
125. C2×#14556573C22semidirect
131. C2×#14556568C22semidirect
132. C2×#14556568C22semidirect
133. C2×#14556568C22semidirect
138. C2×#14556567C22semidirect
139. C2×#14556567C22semidirect
140. C2×#14556567C22semidirect
141. C2×#14556567C22semidirect
151. C2×#14556564C22semidirect
152. C2×#14556564C22semidirect
157. C2×#14556563C22semidirect
163. C2×Q8×Dic73C22semidirect
164. C2×Q8×Dic73C22semidirect
165. C2×C4×Dic146C22semidirect
166. C2×C4×Dic146C22semidirect
167. C2×#14556556C22semidirect
171. C2×D4×Dic73C22semidirect
174. C2×#14556553C22semidirect
177. C2×C4×C22⋊D73C22semidirect
178. C2×C4×C22⋊D73C22semidirect
183. C2×#14556551C22semidirect
184. C2×#14556551C22semidirect
188. C2×#14556549C22semidirect
189. C2×#14556549C22semidirect
192. C2×#14556548C22semidirect
193. C2×#14556548C22semidirect
195. C2×#14556547C22semidirect
196. C22×#11924007C22semidirect
197. C2×C4⋊C4×D73C22semidirect
198. C2×C4⋊C4×D73C22semidirect
202. C22×C4×Dic73C22semidirect
203. #542×C73C22semidirect
204. C2×C4⋊Q8×C73C22semidirect
206. C2×#126×C73C22semidirect
209. C2×#124×C73C22semidirect
211. C2×#123×C73C22semidirect
213. C2×C22⋊Q8×C73C22semidirect
214. C2×C22⋊Q8×C73C22semidirect
216. C2×C4×Q8×C73C22semidirect
218. C2×#117×C73C22semidirect
253. #14556591C23semidirect
254. #14556590C23semidirect
263. #14556586C23semidirect
264. #14556586C23semidirect
265. #14556586C23semidirect
272. #14556584C23semidirect
273. #14556584C23semidirect
274. #14556583C23semidirect
275. #14556583C23semidirect
276. #14556582C23semidirect
277. #14556582C23semidirect
278. #14556581C23semidirect
279. #14556581C23semidirect
280. #14556581C23semidirect
281. #14556581C23semidirect
282. #14556581C23semidirect
283. #14556581C23semidirect
284. #14556581C23semidirect
285. #14556581C23semidirect
290. #14556579C23semidirect
294. #14556577C23semidirect
304. #14556575C23semidirect
305. #14556575C23semidirect
306. #14556575C23semidirect
314. #14556573C23semidirect
315. #14556573C23semidirect
321. #14556568C23semidirect
322. #14556568C23semidirect
323. #14556568C23semidirect
328. #14556567C23semidirect
329. #14556567C23semidirect
330. #14556567C23semidirect
331. #14556567C23semidirect
341. #14556564C23semidirect
342. #14556564C23semidirect
347. #14556563C23semidirect
353. Q8×Dic73C23semidirect
354. Q8×Dic73C23semidirect
355. C4×Dic146C23semidirect
356. C4×Dic146C23semidirect
357. #14556556C23semidirect
361. D4×Dic73C23semidirect
364. #14556553C23semidirect
367. C4×C22⋊D73C23semidirect
368. C4×C22⋊D73C23semidirect
373. #14556551C23semidirect
374. #14556551C23semidirect
378. #14556549C23semidirect
379. #14556549C23semidirect
382. #14556548C23semidirect
383. #14556548C23semidirect
385. #14556547C23semidirect
424. C2×#11924007C23semidirect
425. C4⋊C4×D73C23semidirect
426. C4⋊C4×D73C23semidirect
478. C2×C4×Dic73C23semidirect
488. C4⋊Q8×C73C23semidirect
490. #126×C73C23semidirect
493. #124×C73C23semidirect
495. #123×C73C23semidirect
497. C22⋊Q8×C73C23semidirect
498. C22⋊Q8×C73C23semidirect
500. C4×Q8×C73C23semidirect
502. #117×C73C23semidirect
944. C2×C73#3566semidirect
971. C2×#542D73semidirect
984. C73C2×#3566semidirect
1003. #542C2×D73semidirect
1015. C2×C4⋊Q8C2×D73semidirect
1039. C2×#126C2×D73semidirect
1063. C2×#124C2×D73semidirect
1087. C2×#123C2×D73semidirect
1104. C2×C22⋊Q8C2×D73semidirect
1105. C2×C22⋊Q8C2×D73semidirect
1133. C2×C4×Q8C2×D73semidirect
1163. C2×#117C2×D73semidirect
1216. C4⋊Q8C22×D73semidirect
1237. #126C22×D73semidirect
1261. #124C22×D73semidirect
1285. #123C22×D73semidirect
1302. C22⋊Q8C22×D73semidirect
1303. C22⋊Q8C22×D73semidirect
1331. C4×Q8C22×D73semidirect
1361. #117C22×D73semidirect
1899. C2#22624611direct (N × H)

Maximal subgroups

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

subgroupindex
#226246112
C2×#179893392
C2×#179893312
C2×#179893252
C2×#179893192
C2×#179893102
C2×#179893002
C2×#179892882
C2×#179892822
C2×#179892802
C2×#179892782
C2×#179892712
C2×#179892702
C2×#179892672
C2×#179892642
C2×#179892602
C2×#179892112
C2×#179892062
C2×#179891982
C2×#179891942
C2×#179891892
C2×#179891862
C2×#179891832
C2×#179891762
C2×#179891712
C2×#179891702
C2×#179891232
C2×#179891172
C2×#179891142
C2×#542×C732
C2×#356673