Finite Group Databasebeta

← C2×#22624546 #33993373

Subgroups — C2×#22624546 #33993373

Order 18688.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624546C2132yesmaximal, direct product factor
2C2×#17989339C211yesmaximal, characteristic, complemented
3C2×#17989339C211yesmaximal, characteristic, complemented
4C2×#17989336C211yesmaximal, characteristic, complemented
5C2×#17989311C211yesmaximal, characteristic, complemented
6C2×#17989306C211yesmaximal, characteristic, complemented
7C2×#17989295C211yesmaximal, characteristic, complemented
8C2×#17989293C211yesmaximal, characteristic, complemented
9C2×#17989279C211yesmaximal, characteristic, complemented
10C2×#17989275C211yesmaximal, characteristic, complemented
11C2×#17989273C211yesmaximal, characteristic, complemented
12C2×#17989271C211yesmaximal, characteristic, complemented
13C2×#17989265C211yesmaximal, characteristic, complemented
14C2×#17989264C211yesmaximal, characteristic, complemented
15C2×#17989262C211yesmaximal, characteristic, complemented
16C2×#17989260C211yesmaximal, characteristic, complemented
17C2×#17989214C211yesmaximal, characteristic, complemented
18C2×#17989212C211yesmaximal, characteristic, complemented
19C2×#17989207C211yesmaximal, characteristic, complemented
20C2×#17989205C211yesmaximal, characteristic, complemented
21C2×#17989197C211yesmaximal, characteristic, complemented
22C2×#17989196C211yesmaximal, characteristic, complemented
23C2×#17989196C211yesmaximal, characteristic, complemented
24C2×#17989194C211yesmaximal, characteristic, complemented
25C2×#17989183C211yesmaximal, characteristic, complemented
26C2×#17989181C211yesmaximal, characteristic, complemented
27C2×#17989178C211yesmaximal, characteristic, complemented
28C2×#17989171C211yesmaximal, characteristic
29C2×#17989142C211yesmaximal, characteristic, complemented
30C2×#17989120C211yesmaximal, characteristic, complemented
31C2×#126×D73C211yesmaximal, characteristic, complemented
32C2×#563×C73C211yesmaximal, characteristic, complemented
33#17989339C22116yescomplemented
34#17989339C22116yescomplemented
35#17989336C22116yescomplemented
36#17989311C22116yescomplemented
37#17989306C22116yescomplemented
38#17989295C22116yescomplemented
39#17989293C22116yescomplemented
40#17989279C22116yescomplemented
41#17989275C22116yescomplemented
42#17989273C22116yescomplemented
43#17989271C22116yescomplemented
44#17989265C22116yescomplemented
45#17989264C22116yescomplemented
46#17989262C22116yescomplemented
47#17989260C22116yescomplemented
48#17989214C22116yescomplemented
49#17989212C22116yescomplemented
50#17989207C22116yescomplemented
51#17989205C22116yescomplemented
52#17989197C22116yescomplemented
53#17989196C22116yescomplemented
54#17989196C22116yescomplemented
55#17989194C22116yescomplemented
56#17989183C22116yescomplemented
57#17989181C22116yescomplemented
58#17989178C22116yescomplemented
59#17989171C22116yes—
60#17989142C22116yescomplemented
61C2×#14556591C2211yescharacteristic, complemented
62C2×#14556590C2211yescharacteristic, complemented
63C2×#14556590C2211yescharacteristic, complemented
64C2×#14556590C2211yescharacteristic, complemented
65C2×#14556589C2211yescharacteristic, complemented
66C2×#14556589C2211yescharacteristic, complemented
67#17989120C22116yescomplemented
68C2×#14556586C2211yescharacteristic
69C2×#14556586C2211yescharacteristic
70C2×#14556586C2211yescharacteristic
71C2×#14556586C2211yescharacteristic
72C2×#14556586C2211yescharacteristic
73C2×#14556586C2211yescharacteristic
74C2×#14556586C2211yescharacteristic
75C2×#14556586C2211yescharacteristic, complemented
76C2×#14556586C2211yescharacteristic, complemented
77C2×#14556586C2211yescharacteristic, complemented
78C2×#14556585C2211yescharacteristic
79C2×#14556585C2211yescharacteristic
80C2×#14556585C2211yescharacteristic, complemented
81C2×#14556584C2211yescharacteristic
82C2×#14556584C2211yescharacteristic
83C2×#14556584C2211yescharacteristic
84C2×#14556584C2211yescharacteristic
85C2×#14556584C2211yescharacteristic
86C2×#14556584C2211yescharacteristic
87C2×#14556584C2211yescharacteristic
88C2×#14556584C2211yescharacteristic, complemented
89C2×#14556584C2211yescharacteristic, complemented
90#126×D73C22116yescomplemented
91C2×#14556583C2211yescharacteristic, complemented
92C2×#14556582C2211yescharacteristic, complemented
93C2×#14556582C2211yescharacteristic, complemented
94C2×#14556582C2211yescharacteristic, complemented
95C2×#14556582C2211yescharacteristic, complemented
96C2×#14556582C2211yescharacteristic, complemented
97C2×#14556582C2211yescharacteristic, complemented
98C2×#14556582C2211yescharacteristic, complemented
99C2×#14556581C2211yescharacteristic, complemented
100C2×#14556581C2211yescharacteristic, complemented
101C2×#14556581C2211yescharacteristic, complemented
102C2×#14556581C2211yescharacteristic, complemented
103C2×#14556581C2211yescharacteristic, complemented
104C2×#14556581C2211yescharacteristic, complemented
105C2×#14556581C2211yescharacteristic, complemented
106C2×#14556581C2211yescharacteristic, complemented
107C2×#14556581C2211yescharacteristic, complemented
108C2×#14556580C2211yescharacteristic
109C2×#14556580C2211yescharacteristic
110C2×#14556578C2211yescharacteristic
111C2×#14556577C2211yescharacteristic
112C2×#14556577C2211yescharacteristic
113C2×#14556577C2211yescharacteristic, complemented
114C2×#14556576C2211yescharacteristic
115C2×#14556576C2211yescharacteristic
116C2×#14556576C2211yescharacteristic
117C2×#14556576C2211yescharacteristic
118C2×#14556575C2211yescharacteristic
119C2×#14556575C2211yescharacteristic
120C2×#14556575C2211yescharacteristic
121C2×#14556574C2211yescharacteristic, complemented
122C2×#14556573C2211yescharacteristic
123C2×#14556573C2211yescharacteristic
124C2×#14556573C2211yescharacteristic
125C2×#14556573C2211yescharacteristic
126C2×#14556573C2211yescharacteristic
127C2×#14556573C2211yescharacteristic, complemented
128C2×#14556571C2211yescharacteristic
129C2×#14556571C2211yescharacteristic
130C2×#14556571C2211yescharacteristic
131C2×#14556571C2211yescharacteristic
132C2×#14556571C2211yescharacteristic, complemented
133C2×#14556571C2211yescharacteristic, complemented
134C2×#14556570C2211yescharacteristic
135C2×#14556569C2211yescharacteristic
136C2×#14556569C2211yescharacteristic
137C2×#14556569C2211yescharacteristic
138C2×#14556569C2211yescharacteristic
139C2×#14556569C2211yescharacteristic
140C2×#14556569C2211yescharacteristic
141C2×#14556569C2211yescharacteristic
142C2×#14556569C2211yescharacteristic, complemented
143C2×#14556569C2211yescharacteristic, complemented
144C2×#14556568C2211yescharacteristic
145C2×#14556568C2211yescharacteristic
146C2×#14556568C2211yescharacteristic
147C2×#14556568C2211yescharacteristic, complemented
148C2×#14556568C2211yescharacteristic, complemented
149C2×#14556568C2211yescharacteristic, complemented
150C2×#14556567C2211yescharacteristic
151C2×#14556567C2211yescharacteristic
152C2×#14556567C2211yescharacteristic
153C2×#14556567C2211yescharacteristic
154C2×#14556567C2211yescharacteristic, complemented
155C2×#14556564C2211yescharacteristic
156C2×#14556564C2211yescharacteristic
157C2×#14556563C2211yescharacteristic
158C2×#14556561C2211yescharacteristic
159C2×#14556559C2211yescharacteristic
160C2×Q8×Dic73C2211yescharacteristic, complemented
161C2×Q8×Dic73C2211yescharacteristic, complemented
162C2×Q8×Dic73C2211yescharacteristic, complemented
163C2×C4×Dic146C2211yescharacteristic, complemented
164C2×C4×Dic146C2211yescharacteristic, complemented
165C2×C4×Dic146C2211yescharacteristic, complemented
166C2×#14556556C2211yescharacteristic, complemented
167C2×#14556556C2211yescharacteristic, complemented
168C2×#14556556C2211yescharacteristic, complemented
169C2×C4×D292C2211yescharacteristic
170C2×C4×D292C2211yescharacteristic
171C2×D4×Dic73C2211yescharacteristic
172C2×#14556553C2211yescharacteristic
173C2×#14556553C2211yescharacteristic
174C2×C4×C22⋊D73C2211yescharacteristic
175C2×C4×C22⋊D73C2211yescharacteristic
176C2×C4×C22⋊D73C2211yescharacteristic
177C2×#14556551C2211yescharacteristic
178C2×#14556551C2211yescharacteristic
179C2×#14556551C2211yescharacteristic, complemented
180C2×#14556550C2211yescharacteristic
181C2×#14556549C2211yescharacteristic
182C2×#14556549C2211yescharacteristic
183C2×#14556549C2211yescharacteristic
184C2×#14556549C2211yescharacteristic
185C2×#14556549C2211yescharacteristic
186C2×#14556549C2211yescharacteristic, complemented
187C2×#14556549C2211yescharacteristic, complemented
188C2×#14556548C2211yescharacteristic
189C2×#14556547C2211yescharacteristic
190C2×#14556547C2211yescharacteristic, complemented
191C2×#14556547C2211yescharacteristic, complemented
192C22×C4⋊Dic73C2211yescharacteristic, complemented
193C2×C4⋊C4×D73C2211yescharacteristic
194C2×C4⋊C4×D73C2211yescharacteristic
195C2×C4⋊C4×D73C2211yescharacteristic
196C2×C4⋊C4×D73C2211yescharacteristic, complemented
197C22×#11924005C2211yescharacteristic
198C2×C22⋊C4×D73C2211yescharacteristic
199C2×C22⋊C4×D73C2211yescharacteristic
200C2×C22⋊C4×D73C2211yescharacteristic
201C2×C22⋊C4×D73C2211yescharacteristic
202C2×C42×D73C2211yescharacteristic
203#563×C73C22116yescomplemented
204C2×C4⋊Q8×C73C2211yescharacteristic, complemented
205C2×C4⋊Q8×C73C2211yescharacteristic, complemented
206C2×#126×C73C2211yescharacteristic
207C2×#126×C73C2211yescharacteristic
208C2×#126×C73C2211yescharacteristic, complemented
209C2×#126×C73C2211yescharacteristic, complemented
210C2×#125×C73C2211yescharacteristic, complemented
211C2×#125×C73C2211yescharacteristic, complemented
212C2×#124×C73C2211yescharacteristic
213C2×#123×C73C2211yescharacteristic
214C2×#123×C73C2211yescharacteristic
215C2×C22⋊Q8×C73C2211yescharacteristic
216C2×C22⋊Q8×C73C2211yescharacteristic
217C2×C22⋊Q8×C73C2211yescharacteristic, complemented
218C2×C22⋊Q8×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C22×Dic146C2311yescharacteristic
224C22×Dic146C2311yescharacteristic
225C22×Dic146C2311yescharacteristic
226C22×D292C2311yescharacteristic
227C22×D292C2311yescharacteristic
228C22×C22⋊D73C2311yescharacteristic
229C22×C22⋊D73C2311yescharacteristic
230C22×C22⋊D73C2311yescharacteristic
231C22×C22⋊D73C2311yescharacteristic
232C23×Dic73C2311yescharacteristic
233C23×Dic73C2311yescharacteristic
234C23×Dic73C2311yescharacteristic
235C22×C4×D73C2311yescharacteristic
236C22×C4×D73C2311yescharacteristic
237C22×C4×D73C2311yescharacteristic
238C22×C4×D73C2311yescharacteristic
239C22×C4×D73C2311yescharacteristic
240C22×C4×D73C2311yescharacteristic
241C22×C4×D73C2311yescharacteristic
242C22×C4×D73C2311yescharacteristic
243C22×C4×D73C2311yescharacteristic
244C22×C4×D73C2311yescharacteristic
245C22×C4×D73C2311yescharacteristic
246#14556591C2318yescomplemented
247#14556590C2318yescomplemented
248#14556590C2318yescomplemented
249#14556590C2318yescomplemented
250#14556589C2318yescomplemented
251#14556589C2318yescomplemented
252#14556586C2318yes—
253#14556586C2318yes—
254#14556586C2318yes—
255#14556586C2318yes—
256#14556586C2318yes—
257#14556586C2318yes—
258#14556586C2318yes—
259#14556586C2318yescomplemented
260#14556586C2318yescomplemented
261#14556586C2318yescomplemented
262#14556585C2318yes—
263#14556585C2318yes—
264#14556585C2318yescomplemented
265#14556584C2318yes—
266#14556584C2318yes—
267#14556584C2318yes—
268#14556584C2318yes—
269#14556584C2318yes—
270#14556584C2318yes—
271#14556584C2318yes—
272#14556584C2318yescomplemented
273#14556584C2318yescomplemented
274#14556583C2318yescomplemented
275#14556582C2318yescomplemented
276#14556582C2318yescomplemented
277#14556582C2318yescomplemented
278#14556582C2318yescomplemented
279#14556582C2318yescomplemented
280#14556582C2318yescomplemented
281#14556582C2318yescomplemented
282#14556581C2318yescomplemented
283#14556581C2318yescomplemented
284#14556581C2318yescomplemented
285#14556581C2318yescomplemented
286#14556581C2318yescomplemented
287#14556581C2318yescomplemented
288#14556581C2318yescomplemented
289#14556581C2318yescomplemented
290#14556581C2318yescomplemented
291#14556580C2318yes—
292#14556580C2318yes—
293#14556578C2318yes—
294#14556577C2318yes—
295#14556577C2318yes—
296#14556577C2318yescomplemented
297#14556576C2318yes—
298#14556576C2318yes—
299#14556576C2318yes—
300#14556576C2318yes—
301#14556575C2318yes—
302#14556575C2318yes—
303#14556575C2318yes—
304#14556574C2318yescomplemented
305#14556573C2318yes—
306#14556573C2318yes—
307#14556573C2318yes—
308#14556573C2318yes—
309#14556573C2318yes—
310#14556573C2318yescomplemented
311#14556571C2318yes—
312#14556571C2318yes—
313#14556571C2318yes—
314#14556571C2318yes—
315#14556571C2318yescomplemented
316#14556571C2318yescomplemented
317#14556570C2318yes—
318#14556569C2318yes—
319#14556569C2318yes—
320#14556569C2318yes—
321#14556569C2318yes—
322#14556569C2318yes—
323#14556569C2318yes—
324#14556569C2318yes—
325#14556569C2318yescomplemented
326#14556569C2318yescomplemented
327#14556568C2318yes—
328#14556568C2318yes—
329#14556568C2318yes—
330#14556568C2318yescomplemented
331#14556568C2318yescomplemented
332#14556568C2318yescomplemented
333#14556567C2318yes—
334#14556567C2318yes—
335#14556567C2318yes—
336#14556567C2318yes—
337#14556567C2318yescomplemented
338#14556564C2318yes—
339#14556564C2318yes—
340#14556563C2318yes—
341#14556561C2318yes—
342#14556559C2318yes—
343Q8×Dic73C2318yescomplemented
344Q8×Dic73C2318yescomplemented
345Q8×Dic73C2318yescomplemented
346C4×Dic146C2318yescomplemented
347C4×Dic146C2318yescomplemented
348C4×Dic146C2318yescomplemented
349#14556556C2318yescomplemented
350#14556556C2318yescomplemented
351#14556556C2318yescomplemented
352C4×D292C2318yes—
353C4×D292C2318yes—
354D4×Dic73C2318yes—
355#14556553C2318yes—
356#14556553C2318yes—
357C4×C22⋊D73C2318yes—
358C4×C22⋊D73C2318yes—
359C4×C22⋊D73C2318yes—
360#14556551C2318yes—
361#14556551C2318yes—
362#14556551C2318yescomplemented
363#14556550C2318yes—
364#14556549C2318yes—
365#14556549C2318yes—
366#14556549C2318yes—
367#14556549C2318yes—
368#14556549C2318yes—
369#14556549C2318yescomplemented
370#14556549C2318yescomplemented
371#14556548C2318yes—
372#14556547C2318yes—
373#14556547C2318yescomplemented
374#14556547C2318yescomplemented
375C2×C4⋊Dic73C2311yescharacteristic
376C2×C4⋊Dic73C2311yescharacteristic
377C2×C4⋊Dic73C2311yescharacteristic
378C2×C4⋊Dic73C2311yescharacteristic
379C2×C4⋊Dic73C2311yescharacteristic
380C2×C4⋊Dic73C2311yescharacteristic
381C2×C4⋊Dic73C2311yescharacteristic
382C2×C4⋊Dic73C2311yescharacteristic
383C2×C4⋊Dic73C2311yescharacteristic
384C2×C4⋊Dic73C2311yescharacteristic
385C2×C4⋊Dic73C2311yescharacteristic
386C2×C4⋊Dic73C2311yescharacteristic
387C2×C4⋊Dic73C2311yescharacteristic
388C2×C4⋊Dic73C2311yescharacteristic
389C2×C4⋊Dic73C2311yescharacteristic
390C2×C4⋊Dic73C2311yescharacteristic
391C2×C4⋊Dic73C2311yescharacteristic
392C2×C4⋊Dic73C2311yescharacteristic
393C2×C4⋊Dic73C2318yescomplemented
394C2×#11924007C2311yescharacteristic
395C2×#11924007C2311yescharacteristic
396C2×#11924007C2311yescharacteristic
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
422C4⋊C4×D73C2318yes—
423C4⋊C4×D73C2318yes—
424C4⋊C4×D73C2318yes—
425C4⋊C4×D73C2318yescomplemented
426C2×C22⋊Dic73C2311yescharacteristic
427C2×C22⋊Dic73C2311yescharacteristic
428C2×C22⋊Dic73C2311yescharacteristic
429C2×C22⋊Dic73C2311yescharacteristic
430C2×C22⋊Dic73C2311yescharacteristic
431C2×C22⋊Dic73C2311yescharacteristic
432C2×C22⋊Dic73C2311yescharacteristic
433C2×C22⋊Dic73C2311yescharacteristic
434C2×#11924005C2318yes—
435C2×#11924005C2311yescharacteristic
436C2×#11924005C2311yescharacteristic
437C2×#11924005C2311yescharacteristic
438C2×#11924005C2311yescharacteristic
439C2×#11924005C2311yescharacteristic
440C2×#11924005C2311yescharacteristic
441C2×#11924005C2311yescharacteristic
442C2×#11924005C2311yescharacteristic
443C2×#11924005C2311yescharacteristic
444C2×#11924005C2311yescharacteristic
445C2×#11924005C2311yescharacteristic
446C2×#11924005C2311yescharacteristic
447C2×#11924005C2311yescharacteristic
448C2×#11924005C2311yescharacteristic
449C2×#11924005C2311yescharacteristic
450C2×#11924005C2311yescharacteristic
451C2×#11924005C2311yescharacteristic
452C2×#11924005C2311yescharacteristic
453C2×#11924005C2311yescharacteristic
454C2×#11924005C2311yescharacteristic
455C2×#11924005C2311yescharacteristic
456C2×#11924005C2311yescharacteristic
457C2×#11924005C2311yescharacteristic
458C2×#11924005C2311yescharacteristic
459C22⋊C4×D73C2318yes—
460C22⋊C4×D73C2318yes—
461C22⋊C4×D73C2318yes—
462C22⋊C4×D73C2318yes—
463C2×C4×Dic73C2311yescharacteristic
464C2×C4×Dic73C2311yescharacteristic
465C2×C4×Dic73C2311yescharacteristic
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
478C42×D73C2318yes—
479C22×Q8×C73C2311yescharacteristic
480C22×Q8×C73C2311yescharacteristic
481C22×Q8×C73C2311yescharacteristic
482C22×D4×C73C2311yescharacteristic
483C23×C4×C73C2311yescharacteristic
484C23×C4×C73C2311yescharacteristic
485C4⋊Q8×C73C2318yescomplemented
486C4⋊Q8×C73C2318yescomplemented
487#126×C73C2318yes—
488#126×C73C2318yes—
489#126×C73C2318yescomplemented
490#126×C73C2318yescomplemented
491#125×C73C2318yescomplemented
492#125×C73C2318yescomplemented
493#124×C73C2318yes—
494#123×C73C2318yes—
495#123×C73C2318yes—
496C22⋊Q8×C73C2318yes—
497C22⋊Q8×C73C2318yes—
498C22⋊Q8×C73C2318yescomplemented
499C22⋊Q8×C73C2318yescomplemented
500C2×C4⋊C4×C73C2311yescharacteristic
501C2×C4⋊C4×C73C2311yescharacteristic
502C2×C4⋊C4×C73C2311yescharacteristic
503C2×C4⋊C4×C73C2311yescharacteristic
504C2×C4⋊C4×C73C2311yescharacteristic
505C2×C4⋊C4×C73C2311yescharacteristic
506C2×C4⋊C4×C73C2311yescharacteristic
507C2×C4⋊C4×C73C2311yescharacteristic
508C2×C4⋊C4×C73C2311yescharacteristic
509C2×C4⋊C4×C73C2311yescharacteristic
510C2×C4⋊C4×C73C2311yescharacteristic
511C2×C4⋊C4×C73C2311yescharacteristic
512C2×C4⋊C4×C73C2311yescharacteristic
513C2×C4⋊C4×C73C2311yescharacteristic
514C2×C4⋊C4×C73C2311yescharacteristic
515C2×C4⋊C4×C73C2311yescharacteristic
516C2×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×C22⋊C4×C73C2311yescharacteristic
526C2×C42×C73C2311yescharacteristic
527C2×C42×C73C2311yescharacteristic
528C2×C42×C73C2311yescharacteristic
529C23×D73—24no—
530C23×D73—42no—
531C23×D73—42no—
532C23×D73C2411yescharacteristic
533C23×D73C2411yescharacteristic
534C23×D73C2411yescharacteristic
535C23×D73C2414yes—
536C2×Dic146—42no—
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×Dic146C2414yes—
548C2×D292—24no—
549C2×D292—42no—
550C2×D292C2414yes—
551C2×D292C2414yes—
552C2×C22⋊D73—24no—
553C2×C22⋊D73—42no—
554C2×C22⋊D73—42no—
555C2×C22⋊D73—42no—
556C2×C22⋊D73C2414yes—
557C2×C22⋊D73C2414yes—
558C2×C22⋊D73C2414yes—
559C2×C22⋊D73C2414yes—
560C22×Dic73—42no—
561C22×Dic73—42no—
562C22×Dic73—42no—
563C22×Dic73C2411yescharacteristic
564C22×Dic73C2411yescharacteristic
565C22×Dic73C2411yescharacteristic
566C22×Dic73C2411yescharacteristic
567C22×Dic73C2411yescharacteristic
568C22×Dic73C2411yescharacteristic
569C22×Dic73C2411yescharacteristic
570C22×Dic73C2411yescharacteristic
571C22×Dic73C2411yescharacteristic
572C22×Dic73C2411yescharacteristic
573C22×Dic73C2411yescharacteristic
574C22×Dic73C2411yescharacteristic
575C22×Dic73C2411yescharacteristic
576C22×Dic73C2414yes—
577C22×Dic73C2414yes—
578C22×Dic73C2414yes—
579C2×C4×D73—24no—
580C2×C4×D73—24no—
581C2×C4×D73—42no—
582C2×C4×D73—42no—
583C2×C4×D73—42no—
584C2×C4×D73—42no—
585C2×C4×D73—42no—
586C2×C4×D73—42no—
587C2×C4×D73—42no—
588C2×C4×D73—42no—
589C2×C4×D73—42no—
590C2×C4×D73C2414yes—
591C2×C4×D73C2414yes—
592C2×C4×D73C2414yes—
593C2×C4×D73C2414yes—
594C2×C4×D73C2414yes—
595C2×C4×D73C2414yes—
596C2×C4×D73C2414yes—
597C2×C4×D73C2414yes—
598C2×C4×D73C2414yes—
599C2×C4×D73C2414yes—
600C2×C4×D73C2414yes—
601C4⋊Dic73C2414yes—
602C4⋊Dic73C2414yes—
603C4⋊Dic73C2414yes—
604C4⋊Dic73C2414yes—
605C4⋊Dic73C2414yes—
606C4⋊Dic73C2414yes—
607C4⋊Dic73C2414yes—
608C4⋊Dic73C2414yes—
609C4⋊Dic73C2414yes—
610C4⋊Dic73C2414yes—
611C4⋊Dic73C2414yes—
612C4⋊Dic73C2414yes—
613C4⋊Dic73C2414yes—
614C4⋊Dic73C2414yes—
615C4⋊Dic73C2414yes—
616C4⋊Dic73C2414yes—
617C4⋊Dic73C2414yes—
618C4⋊Dic73C2414yes—
619#11924007C2414yes—
620#11924007C2414yes—
621#11924007C2414yes—
622#11924007C2414yes—
623#11924007C2414yes—
624#11924007C2414yes—
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—
647C22⋊Dic73C2414yes—
648C22⋊Dic73C2414yes—
649C22⋊Dic73C2414yes—
650C22⋊Dic73C2414yes—
651C22⋊Dic73C2414yes—
652C22⋊Dic73C2414yes—
653C22⋊Dic73C2414yes—
654C22⋊Dic73C2414yes—
655#11924005C2414yes—
656#11924005C2414yes—
657#11924005C2414yes—
658#11924005C2414yes—
659#11924005C2414yes—
660#11924005C2414yes—
661#11924005C2414yes—
662#11924005C2414yes—
663#11924005C2414yes—
664#11924005C2414yes—
665#11924005C2414yes—
666#11924005C2414yes—
667#11924005C2414yes—
668#11924005C2414yes—
669#11924005C2414yes—
670#11924005C2414yes—
671#11924005C2414yes—
672#11924005C2414yes—
673#11924005C2414yes—
674#11924005C2414yes—
675#11924005C2414yes—
676#11924005C2414yes—
677#11924005C2414yes—
678#11924005C2414yes—
679C4×Dic73C2414yes—
680C4×Dic73C2414yes—
681C4×Dic73C2414yes—
682C4×Dic73C2414yes—
683C4×Dic73C2414yes—
684C4×Dic73C2414yes—
685C4×Dic73C2414yes—
686C4×Dic73C2414yes—
687C4×Dic73C2414yes—
688C4×Dic73C2414yes—
689C4×Dic73C2414yes—
690C4×Dic73C2414yes—
691C4×Dic73C2414yes—
692C4×Dic73C2414yes—
693C4×Dic73C2414yes—
694C24×C73C2411yescharacteristic
695C24×C73C2411yescharacteristic
696C2×Q8×C73—42no—
697C2×Q8×C73—42no—
698C2×Q8×C73—42no—
699C2×Q8×C73C2414yes—
700C2×Q8×C73C2414yes—
701C2×Q8×C73C2414yes—
702C2×D4×C73—42no—
703C2×D4×C73C2414yes—
704C22×C4×C73—42no—
705C22×C4×C73—42no—
706C22×C4×C73C2411yescharacteristic
707C22×C4×C73C2411yescharacteristic
708C22×C4×C73C2411yescharacteristic
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711C22×C4×C73C2411yescharacteristic
712C22×C4×C73C2411yescharacteristic
713C22×C4×C73C2411yescharacteristic
714C22×C4×C73C2411yescharacteristic
715C22×C4×C73C2411yescharacteristic
716C22×C4×C73C2411yescharacteristic
717C22×C4×C73C2411yescharacteristic
718C22×C4×C73C2411yescharacteristic
719C22×C4×C73C2414yes—
720C22×C4×C73C2414yes—
721C4⋊C4×C73C2414yes—
722C4⋊C4×C73C2414yes—
723C4⋊C4×C73C2414yes—
724C4⋊C4×C73C2414yes—
725C4⋊C4×C73C2414yes—
726C4⋊C4×C73C2414yes—
727C4⋊C4×C73C2414yes—
728C4⋊C4×C73C2414yes—
729C4⋊C4×C73C2414yes—
730C4⋊C4×C73C2414yes—
731C4⋊C4×C73C2414yes—
732C4⋊C4×C73C2414yes—
733C4⋊C4×C73C2414yes—
734C4⋊C4×C73C2414yes—
735C4⋊C4×C73C2414yes—
736C4⋊C4×C73C2414yes—
737C22⋊C4×C73C2414yes—
738C22⋊C4×C73C2414yes—
739C22⋊C4×C73C2414yes—
740C22⋊C4×C73C2414yes—
741C22⋊C4×C73C2414yes—
742C22⋊C4×C73C2414yes—
743C22⋊C4×C73C2414yes—
744C22⋊C4×C73C2414yes—
745C22⋊C4×C73C2414yes—
746C22⋊C4×C73C2414yes—
747C42×C73C2414yes—
748C42×C73C2414yes—
749C42×C73C2414yes—
750C23×C73—22no—
751C23×C73—22no—
752C23×C73—22no—
753C23×C73—22no—
754C23×C73—22no—
755C23×C73—22no—
756C23×C73C2512yes—
757C23×C73C2512yes—
758C23×C73C2511yescharacteristic
759C22×D73—22no—
760C22×D73—22no—
761C22×D73—22no—
762C22×D73—22no—
763C22×D73—22no—
764C22×D73—22no—
765C22×D73—22no—
766C22×D73—22no—
767C22×D73—28no—
768C22×D73—44no—
769C22×D73—44no—
770C22×D73—88no—
771C22×D732−1+414yes—
772C22×D73C2512yes—
773C22×D73C2512yes—
774C22×D73C2512yes—
775Q8×C73—44no—
776Q8×C73—44no—
777Q8×C73—44no—
778D4×C73—44no—
779C2×C4×C73—22no—
780C2×C4×C73—22no—
781C2×C4×C73—22no—
782C2×C4×C73—22no—
783C2×C4×C73—22no—
784C2×C4×C73—22no—
785C2×C4×C73—22no—
786C2×C4×C73—22no—
787C2×C4×C73—22no—
788C2×C4×C73—22no—
789C2×C4×C73—22no—
790C2×C4×C73—22no—
791C2×C4×C73—22no—
792C2×C4×C73—44no—
793C2×C4×C73—44no—
794C2×C4×C73C2512yes—
795C2×C4×C73C2512yes—
796C2×C4×C73C2512yes—
797C2×C4×C73C2512yes—
798C2×C4×C73C2512yes—
799C2×C4×C73C2512yes—
800C2×C4×C73C2512yes—
801C2×C4×C73C2512yes—
802C2×C4×C73C2512yes—
803C2×C4×C73C2512yes—
804C2×C4×C73C2512yes—
805C2×C4×C73C2512yes—
806C2×C4×C73C2512yes—
807C22⋊D73—28no—
808C22⋊D73—44no—
809C22⋊D73—44no—
810C22⋊D73—44no—
811C2×Dic73—22no—
812C2×Dic73—22no—
813C2×Dic73—22no—
814C2×Dic73—22no—
815C2×Dic73—22no—
816C2×Dic73—22no—
817C2×Dic73—22no—
818C2×Dic73—22no—
819C2×Dic73—22no—
820C2×Dic73—22no—
821C2×Dic73—22no—
822C2×Dic73—22no—
823C2×Dic73—22no—
824C2×Dic73—44no—
825C2×Dic73—44no—
826C2×Dic73—44no—
827C2×Dic73C2512yes—
828C2×Dic73C2512yes—
829C2×Dic73C2512yes—
830C2×Dic73C2512yes—
831C2×Dic73C2512yes—
832C2×Dic73C2512yes—
833C2×Dic73C2512yes—
834C2×Dic73C2512yes—
835C2×Dic73C2512yes—
836C2×Dic73C2512yes—
837C2×Dic73C2512yes—
838C2×Dic73C2512yes—
839C2×Dic73C2512yes—
840D292—28no—
841D292—44no—
842C4×D73—28no—
843C4×D73—28no—
844C4×D73—44no—
845C4×D73—44no—
846C4×D73—44no—
847C4×D73—44no—
848C4×D73—44no—
849C4×D73—44no—
850C4×D73—44no—
851C4×D73—44no—
852C4×D73—44no—
853Dic146—44no—
854Dic146—44no—
855Dic146—44no—
856Dic146—44no—
857Dic146—44no—
858Dic146—44no—
859C22×C73—22no—
860C22×C73—22no—
861C22×C73—22no—
862C22×C73—22no—
863C22×C73—22no—
864C22×C73—22no—
865C22×C73—44no—
866C22×C73—44no—
867C22×C73C2×2−1+412yes—
868C22×C73#58512yes—
869C22×C73#58512yes—
870C22×C73C2611yescharacteristic
871C2×D73—22no—
872C2×D73—22no—
873C2×D73—28no—
874C2×D73—22no—
875C2×D73—22no—
876C2×D73—22no—
877C2×D73—22no—
878C2×D73—22no—
879C2×D73—22no—
880C2×D73—44no—
881C2×D73—44no—
882C2×D73—88no—
883C2×D73C2×2−1+414yes—
884C4×C73—22no—
885C4×C73—22no—
886C4×C73—22no—
887C4×C73—22no—
888C4×C73—22no—
889C4×C73—22no—
890C4×C73—22no—
891C4×C73—22no—
892C4×C73—22no—
893C4×C73—22no—
894C4×C73—22no—
895C4×C73—22no—
896C4×C73—22no—
897Dic73—22no—
898Dic73—22no—
899Dic73—22no—
900Dic73—22no—
901Dic73—22no—
902Dic73—22no—
903Dic73—22no—
904Dic73—22no—
905Dic73—22no—
906Dic73—22no—
907Dic73—22no—
908Dic73—22no—
909Dic73—22no—
910C2×#3564—731nomaximal, Sylow
911C2×C73—42no—
912C2×C73—42no—
913C2×C73#356414yescomplemented
914C2×C73C22×2−1+411yescharacteristic
915C2×C73C2×#58511yescharacteristic
916C2×C73C2×#58511yescharacteristic
917D73—24no—
918D73—42no—
919D73—42no—
920#3564—7332no—
921C2×#563—731no—
922C2×#563—731no—
923C2×#563—731no—
924C2×#563D7311yescharacteristic, complemented
925C2×#556—731no—
926C2×#556—731no—
927C2×#554—731no—
928C2×#554—731no—
929C2×#552—731no—
930C2×#552—731no—
931C2×#552—731no—
932C2×#552—731no—
933C2×#551—731no—
934C2×#551—731no—
935C2×#551—731no—
936C2×#551—731no—
937C2×#544—731no—
938C2×#543—731no—
939C2×#542—731no—
940C2×#542—731no—
941C2×#541—731no—
942C2×#541—731no—
943C2×#541—731no—
944C2×#541—731no—
945C2×#539—731no—
946C2×#539—731no—
947C2×#539—731no—
948C2×#538—731no—
949C2×#533—731no—
950C2×#529—731no—
951C22×#126—731no—
952C73C2×#356411yescharacteristic, complemented, Sylow
953#563—7316no—
954#563—7316no—
955#563—7316no—
956#563C2×D73116yescomplemented
957#556—7316no—
958#556—7316no—
959#554—7316no—
960#554—7316no—
961#552—7316no—
962#552—7316no—
963#552—7316no—
964#552—7316no—
965#551—7316no—
966#551—7316no—
967#551—7316no—
968#551—7316no—
969#544—7316no—
970#543—7316no—
971#542—7316no—
972#542—7316no—
973#541—7316no—
974#541—7316no—
975#541—7316no—
976#541—7316no—
977#539—7316no—
978#539—7316no—
979#539—7316no—
980#538—7316no—
981#533—7316no—
982C2×C4⋊Q8—731no—
983C2×C4⋊Q8—731no—
984C2×C4⋊Q8—731no—
985C2×C4⋊Q8—731no—
986C2×C4⋊Q8—731no—
987C2×C4⋊Q8—731no—
988C2×C4⋊Q8C2×D7311yescharacteristic, complemented
989C2×C4⋊Q8C2×D7311yescharacteristic, complemented
990#529—7316no—
991C2×#126—7316no—
992C2×#126—731no—
993C2×#126—731no—
994C2×#126—731no—
995C2×#126—731no—
996C2×#126—731no—
997C2×#126—731no—
998C2×#126—731no—
999C2×#126—731no—
1000C2×#126—731no—
1001C2×#126—731no—
1002C2×#126—731no—
1003C2×#126—731no—
1004C2×#126—731no—
1005C2×#126—731no—
1006C2×#126—731no—
1007C2×#126—731no—
1008C2×#126—731no—
1009C2×#126—731no—
1010C2×#126—731no—
1011C2×#126—731no—
1012C2×#126—731no—
1013C2×#126—731no—
1014C2×#126C2×D7311yescharacteristic
1015C2×#126C2×D7311yescharacteristic
1016C2×#126C2×D7311yescharacteristic, complemented
1017C2×#126C2×D7311yescharacteristic, complemented
1018C2×#125—731no—
1019C2×#125—731no—
1020C2×#125—731no—
1021C2×#125—731no—
1022C2×#125—731no—
1023C2×#125—731no—
1024C2×#125—731no—
1025C2×#125—731no—
1026C2×#125—731no—
1027C2×#125—731no—
1028C2×#125—731no—
1029C2×#125—731no—
1030C2×#125—731no—
1031C2×#125—731no—
1032C2×#125—731no—
1033C2×#125—731no—
1034C2×#125—731no—
1035C2×#125C2×D7311yescharacteristic, complemented
1036C2×#125C2×D7311yescharacteristic, complemented
1037C2×#124—731no—
1038C2×#124—731no—
1039C2×#124—731no—
1040C2×#124—731no—
1041C2×#124—731no—
1042C2×#124—731no—
1043C2×#124C2×D7311yescharacteristic
1044C2×#123—731no—
1045C2×#123—731no—
1046C2×#123—731no—
1047C2×#123—731no—
1048C2×#123—731no—
1049C2×#123—731no—
1050C2×#123—731no—
1051C2×#123—731no—
1052C2×#123—731no—
1053C2×#123—731no—
1054C2×#123—731no—
1055C2×#123—731no—
1056C2×#123—731no—
1057C2×#123—731no—
1058C2×#123C2×D7311yescharacteristic
1059C2×#123C2×D7311yescharacteristic
1060C2×C22⋊Q8—731no—
1061C2×C22⋊Q8—731no—
1062C2×C22⋊Q8—731no—
1063C2×C22⋊Q8—731no—
1064C2×C22⋊Q8—731no—
1065C2×C22⋊Q8—731no—
1066C2×C22⋊Q8—731no—
1067C2×C22⋊Q8—731no—
1068C2×C22⋊Q8—731no—
1069C2×C22⋊Q8—731no—
1070C2×C22⋊Q8—731no—
1071C2×C22⋊Q8—731no—
1072C2×C22⋊Q8—731no—
1073C2×C22⋊Q8—731no—
1074C2×C22⋊Q8—731no—
1075C2×C22⋊Q8—731no—
1076C2×C22⋊Q8—731no—
1077C2×C22⋊Q8—731no—
1078C2×C22⋊Q8—731no—
1079C2×C22⋊Q8—731no—
1080C2×C22⋊Q8—731no—
1081C2×C22⋊Q8—731no—
1082C2×C22⋊Q8—731no—
1083C2×C22⋊Q8—731no—
1084C2×C22⋊Q8—731no—
1085C2×C22⋊Q8—731no—
1086C2×C22⋊Q8—731no—
1087C2×C22⋊Q8C2×D7311yescharacteristic
1088C2×C22⋊Q8C2×D7311yescharacteristic
1089C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1090C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1091C2×#121—731no—
1092C2×#121—731no—
1093C2×#121—731no—
1094C2×#120—731no—
1095C2×#120—731no—
1096C2×C4×Q8—731no—
1097C2×C4×Q8—731no—
1098C2×C4×Q8—731no—
1099C2×C4×Q8—731no—
1100C2×C4×Q8—731no—
1101C2×C4×Q8—731no—
1102C2×C4×Q8—731no—
1103C2×C4×Q8—731no—
1104C2×C4×Q8—731no—
1105C2×C4×D4—731no—
1106C2×C4×D4—731no—
1107C2×C4×D4—731no—
1108C2×C4×D4—731no—
1109C2×C4×D4—731no—
1110C2×C4×D4—731no—
1111C2×C4×D4—731no—
1112C2×C4×D4—731no—
1113C2×C4×D4—731no—
1114C2×C4×D4—731no—
1115C2×C4×D4—731no—
1116C2×#117—731no—
1117C2×#117—731no—
1118C2×#117—731no—
1119C2×#117—731no—
1120C2×#117—731no—
1121C2×#117—731no—
1122C2×#117—731no—
1123C2×#117—731no—
1124C2×#117—731no—
1125C2×#117—731no—
1126C2×#117—731no—
1127C2×#117—731no—
1128C22×C4⋊C4—731no—
1129C22×C4⋊C4—731no—
1130C22×C4⋊C4—731no—
1131C22×C4⋊C4—731no—
1132C22×C4⋊C4—731no—
1133C22×C22⋊C4—731no—
1134C22×C22⋊C4—731no—
1135C22×C22⋊C4—731no—
1136C22×C22⋊C4—731no—
1137C22×C22⋊C4—731no—
1138C22×C42—731no—
1139C25—731no—
1140C22×Q8—731no—
1141C22×Q8—731no—
1142C22×Q8—731no—
1143C22×Q8—731no—
1144C22×Q8—731no—
1145C22×Q8—731no—
1146C22×Q8C22×D7311yescharacteristic
1147C22×Q8C22×D7311yescharacteristic
1148C22×Q8C22×D7311yescharacteristic
1149C22×D4—731no—
1150C22×D4—731no—
1151C22×D4—731no—
1152C22×D4—731no—
1153C22×D4—731no—
1154C22×D4—731no—
1155C22×D4C22×D7311yescharacteristic
1156C23×C4—731no—
1157C23×C4—731no—
1158C23×C4—731no—
1159C23×C4—731no—
1160C23×C4—731no—
1161C23×C4—731no—
1162C23×C4—731no—
1163C23×C4—731no—
1164C23×C4—731no—
1165C23×C4—731no—
1166C23×C4—731no—
1167C23×C4—731no—
1168C23×C4—731no—
1169C23×C4—731no—
1170C23×C4C22×D7311yescharacteristic
1171C23×C4C22×D7311yescharacteristic
1172C4⋊Q8—738no—
1173C4⋊Q8—738no—
1174C4⋊Q8—738no—
1175C4⋊Q8—738no—
1176C4⋊Q8—738no—
1177C4⋊Q8—738no—
1178C4⋊Q8C22×D7318yescomplemented
1179C4⋊Q8C22×D7318yescomplemented
1180#126—738no—
1181#126—738no—
1182#126—738no—
1183#126—738no—
1184#126—738no—
1185#126—738no—
1186#126—738no—
1187#126—738no—
1188#126—738no—
1189#126—738no—
1190#126—738no—
1191#126—738no—
1192#126—738no—
1193#126—738no—
1194#126—738no—
1195#126—738no—
1196#126—738no—
1197#126—738no—
1198#126—738no—
1199#126—738no—
1200#126—738no—
1201#126—738no—
1202#126C22×D7318yes—
1203#126C22×D7318yes—
1204#126C22×D7318yescomplemented
1205#126C22×D7318yescomplemented
1206#125—738no—
1207#125—738no—
1208#125—738no—
1209#125—738no—
1210#125—738no—
1211#125—738no—
1212#125—738no—
1213#125—738no—
1214#125—738no—
1215#125—738no—
1216#125—738no—
1217#125—738no—
1218#125—738no—
1219#125—738no—
1220#125—738no—
1221#125—738no—
1222#125—738no—
1223#125C22×D7318yescomplemented
1224#125C22×D7318yescomplemented
1225#124—738no—
1226#124—738no—
1227#124—738no—
1228#124—738no—
1229#124—738no—
1230#124—738no—
1231#124C22×D7318yes—
1232#123—738no—
1233#123—738no—
1234#123—738no—
1235#123—738no—
1236#123—738no—
1237#123—738no—
1238#123—738no—
1239#123—738no—
1240#123—738no—
1241#123—738no—
1242#123—738no—
1243#123—738no—
1244#123—738no—
1245#123—738no—
1246#123C22×D7318yes—
1247#123C22×D7318yes—
1248C22⋊Q8—738no—
1249C22⋊Q8—738no—
1250C22⋊Q8—738no—
1251C22⋊Q8—738no—
1252C22⋊Q8—738no—
1253C22⋊Q8—738no—
1254C22⋊Q8—738no—
1255C22⋊Q8—738no—
1256C22⋊Q8—738no—
1257C22⋊Q8—738no—
1258C22⋊Q8—738no—
1259C22⋊Q8—738no—
1260C22⋊Q8—738no—
1261C22⋊Q8—738no—
1262C22⋊Q8—738no—
1263C22⋊Q8—738no—
1264C22⋊Q8—738no—
1265C22⋊Q8—738no—
1266C22⋊Q8—738no—
1267C22⋊Q8—738no—
1268C22⋊Q8—738no—
1269C22⋊Q8—738no—
1270C22⋊Q8—738no—
1271C22⋊Q8—738no—
1272C22⋊Q8—738no—
1273C22⋊Q8—738no—
1274C22⋊Q8—738no—
1275C22⋊Q8C22×D7318yes—
1276C22⋊Q8C22×D7318yes—
1277C22⋊Q8C22×D7318yescomplemented
1278C22⋊Q8C22×D7318yescomplemented
1279#121—738no—
1280#121—738no—
1281#121—738no—
1282#120—738no—
1283#120—738no—
1284C4×Q8—738no—
1285C4×Q8—738no—
1286C4×Q8—738no—
1287C4×Q8—738no—
1288C4×Q8—738no—
1289C4×Q8—738no—
1290C4×Q8—738no—
1291C4×Q8—738no—
1292C4×Q8—738no—
1293C4×D4—738no—
1294C4×D4—738no—
1295C4×D4—738no—
1296C4×D4—738no—
1297C4×D4—738no—
1298C4×D4—738no—
1299C4×D4—738no—
1300C4×D4—738no—
1301C4×D4—738no—
1302C4×D4—738no—
1303C4×D4—738no—
1304#117—738no—
1305#117—738no—
1306#117—738no—
1307#117—738no—
1308#117—738no—
1309#117—738no—
1310#117—738no—
1311#117—738no—
1312#117—738no—
1313#117—738no—
1314#117—738no—
1315#117—738no—
1316C2×C4⋊C4—731no—
1317C2×C4⋊C4—731no—
1318C2×C4⋊C4—731no—
1319C2×C4⋊C4—731no—
1320C2×C4⋊C4—731no—
1321C2×C4⋊C4—731no—
1322C2×C4⋊C4—731no—
1323C2×C4⋊C4—731no—
1324C2×C4⋊C4—731no—
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—731no—
1327C2×C4⋊C4—731no—
1328C2×C4⋊C4—731no—
1329C2×C4⋊C4—731no—
1330C2×C4⋊C4—738no—
1331C2×C4⋊C4—731no—
1332C2×C4⋊C4—731no—
1333C2×C4⋊C4—731no—
1334C2×C4⋊C4—731no—
1335C2×C4⋊C4—731no—
1336C2×C4⋊C4—731no—
1337C2×C4⋊C4—731no—
1338C2×C4⋊C4—731no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—731no—
1341C2×C4⋊C4—731no—
1342C2×C4⋊C4—731no—
1343C2×C4⋊C4—731no—
1344C2×C4⋊C4—731no—
1345C2×C4⋊C4—731no—
1346C2×C4⋊C4—731no—
1347C2×C4⋊C4—731no—
1348C2×C4⋊C4—731no—
1349C2×C4⋊C4—731no—
1350C2×C4⋊C4—731no—
1351C2×C4⋊C4—731no—
1352C2×C4⋊C4—731no—
1353C2×C4⋊C4—731no—
1354C2×C4⋊C4—731no—
1355C2×C4⋊C4—731no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4—731no—
1358C2×C4⋊C4—731no—
1359C2×C4⋊C4—731no—
1360C2×C4⋊C4—731no—
1361C2×C4⋊C4—731no—
1362C2×C4⋊C4—731no—
1363C2×C4⋊C4—738no—
1364C2×C4⋊C4—738no—
1365C2×C4⋊C4—738no—
1366C2×C4⋊C4—738no—
1367C2×C4⋊C4C22×D7311yescharacteristic
1368C2×C4⋊C4C22×D7311yescharacteristic
1369C2×C4⋊C4C22×D7311yescharacteristic
1370C2×C4⋊C4C22×D7311yescharacteristic
1371C2×C4⋊C4C22×D7311yescharacteristic
1372C2×C4⋊C4C22×D7311yescharacteristic
1373C2×C4⋊C4C22×D7311yescharacteristic
1374C2×C4⋊C4C22×D7311yescharacteristic
1375C2×C4⋊C4C22×D7311yescharacteristic
1376C2×C4⋊C4C22×D7311yescharacteristic
1377C2×C4⋊C4C22×D7311yescharacteristic
1378C2×C4⋊C4C22×D7311yescharacteristic
1379C2×C4⋊C4C22×D7311yescharacteristic
1380C2×C4⋊C4C22×D7311yescharacteristic
1381C2×C4⋊C4C22×D7311yescharacteristic
1382C2×C4⋊C4C22×D7311yescharacteristic
1383C2×C22⋊C4—731no—
1384C2×C22⋊C4—731no—
1385C2×C22⋊C4—731no—
1386C2×C22⋊C4—731no—
1387C2×C22⋊C4—731no—
1388C2×C22⋊C4—731no—
1389C2×C22⋊C4—731no—
1390C2×C22⋊C4—731no—
1391C2×C22⋊C4—731no—
1392C2×C22⋊C4—731no—
1393C2×C22⋊C4—731no—
1394C2×C22⋊C4—731no—
1395C2×C22⋊C4—731no—
1396C2×C22⋊C4—731no—
1397C2×C22⋊C4—731no—
1398C2×C22⋊C4—731no—
1399C2×C22⋊C4—731no—
1400C2×C22⋊C4—731no—
1401C2×C22⋊C4—731no—
1402C2×C22⋊C4—731no—
1403C2×C22⋊C4—738no—
1404C2×C22⋊C4—731no—
1405C2×C22⋊C4—731no—
1406C2×C22⋊C4—731no—
1407C2×C22⋊C4—731no—
1408C2×C22⋊C4—731no—
1409C2×C22⋊C4—731no—
1410C2×C22⋊C4—731no—
1411C2×C22⋊C4—731no—
1412C2×C22⋊C4—731no—
1413C2×C22⋊C4—731no—
1414C2×C22⋊C4—731no—
1415C2×C22⋊C4—731no—
1416C2×C22⋊C4—738no—
1417C2×C22⋊C4—738no—
1418C2×C22⋊C4—738no—
1419C2×C22⋊C4—738no—
1420C2×C22⋊C4C22×D7311yescharacteristic
1421C2×C22⋊C4C22×D7311yescharacteristic
1422C2×C22⋊C4C22×D7311yescharacteristic
1423C2×C22⋊C4C22×D7311yescharacteristic
1424C2×C22⋊C4C22×D7311yescharacteristic
1425C2×C22⋊C4C22×D7311yescharacteristic
1426C2×C22⋊C4C22×D7311yescharacteristic
1427C2×C22⋊C4C22×D7311yescharacteristic
1428C2×C22⋊C4C22×D7311yescharacteristic
1429C2×C22⋊C4C22×D7311yescharacteristic
1430C2×C42—731no—
1431C2×C42—731no—
1432C2×C42—731no—
1433C2×C42—731no—
1434C2×C42—731no—
1435C2×C42—731no—
1436C2×C42—731no—
1437C2×C42—731no—
1438C2×C42—731no—
1439C2×C42—731no—
1440C2×C42—731no—
1441C2×C42—731no—
1442C2×C42—731no—
1443C2×C42—731no—
1444C2×C42—731no—
1445C2×C42—738no—
1446C2×C42C22×D7311yescharacteristic
1447C2×C42C22×D7311yescharacteristic
1448C2×C42C22×D7311yescharacteristic
1449C24—2922no—
1450C24—2922no—
1451C24—734no—
1452C24—731no—
1453C24—731no—
1454C24—731no—
1455C24—1464no—
1456C24C23×D7311yescharacteristic
1457C24C23×D7311yescharacteristic
1458C2×Q8—42no—
1459C2×Q8—42no—
1460C2×Q8—42no—
1461C2×Q8—2922no—
1462C2×Q8—2922no—
1463C2×Q8—2922no—
1464C2×Q8—2922no—
1465C2×Q8—2922no—
1466C2×Q8—2922no—
1467C2×Q8—734no—
1468C2×Q8—734no—
1469C2×Q8—734no—
1470C2×Q8—734no—
1471C2×Q8—734no—
1472C2×Q8—734no—
1473C2×Q8C23×D7314yes—
1474C2×Q8C23×D7314yes—
1475C2×Q8C23×D7314yes—
1476C2×D4—42no—
1477C2×D4—2922no—
1478C2×D4—2922no—
1479C2×D4—2922no—
1480C2×D4—2922no—
1481C2×D4—734no—
1482C2×D4—734no—
1483C2×D4—734no—
1484C2×D4—734no—
1485C2×D4—734no—
1486C2×D4—734no—
1487C2×D4—1464no—
1488C2×D4—1464no—
1489C2×D4C23×D7314yes—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—2922no—
1493C22×C4—2922no—
1494C22×C4—2922no—
1495C22×C4—2922no—
1496C22×C4—2922no—
1497C22×C4—2922no—
1498C22×C4—2922no—
1499C22×C4—2922no—
1500C22×C4—2922no—
1501C22×C4—2922no—
1502C22×C4—2922no—
1503C22×C4—2922no—
1504C22×C4—734no—
1505C22×C4—734no—
1506C22×C4—734no—
1507C22×C4—734no—
1508C22×C4—734no—
1509C22×C4—734no—
1510C22×C4—734no—
1511C22×C4—734no—
1512C22×C4—734no—
1513C22×C4—734no—
1514C22×C4—734no—
1515C22×C4—734no—
1516C22×C4—731no—
1517C22×C4—731no—
1518C22×C4—731no—
1519C22×C4—731no—
1520C22×C4—731no—
1521C22×C4—731no—
1522C22×C4—731no—
1523C22×C4—731no—
1524C22×C4—731no—
1525C22×C4—731no—
1526C22×C4—731no—
1527C22×C4—731no—
1528C22×C4—731no—
1529C22×C4—734no—
1530C22×C4—734no—
1531C22×C4—1464no—
1532C22×C4—1464no—
1533C22×C4C23×D7311yescharacteristic
1534C22×C4C23×D7311yescharacteristic
1535C22×C4C23×D7311yescharacteristic
1536C22×C4C23×D7311yescharacteristic
1537C22×C4C23×D7311yescharacteristic
1538C22×C4C23×D7311yescharacteristic
1539C22×C4C23×D7311yescharacteristic
1540C22×C4C23×D7311yescharacteristic
1541C22×C4C23×D7311yescharacteristic
1542C22×C4C23×D7311yescharacteristic
1543C22×C4C23×D7311yescharacteristic
1544C22×C4C23×D7311yescharacteristic
1545C22×C4C23×D7311yescharacteristic
1546C22×C4C23×D7314yes—
1547C22×C4C23×D7314yes—
1548C4⋊C4—734no—
1549C4⋊C4—734no—
1550C4⋊C4—734no—
1551C4⋊C4—734no—
1552C4⋊C4—734no—
1553C4⋊C4—734no—
1554C4⋊C4—734no—
1555C4⋊C4—734no—
1556C4⋊C4—734no—
1557C4⋊C4—734no—
1558C4⋊C4—734no—
1559C4⋊C4—734no—
1560C4⋊C4—734no—
1561C4⋊C4—734no—
1562C4⋊C4—734no—
1563C4⋊C4—734no—
1564C4⋊C4—734no—
1565C4⋊C4—734no—
1566C4⋊C4—734no—
1567C4⋊C4—734no—
1568C4⋊C4—734no—
1569C4⋊C4—734no—
1570C4⋊C4—734no—
1571C4⋊C4—734no—
1572C4⋊C4—734no—
1573C4⋊C4—734no—
1574C4⋊C4—734no—
1575C4⋊C4—734no—
1576C4⋊C4—734no—
1577C4⋊C4—734no—
1578C4⋊C4—734no—
1579C4⋊C4—734no—
1580C4⋊C4—734no—
1581C4⋊C4—734no—
1582C4⋊C4—734no—
1583C4⋊C4—734no—
1584C4⋊C4—734no—
1585C4⋊C4—734no—
1586C4⋊C4—734no—
1587C4⋊C4—734no—
1588C4⋊C4—734no—
1589C4⋊C4—734no—
1590C4⋊C4—734no—
1591C4⋊C4—734no—
1592C4⋊C4—734no—
1593C4⋊C4—734no—
1594C4⋊C4C23×D7314yes—
1595C4⋊C4C23×D7314yes—
1596C4⋊C4C23×D7314yes—
1597C4⋊C4C23×D7314yes—
1598C4⋊C4C23×D7314yes—
1599C4⋊C4C23×D7314yes—
1600C4⋊C4C23×D7314yes—
1601C4⋊C4C23×D7314yes—
1602C4⋊C4C23×D7314yes—
1603C4⋊C4C23×D7314yes—
1604C4⋊C4C23×D7314yes—
1605C4⋊C4C23×D7314yes—
1606C4⋊C4C23×D7314yes—
1607C4⋊C4C23×D7314yes—
1608C4⋊C4C23×D7314yes—
1609C4⋊C4C23×D7314yes—
1610C22⋊C4—734no—
1611C22⋊C4—734no—
1612C22⋊C4—734no—
1613C22⋊C4—734no—
1614C22⋊C4—734no—
1615C22⋊C4—734no—
1616C22⋊C4—734no—
1617C22⋊C4—734no—
1618C22⋊C4—734no—
1619C22⋊C4—734no—
1620C22⋊C4—734no—
1621C22⋊C4—734no—
1622C22⋊C4—734no—
1623C22⋊C4—734no—
1624C22⋊C4—734no—
1625C22⋊C4—734no—
1626C22⋊C4—734no—
1627C22⋊C4—734no—
1628C22⋊C4—734no—
1629C22⋊C4—734no—
1630C22⋊C4—734no—
1631C22⋊C4—734no—
1632C22⋊C4—734no—
1633C22⋊C4—734no—
1634C22⋊C4—734no—
1635C22⋊C4—734no—
1636C22⋊C4—734no—
1637C22⋊C4—734no—
1638C22⋊C4—734no—
1639C22⋊C4—734no—
1640C22⋊C4—734no—
1641C22⋊C4—734no—
1642C22⋊C4C23×D7314yes—
1643C22⋊C4C23×D7314yes—
1644C22⋊C4C23×D7314yes—
1645C22⋊C4C23×D7314yes—
1646C22⋊C4C23×D7314yes—
1647C22⋊C4C23×D7314yes—
1648C22⋊C4C23×D7314yes—
1649C22⋊C4C23×D7314yes—
1650C22⋊C4C23×D7314yes—
1651C22⋊C4C23×D7314yes—
1652C42—734no—
1653C42—734no—
1654C42—734no—
1655C42—734no—
1656C42—734no—
1657C42—734no—
1658C42—734no—
1659C42—734no—
1660C42—734no—
1661C42—734no—
1662C42—734no—
1663C42—734no—
1664C42—734no—
1665C42—734no—
1666C42—734no—
1667C42C23×D7314yes—
1668C42C23×D7314yes—
1669C42C23×D7314yes—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—2924no—
1677C23—2924no—
1678C23—5848no—
1679C23—734no—
1680C23—732no—
1681C23—732no—
1682C23—732no—
1683C23—1468no—
1684C23—1462no—
1685C23—1462no—
1686C23—1462no—
1687C23—1462no—
1688C23—1462no—
1689C23—1462no—
1690C23—1462no—
1691C23—1462no—
1692C23C24×D7312yes—
1693C23C24×D7312yes—
1694C23C24×D7311yescharacteristic
1695Q8—44no—
1696Q8—44no—
1697Q8—44no—
1698Q8—2924no—
1699Q8—2924no—
1700Q8—2924no—
1701Q8—2924no—
1702Q8—2924no—
1703Q8—2924no—
1704D4—44no—
1705D4—2924no—
1706D4—2924no—
1707D4—2924no—
1708D4—2924no—
1709D4—1468no—
1710D4—1468no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—2924no—
1727C2×C4—2924no—
1728C2×C4—2924no—
1729C2×C4—2924no—
1730C2×C4—2924no—
1731C2×C4—2924no—
1732C2×C4—2924no—
1733C2×C4—2924no—
1734C2×C4—2924no—
1735C2×C4—2924no—
1736C2×C4—2924no—
1737C2×C4—2924no—
1738C2×C4—732no—
1739C2×C4—732no—
1740C2×C4—732no—
1741C2×C4—732no—
1742C2×C4—732no—
1743C2×C4—732no—
1744C2×C4—732no—
1745C2×C4—732no—
1746C2×C4—732no—
1747C2×C4—732no—
1748C2×C4—732no—
1749C2×C4—732no—
1750C2×C4—732no—
1751C2×C4—1468no—
1752C2×C4—1468no—
1753C2×C4—1462no—
1754C2×C4—1462no—
1755C2×C4—1462no—
1756C2×C4—1462no—
1757C2×C4—1462no—
1758C2×C4—1462no—
1759C2×C4—1462no—
1760C2×C4—1462no—
1761C2×C4—1462no—
1762C2×C4—1462no—
1763C2×C4—1462no—
1764C2×C4—1462no—
1765C2×C4—1462no—
1766C2×C4C24×D7312yes—
1767C2×C4C24×D7312yes—
1768C2×C4C24×D7312yes—
1769C2×C4C24×D7312yes—
1770C2×C4C24×D7312yes—
1771C2×C4C24×D7312yes—
1772C2×C4C24×D7312yes—
1773C2×C4C24×D7312yes—
1774C2×C4C24×D7312yes—
1775C2×C4C24×D7312yes—
1776C2×C4C24×D7312yes—
1777C2×C4C24×D7312yes—
1778C2×C4C24×D7312yes—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—44no—
1786C22—44no—
1787C22—2924no—
1788C22—2924no—
1789C22—5848no—
1790C22—734no—
1791C22—1462no—
1792C22—1462no—
1793C22—1462no—
1794C22—1462no—
1795C22—1462no—
1796C22—1462no—
1797C22—1468no—
1798C22—1462no—
1799C22—1462no—
1800C222−1+4×D7312yes—
1801C22#1798942212yes—
1802C22#1798942412yes—
1803C22C25×D7311yescharacteristic
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—1462no—
1818C4—1462no—
1819C4—1462no—
1820C4—1462no—
1821C4—1462no—
1822C4—1462no—
1823C4—1462no—
1824C4—1462no—
1825C4—1462no—
1826C4—1462no—
1827C4—1462no—
1828C4—1462no—
1829C4—1462no—
1830C2—42no—
1831C2—42no—
1832C2—2922no—
1833C2—2922no—
1834C2—1464no—
1835C2#2262454614yesdirect product factor
1836C2C2×2−1+4×D7311yescharacteristic
1837C2C2×#1798942211yescharacteristic
1838C2C2×#1798942411yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#563×C73C2
socleC23×C73C25
prime radicalC2×#17989171C2
hypercenterC2×#563D73
hypocenterC73C2×#3564
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #22624546C2direct (N × H)
2. C2×#17989339C2semidirect
3. C2×#17989339C2semidirect
4. C2×#17989336C2semidirect
5. C2×#17989311C2semidirect
6. C2×#17989306C2semidirect
7. C2×#17989295C2semidirect
8. C2×#17989293C2semidirect
9. C2×#17989279C2semidirect
10. C2×#17989275C2semidirect
11. C2×#17989273C2semidirect
12. C2×#17989271C2semidirect
13. C2×#17989265C2semidirect
14. C2×#17989264C2semidirect
15. C2×#17989262C2semidirect
16. C2×#17989260C2semidirect
17. C2×#17989214C2semidirect
18. C2×#17989212C2semidirect
19. C2×#17989207C2semidirect
20. C2×#17989205C2semidirect
21. C2×#17989197C2semidirect
22. C2×#17989196C2semidirect
23. C2×#17989196C2semidirect
24. C2×#17989194C2semidirect
25. C2×#17989183C2semidirect
26. C2×#17989181C2semidirect
27. C2×#17989178C2semidirect
29. C2×#17989142C2semidirect
30. C2×#17989120C2semidirect
31. C2×#126×D73C2semidirect
32. C2×#563×C73C2semidirect
33. #17989339C22semidirect
34. #17989339C22semidirect
35. #17989336C22semidirect
36. #17989311C22semidirect
37. #17989306C22semidirect
38. #17989295C22semidirect
39. #17989293C22semidirect
40. #17989279C22semidirect
41. #17989275C22semidirect
42. #17989273C22semidirect
43. #17989271C22semidirect
44. #17989265C22semidirect
45. #17989264C22semidirect
46. #17989262C22semidirect
47. #17989260C22semidirect
48. #17989214C22semidirect
49. #17989212C22semidirect
50. #17989207C22semidirect
51. #17989205C22semidirect
52. #17989197C22semidirect
53. #17989196C22semidirect
54. #17989196C22semidirect
55. #17989194C22semidirect
56. #17989183C22semidirect
57. #17989181C22semidirect
58. #17989178C22semidirect
60. #17989142C22semidirect
61. C2×#14556591C22semidirect
62. C2×#14556590C22semidirect
63. C2×#14556590C22semidirect
64. C2×#14556590C22semidirect
65. C2×#14556589C22semidirect
66. C2×#14556589C22semidirect
67. #17989120C22semidirect
75. C2×#14556586C22semidirect
76. C2×#14556586C22semidirect
77. C2×#14556586C22semidirect
80. C2×#14556585C22semidirect
88. C2×#14556584C22semidirect
89. C2×#14556584C22semidirect
90. #126×D73C22semidirect
91. C2×#14556583C22semidirect
92. C2×#14556582C22semidirect
93. C2×#14556582C22semidirect
94. C2×#14556582C22semidirect
95. C2×#14556582C22semidirect
96. C2×#14556582C22semidirect
97. C2×#14556582C22semidirect
98. C2×#14556582C22semidirect
99. C2×#14556581C22semidirect
100. C2×#14556581C22semidirect
101. C2×#14556581C22semidirect
102. C2×#14556581C22semidirect
103. C2×#14556581C22semidirect
104. C2×#14556581C22semidirect
105. C2×#14556581C22semidirect
106. C2×#14556581C22semidirect
107. C2×#14556581C22semidirect
113. C2×#14556577C22semidirect
121. C2×#14556574C22semidirect
127. C2×#14556573C22semidirect
132. C2×#14556571C22semidirect
133. C2×#14556571C22semidirect
142. C2×#14556569C22semidirect
143. C2×#14556569C22semidirect
147. C2×#14556568C22semidirect
148. C2×#14556568C22semidirect
149. C2×#14556568C22semidirect
154. C2×#14556567C22semidirect
160. C2×Q8×Dic73C22semidirect
161. C2×Q8×Dic73C22semidirect
162. C2×Q8×Dic73C22semidirect
163. C2×C4×Dic146C22semidirect
164. C2×C4×Dic146C22semidirect
165. C2×C4×Dic146C22semidirect
166. C2×#14556556C22semidirect
167. C2×#14556556C22semidirect
168. C2×#14556556C22semidirect
179. C2×#14556551C22semidirect
186. C2×#14556549C22semidirect
187. C2×#14556549C22semidirect
190. C2×#14556547C22semidirect
191. C2×#14556547C22semidirect
192. C22×C4⋊Dic73C22semidirect
196. C2×C4⋊C4×D73C22semidirect
203. #563×C73C22semidirect
204. C2×C4⋊Q8×C73C22semidirect
205. C2×C4⋊Q8×C73C22semidirect
208. C2×#126×C73C22semidirect
209. C2×#126×C73C22semidirect
210. C2×#125×C73C22semidirect
211. C2×#125×C73C22semidirect
217. C2×C22⋊Q8×C73C22semidirect
218. C2×C22⋊Q8×C73C22semidirect
246. #14556591C23semidirect
247. #14556590C23semidirect
248. #14556590C23semidirect
249. #14556590C23semidirect
250. #14556589C23semidirect
251. #14556589C23semidirect
259. #14556586C23semidirect
260. #14556586C23semidirect
261. #14556586C23semidirect
264. #14556585C23semidirect
272. #14556584C23semidirect
273. #14556584C23semidirect
274. #14556583C23semidirect
275. #14556582C23semidirect
276. #14556582C23semidirect
277. #14556582C23semidirect
278. #14556582C23semidirect
279. #14556582C23semidirect
280. #14556582C23semidirect
281. #14556582C23semidirect
282. #14556581C23semidirect
283. #14556581C23semidirect
284. #14556581C23semidirect
285. #14556581C23semidirect
286. #14556581C23semidirect
287. #14556581C23semidirect
288. #14556581C23semidirect
289. #14556581C23semidirect
290. #14556581C23semidirect
296. #14556577C23semidirect
304. #14556574C23semidirect
310. #14556573C23semidirect
315. #14556571C23semidirect
316. #14556571C23semidirect
325. #14556569C23semidirect
326. #14556569C23semidirect
330. #14556568C23semidirect
331. #14556568C23semidirect
332. #14556568C23semidirect
337. #14556567C23semidirect
343. Q8×Dic73C23semidirect
344. Q8×Dic73C23semidirect
345. Q8×Dic73C23semidirect
346. C4×Dic146C23semidirect
347. C4×Dic146C23semidirect
348. C4×Dic146C23semidirect
349. #14556556C23semidirect
350. #14556556C23semidirect
351. #14556556C23semidirect
362. #14556551C23semidirect
369. #14556549C23semidirect
370. #14556549C23semidirect
373. #14556547C23semidirect
374. #14556547C23semidirect
393. C2×C4⋊Dic73C23semidirect
425. C4⋊C4×D73C23semidirect
485. C4⋊Q8×C73C23semidirect
486. C4⋊Q8×C73C23semidirect
489. #126×C73C23semidirect
490. #126×C73C23semidirect
491. #125×C73C23semidirect
492. #125×C73C23semidirect
498. C22⋊Q8×C73C23semidirect
499. C22⋊Q8×C73C23semidirect
913. C2×C73#3564semidirect
924. C2×#563D73semidirect
952. C73C2×#3564semidirect
956. #563C2×D73semidirect
988. C2×C4⋊Q8C2×D73semidirect
989. C2×C4⋊Q8C2×D73semidirect
1016. C2×#126C2×D73semidirect
1017. C2×#126C2×D73semidirect
1035. C2×#125C2×D73semidirect
1036. C2×#125C2×D73semidirect
1089. C2×C22⋊Q8C2×D73semidirect
1090. C2×C22⋊Q8C2×D73semidirect
1178. C4⋊Q8C22×D73semidirect
1179. C4⋊Q8C22×D73semidirect
1204. #126C22×D73semidirect
1205. #126C22×D73semidirect
1223. #125C22×D73semidirect
1224. #125C22×D73semidirect
1277. C22⋊Q8C22×D73semidirect
1278. C22⋊Q8C22×D73semidirect
1835. C2#22624546direct (N × H)

Maximal subgroups

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

subgroupindex
#226245462
C2×#179893392
C2×#179893362
C2×#179893112
C2×#179893062
C2×#179892952
C2×#179892932
C2×#179892792
C2×#179892752
C2×#179892732
C2×#179892712
C2×#179892652
C2×#179892642
C2×#179892622
C2×#179892602
C2×#179892142
C2×#179892122
C2×#179892072
C2×#179892052
C2×#179891972
C2×#179891962
C2×#179891942
C2×#179891832
C2×#179891812
C2×#179891782
C2×#179891712
C2×#179891422
C2×#179891202
C2×#126×D732
C2×#563×C732
C2×#356473