Finite Group Databasebeta

← C2×#22624365 #33993582

Subgroups — C2×#22624365 #33993582

Order 18688.

7086 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624365C2132yesmaximal, direct product factor
2C2×#17989339C211yesmaximal, characteristic, complemented
3C2×#17989339C211yesmaximal, characteristic, complemented
4C2×#17989336C211yesmaximal, characteristic, complemented
5C2×#17989314C211yesmaximal, characteristic, complemented
6C2×#17989304C211yesmaximal, characteristic, complemented
7C2×#17989293C211yesmaximal, characteristic, complemented
8C2×#17989291C211yesmaximal, characteristic, complemented
9C2×#17989288C211yesmaximal, characteristic, complemented
10C2×#17989282C211yesmaximal, characteristic, complemented
11C2×#17989252C211yesmaximal, characteristic, complemented
12C2×#17989250C211yesmaximal, characteristic, complemented
13C2×#17989250C211yesmaximal, characteristic, complemented
14C2×#17989247C211yesmaximal, characteristic, complemented
15C2×#17989245C211yesmaximal, characteristic, complemented
16C2×#17989235C211yesmaximal, characteristic, complemented
17C2×#17989216C211yesmaximal, characteristic, complemented
18C2×#17989214C211yesmaximal, characteristic, complemented
19C2×#17989207C211yesmaximal, characteristic, complemented
20C2×#17989201C211yesmaximal, characteristic, complemented
21C2×#17989196C211yesmaximal, characteristic, complemented
22C2×#17989194C211yesmaximal, characteristic, complemented
23C2×#17989185C211yesmaximal, characteristic, complemented
24C2×#17989183C211yesmaximal, characteristic, complemented
25C2×#17989180C211yesmaximal, characteristic, complemented
26C2×#17989178C211yesmaximal, characteristic, complemented
27C2×#17989160C211yesmaximal, characteristic, complemented
28C2×#17989159C211yesmaximal, characteristic, complemented
29C2×C4⋊Q8×D73C211yesmaximal, characteristic, complemented
30C2×#17989120C211yesmaximal, characteristic, complemented
31C2×#17989120C211yesmaximal, characteristic, complemented
32C2×#563×C73C211yesmaximal, characteristic, complemented
33C22×#11924028C2211yescharacteristic
34C22×#11924027C2211yescharacteristic
35C23×Dic146C2211yescharacteristic
36C22×Q8×D73C2211yescharacteristic
37C22×Q8×D73C2211yescharacteristic
38C22×Q8×D73C2211yescharacteristic
39#17989339C22116yescomplemented
40#17989339C22116yescomplemented
41#17989336C22116yescomplemented
42#17989314C22116yescomplemented
43#17989304C22116yescomplemented
44#17989293C22116yescomplemented
45#17989291C22116yescomplemented
46#17989288C22116yescomplemented
47#17989282C22116yescomplemented
48#17989252C22116yescomplemented
49#17989250C22116yescomplemented
50#17989250C22116yescomplemented
51#17989247C22116yescomplemented
52#17989245C22116yescomplemented
53#17989235C22116yescomplemented
54#17989216C22116yescomplemented
55#17989214C22116yescomplemented
56#17989207C22116yescomplemented
57#17989201C22116yescomplemented
58#17989196C22116yescomplemented
59#17989194C22116yescomplemented
60#17989185C22116yescomplemented
61#17989183C22116yescomplemented
62#17989180C22116yescomplemented
63#17989178C22116yescomplemented
64#17989160C22116yescomplemented
65#17989159C22116yescomplemented
66C2×#14556591C2211yescharacteristic
67C2×#14556590C2211yescharacteristic
68C2×#14556590C2211yescharacteristic
69C2×#14556590C2211yescharacteristic
70C2×#14556590C2211yescharacteristic
71C2×#14556590C2211yescharacteristic
72C2×#14556590C2211yescharacteristic
73C2×#14556590C2211yescharacteristic
74C2×#14556590C2211yescharacteristic
75C2×#14556590C2211yescharacteristic
76C2×#14556589C2211yescharacteristic
77C2×#14556589C2211yescharacteristic
78C2×#14556589C2211yescharacteristic
79C2×#14556589C2211yescharacteristic
80C4⋊Q8×D73C22116yescomplemented
81#17989120C22116yescomplemented
82#17989120C22116yescomplemented
83C2×#14556586C2211yescharacteristic
84C2×#14556586C2211yescharacteristic
85C2×#14556586C2211yescharacteristic
86C2×#14556586C2211yescharacteristic
87C2×#14556586C2211yescharacteristic
88C2×#14556585C2211yescharacteristic
89C2×#14556585C2211yescharacteristic
90C2×#14556585C2211yescharacteristic
91C2×#14556584C2211yescharacteristic
92C2×#14556584C2211yescharacteristic
93C2×#14556584C2211yescharacteristic
94C2×#14556584C2211yescharacteristic
95C2×#14556583C2211yescharacteristic
96C2×#14556582C2211yescharacteristic
97C2×#14556582C2211yescharacteristic
98C2×#14556582C2211yescharacteristic
99C2×#14556581C2211yescharacteristic
100C2×#14556581C2211yescharacteristic
101C2×#14556581C2211yescharacteristic
102C2×#14556581C2211yescharacteristic
103C2×#14556581C2211yescharacteristic
104C2×#14556581C2211yescharacteristic
105C2×#14556581C2211yescharacteristic
106C2×#14556581C2211yescharacteristic
107C2×#14556581C2211yescharacteristic
108C2×#14556581C2211yescharacteristic
109C2×#14556580C2211yescharacteristic
110C2×#14556577C2211yescharacteristic
111C2×#14556577C2211yescharacteristic
112C2×#14556577C2211yescharacteristic
113C2×#14556577C2211yescharacteristic
114C2×#14556577C2211yescharacteristic
115C2×#14556577C2211yescharacteristic
116C2×#14556576C2211yescharacteristic
117C2×#14556576C2211yescharacteristic
118C2×#14556576C2211yescharacteristic
119C2×#14556576C2211yescharacteristic
120C2×#14556576C2211yescharacteristic
121C2×#14556575C2211yescharacteristic
122C2×#14556575C2211yescharacteristic
123C2×#14556574C2211yescharacteristic
124C2×#14556573C2211yescharacteristic
125C2×#14556573C2211yescharacteristic
126C2×#14556573C2211yescharacteristic
127C2×#14556573C2211yescharacteristic
128C2×#14556573C2211yescharacteristic
129C2×#14556572C2211yescharacteristic
130C2×#14556571C2211yescharacteristic
131C2×#14556571C2211yescharacteristic
132C2×#14556571C2211yescharacteristic
133C2×#14556570C2211yescharacteristic
134C2×#14556569C2211yescharacteristic
135C2×#14556569C2211yescharacteristic
136C2×#14556569C2211yescharacteristic
137C2×#14556569C2211yescharacteristic
138C2×#14556569C2211yescharacteristic
139C2×#14556569C2211yescharacteristic
140C2×#14556569C2211yescharacteristic
141C2×#14556569C2211yescharacteristic
142C2×#14556569C2211yescharacteristic
143C2×#14556569C2211yescharacteristic
144C2×#14556569C2211yescharacteristic
145C2×#14556569C2211yescharacteristic
146C2×#14556568C2211yescharacteristic
147C2×#14556568C2211yescharacteristic
148C2×#14556568C2211yescharacteristic
149C2×#14556568C2211yescharacteristic
150C2×#14556568C2211yescharacteristic
151C2×#14556568C2211yescharacteristic
152C2×#14556568C2211yescharacteristic
153C2×#14556568C2211yescharacteristic
154C2×#14556567C2211yescharacteristic
155C2×#14556567C2211yescharacteristic
156C2×#14556567C2211yescharacteristic
157C2×#14556567C2211yescharacteristic
158C2×#14556566C2211yescharacteristic
159C2×#14556564C2211yescharacteristic
160C2×#14556564C2211yescharacteristic
161C2×#14556564C2211yescharacteristic
162C2×#14556564C2211yescharacteristic
163C2×#14556564C2211yescharacteristic
164C2×#14556563C2211yescharacteristic
165C2×#14556562C2211yescharacteristic
166C2×C4×Dic146C2211yescharacteristic
167C2×C4×Dic146C2211yescharacteristic
168C2×C4×Dic146C2211yescharacteristic
169C2×#14556556C2211yescharacteristic
170C2×#14556556C2211yescharacteristic
171C2×#14556556C2211yescharacteristic
172C2×#14556556C2211yescharacteristic
173C2×#14556556C2211yescharacteristic
174C2×C4×D292C2211yescharacteristic
175C2×C4×D292C2211yescharacteristic
176C2×#14556553C2211yescharacteristic
177C2×#14556553C2211yescharacteristic
178C2×#14556553C2211yescharacteristic
179C2×#14556553C2211yescharacteristic
180C2×C4×C22⋊D73C2211yescharacteristic
181C2×C4×C22⋊D73C2211yescharacteristic
182C2×C4×C22⋊D73C2211yescharacteristic
183C2×#14556551C2211yescharacteristic
184C2×#14556551C2211yescharacteristic
185C2×#14556551C2211yescharacteristic
186C2×#14556551C2211yescharacteristic
187C2×#14556551C2211yescharacteristic
188C2×#14556551C2211yescharacteristic
189C2×#14556551C2211yescharacteristic
190C2×#14556549C2211yescharacteristic
191C2×#14556549C2211yescharacteristic
192C2×#14556548C2211yescharacteristic
193C2×#14556547C2211yescharacteristic
194C2×#14556547C2211yescharacteristic
195C2×#14556547C2211yescharacteristic
196C22×#11924007C2211yescharacteristic
197C2×C4⋊C4×D73C2211yescharacteristic
198C2×C4⋊C4×D73C2211yescharacteristic
199C2×C4⋊C4×D73C2211yescharacteristic
200C2×C4⋊C4×D73C2211yescharacteristic
201C2×C4⋊C4×D73C2211yescharacteristic
202C2×C42×D73C2211yescharacteristic
203#563×C73C22116yescomplemented
204C2×C4⋊Q8×C73C2211yescharacteristic
205C2×C4⋊Q8×C73C2211yescharacteristic
206C2×#126×C73C2211yescharacteristic
207C2×#126×C73C2211yescharacteristic
208C2×#126×C73C2211yescharacteristic
209C2×#126×C73C2211yescharacteristic
210C2×#125×C73C2211yescharacteristic
211C2×#125×C73C2211yescharacteristic
212C2×#124×C73C2211yescharacteristic
213C2×#123×C73C2211yescharacteristic
214C2×#123×C73C2211yescharacteristic
215C2×C22⋊Q8×C73C2211yescharacteristic
216C2×C22⋊Q8×C73C2211yescharacteristic
217C2×C22⋊Q8×C73C2211yescharacteristic
218C2×C22⋊Q8×C73C2211yescharacteristic
219C2×#11924028—44no—
220C2×#11924028C2318yes—
221C2×#11924027—44no—
222C2×#11924027C2318yes—
223C22×Dic146—44no—
224C22×Dic146C2311yescharacteristic
225C22×Dic146C2311yescharacteristic
226C22×Dic146C2311yescharacteristic
227C22×Dic146C2311yescharacteristic
228C22×Dic146C2311yescharacteristic
229C22×Dic146C2311yescharacteristic
230C22×Dic146C2311yescharacteristic
231C22×Dic146C2311yescharacteristic
232C22×Dic146C2311yescharacteristic
233C22×Dic146C2311yescharacteristic
234C22×Dic146C2311yescharacteristic
235C22×Dic146C2318yes—
236C2×Q8×D73—44no—
237C2×Q8×D73—44no—
238C2×Q8×D73—44no—
239C2×Q8×D73C2318yes—
240C2×Q8×D73C2318yes—
241C2×Q8×D73C2318yes—
242C22×D292C2311yescharacteristic
243C22×D292C2311yescharacteristic
244C22×D292C2311yescharacteristic
245C22×C22⋊D73C2311yescharacteristic
246C22×C22⋊D73C2311yescharacteristic
247C22×C22⋊D73C2311yescharacteristic
248C22×C22⋊D73C2311yescharacteristic
249C22×C22⋊D73C2311yescharacteristic
250C22×C22⋊D73C2311yescharacteristic
251C23×Dic73C2311yescharacteristic
252C23×Dic73C2311yescharacteristic
253C23×Dic73C2311yescharacteristic
254C23×Dic73C2311yescharacteristic
255C22×C4×D73C2311yescharacteristic
256C22×C4×D73C2311yescharacteristic
257C22×C4×D73C2311yescharacteristic
258C22×C4×D73C2311yescharacteristic
259C22×C4×D73C2311yescharacteristic
260C22×C4×D73C2311yescharacteristic
261C22×C4×D73C2311yescharacteristic
262C22×C4×D73C2311yescharacteristic
263C22×C4×D73C2311yescharacteristic
264C22×C4×D73C2311yescharacteristic
265C22×C4×D73C2311yescharacteristic
266C22×C4×D73C2311yescharacteristic
267C22×C4×D73C2311yescharacteristic
268#14556591C2318yes—
269#14556590C2318yes—
270#14556590C2318yes—
271#14556590C2318yes—
272#14556590C2318yes—
273#14556590C2318yes—
274#14556590C2318yes—
275#14556590C2318yes—
276#14556590C2318yes—
277#14556590C2318yes—
278#14556589C2318yes—
279#14556589C2318yes—
280#14556589C2318yes—
281#14556589C2318yes—
282#14556586C2318yes—
283#14556586C2318yes—
284#14556586C2318yes—
285#14556586C2318yes—
286#14556586C2318yes—
287#14556585C2318yes—
288#14556585C2318yes—
289#14556585C2318yes—
290#14556584C2318yes—
291#14556584C2318yes—
292#14556584C2318yes—
293#14556584C2318yes—
294#14556583C2318yes—
295#14556582C2318yes—
296#14556582C2318yes—
297#14556582C2318yes—
298#14556581C2318yes—
299#14556581C2318yes—
300#14556581C2318yes—
301#14556581C2318yes—
302#14556581C2318yes—
303#14556581C2318yes—
304#14556581C2318yes—
305#14556581C2318yes—
306#14556581C2318yes—
307#14556581C2318yes—
308#14556580C2318yes—
309#14556577C2318yes—
310#14556577C2318yes—
311#14556577C2318yes—
312#14556577C2318yes—
313#14556577C2318yes—
314#14556577C2318yes—
315#14556576C2318yes—
316#14556576C2318yes—
317#14556576C2318yes—
318#14556576C2318yes—
319#14556576C2318yes—
320#14556575C2318yes—
321#14556575C2318yes—
322#14556574C2318yes—
323#14556573C2318yes—
324#14556573C2318yes—
325#14556573C2318yes—
326#14556573C2318yes—
327#14556573C2318yes—
328#14556572C2318yes—
329#14556571C2318yes—
330#14556571C2318yes—
331#14556571C2318yes—
332#14556570C2318yes—
333#14556569C2318yes—
334#14556569C2318yes—
335#14556569C2318yes—
336#14556569C2318yes—
337#14556569C2318yes—
338#14556569C2318yes—
339#14556569C2318yes—
340#14556569C2318yes—
341#14556569C2318yes—
342#14556569C2318yes—
343#14556569C2318yes—
344#14556569C2318yes—
345#14556568C2318yes—
346#14556568C2318yes—
347#14556568C2318yes—
348#14556568C2318yes—
349#14556568C2318yes—
350#14556568C2318yes—
351#14556568C2318yes—
352#14556568C2318yes—
353#14556567C2318yes—
354#14556567C2318yes—
355#14556567C2318yes—
356#14556567C2318yes—
357#14556566C2318yes—
358#14556564C2318yes—
359#14556564C2318yes—
360#14556564C2318yes—
361#14556564C2318yes—
362#14556564C2318yes—
363#14556563C2318yes—
364#14556562C2318yes—
365C4×Dic146C2318yes—
366C4×Dic146C2318yes—
367C4×Dic146C2318yes—
368#14556556C2318yes—
369#14556556C2318yes—
370#14556556C2318yes—
371#14556556C2318yes—
372#14556556C2318yes—
373C4×D292C2318yes—
374C4×D292C2318yes—
375#14556553C2318yes—
376#14556553C2318yes—
377#14556553C2318yes—
378#14556553C2318yes—
379C4×C22⋊D73C2318yes—
380C4×C22⋊D73C2318yes—
381C4×C22⋊D73C2318yes—
382#14556551C2318yes—
383#14556551C2318yes—
384#14556551C2318yes—
385#14556551C2318yes—
386#14556551C2318yes—
387#14556551C2318yes—
388#14556551C2318yes—
389#14556549C2318yes—
390#14556549C2318yes—
391#14556548C2318yes—
392#14556547C2318yes—
393#14556547C2318yes—
394#14556547C2318yes—
395C2×C4⋊Dic73C2311yescharacteristic
396C2×C4⋊Dic73C2311yescharacteristic
397C2×C4⋊Dic73C2311yescharacteristic
398C2×C4⋊Dic73C2311yescharacteristic
399C2×C4⋊Dic73C2311yescharacteristic
400C2×C4⋊Dic73C2311yescharacteristic
401C2×C4⋊Dic73C2311yescharacteristic
402C2×C4⋊Dic73C2311yescharacteristic
403C2×C4⋊Dic73C2311yescharacteristic
404C2×C4⋊Dic73C2311yescharacteristic
405C2×C4⋊Dic73C2311yescharacteristic
406C2×C4⋊Dic73C2311yescharacteristic
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×#11924007C2311yescharacteristic
426C2×#11924007C2318yes—
427C2×#11924007C2311yescharacteristic
428C2×#11924007C2311yescharacteristic
429C2×#11924007C2311yescharacteristic
430C2×#11924007C2311yescharacteristic
431C2×#11924007C2311yescharacteristic
432C2×#11924007C2311yescharacteristic
433C2×#11924007C2311yescharacteristic
434C2×#11924007C2311yescharacteristic
435C2×#11924007C2311yescharacteristic
436C2×#11924007C2311yescharacteristic
437C2×#11924007C2311yescharacteristic
438C2×#11924007C2311yescharacteristic
439C2×#11924007C2311yescharacteristic
440C4⋊C4×D73C2318yes—
441C4⋊C4×D73C2318yes—
442C4⋊C4×D73C2318yes—
443C4⋊C4×D73C2318yes—
444C4⋊C4×D73C2318yes—
445C2×C22⋊Dic73C2311yescharacteristic
446C2×C22⋊Dic73C2311yescharacteristic
447C2×C22⋊Dic73C2311yescharacteristic
448C2×C22⋊Dic73C2311yescharacteristic
449C2×C22⋊Dic73C2311yescharacteristic
450C2×C22⋊Dic73C2311yescharacteristic
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
467C2×#11924005C2311yescharacteristic
468C2×#11924005C2311yescharacteristic
469C2×#11924005C2311yescharacteristic
470C2×#11924005C2311yescharacteristic
471C2×C4×Dic73C2311yescharacteristic
472C2×C4×Dic73C2311yescharacteristic
473C2×C4×Dic73C2311yescharacteristic
474C2×C4×Dic73C2311yescharacteristic
475C2×C4×Dic73C2311yescharacteristic
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C2×C4×Dic73C2311yescharacteristic
479C2×C4×Dic73C2311yescharacteristic
480C2×C4×Dic73C2311yescharacteristic
481C2×C4×Dic73C2311yescharacteristic
482C2×C4×Dic73C2311yescharacteristic
483C2×C4×Dic73C2311yescharacteristic
484C42×D73C2318yes—
485C22×Q8×C73C2311yescharacteristic
486C22×Q8×C73C2311yescharacteristic
487C22×Q8×C73C2311yescharacteristic
488C22×D4×C73C2311yescharacteristic
489C23×C4×C73C2311yescharacteristic
490C23×C4×C73C2311yescharacteristic
491C4⋊Q8×C73C2318yes—
492C4⋊Q8×C73C2318yes—
493#126×C73C2318yes—
494#126×C73C2318yes—
495#126×C73C2318yes—
496#126×C73C2318yes—
497#125×C73C2318yes—
498#125×C73C2318yes—
499#124×C73C2318yes—
500#123×C73C2318yes—
501#123×C73C2318yes—
502C22⋊Q8×C73C2318yes—
503C22⋊Q8×C73C2318yes—
504C22⋊Q8×C73C2318yes—
505C22⋊Q8×C73C2318yes—
506C2×C4⋊C4×C73C2311yescharacteristic
507C2×C4⋊C4×C73C2311yescharacteristic
508C2×C4⋊C4×C73C2311yescharacteristic
509C2×C4⋊C4×C73C2311yescharacteristic
510C2×C4⋊C4×C73C2311yescharacteristic
511C2×C4⋊C4×C73C2311yescharacteristic
512C2×C4⋊C4×C73C2311yescharacteristic
513C2×C4⋊C4×C73C2311yescharacteristic
514C2×C4⋊C4×C73C2311yescharacteristic
515C2×C4⋊C4×C73C2311yescharacteristic
516C2×C4⋊C4×C73C2311yescharacteristic
517C2×C4⋊C4×C73C2311yescharacteristic
518C2×C4⋊C4×C73C2311yescharacteristic
519C2×C4⋊C4×C73C2311yescharacteristic
520C2×C4⋊C4×C73C2311yescharacteristic
521C2×C4⋊C4×C73C2311yescharacteristic
522C2×C22⋊C4×C73C2311yescharacteristic
523C2×C22⋊C4×C73C2311yescharacteristic
524C2×C22⋊C4×C73C2311yescharacteristic
525C2×C22⋊C4×C73C2311yescharacteristic
526C2×C22⋊C4×C73C2311yescharacteristic
527C2×C22⋊C4×C73C2311yescharacteristic
528C2×C22⋊C4×C73C2311yescharacteristic
529C2×C22⋊C4×C73C2311yescharacteristic
530C2×C22⋊C4×C73C2311yescharacteristic
531C2×C22⋊C4×C73C2311yescharacteristic
532C2×C42×C73C2311yescharacteristic
533C2×C42×C73C2311yescharacteristic
534C2×C42×C73C2311yescharacteristic
535C23×D73C2411yescharacteristic
536C23×D73C2411yescharacteristic
537C23×D73C2411yescharacteristic
538#11924028—416no—
539#11924027—416no—
540C2×Dic146—24no—
541C2×Dic146—24no—
542C2×Dic146—24no—
543C2×Dic146—24no—
544C2×Dic146—24no—
545C2×Dic146—24no—
546C2×Dic146—416no—
547C2×Dic146—42no—
548C2×Dic146—42no—
549C2×Dic146—42no—
550C2×Dic146—42no—
551C2×Dic146—42no—
552C2×Dic146C2414yes—
553C2×Dic146C2414yes—
554C2×Dic146C2414yes—
555C2×Dic146C2414yes—
556C2×Dic146C2414yes—
557C2×Dic146C2414yes—
558C2×Dic146C2414yes—
559C2×Dic146C2414yes—
560C2×Dic146C2414yes—
561C2×Dic146C2414yes—
562C2×Dic146C2414yes—
563Q8×D73—416no—
564Q8×D73—416no—
565Q8×D73—416no—
566C2×D292—24no—
567C2×D292—24no—
568C2×D292—42no—
569C2×D292C2414yes—
570C2×D292C2414yes—
571C2×D292C2414yes—
572C2×C22⋊D73—24no—
573C2×C22⋊D73—24no—
574C2×C22⋊D73—24no—
575C2×C22⋊D73—24no—
576C2×C22⋊D73—42no—
577C2×C22⋊D73—42no—
578C2×C22⋊D73C2414yes—
579C2×C22⋊D73C2414yes—
580C2×C22⋊D73C2414yes—
581C2×C22⋊D73C2414yes—
582C2×C22⋊D73C2414yes—
583C2×C22⋊D73C2414yes—
584C22×Dic73—24no—
585C22×Dic73—24no—
586C22×Dic73—42no—
587C22×Dic73—42no—
588C22×Dic73C2411yescharacteristic
589C22×Dic73C2411yescharacteristic
590C22×Dic73C2411yescharacteristic
591C22×Dic73C2411yescharacteristic
592C22×Dic73C2411yescharacteristic
593C22×Dic73C2411yescharacteristic
594C22×Dic73C2411yescharacteristic
595C22×Dic73C2411yescharacteristic
596C22×Dic73C2411yescharacteristic
597C22×Dic73C2411yescharacteristic
598C22×Dic73C2411yescharacteristic
599C22×Dic73C2414yes—
600C22×Dic73C2414yes—
601C22×Dic73C2414yes—
602C22×Dic73C2414yes—
603C22×Dic73C2411yescharacteristic
604C22×Dic73C2411yescharacteristic
605C2×C4×D73—24no—
606C2×C4×D73—24no—
607C2×C4×D73—24no—
608C2×C4×D73—24no—
609C2×C4×D73—24no—
610C2×C4×D73—42no—
611C2×C4×D73—42no—
612C2×C4×D73—42no—
613C2×C4×D73—42no—
614C2×C4×D73—42no—
615C2×C4×D73—42no—
616C2×C4×D73—42no—
617C2×C4×D73—42no—
618C2×C4×D73C2414yes—
619C2×C4×D73C2414yes—
620C2×C4×D73C2414yes—
621C2×C4×D73C2414yes—
622C2×C4×D73C2414yes—
623C2×C4×D73C2414yes—
624C2×C4×D73C2414yes—
625C2×C4×D73C2414yes—
626C2×C4×D73C2414yes—
627C2×C4×D73C2414yes—
628C2×C4×D73C2414yes—
629C2×C4×D73C2414yes—
630C2×C4×D73C2414yes—
631C4⋊Dic73C2414yes—
632C4⋊Dic73C2414yes—
633C4⋊Dic73C2414yes—
634C4⋊Dic73C2414yes—
635C4⋊Dic73C2414yes—
636C4⋊Dic73C2414yes—
637C4⋊Dic73C2414yes—
638C4⋊Dic73C2414yes—
639C4⋊Dic73C2414yes—
640C4⋊Dic73C2414yes—
641C4⋊Dic73C2414yes—
642C4⋊Dic73C2414yes—
643#11924007C2414yes—
644#11924007C2414yes—
645#11924007C2414yes—
646#11924007C2414yes—
647#11924007C2414yes—
648#11924007C2414yes—
649#11924007C2414yes—
650#11924007C2414yes—
651#11924007C2414yes—
652#11924007C2414yes—
653#11924007C2414yes—
654#11924007C2414yes—
655#11924007C2414yes—
656#11924007C2414yes—
657#11924007C2414yes—
658#11924007C2414yes—
659#11924007C2414yes—
660#11924007C2414yes—
661#11924007C2414yes—
662#11924007C2414yes—
663#11924007C2414yes—
664#11924007C2414yes—
665#11924007C2414yes—
666#11924007C2414yes—
667#11924007C2414yes—
668#11924007C2414yes—
669#11924007C2414yes—
670#11924007C2414yes—
671#11924007C2414yes—
672#11924007C2414yes—
673#11924007C2414yes—
674#11924007C2414yes—
675C22⋊Dic73C2414yes—
676C22⋊Dic73C2414yes—
677C22⋊Dic73C2414yes—
678C22⋊Dic73C2414yes—
679C22⋊Dic73C2414yes—
680C22⋊Dic73C2414yes—
681#11924005C2414yes—
682#11924005C2414yes—
683#11924005C2414yes—
684#11924005C2414yes—
685#11924005C2414yes—
686#11924005C2414yes—
687#11924005C2414yes—
688#11924005C2414yes—
689#11924005C2414yes—
690#11924005C2414yes—
691#11924005C2414yes—
692#11924005C2414yes—
693#11924005C2414yes—
694#11924005C2414yes—
695#11924005C2414yes—
696#11924005C2414yes—
697#11924005C2414yes—
698#11924005C2414yes—
699#11924005C2414yes—
700#11924005C2414yes—
701C4×Dic73C2414yes—
702C4×Dic73C2414yes—
703C4×Dic73C2414yes—
704C4×Dic73C2414yes—
705C4×Dic73C2414yes—
706C4×Dic73C2414yes—
707C4×Dic73C2414yes—
708C4×Dic73C2414yes—
709C4×Dic73C2414yes—
710C4×Dic73C2414yes—
711C4×Dic73C2414yes—
712C4×Dic73C2414yes—
713C4×Dic73C2414yes—
714C24×C73C2411yescharacteristic
715C24×C73C2411yescharacteristic
716C2×Q8×C73—42no—
717C2×Q8×C73—42no—
718C2×Q8×C73—42no—
719C2×Q8×C73C2414yes—
720C2×Q8×C73C2414yes—
721C2×Q8×C73C2414yes—
722C2×D4×C73—42no—
723C2×D4×C73C2414yes—
724C22×C4×C73—42no—
725C22×C4×C73—42no—
726C22×C4×C73C2411yescharacteristic
727C22×C4×C73C2411yescharacteristic
728C22×C4×C73C2411yescharacteristic
729C22×C4×C73C2411yescharacteristic
730C22×C4×C73C2411yescharacteristic
731C22×C4×C73C2411yescharacteristic
732C22×C4×C73C2411yescharacteristic
733C22×C4×C73C2411yescharacteristic
734C22×C4×C73C2411yescharacteristic
735C22×C4×C73C2411yescharacteristic
736C22×C4×C73C2411yescharacteristic
737C22×C4×C73C2411yescharacteristic
738C22×C4×C73C2411yescharacteristic
739C22×C4×C73C2414yes—
740C22×C4×C73C2414yes—
741C4⋊C4×C73C2414yes—
742C4⋊C4×C73C2414yes—
743C4⋊C4×C73C2414yes—
744C4⋊C4×C73C2414yes—
745C4⋊C4×C73C2414yes—
746C4⋊C4×C73C2414yes—
747C4⋊C4×C73C2414yes—
748C4⋊C4×C73C2414yes—
749C4⋊C4×C73C2414yes—
750C4⋊C4×C73C2414yes—
751C4⋊C4×C73C2414yes—
752C4⋊C4×C73C2414yes—
753C4⋊C4×C73C2414yes—
754C4⋊C4×C73C2414yes—
755C4⋊C4×C73C2414yes—
756C4⋊C4×C73C2414yes—
757C22⋊C4×C73C2414yes—
758C22⋊C4×C73C2414yes—
759C22⋊C4×C73C2414yes—
760C22⋊C4×C73C2414yes—
761C22⋊C4×C73C2414yes—
762C22⋊C4×C73C2414yes—
763C22⋊C4×C73C2414yes—
764C22⋊C4×C73C2414yes—
765C22⋊C4×C73C2414yes—
766C22⋊C4×C73C2414yes—
767C42×C73C2414yes—
768C42×C73C2414yes—
769C42×C73C2414yes—
770C23×C73—22no—
771C23×C73—22no—
772C23×C73—22no—
773C23×C73—22no—
774C23×C73—22no—
775C23×C73—22no—
776C23×C73C2512yes—
777C23×C73C2512yes—
778C23×C73C2511yescharacteristic
779C22×D73—22no—
780C22×D73—22no—
781C22×D73—22no—
782C22×D73—22no—
783C22×D73—22no—
784C22×D73—22no—
785C22×D73—22no—
786C22×D73—22no—
787C22×D732−1+414yes—
788C22×D73C2512yes—
789C22×D73C2512yes—
790C22×D73C2512yes—
791Q8×C73—44no—
792Q8×C73—44no—
793Q8×C73—44no—
794D4×C73—44no—
795C2×C4×C73—22no—
796C2×C4×C73—22no—
797C2×C4×C73—22no—
798C2×C4×C73—22no—
799C2×C4×C73—22no—
800C2×C4×C73—22no—
801C2×C4×C73—22no—
802C2×C4×C73—22no—
803C2×C4×C73—22no—
804C2×C4×C73—22no—
805C2×C4×C73—22no—
806C2×C4×C73—22no—
807C2×C4×C73—22no—
808C2×C4×C73—44no—
809C2×C4×C73—44no—
810C2×C4×C73C2512yes—
811C2×C4×C73C2512yes—
812C2×C4×C73C2512yes—
813C2×C4×C73C2512yes—
814C2×C4×C73C2512yes—
815C2×C4×C73C2512yes—
816C2×C4×C73C2512yes—
817C2×C4×C73C2512yes—
818C2×C4×C73C2512yes—
819C2×C4×C73C2512yes—
820C2×C4×C73C2512yes—
821C2×C4×C73C2512yes—
822C2×C4×C73C2512yes—
823C22⋊D73—28no—
824C22⋊D73—28no—
825C22⋊D73—28no—
826C22⋊D73—28no—
827C22⋊D73—44no—
828C22⋊D73—44no—
829C2×Dic73—22no—
830C2×Dic73—22no—
831C2×Dic73—22no—
832C2×Dic73—22no—
833C2×Dic73—22no—
834C2×Dic73—22no—
835C2×Dic73—22no—
836C2×Dic73—22no—
837C2×Dic73—22no—
838C2×Dic73—22no—
839C2×Dic73—22no—
840C2×Dic73—28no—
841C2×Dic73—28no—
842C2×Dic73—44no—
843C2×Dic73—44no—
844C2×Dic73H(5,𝔽2)14yes—
845C2×Dic732−1+414yes—
846C2×Dic73C2512yes—
847C2×Dic73C2512yes—
848C2×Dic73C2512yes—
849C2×Dic73C2512yes—
850C2×Dic73C2512yes—
851C2×Dic73C2512yes—
852C2×Dic73C2512yes—
853C2×Dic73C2512yes—
854C2×Dic73C2512yes—
855C2×Dic73C2512yes—
856C2×Dic73C2512yes—
857C2×Dic73C2512yes—
858C2×Dic73C2512yes—
859D292—28no—
860D292—28no—
861D292—44no—
862C4×D73—28no—
863C4×D73—28no—
864C4×D73—28no—
865C4×D73—28no—
866C4×D73—28no—
867C4×D73—44no—
868C4×D73—44no—
869C4×D73—44no—
870C4×D73—44no—
871C4×D73—44no—
872C4×D73—44no—
873C4×D73—44no—
874C4×D73—44no—
875Dic146—28no—
876Dic146—28no—
877Dic146—28no—
878Dic146—28no—
879Dic146—28no—
880Dic146—28no—
881Dic146—44no—
882Dic146—44no—
883Dic146—44no—
884Dic146—44no—
885Dic146—44no—
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×C73C2×H(5,𝔽2)12yes—
895C22×C73C2×2−1+412yes—
896C22×C73C2×2−1+412yes—
897C22×C73C2611yescharacteristic
898C2×D73—22no—
899C2×D73—22no—
900C2×D73—28no—
901C2×D73—22no—
902C2×D73—22no—
903C2×D73—22no—
904C2×D73—22no—
905C2×D73—22no—
906C2×D73—22no—
907C2×D73—44no—
908C2×D73—44no—
909C2×D73C2×2−1+414yes—
910C4×C73—22no—
911C4×C73—22no—
912C4×C73—22no—
913C4×C73—22no—
914C4×C73—22no—
915C4×C73—22no—
916C4×C73—22no—
917C4×C73—22no—
918C4×C73—22no—
919C4×C73—22no—
920C4×C73—22no—
921C4×C73—22no—
922C4×C73—22no—
923Dic73—22no—
924Dic73—22no—
925Dic73—22no—
926Dic73—22no—
927Dic73—22no—
928Dic73—22no—
929Dic73—22no—
930Dic73—22no—
931Dic73—22no—
932Dic73—22no—
933Dic73—22no—
934Dic73C2×H(5,𝔽2)14yes—
935Dic73C2×2−1+414yes—
936C2×#3552—731nomaximal, Sylow
937C2×C73—42no—
938C2×C73—42no—
939C2×C73#355214yescomplemented
940C2×C73C22×H(5,𝔽2)11yescharacteristic
941C2×C73C22×2−1+411yescharacteristic
942C2×C73C22×2−1+411yescharacteristic
943D73—24no—
944D73—42no—
945D73—42no—
946#3552—7332no—
947C2×#563—731no—
948C2×#563—731no—
949C2×#563—731no—
950C2×#563D7311yescharacteristic, complemented
951C2×#557—731no—
952C2×#556—731no—
953C2×#554—731no—
954C2×#554—731no—
955C2×#553—731no—
956C2×#553—731no—
957C2×D4×Q8—731no—
958C2×D4×Q8—731no—
959C2×D4×Q8—731no—
960C2×#548—731no—
961C2×#548—731no—
962C2×#547—731no—
963C2×#544—731no—
964C2×#544—731no—
965C2×#542—731no—
966C2×#542—731no—
967C2×#541—731no—
968C2×#541—731no—
969C2×#539—731no—
970C2×#539—731no—
971C2×#539—731no—
972C2×#539—731no—
973C2×#536—731no—
974C2×#536—731no—
975C22×C4⋊Q8—731no—
976C2×#529—731no—
977C2×#529—731no—
978C73C2×#355211yescharacteristic, complemented, Sylow
979C22×#41—731no—
980C22×#41—731no—
981C23×Q8—731no—
982C23×Q8—731no—
983C23×Q8—731no—
984C23×Q8—731no—
985#563—7316no—
986#563—7316no—
987#563—7316no—
988#563C2×D73116yescomplemented
989#557—7316no—
990#556—7316no—
991#554—7316no—
992#554—7316no—
993#553—7316no—
994#553—7316no—
995D4×Q8—7316no—
996D4×Q8—7316no—
997D4×Q8—7316no—
998#548—7316no—
999#548—7316no—
1000#547—7316no—
1001#544—7316no—
1002#544—7316no—
1003#542—7316no—
1004#542—7316no—
1005#541—7316no—
1006#541—7316no—
1007#539—7316no—
1008#539—7316no—
1009#539—7316no—
1010#539—7316no—
1011#536—7316no—
1012#536—7316no—
1013C2×C4⋊Q8—731no—
1014C2×C4⋊Q8—731no—
1015C2×C4⋊Q8—731no—
1016C2×C4⋊Q8—731no—
1017C2×C4⋊Q8—7316no—
1018C2×C4⋊Q8—731no—
1019C2×C4⋊Q8—731no—
1020C2×C4⋊Q8—731no—
1021C2×C4⋊Q8—731no—
1022C2×C4⋊Q8—731no—
1023C2×C4⋊Q8—731no—
1024C2×C4⋊Q8—731no—
1025C2×C4⋊Q8—731no—
1026C2×C4⋊Q8—731no—
1027C2×C4⋊Q8—731no—
1028C2×C4⋊Q8C2×D7311yescharacteristic
1029C2×C4⋊Q8C2×D7311yescharacteristic
1030#529—7316no—
1031#529—7316no—
1032C2×#126—731no—
1033C2×#126—731no—
1034C2×#126—731no—
1035C2×#126—731no—
1036C2×#126—731no—
1037C2×#126—731no—
1038C2×#126—731no—
1039C2×#126—731no—
1040C2×#126—731no—
1041C2×#126—731no—
1042C2×#126—731no—
1043C2×#126—731no—
1044C2×#126C2×D7311yescharacteristic
1045C2×#126C2×D7311yescharacteristic
1046C2×#126C2×D7311yescharacteristic
1047C2×#126C2×D7311yescharacteristic
1048C2×#125—731no—
1049C2×#125—731no—
1050C2×#125—731no—
1051C2×#125—731no—
1052C2×#125—731no—
1053C2×#125—731no—
1054C2×#125—731no—
1055C2×#125—731no—
1056C2×#125—731no—
1057C2×#125—731no—
1058C2×#125—731no—
1059C2×#125—731no—
1060C2×#125—731no—
1061C2×#125—731no—
1062C2×#125C2×D7311yescharacteristic
1063C2×#125C2×D7311yescharacteristic
1064C2×#124—731no—
1065C2×#124—731no—
1066C2×#124—731no—
1067C2×#124—731no—
1068C2×#124—731no—
1069C2×#124—731no—
1070C2×#124—731no—
1071C2×#124C2×D7311yescharacteristic
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
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⋊Q8—731no—
1106C2×C22⋊Q8—731no—
1107C2×C22⋊Q8—731no—
1108C2×C22⋊Q8—731no—
1109C2×C22⋊Q8—731no—
1110C2×C22⋊Q8—731no—
1111C2×C22⋊Q8—731no—
1112C2×C22⋊Q8—731no—
1113C2×C22⋊Q8—731no—
1114C2×C22⋊Q8—731no—
1115C2×C22⋊Q8—731no—
1116C2×C22⋊Q8C2×D7311yescharacteristic
1117C2×C22⋊Q8C2×D7311yescharacteristic
1118C2×C22⋊Q8C2×D7311yescharacteristic
1119C2×C22⋊Q8C2×D7311yescharacteristic
1120C2×#121—731no—
1121C2×#121—731no—
1122C2×#121—731no—
1123C2×#121—731no—
1124C2×#121—731no—
1125C2×#121—731no—
1126C2×#121—731no—
1127C2×#121—731no—
1128C2×C4×Q8—731no—
1129C2×C4×Q8—731no—
1130C2×C4×Q8—731no—
1131C2×C4×Q8—731no—
1132C2×C4×Q8—731no—
1133C2×C4×Q8—731no—
1134C2×C4×Q8—731no—
1135C2×C4×Q8—731no—
1136C2×C4×D4—731no—
1137C2×C4×D4—731no—
1138C2×C4×D4—731no—
1139C2×C4×D4—731no—
1140C2×C4×D4—731no—
1141C2×C4×D4—731no—
1142C2×C4×D4—731no—
1143C2×C4×D4—731no—
1144C2×C4×D4—731no—
1145C2×C4×D4—731no—
1146C2×C4×D4—731no—
1147C2×C4×D4—731no—
1148C2×C4×D4—731no—
1149C2×C4×D4—731no—
1150C2×C4×D4—731no—
1151C2×C4×D4—731no—
1152C2×#117—731no—
1153C2×#117—731no—
1154C2×#117—731no—
1155C2×#117—731no—
1156C2×#117—731no—
1157C2×#117—731no—
1158C22×C4⋊C4—731no—
1159C22×C4⋊C4—731no—
1160C22×C4⋊C4—731no—
1161C22×C4⋊C4—731no—
1162C22×C4⋊C4—731no—
1163C22×C4⋊C4—731no—
1164C22×C42—731no—
1165C2×#41—2924no—
1166C2×#41—2924no—
1167C2×#41—738no—
1168C2×#41—738no—
1169C22×Q8—2924no—
1170C22×Q8—2924no—
1171C22×Q8—2924no—
1172C22×Q8—2924no—
1173C22×Q8—738no—
1174C22×Q8—738no—
1175C22×Q8—738no—
1176C22×Q8—731no—
1177C22×Q8—731no—
1178C22×Q8—731no—
1179C22×Q8—731no—
1180C22×Q8—731no—
1181C22×Q8—738no—
1182C22×Q8—731no—
1183C22×Q8—731no—
1184C22×Q8—731no—
1185C22×Q8—731no—
1186C22×Q8—731no—
1187C22×Q8—731no—
1188C22×Q8C22×D7311yescharacteristic
1189C22×Q8C22×D7311yescharacteristic
1190C22×Q8C22×D7311yescharacteristic
1191C22×D4—731no—
1192C22×D4—731no—
1193C22×D4—731no—
1194C22×D4—731no—
1195C22×D4—731no—
1196C22×D4—731no—
1197C22×D4—731no—
1198C22×D4—731no—
1199C22×D4—731no—
1200C22×D4C22×D7311yescharacteristic
1201C23×C4—731no—
1202C23×C4—731no—
1203C23×C4—731no—
1204C23×C4—731no—
1205C23×C4—731no—
1206C23×C4—731no—
1207C23×C4—731no—
1208C23×C4—731no—
1209C23×C4—731no—
1210C23×C4—731no—
1211C23×C4—731no—
1212C23×C4—731no—
1213C23×C4—731no—
1214C23×C4—731no—
1215C23×C4—731no—
1216C23×C4—731no—
1217C23×C4—731no—
1218C23×C4C22×D7311yescharacteristic
1219C23×C4C22×D7311yescharacteristic
1220C4⋊Q8—738no—
1221C4⋊Q8—738no—
1222C4⋊Q8—738no—
1223C4⋊Q8—738no—
1224C4⋊Q8—738no—
1225C4⋊Q8—738no—
1226C4⋊Q8—738no—
1227C4⋊Q8—738no—
1228C4⋊Q8—738no—
1229C4⋊Q8—738no—
1230C4⋊Q8—738no—
1231C4⋊Q8—738no—
1232C4⋊Q8—738no—
1233C4⋊Q8—738no—
1234C4⋊Q8C22×D7318yes—
1235C4⋊Q8C22×D7318yes—
1236#126—738no—
1237#126—738no—
1238#126—738no—
1239#126—738no—
1240#126—738no—
1241#126—738no—
1242#126—738no—
1243#126—738no—
1244#126—738no—
1245#126—738no—
1246#126—738no—
1247#126—738no—
1248#126C22×D7318yes—
1249#126C22×D7318yes—
1250#126C22×D7318yes—
1251#126C22×D7318yes—
1252#125—738no—
1253#125—738no—
1254#125—738no—
1255#125—738no—
1256#125—738no—
1257#125—738no—
1258#125—738no—
1259#125—738no—
1260#125—738no—
1261#125—738no—
1262#125—738no—
1263#125—738no—
1264#125—738no—
1265#125—738no—
1266#125C22×D7318yes—
1267#125C22×D7318yes—
1268#124—738no—
1269#124—738no—
1270#124—738no—
1271#124—738no—
1272#124—738no—
1273#124—738no—
1274#124—738no—
1275#124C22×D7318yes—
1276#123—738no—
1277#123—738no—
1278#123—738no—
1279#123—738no—
1280#123—738no—
1281#123—738no—
1282#123—738no—
1283#123—738no—
1284#123—738no—
1285#123—738no—
1286#123—738no—
1287#123—738no—
1288#123—738no—
1289#123—738no—
1290#123C22×D7318yes—
1291#123C22×D7318yes—
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⋊Q8—738no—
1304C22⋊Q8—738no—
1305C22⋊Q8—738no—
1306C22⋊Q8—738no—
1307C22⋊Q8—738no—
1308C22⋊Q8—738no—
1309C22⋊Q8—738no—
1310C22⋊Q8—738no—
1311C22⋊Q8—738no—
1312C22⋊Q8—738no—
1313C22⋊Q8—738no—
1314C22⋊Q8—738no—
1315C22⋊Q8—738no—
1316C22⋊Q8—738no—
1317C22⋊Q8—738no—
1318C22⋊Q8—738no—
1319C22⋊Q8—738no—
1320C22⋊Q8C22×D7318yes—
1321C22⋊Q8C22×D7318yes—
1322C22⋊Q8C22×D7318yes—
1323C22⋊Q8C22×D7318yes—
1324#121—738no—
1325#121—738no—
1326#121—738no—
1327#121—738no—
1328#121—738no—
1329#121—738no—
1330#121—738no—
1331#121—738no—
1332C4×Q8—738no—
1333C4×Q8—738no—
1334C4×Q8—738no—
1335C4×Q8—738no—
1336C4×Q8—738no—
1337C4×Q8—738no—
1338C4×Q8—738no—
1339C4×Q8—738no—
1340C4×D4—738no—
1341C4×D4—738no—
1342C4×D4—738no—
1343C4×D4—738no—
1344C4×D4—738no—
1345C4×D4—738no—
1346C4×D4—738no—
1347C4×D4—738no—
1348C4×D4—738no—
1349C4×D4—738no—
1350C4×D4—738no—
1351C4×D4—738no—
1352C4×D4—738no—
1353C4×D4—738no—
1354C4×D4—738no—
1355C4×D4—738no—
1356#117—738no—
1357#117—738no—
1358#117—738no—
1359#117—738no—
1360#117—738no—
1361#117—738no—
1362C2×C4⋊C4—731no—
1363C2×C4⋊C4—731no—
1364C2×C4⋊C4—731no—
1365C2×C4⋊C4—731no—
1366C2×C4⋊C4—731no—
1367C2×C4⋊C4—731no—
1368C2×C4⋊C4—731no—
1369C2×C4⋊C4—731no—
1370C2×C4⋊C4—731no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—731no—
1375C2×C4⋊C4—731no—
1376C2×C4⋊C4—731no—
1377C2×C4⋊C4—731no—
1378C2×C4⋊C4—738no—
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—731no—
1402C2×C4⋊C4—731no—
1403C2×C4⋊C4—731no—
1404C2×C4⋊C4—731no—
1405C2×C4⋊C4—731no—
1406C2×C4⋊C4—731no—
1407C2×C4⋊C4—738no—
1408C2×C4⋊C4—738no—
1409C2×C4⋊C4—738no—
1410C2×C4⋊C4—738no—
1411C2×C4⋊C4—738no—
1412C2×C4⋊C4C22×D7311yescharacteristic
1413C2×C4⋊C4C22×D7311yescharacteristic
1414C2×C4⋊C4C22×D7311yescharacteristic
1415C2×C4⋊C4C22×D7311yescharacteristic
1416C2×C4⋊C4C22×D7311yescharacteristic
1417C2×C4⋊C4C22×D7311yescharacteristic
1418C2×C4⋊C4C22×D7311yescharacteristic
1419C2×C4⋊C4C22×D7311yescharacteristic
1420C2×C4⋊C4C22×D7311yescharacteristic
1421C2×C4⋊C4C22×D7311yescharacteristic
1422C2×C4⋊C4C22×D7311yescharacteristic
1423C2×C4⋊C4C22×D7311yescharacteristic
1424C2×C4⋊C4C22×D7311yescharacteristic
1425C2×C4⋊C4C22×D7311yescharacteristic
1426C2×C4⋊C4C22×D7311yescharacteristic
1427C2×C4⋊C4C22×D7311yescharacteristic
1428C2×C22⋊C4—731no—
1429C2×C22⋊C4—731no—
1430C2×C22⋊C4—731no—
1431C2×C22⋊C4—731no—
1432C2×C22⋊C4—731no—
1433C2×C22⋊C4—731no—
1434C2×C22⋊C4—731no—
1435C2×C22⋊C4—731no—
1436C2×C22⋊C4—731no—
1437C2×C22⋊C4—731no—
1438C2×C22⋊C4—731no—
1439C2×C22⋊C4—731no—
1440C2×C22⋊C4—731no—
1441C2×C22⋊C4—731no—
1442C2×C22⋊C4—731no—
1443C2×C22⋊C4—731no—
1444C2×C22⋊C4—731no—
1445C2×C22⋊C4—731no—
1446C2×C22⋊C4—731no—
1447C2×C22⋊C4—731no—
1448C2×C22⋊C4—731no—
1449C2×C22⋊C4—731no—
1450C2×C22⋊C4—731no—
1451C2×C22⋊C4—731no—
1452C2×C22⋊C4—731no—
1453C2×C22⋊C4—731no—
1454C2×C22⋊C4C22×D7311yescharacteristic
1455C2×C22⋊C4C22×D7311yescharacteristic
1456C2×C22⋊C4C22×D7311yescharacteristic
1457C2×C22⋊C4C22×D7311yescharacteristic
1458C2×C22⋊C4C22×D7311yescharacteristic
1459C2×C22⋊C4C22×D7311yescharacteristic
1460C2×C22⋊C4C22×D7311yescharacteristic
1461C2×C22⋊C4C22×D7311yescharacteristic
1462C2×C22⋊C4C22×D7311yescharacteristic
1463C2×C22⋊C4C22×D7311yescharacteristic
1464C2×C42—731no—
1465C2×C42—731no—
1466C2×C42—731no—
1467C2×C42—731no—
1468C2×C42—731no—
1469C2×C42—731no—
1470C2×C42—731no—
1471C2×C42—731no—
1472C2×C42—731no—
1473C2×C42—731no—
1474C2×C42—731no—
1475C2×C42—731no—
1476C2×C42—731no—
1477C2×C42—738no—
1478C2×C42C22×D7311yescharacteristic
1479C2×C42C22×D7311yescharacteristic
1480C2×C42C22×D7311yescharacteristic
1481C24—731no—
1482C24—731no—
1483C24—731no—
1484C24C23×D7311yescharacteristic
1485C24C23×D7311yescharacteristic
1486#41—29216no—
1487#41—29216no—
1488C2×Q8—42no—
1489C2×Q8—42no—
1490C2×Q8—42no—
1491C2×Q8—2922no—
1492C2×Q8—2922no—
1493C2×Q8—2922no—
1494C2×Q8—2922no—
1495C2×Q8—2922no—
1496C2×Q8—29216no—
1497C2×Q8—29216no—
1498C2×Q8—29216no—
1499C2×Q8—29216no—
1500C2×Q8—734no—
1501C2×Q8—734no—
1502C2×Q8—734no—
1503C2×Q8—734no—
1504C2×Q8—734no—
1505C2×Q8—734no—
1506C2×Q8—734no—
1507C2×Q8—734no—
1508C2×Q8—734no—
1509C2×Q8—734no—
1510C2×Q8—734no—
1511C2×Q8—1464no—
1512C2×Q8—1464no—
1513C2×Q8—1464no—
1514C2×Q8—1464no—
1515C2×Q8—1464no—
1516C2×Q8—1464no—
1517C2×Q8C23×D7314yes—
1518C2×Q8C23×D7314yes—
1519C2×Q8C23×D7314yes—
1520C2×D4—42no—
1521C2×D4—2922no—
1522C2×D4—2922no—
1523C2×D4—2922no—
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—1464no—
1534C2×D4—1464no—
1535C2×D4—1464no—
1536C2×D4—1464no—
1537C2×D4—1464no—
1538C2×D4—1464no—
1539C2×D4C23×D7314yes—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—2922no—
1543C22×C4—2922no—
1544C22×C4—2922no—
1545C22×C4—2922no—
1546C22×C4—2922no—
1547C22×C4—2922no—
1548C22×C4—2922no—
1549C22×C4—2922no—
1550C22×C4—2922no—
1551C22×C4—2922no—
1552C22×C4—734no—
1553C22×C4—734no—
1554C22×C4—734no—
1555C22×C4—734no—
1556C22×C4—734no—
1557C22×C4—734no—
1558C22×C4—734no—
1559C22×C4—734no—
1560C22×C4—734no—
1561C22×C4—734no—
1562C22×C4—731no—
1563C22×C4—731no—
1564C22×C4—734no—
1565C22×C4—734no—
1566C22×C4—731no—
1567C22×C4—731no—
1568C22×C4—731no—
1569C22×C4—731no—
1570C22×C4—731no—
1571C22×C4—731no—
1572C22×C4—731no—
1573C22×C4—731no—
1574C22×C4—731no—
1575C22×C4—731no—
1576C22×C4—731no—
1577C22×C4—734no—
1578C22×C4—734no—
1579C22×C4—734no—
1580C22×C4—734no—
1581C22×C4—734no—
1582C22×C4—1464no—
1583C22×C4—1464no—
1584C22×C4—1464no—
1585C22×C4—1464no—
1586C22×C4—1464no—
1587C22×C4—1464no—
1588C22×C4—1464no—
1589C22×C4C23×D7311yescharacteristic
1590C22×C4C23×D7311yescharacteristic
1591C22×C4C23×D7311yescharacteristic
1592C22×C4C23×D7311yescharacteristic
1593C22×C4C23×D7311yescharacteristic
1594C22×C4C23×D7311yescharacteristic
1595C22×C4C23×D7311yescharacteristic
1596C22×C4C23×D7311yescharacteristic
1597C22×C4C23×D7311yescharacteristic
1598C22×C4C23×D7311yescharacteristic
1599C22×C4C23×D7311yescharacteristic
1600C22×C4C23×D7311yescharacteristic
1601C22×C4C23×D7311yescharacteristic
1602C22×C4C23×D7314yes—
1603C22×C4C23×D7314yes—
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⋊C4—734no—
1639C4⋊C4—734no—
1640C4⋊C4—734no—
1641C4⋊C4—734no—
1642C4⋊C4—734no—
1643C4⋊C4—734no—
1644C4⋊C4—734no—
1645C4⋊C4—734no—
1646C4⋊C4—734no—
1647C4⋊C4—734no—
1648C4⋊C4C23×D7314yes—
1649C4⋊C4C23×D7314yes—
1650C4⋊C4C23×D7314yes—
1651C4⋊C4C23×D7314yes—
1652C4⋊C4C23×D7314yes—
1653C4⋊C4C23×D7314yes—
1654C4⋊C4C23×D7314yes—
1655C4⋊C4C23×D7314yes—
1656C4⋊C4C23×D7314yes—
1657C4⋊C4C23×D7314yes—
1658C4⋊C4C23×D7314yes—
1659C4⋊C4C23×D7314yes—
1660C4⋊C4C23×D7314yes—
1661C4⋊C4C23×D7314yes—
1662C4⋊C4C23×D7314yes—
1663C4⋊C4C23×D7314yes—
1664C22⋊C4—734no—
1665C22⋊C4—734no—
1666C22⋊C4—734no—
1667C22⋊C4—734no—
1668C22⋊C4—734no—
1669C22⋊C4—734no—
1670C22⋊C4—734no—
1671C22⋊C4—734no—
1672C22⋊C4—734no—
1673C22⋊C4—734no—
1674C22⋊C4—734no—
1675C22⋊C4—734no—
1676C22⋊C4—734no—
1677C22⋊C4—734no—
1678C22⋊C4—734no—
1679C22⋊C4—734no—
1680C22⋊C4—734no—
1681C22⋊C4—734no—
1682C22⋊C4—734no—
1683C22⋊C4—734no—
1684C22⋊C4—734no—
1685C22⋊C4—734no—
1686C22⋊C4—734no—
1687C22⋊C4—734no—
1688C22⋊C4—734no—
1689C22⋊C4—734no—
1690C22⋊C4C23×D7314yes—
1691C22⋊C4C23×D7314yes—
1692C22⋊C4C23×D7314yes—
1693C22⋊C4C23×D7314yes—
1694C22⋊C4C23×D7314yes—
1695C22⋊C4C23×D7314yes—
1696C22⋊C4C23×D7314yes—
1697C22⋊C4C23×D7314yes—
1698C22⋊C4C23×D7314yes—
1699C22⋊C4C23×D7314yes—
1700C42—734no—
1701C42—734no—
1702C42—734no—
1703C42—734no—
1704C42—734no—
1705C42—734no—
1706C42—734no—
1707C42—734no—
1708C42—734no—
1709C42—734no—
1710C42—734no—
1711C42—734no—
1712C42—734no—
1713C42C23×D7314yes—
1714C42C23×D7314yes—
1715C42C23×D7314yes—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—734no—
1723C23—732no—
1724C23—732no—
1725C23—732no—
1726C23—1462no—
1727C23—1462no—
1728C23—1462no—
1729C23—1462no—
1730C23—1462no—
1731C23—1462no—
1732C23—1462no—
1733C23—1462no—
1734C23C24×D7312yes—
1735C23C24×D7312yes—
1736C23C24×D7311yescharacteristic
1737Q8—44no—
1738Q8—44no—
1739Q8—44no—
1740Q8—2924no—
1741Q8—2924no—
1742Q8—2924no—
1743Q8—2924no—
1744Q8—2924no—
1745Q8—1468no—
1746Q8—1468no—
1747Q8—1468no—
1748Q8—1468no—
1749Q8—1468no—
1750Q8—1468no—
1751D4—44no—
1752D4—2924no—
1753D4—2924no—
1754D4—2924no—
1755D4—1468no—
1756D4—1468no—
1757D4—1468no—
1758D4—1468no—
1759D4—1468no—
1760D4—1468no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—2924no—
1777C2×C4—2924no—
1778C2×C4—2924no—
1779C2×C4—2924no—
1780C2×C4—2924no—
1781C2×C4—2924no—
1782C2×C4—2924no—
1783C2×C4—2924no—
1784C2×C4—2924no—
1785C2×C4—2924no—
1786C2×C4—734no—
1787C2×C4—734no—
1788C2×C4—732no—
1789C2×C4—732no—
1790C2×C4—732no—
1791C2×C4—732no—
1792C2×C4—732no—
1793C2×C4—732no—
1794C2×C4—732no—
1795C2×C4—732no—
1796C2×C4—732no—
1797C2×C4—732no—
1798C2×C4—732no—
1799C2×C4—732no—
1800C2×C4—732no—
1801C2×C4—1468no—
1802C2×C4—1468no—
1803C2×C4—1468no—
1804C2×C4—1468no—
1805C2×C4—1468no—
1806C2×C4—1468no—
1807C2×C4—1468no—
1808C2×C4—1462no—
1809C2×C4—1462no—
1810C2×C4—1462no—
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×C4C24×D7312yes—
1820C2×C4C24×D7312yes—
1821C2×C4C24×D7312yes—
1822C2×C4C24×D7312yes—
1823C2×C4C24×D7312yes—
1824C2×C4C24×D7312yes—
1825C2×C4C24×D7312yes—
1826C2×C4C24×D7312yes—
1827C2×C4C24×D7312yes—
1828C2×C4C24×D7312yes—
1829C2×C4C24×D7312yes—
1830C2×C4C24×D7312yes—
1831C2×C4C24×D7312yes—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—44no—
1839C22—44no—
1840C22—2924no—
1841C22—2924no—
1842C22—734no—
1843C22—1462no—
1844C22—1462no—
1845C22—1462no—
1846C22—1462no—
1847C22—1462no—
1848C22—1462no—
1849C22—1468no—
1850C22—1462no—
1851C22—1462no—
1852C22H(5,𝔽2)×D7312yes—
1853C222−1+4×D7312yes—
1854C222−1+4×D7312yes—
1855C22C25×D7311yescharacteristic
1856C4—22no—
1857C4—22no—
1858C4—22no—
1859C4—22no—
1860C4—22no—
1861C4—22no—
1862C4—22no—
1863C4—22no—
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—22no—
1868C4—22no—
1869C4—734no—
1870C4—734no—
1871C4—1462no—
1872C4—1462no—
1873C4—1462no—
1874C4—1462no—
1875C4—1462no—
1876C4—1462no—
1877C4—1462no—
1878C4—1462no—
1879C4—1462no—
1880C4—1462no—
1881C4—1462no—
1882C2—42no—
1883C2—42no—
1884C2—2922no—
1885C2—2922no—
1886C2—1464no—
1887C2#2262436514yesdirect product factor
1888C2C2×H(5,𝔽2)×D7311yescharacteristic
1889C2C2×2−1+4×D7311yescharacteristic
1890C2C2×2−1+4×D7311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#563×C73C2
socleC23×C73C25
hypercenterC2×#563D73
hypocenterC73C2×#3552
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #22624365C2direct (N × H)
2. C2×#17989339C2semidirect
3. C2×#17989339C2semidirect
4. C2×#17989336C2semidirect
5. C2×#17989314C2semidirect
6. C2×#17989304C2semidirect
7. C2×#17989293C2semidirect
8. C2×#17989291C2semidirect
9. C2×#17989288C2semidirect
10. C2×#17989282C2semidirect
11. C2×#17989252C2semidirect
12. C2×#17989250C2semidirect
13. C2×#17989250C2semidirect
14. C2×#17989247C2semidirect
15. C2×#17989245C2semidirect
16. C2×#17989235C2semidirect
17. C2×#17989216C2semidirect
18. C2×#17989214C2semidirect
19. C2×#17989207C2semidirect
20. C2×#17989201C2semidirect
21. C2×#17989196C2semidirect
22. C2×#17989194C2semidirect
23. C2×#17989185C2semidirect
24. C2×#17989183C2semidirect
25. C2×#17989180C2semidirect
26. C2×#17989178C2semidirect
27. C2×#17989160C2semidirect
28. C2×#17989159C2semidirect
29. C2×C4⋊Q8×D73C2semidirect
30. C2×#17989120C2semidirect
31. C2×#17989120C2semidirect
32. C2×#563×C73C2semidirect
39. #17989339C22semidirect
40. #17989339C22semidirect
41. #17989336C22semidirect
42. #17989314C22semidirect
43. #17989304C22semidirect
44. #17989293C22semidirect
45. #17989291C22semidirect
46. #17989288C22semidirect
47. #17989282C22semidirect
48. #17989252C22semidirect
49. #17989250C22semidirect
50. #17989250C22semidirect
51. #17989247C22semidirect
52. #17989245C22semidirect
53. #17989235C22semidirect
54. #17989216C22semidirect
55. #17989214C22semidirect
56. #17989207C22semidirect
57. #17989201C22semidirect
58. #17989196C22semidirect
59. #17989194C22semidirect
60. #17989185C22semidirect
61. #17989183C22semidirect
62. #17989180C22semidirect
63. #17989178C22semidirect
64. #17989160C22semidirect
65. #17989159C22semidirect
80. C4⋊Q8×D73C22semidirect
81. #17989120C22semidirect
82. #17989120C22semidirect
203. #563×C73C22semidirect
939. C2×C73#3552semidirect
950. C2×#563D73semidirect
978. C73C2×#3552semidirect
988. #563C2×D73semidirect
1887. C2#22624365direct (N × H)

Maximal subgroups

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

subgroupindex
#226243652
C2×#179893392
C2×#179893362
C2×#179893142
C2×#179893042
C2×#179892932
C2×#179892912
C2×#179892882
C2×#179892822
C2×#179892522
C2×#179892502
C2×#179892472
C2×#179892452
C2×#179892352
C2×#179892162
C2×#179892142
C2×#179892072
C2×#179892012
C2×#179891962
C2×#179891942
C2×#179891852
C2×#179891832
C2×#179891802
C2×#179891782
C2×#179891602
C2×#179891592
C2×C4⋊Q8×D732
C2×#179891202
C2×#563×C732
C2×#355273