Finite Group Databasebeta

← C2×#22624599 #33993520

Subgroups — C2×#22624599 #33993520

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#22624599C2132yesmaximal, direct product factor
2C2×#17989338C211yesmaximal, characteristic, complemented
3C2×#17989333C211yesmaximal, characteristic, complemented
4C2×#17989332C211yesmaximal, characteristic, complemented
5C2×#17989325C211yesmaximal, characteristic, complemented
6C2×#17989321C211yesmaximal, characteristic, complemented
7C2×#17989309C211yesmaximal, characteristic, complemented
8C2×#17989300C211yesmaximal, characteristic, complemented
9C2×#17989286C211yesmaximal, characteristic, complemented
10C2×#17989282C211yesmaximal, characteristic, complemented
11C2×#17989282C211yesmaximal, characteristic, complemented
12C2×#17989278C211yesmaximal, characteristic, complemented
13C2×#17989276C211yesmaximal, characteristic, complemented
14C2×#17989270C211yesmaximal, characteristic, complemented
15C2×#17989266C211yesmaximal, characteristic, complemented
16C2×#17989265C211yesmaximal, characteristic, complemented
17C2×#17989261C211yesmaximal, characteristic, complemented
18C2×#17989203C211yesmaximal, characteristic, complemented
19C2×#17989202C211yesmaximal, characteristic, complemented
20C2×#17989201C211yesmaximal, characteristic, complemented
21C2×#17989196C211yesmaximal, characteristic, complemented
22C2×#17989194C211yesmaximal, characteristic, complemented
23C2×#17989188C211yesmaximal, characteristic, complemented
24C2×#17989185C211yesmaximal, characteristic, complemented
25C2×#17989179C211yesmaximal, characteristic, complemented
26C2×#17989178C211yesmaximal, characteristic, complemented
27C2×#17989176C211yesmaximal, characteristic, complemented
28C2×#17989171C211yesmaximal, characteristic, complemented
29C2×#17989170C211yesmaximal, characteristic, complemented
30C2×#17989121C211yesmaximal, characteristic, complemented
31C2×#17989121C211yesmaximal, characteristic, complemented
32C2×#529×C73C211yesmaximal, characteristic, complemented
33#17989338C22116yescomplemented
34#17989333C22116yescomplemented
35#17989332C22116yescomplemented
36#17989325C22116yescomplemented
37#17989321C22116yescomplemented
38#17989309C22116yescomplemented
39#17989300C22116yescomplemented
40#17989286C22116yescomplemented
41#17989282C22116yescomplemented
42#17989282C22116yescomplemented
43#17989278C22116yescomplemented
44#17989276C22116yescomplemented
45#17989270C22116yescomplemented
46#17989266C22116yescomplemented
47#17989265C22116yescomplemented
48#17989261C22116yescomplemented
49#17989203C22116yescomplemented
50#17989202C22116yescomplemented
51#17989201C22116yescomplemented
52#17989196C22116yescomplemented
53#17989194C22116yescomplemented
54#17989188C22116yescomplemented
55#17989185C22116yescomplemented
56#17989179C22116yescomplemented
57#17989178C22116yescomplemented
58#17989176C22116yescomplemented
59#17989171C22116yescomplemented
60#17989170C22116yescomplemented
61C2×#14556590C2211yescharacteristic, complemented
62C2×#14556590C2211yescharacteristic, complemented
63C2×#14556589C2211yescharacteristic, complemented
64C2×#14556587C2211yescharacteristic
65#17989121C22116yescomplemented
66#17989121C22116yescomplemented
67C2×#14556586C2211yescharacteristic
68C2×#14556586C2211yescharacteristic
69C2×#14556586C2211yescharacteristic
70C2×#14556586C2211yescharacteristic
71C2×#14556586C2211yescharacteristic
72C2×#14556586C2211yescharacteristic, complemented
73C2×#14556585C2211yescharacteristic
74C2×#14556585C2211yescharacteristic
75C2×#14556585C2211yescharacteristic
76C2×#14556585C2211yescharacteristic
77C2×#14556585C2211yescharacteristic, complemented
78C2×#14556585C2211yescharacteristic, complemented
79C2×#14556584C2211yescharacteristic
80C2×#14556584C2211yescharacteristic
81C2×#14556584C2211yescharacteristic
82C2×#14556584C2211yescharacteristic
83C2×#14556584C2211yescharacteristic, complemented
84C2×#14556584C2211yescharacteristic, complemented
85C2×#14556583C2211yescharacteristic, complemented
86C2×#14556583C2211yescharacteristic, complemented
87C2×#14556583C2211yescharacteristic, complemented
88C2×#14556582C2211yescharacteristic, complemented
89C2×#14556582C2211yescharacteristic, complemented
90C2×#14556581C2211yescharacteristic, complemented
91C2×#14556581C2211yescharacteristic, complemented
92C2×#14556581C2211yescharacteristic, complemented
93C2×#14556581C2211yescharacteristic, complemented
94C2×#14556581C2211yescharacteristic, complemented
95C2×#14556581C2211yescharacteristic, complemented
96C2×#14556580C2211yescharacteristic
97C2×#14556579C2211yescharacteristic
98C2×#14556579C2211yescharacteristic
99C2×#14556579C2211yescharacteristic
100C2×#14556578C2211yescharacteristic
101C2×#14556577C2211yescharacteristic
102C2×#14556577C2211yescharacteristic
103C2×#14556577C2211yescharacteristic
104C2×#14556577C2211yescharacteristic, complemented
105C2×#14556577C2211yescharacteristic, complemented
106C2×#14556577C2211yescharacteristic, complemented
107C2×#14556576C2211yescharacteristic
108C2×#14556576C2211yescharacteristic
109C2×#14556576C2211yescharacteristic
110C2×#14556576C2211yescharacteristic
111C2×#14556576C2211yescharacteristic
112C2×#14556576C2211yescharacteristic, complemented
113C2×#14556575C2211yescharacteristic
114C2×#14556575C2211yescharacteristic
115C2×#14556574C2211yescharacteristic
116C2×#14556574C2211yescharacteristic
117C2×#14556574C2211yescharacteristic
118C2×#14556574C2211yescharacteristic
119C2×#14556574C2211yescharacteristic, complemented
120C2×#14556574C2211yescharacteristic, complemented
121C2×#14556573C2211yescharacteristic
122C2×#14556573C2211yescharacteristic
123C2×#14556573C2211yescharacteristic
124C2×#14556573C2211yescharacteristic
125C2×#14556573C2211yescharacteristic
126C2×#14556573C2211yescharacteristic, complemented
127C2×#14556572C2211yescharacteristic
128C2×#14556572C2211yescharacteristic, complemented
129C2×#14556571C2211yescharacteristic, complemented
130C2×#14556571C2211yescharacteristic, complemented
131C2×#14556570C2211yescharacteristic
132C2×#14556570C2211yescharacteristic, complemented
133C2×#14556570C2211yescharacteristic, complemented
134C2×#14556569C2211yescharacteristic
135C2×#14556569C2211yescharacteristic
136C2×#14556569C2211yescharacteristic
137C2×#14556569C2211yescharacteristic
138C2×#14556569C2211yescharacteristic
139C2×#14556569C2211yescharacteristic, complemented
140C2×#14556568C2211yescharacteristic
141C2×#14556568C2211yescharacteristic
142C2×#14556568C2211yescharacteristic, complemented
143C2×#14556568C2211yescharacteristic, complemented
144C2×#14556567C2211yescharacteristic
145C2×#14556567C2211yescharacteristic, complemented
146C2×#14556566C2211yescharacteristic
147C2×#14556566C2211yescharacteristic
148C2×#14556565C2211yescharacteristic
149C2×#14556565C2211yescharacteristic
150C2×#14556565C2211yescharacteristic, complemented
151C2×#14556564C2211yescharacteristic
152C2×#14556564C2211yescharacteristic
153C2×#14556564C2211yescharacteristic
154C2×#14556564C2211yescharacteristic
155C2×#14556564C2211yescharacteristic
156C2×#14556564C2211yescharacteristic, complemented
157C2×#14556563C2211yescharacteristic
158C2×#14556563C2211yescharacteristic
159C2×#14556563C2211yescharacteristic
160C2×#14556563C2211yescharacteristic
161C2×#14556562C2211yescharacteristic
162C2×#14556562C2211yescharacteristic, complemented
163C2×#14556561C2211yescharacteristic
164C2×#14556561C2211yescharacteristic
165C2×#14556559C2211yescharacteristic
166C2×#14556559C2211yescharacteristic
167C2×C4×Dic146C2211yescharacteristic, complemented
168C2×C4×Dic146C2211yescharacteristic, complemented
169C2×C4×Dic146C2211yescharacteristic, complemented
170C2×#14556556C2211yescharacteristic, complemented
171C2×#14556556C2211yescharacteristic, complemented
172C2×C4×D292C2211yescharacteristic
173C2×C4×D292C2211yescharacteristic
174C2×C4×D292C2211yescharacteristic
175C2×#14556553C2211yescharacteristic
176C2×#14556553C2211yescharacteristic, complemented
177C2×C4×C22⋊D73C2211yescharacteristic
178C2×C4×C22⋊D73C2211yescharacteristic
179C2×C4×C22⋊D73C2211yescharacteristic
180C2×C4×C22⋊D73C2211yescharacteristic
181C2×C4×C22⋊D73C2211yescharacteristic, complemented
182C2×C4×C22⋊D73C2211yescharacteristic, complemented
183C2×#14556551C2211yescharacteristic
184C2×#14556551C2211yescharacteristic
185C2×#14556551C2211yescharacteristic, complemented
186C2×#14556551C2211yescharacteristic, complemented
187C2×#14556549C2211yescharacteristic
188C2×#14556549C2211yescharacteristic
189C2×#14556548C2211yescharacteristic
190C2×#14556548C2211yescharacteristic
191C2×#14556548C2211yescharacteristic, complemented
192C2×#14556548C2211yescharacteristic, complemented
193C2×#14556548C2211yescharacteristic, complemented
194C2×#14556548C2211yescharacteristic, complemented
195C2×#14556547C2211yescharacteristic
196C2×#14556547C2211yescharacteristic, complemented
197C22×#11924007C2211yescharacteristic, complemented
198C2×C4⋊C4×D73C2211yescharacteristic, complemented
199C2×C4⋊C4×D73C2211yescharacteristic, complemented
200C22×#11924005C2211yescharacteristic
201C2×C22⋊C4×D73C2211yescharacteristic
202C2×C22⋊C4×D73C2211yescharacteristic
203#529×C73C22116yescomplemented
204C2×#126×C73C2211yescharacteristic
205C2×#126×C73C2211yescharacteristic, complemented
206C2×#125×C73C2211yescharacteristic, complemented
207C2×#124×C73C2211yescharacteristic
208C2×#123×C73C2211yescharacteristic
209C2×#123×C73C2211yescharacteristic, complemented
210C2×C22⋊Q8×C73C2211yescharacteristic, complemented
211C2×#121×C73C2211yescharacteristic
212C2×C4×Q8×C73C2211yescharacteristic, complemented
213C2×C4×D4×C73C2211yescharacteristic
214C2×C4×D4×C73C2211yescharacteristic
215C2×C4×D4×C73C2211yescharacteristic, complemented
216C2×#117×C73C2211yescharacteristic
217C2×#117×C73C2211yescharacteristic, complemented
218C22×C42×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C22×Dic146C2311yescharacteristic
224C22×Dic146C2311yescharacteristic
225C22×D292C2311yescharacteristic
226C22×D292C2311yescharacteristic
227C22×D292C2311yescharacteristic
228C22×D292C2311yescharacteristic
229C22×D292C2311yescharacteristic
230C22×C22⋊D73C2311yescharacteristic
231C22×C22⋊D73C2311yescharacteristic
232C22×C22⋊D73C2311yescharacteristic
233C22×C22⋊D73C2311yescharacteristic
234C22×C22⋊D73C2311yescharacteristic
235C22×C22⋊D73C2311yescharacteristic
236C22×C22⋊D73C2311yescharacteristic
237C22×C22⋊D73C2311yescharacteristic
238C22×C22⋊D73C2311yescharacteristic
239C22×C22⋊D73C2311yescharacteristic
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#14556590C2318yescomplemented
254#14556590C2318yescomplemented
255#14556589C2318yescomplemented
256#14556587C2318yes—
257#14556586C2318yes—
258#14556586C2318yes—
259#14556586C2318yes—
260#14556586C2318yes—
261#14556586C2318yes—
262#14556586C2318yescomplemented
263#14556585C2318yes—
264#14556585C2318yes—
265#14556585C2318yes—
266#14556585C2318yes—
267#14556585C2318yescomplemented
268#14556585C2318yescomplemented
269#14556584C2318yes—
270#14556584C2318yes—
271#14556584C2318yes—
272#14556584C2318yes—
273#14556584C2318yescomplemented
274#14556584C2318yescomplemented
275#14556583C2318yescomplemented
276#14556583C2318yescomplemented
277#14556583C2318yescomplemented
278#14556582C2318yescomplemented
279#14556582C2318yescomplemented
280#14556581C2318yescomplemented
281#14556581C2318yescomplemented
282#14556581C2318yescomplemented
283#14556581C2318yescomplemented
284#14556581C2318yescomplemented
285#14556581C2318yescomplemented
286#14556580C2318yes—
287#14556579C2318yes—
288#14556579C2318yes—
289#14556579C2318yes—
290#14556578C2318yes—
291#14556577C2318yes—
292#14556577C2318yes—
293#14556577C2318yes—
294#14556577C2318yescomplemented
295#14556577C2318yescomplemented
296#14556577C2318yescomplemented
297#14556576C2318yes—
298#14556576C2318yes—
299#14556576C2318yes—
300#14556576C2318yes—
301#14556576C2318yes—
302#14556576C2318yescomplemented
303#14556575C2318yes—
304#14556575C2318yes—
305#14556574C2318yes—
306#14556574C2318yes—
307#14556574C2318yes—
308#14556574C2318yes—
309#14556574C2318yescomplemented
310#14556574C2318yescomplemented
311#14556573C2318yes—
312#14556573C2318yes—
313#14556573C2318yes—
314#14556573C2318yes—
315#14556573C2318yes—
316#14556573C2318yescomplemented
317#14556572C2318yes—
318#14556572C2318yescomplemented
319#14556571C2318yescomplemented
320#14556571C2318yescomplemented
321#14556570C2318yes—
322#14556570C2318yescomplemented
323#14556570C2318yescomplemented
324#14556569C2318yes—
325#14556569C2318yes—
326#14556569C2318yes—
327#14556569C2318yes—
328#14556569C2318yes—
329#14556569C2318yescomplemented
330#14556568C2318yes—
331#14556568C2318yes—
332#14556568C2318yescomplemented
333#14556568C2318yescomplemented
334#14556567C2318yes—
335#14556567C2318yescomplemented
336#14556566C2318yes—
337#14556566C2318yes—
338#14556565C2318yes—
339#14556565C2318yes—
340#14556565C2318yescomplemented
341#14556564C2318yes—
342#14556564C2318yes—
343#14556564C2318yes—
344#14556564C2318yes—
345#14556564C2318yes—
346#14556564C2318yescomplemented
347#14556563C2318yes—
348#14556563C2318yes—
349#14556563C2318yes—
350#14556563C2318yes—
351#14556562C2318yes—
352#14556562C2318yescomplemented
353#14556561C2318yes—
354#14556561C2318yes—
355#14556559C2318yes—
356#14556559C2318yes—
357C4×Dic146C2318yescomplemented
358C4×Dic146C2318yescomplemented
359C4×Dic146C2318yescomplemented
360#14556556C2318yescomplemented
361#14556556C2318yescomplemented
362C4×D292C2318yes—
363C4×D292C2318yes—
364C4×D292C2318yes—
365#14556553C2318yes—
366#14556553C2318yescomplemented
367C4×C22⋊D73C2318yes—
368C4×C22⋊D73C2318yes—
369C4×C22⋊D73C2318yes—
370C4×C22⋊D73C2318yes—
371C4×C22⋊D73C2318yescomplemented
372C4×C22⋊D73C2318yescomplemented
373#14556551C2318yes—
374#14556551C2318yes—
375#14556551C2318yescomplemented
376#14556551C2318yescomplemented
377#14556549C2318yes—
378#14556549C2318yes—
379#14556548C2318yes—
380#14556548C2318yes—
381#14556548C2318yescomplemented
382#14556548C2318yescomplemented
383#14556548C2318yescomplemented
384#14556548C2318yescomplemented
385#14556547C2318yes—
386#14556547C2318yescomplemented
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×#11924007C2311yescharacteristic
398C2×#11924007C2311yescharacteristic
399C2×#11924007C2311yescharacteristic
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×#11924007C2311yescharacteristic
425C2×#11924007C2318yescomplemented
426C4⋊C4×D73C2318yescomplemented
427C4⋊C4×D73C2318yescomplemented
428C2×C22⋊Dic73C2311yescharacteristic
429C2×C22⋊Dic73C2311yescharacteristic
430C2×C22⋊Dic73C2311yescharacteristic
431C2×C22⋊Dic73C2311yescharacteristic
432C2×C22⋊Dic73C2311yescharacteristic
433C2×C22⋊Dic73C2311yescharacteristic
434C2×C22⋊Dic73C2311yescharacteristic
435C2×C22⋊Dic73C2311yescharacteristic
436C2×C22⋊Dic73C2311yescharacteristic
437C2×C22⋊Dic73C2311yescharacteristic
438C2×#11924005C2318yes—
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
466C2×#11924005C2311yescharacteristic
467C22⋊C4×D73C2318yes—
468C22⋊C4×D73C2318yes—
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×Dic73C2311yescharacteristic
479C22×Q8×C73C2311yescharacteristic
480C22×D4×C73C2311yescharacteristic
481C22×D4×C73C2311yescharacteristic
482C22×D4×C73C2311yescharacteristic
483C23×C4×C73C2311yescharacteristic
484C23×C4×C73C2311yescharacteristic
485C23×C4×C73C2311yescharacteristic
486C23×C4×C73C2311yescharacteristic
487C23×C4×C73C2311yescharacteristic
488#126×C73C2318yes—
489#126×C73C2318yescomplemented
490#125×C73C2318yescomplemented
491#124×C73C2318yes—
492#123×C73C2318yes—
493#123×C73C2318yescomplemented
494C22⋊Q8×C73C2318yescomplemented
495#121×C73C2318yes—
496C4×Q8×C73C2318yescomplemented
497C4×D4×C73C2318yes—
498C4×D4×C73C2318yes—
499C4×D4×C73C2318yescomplemented
500#117×C73C2318yes—
501#117×C73C2318yescomplemented
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×C22⋊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×C42×C73C2311yescharacteristic
523C2×C42×C73C2311yescharacteristic
524C2×C42×C73C2311yescharacteristic
525C2×C42×C73C2311yescharacteristic
526C2×C42×C73C2311yescharacteristic
527C2×C42×C73C2311yescharacteristic
528C2×C42×C73C2318yescomplemented
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×Dic146—42no—
541C2×Dic146—42no—
542C2×Dic146C2414yes—
543C2×Dic146C2414yes—
544C2×Dic146C2414yes—
545C2×Dic146C2414yes—
546C2×Dic146C2414yes—
547C2×D292—42no—
548C2×D292—42no—
549C2×D292—42no—
550C2×D292—42no—
551C2×D292—42no—
552C2×D292C2414yes—
553C2×D292C2414yes—
554C2×D292C2414yes—
555C2×D292C2414yes—
556C2×D292C2414yes—
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⋊D73—42no—
564C2×C22⋊D73—42no—
565C2×C22⋊D73—42no—
566C2×C22⋊D73—42no—
567C2×C22⋊D73C2414yes—
568C2×C22⋊D73C2414yes—
569C2×C22⋊D73C2414yes—
570C2×C22⋊D73C2414yes—
571C2×C22⋊D73C2414yes—
572C2×C22⋊D73C2414yes—
573C2×C22⋊D73C2414yes—
574C2×C22⋊D73C2414yes—
575C2×C22⋊D73C2414yes—
576C2×C22⋊D73C2414yes—
577C22×Dic73—42no—
578C22×Dic73—42no—
579C22×Dic73—42no—
580C22×Dic73C2411yescharacteristic
581C22×Dic73C2411yescharacteristic
582C22×Dic73C2411yescharacteristic
583C22×Dic73C2411yescharacteristic
584C22×Dic73C2411yescharacteristic
585C22×Dic73C2411yescharacteristic
586C22×Dic73C2411yescharacteristic
587C22×Dic73C2411yescharacteristic
588C22×Dic73C2411yescharacteristic
589C22×Dic73C2411yescharacteristic
590C22×Dic73C2411yescharacteristic
591C22×Dic73C2411yescharacteristic
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—
625#11924007C2414yes—
626#11924007C2414yes—
627#11924007C2414yes—
628#11924007C2414yes—
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—
661C22⋊Dic73C2414yes—
662C22⋊Dic73C2414yes—
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—
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×C73C2414yes—
706C2×D4×C73—42no—
707C2×D4×C73—42no—
708C2×D4×C73—42no—
709C2×D4×C73C2414yes—
710C2×D4×C73C2414yes—
711C2×D4×C73C2414yes—
712C22×C4×C73—42no—
713C22×C4×C73—42no—
714C22×C4×C73—42no—
715C22×C4×C73—42no—
716C22×C4×C73—42no—
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×C73C2411yescharacteristic
728C22×C4×C73C2411yescharacteristic
729C22×C4×C73C2414yes—
730C22×C4×C73C2414yes—
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—
754C42×C73C2414yes—
755C42×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—
794D4×C73—44no—
795D4×C73—44no—
796D4×C73—44no—
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×C73—44no—
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×Dic73C2512yes—
852C2×Dic73C2512yes—
853C2×Dic73C2512yes—
854C2×Dic73C2512yes—
855C2×Dic73C2512yes—
856C2×Dic73C2512yes—
857C2×Dic73C2512yes—
858C2×Dic73C2512yes—
859C2×Dic73C2512yes—
860C2×Dic73C2512yes—
861C2×Dic73C2512yes—
862C2×Dic73C2512yes—
863D292—44no—
864D292—44no—
865D292—44no—
866D292—44no—
867D292—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—
878Dic146—44no—
879Dic146—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×#542—731no—
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×#529D7311yescharacteristic, complemented
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#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⋊Q8—731no—
1016C2×#127—731no—
1017#529—7316no—
1018#529—7316no—
1019#529C2×D73116yescomplemented
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×#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×#124C2×D7311yescharacteristic
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⋊Q8—731no—
1104C2×C22⋊Q8—731no—
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×D4C2×D7311yescharacteristic
1150C2×C4×D4C2×D7311yescharacteristic
1151C2×C4×D4C2×D7311yescharacteristic, complemented
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×#117C2×D7311yescharacteristic
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×C42C2×D7311yescharacteristic, complemented
1171C25—731no—
1172C22×Q8—731no—
1173C22×Q8—731no—
1174C22×Q8—731no—
1175C22×Q8—731no—
1176C22×Q8—731no—
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×C4C22×D7311yescharacteristic
1210C23×C4C22×D7311yescharacteristic
1211C23×C4C22×D7311yescharacteristic
1212C23×C4C22×D7311yescharacteristic
1213C23×C4C22×D7311yescharacteristic
1214C4⋊Q8—738no—
1215C4⋊Q8—738no—
1216C4⋊Q8—738no—
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#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#124C22×D7318yes—
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⋊Q8—738no—
1302C22⋊Q8—738no—
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×D4C22×D7318yes—
1348C4×D4C22×D7318yes—
1349C4×D4C22×D7318yescomplemented
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#117C22×D7318yes—
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—731no—
1430C2×C22⋊C4—731no—
1431C2×C22⋊C4—738no—
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—738no—
1453C2×C22⋊C4—738no—
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×C42C22×D7311yescharacteristic
1475C2×C42C22×D7311yescharacteristic
1476C2×C42C22×D7311yescharacteristic
1477C2×C42C22×D7311yescharacteristic
1478C2×C42C22×D7311yescharacteristic
1479C2×C42C22×D7311yescharacteristic
1480C2×C42C22×D7318yescomplemented
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—2922no—
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×Q8—734no—
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—42no—
1544C22×C4—42no—
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—731no—
1572C22×C4—731no—
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×C4C23×D7311yescharacteristic
1584C22×C4C23×D7311yescharacteristic
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×D7314yes—
1596C22×C4C23×D7314yes—
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⋊C4—734no—
1685C22⋊C4—734no—
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—
1706C42C23×D7314yes—
1707C42C23×D7314yes—
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—2924no—
1747Q8—2924no—
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—44no—
1785C2×C4—44no—
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#1798942312yes—
1865C22#1798942312yes—
1866C22#1798942312yes—
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#2262459914yesdirect product factor
1900C2C2×#1798942311yescharacteristic
1901C2C2×#1798942311yescharacteristic
1902C2C2×#1798942311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#529×C73C2
socleC23×C73C25
hypercenterC2×#529D73
hypocenterC73C2×#3566
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #22624599C2direct (N × H)
2. C2×#17989338C2semidirect
3. C2×#17989333C2semidirect
4. C2×#17989332C2semidirect
5. C2×#17989325C2semidirect
6. C2×#17989321C2semidirect
7. C2×#17989309C2semidirect
8. C2×#17989300C2semidirect
9. C2×#17989286C2semidirect
10. C2×#17989282C2semidirect
11. C2×#17989282C2semidirect
12. C2×#17989278C2semidirect
13. C2×#17989276C2semidirect
14. C2×#17989270C2semidirect
15. C2×#17989266C2semidirect
16. C2×#17989265C2semidirect
17. C2×#17989261C2semidirect
18. C2×#17989203C2semidirect
19. C2×#17989202C2semidirect
20. C2×#17989201C2semidirect
21. C2×#17989196C2semidirect
22. C2×#17989194C2semidirect
23. C2×#17989188C2semidirect
24. C2×#17989185C2semidirect
25. C2×#17989179C2semidirect
26. C2×#17989178C2semidirect
27. C2×#17989176C2semidirect
28. C2×#17989171C2semidirect
29. C2×#17989170C2semidirect
30. C2×#17989121C2semidirect
31. C2×#17989121C2semidirect
32. C2×#529×C73C2semidirect
33. #17989338C22semidirect
34. #17989333C22semidirect
35. #17989332C22semidirect
36. #17989325C22semidirect
37. #17989321C22semidirect
38. #17989309C22semidirect
39. #17989300C22semidirect
40. #17989286C22semidirect
41. #17989282C22semidirect
42. #17989282C22semidirect
43. #17989278C22semidirect
44. #17989276C22semidirect
45. #17989270C22semidirect
46. #17989266C22semidirect
47. #17989265C22semidirect
48. #17989261C22semidirect
49. #17989203C22semidirect
50. #17989202C22semidirect
51. #17989201C22semidirect
52. #17989196C22semidirect
53. #17989194C22semidirect
54. #17989188C22semidirect
55. #17989185C22semidirect
56. #17989179C22semidirect
57. #17989178C22semidirect
58. #17989176C22semidirect
59. #17989171C22semidirect
60. #17989170C22semidirect
61. C2×#14556590C22semidirect
62. C2×#14556590C22semidirect
63. C2×#14556589C22semidirect
65. #17989121C22semidirect
66. #17989121C22semidirect
72. C2×#14556586C22semidirect
77. C2×#14556585C22semidirect
78. C2×#14556585C22semidirect
83. C2×#14556584C22semidirect
84. C2×#14556584C22semidirect
85. C2×#14556583C22semidirect
86. C2×#14556583C22semidirect
87. C2×#14556583C22semidirect
88. C2×#14556582C22semidirect
89. C2×#14556582C22semidirect
90. C2×#14556581C22semidirect
91. C2×#14556581C22semidirect
92. C2×#14556581C22semidirect
93. C2×#14556581C22semidirect
94. C2×#14556581C22semidirect
95. C2×#14556581C22semidirect
104. C2×#14556577C22semidirect
105. C2×#14556577C22semidirect
106. C2×#14556577C22semidirect
112. C2×#14556576C22semidirect
119. C2×#14556574C22semidirect
120. C2×#14556574C22semidirect
126. C2×#14556573C22semidirect
128. C2×#14556572C22semidirect
129. C2×#14556571C22semidirect
130. C2×#14556571C22semidirect
132. C2×#14556570C22semidirect
133. C2×#14556570C22semidirect
139. C2×#14556569C22semidirect
142. C2×#14556568C22semidirect
143. C2×#14556568C22semidirect
145. C2×#14556567C22semidirect
150. C2×#14556565C22semidirect
156. C2×#14556564C22semidirect
162. C2×#14556562C22semidirect
167. C2×C4×Dic146C22semidirect
168. C2×C4×Dic146C22semidirect
169. C2×C4×Dic146C22semidirect
170. C2×#14556556C22semidirect
171. C2×#14556556C22semidirect
176. C2×#14556553C22semidirect
181. C2×C4×C22⋊D73C22semidirect
182. C2×C4×C22⋊D73C22semidirect
185. C2×#14556551C22semidirect
186. C2×#14556551C22semidirect
191. C2×#14556548C22semidirect
192. C2×#14556548C22semidirect
193. C2×#14556548C22semidirect
194. C2×#14556548C22semidirect
196. C2×#14556547C22semidirect
197. C22×#11924007C22semidirect
198. C2×C4⋊C4×D73C22semidirect
199. C2×C4⋊C4×D73C22semidirect
203. #529×C73C22semidirect
205. C2×#126×C73C22semidirect
206. C2×#125×C73C22semidirect
209. C2×#123×C73C22semidirect
210. C2×C22⋊Q8×C73C22semidirect
212. C2×C4×Q8×C73C22semidirect
215. C2×C4×D4×C73C22semidirect
217. C2×#117×C73C22semidirect
218. C22×C42×C73C22semidirect
253. #14556590C23semidirect
254. #14556590C23semidirect
255. #14556589C23semidirect
262. #14556586C23semidirect
267. #14556585C23semidirect
268. #14556585C23semidirect
273. #14556584C23semidirect
274. #14556584C23semidirect
275. #14556583C23semidirect
276. #14556583C23semidirect
277. #14556583C23semidirect
278. #14556582C23semidirect
279. #14556582C23semidirect
280. #14556581C23semidirect
281. #14556581C23semidirect
282. #14556581C23semidirect
283. #14556581C23semidirect
284. #14556581C23semidirect
285. #14556581C23semidirect
294. #14556577C23semidirect
295. #14556577C23semidirect
296. #14556577C23semidirect
302. #14556576C23semidirect
309. #14556574C23semidirect
310. #14556574C23semidirect
316. #14556573C23semidirect
318. #14556572C23semidirect
319. #14556571C23semidirect
320. #14556571C23semidirect
322. #14556570C23semidirect
323. #14556570C23semidirect
329. #14556569C23semidirect
332. #14556568C23semidirect
333. #14556568C23semidirect
335. #14556567C23semidirect
340. #14556565C23semidirect
346. #14556564C23semidirect
352. #14556562C23semidirect
357. C4×Dic146C23semidirect
358. C4×Dic146C23semidirect
359. C4×Dic146C23semidirect
360. #14556556C23semidirect
361. #14556556C23semidirect
366. #14556553C23semidirect
371. C4×C22⋊D73C23semidirect
372. C4×C22⋊D73C23semidirect
375. #14556551C23semidirect
376. #14556551C23semidirect
381. #14556548C23semidirect
382. #14556548C23semidirect
383. #14556548C23semidirect
384. #14556548C23semidirect
386. #14556547C23semidirect
425. C2×#11924007C23semidirect
426. C4⋊C4×D73C23semidirect
427. C4⋊C4×D73C23semidirect
489. #126×C73C23semidirect
490. #125×C73C23semidirect
493. #123×C73C23semidirect
494. C22⋊Q8×C73C23semidirect
496. C4×Q8×C73C23semidirect
499. C4×D4×C73C23semidirect
501. #117×C73C23semidirect
528. C2×C42×C73C23semidirect
944. C2×C73#3566semidirect
983. C2×#529D73semidirect
984. C73C2×#3566semidirect
1019. #529C2×D73semidirect
1039. C2×#126C2×D73semidirect
1051. C2×#125C2×D73semidirect
1087. C2×#123C2×D73semidirect
1105. C2×C22⋊Q8C2×D73semidirect
1133. C2×C4×Q8C2×D73semidirect
1151. C2×C4×D4C2×D73semidirect
1163. C2×#117C2×D73semidirect
1170. C22×C42C2×D73semidirect
1237. #126C22×D73semidirect
1249. #125C22×D73semidirect
1285. #123C22×D73semidirect
1303. C22⋊Q8C22×D73semidirect
1331. C4×Q8C22×D73semidirect
1349. C4×D4C22×D73semidirect
1361. #117C22×D73semidirect
1480. C2×C42C22×D73semidirect
1899. C2#22624599direct (N × H)

Maximal subgroups

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

subgroupindex
#226245992
C2×#179893382
C2×#179893332
C2×#179893322
C2×#179893252
C2×#179893212
C2×#179893092
C2×#179893002
C2×#179892862
C2×#179892822
C2×#179892782
C2×#179892762
C2×#179892702
C2×#179892662
C2×#179892652
C2×#179892612
C2×#179892032
C2×#179892022
C2×#179892012
C2×#179891962
C2×#179891942
C2×#179891882
C2×#179891852
C2×#179891792
C2×#179891782
C2×#179891762
C2×#179891712
C2×#179891702
C2×#179891212
C2×#529×C732
C2×#356673