Finite Group Databasebeta

← C2×#22623972 #33993993

Subgroups — C2×#22623972 #33993993

Order 18688.

7910 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623972C2132yesmaximal, direct product factor
2C2×#17989304C211yesmaximal, characteristic, complemented
3C2×#17989293C211yesmaximal, characteristic, complemented
4C2×#17989291C211yesmaximal, characteristic, complemented
5C2×#17989274C211yesmaximal, characteristic, complemented
6C2×#17989269C211yesmaximal, characteristic, complemented
7C2×#17989265C211yesmaximal, characteristic, complemented
8C2×#17989264C211yesmaximal, characteristic, complemented
9C2×#17989262C211yesmaximal, characteristic, complemented
10C2×#17989260C211yesmaximal, characteristic, complemented
11C2×#17989250C211yesmaximal, characteristic, complemented
12C2×#17989247C211yesmaximal, characteristic, complemented
13C2×#17989243C211yesmaximal, characteristic, complemented
14C2×#17989235C211yesmaximal, characteristic, complemented
15C2×#17989235C211yesmaximal, characteristic, complemented
16C2×#17989229C211yesmaximal, characteristic, complemented
17C2×#17989226C211yesmaximal, characteristic, complemented
18C2×#17989207C211yesmaximal, characteristic, complemented
19C2×#17989205C211yesmaximal, characteristic, complemented
20C2×#17989185C211yesmaximal, characteristic, complemented
21C2×#17989179C211yesmaximal, characteristic, complemented
22C2×#17989178C211yesmaximal, characteristic, complemented
23C2×#17989143C211yesmaximal, characteristic, complemented
24C2×#17989120C211yesmaximal, characteristic, complemented
25C2×#17989096C211yesmaximal, characteristic, complemented
26C2×#17989095C211yesmaximal, characteristic, complemented
27C22×#14556569C211yesmaximal, characteristic, complemented
28C2×C22⋊Q8×D73C211yesmaximal, characteristic, complemented
29C2×#17989068C211yesmaximal, characteristic, complemented
30C2×#17989066C211yesmaximal, characteristic, complemented
31C2×C4×D4×D73C211yesmaximal, characteristic, complemented
32C2×#539×C73C211yesmaximal, characteristic, complemented
33C22×#11924028C2211yescharacteristic
34C22×#11924028C2211yescharacteristic, complemented
35C22×#11924027C2211yescharacteristic
36C22×#11924027C2211yescharacteristic, complemented
37C23×Dic146C2211yescharacteristic, complemented
38C22×Q8×D73C2211yescharacteristic, complemented
39C22×D4×D73C2211yescharacteristic
40C23×C4×D73C2211yescharacteristic
41C23×C4×D73C2211yescharacteristic
42#17989304C22116yescomplemented
43#17989293C22116yescomplemented
44#17989291C22116yescomplemented
45#17989274C22116yescomplemented
46#17989269C22116yescomplemented
47#17989265C22116yescomplemented
48#17989264C22116yescomplemented
49#17989262C22116yescomplemented
50#17989260C22116yescomplemented
51#17989250C22116yescomplemented
52#17989247C22116yescomplemented
53#17989243C22116yescomplemented
54#17989235C22116yescomplemented
55#17989235C22116yescomplemented
56#17989229C22116yescomplemented
57#17989226C22116yescomplemented
58#17989207C22116yescomplemented
59#17989205C22116yescomplemented
60#17989185C22116yescomplemented
61#17989179C22116yescomplemented
62#17989178C22116yescomplemented
63#17989143C22116yescomplemented
64C2×#14556590C2211yescharacteristic, complemented
65C2×#14556590C2211yescharacteristic, complemented
66C2×#14556590C2211yescharacteristic, complemented
67C2×#14556589C2211yescharacteristic, complemented
68#17989120C22116yescomplemented
69C2×#14556586C2211yescharacteristic, complemented
70C2×#14556586C2211yescharacteristic, complemented
71C2×#14556586C2211yescharacteristic, complemented
72C2×#14556586C2211yescharacteristic, complemented
73C2×#14556585C2211yescharacteristic, complemented
74C2×#14556584C2211yescharacteristic, complemented
75C2×#14556584C2211yescharacteristic, complemented
76C2×#14556584C2211yescharacteristic, complemented
77C2×#14556583C2211yescharacteristic, complemented
78C2×#14556582C2211yescharacteristic, complemented
79C2×#14556581C2211yescharacteristic, complemented
80C2×#14556581C2211yescharacteristic, complemented
81C2×#14556581C2211yescharacteristic, complemented
82C2×#14556580C2211yescharacteristic, complemented
83C2×#14556578C2211yescharacteristic, complemented
84C2×#14556577C2211yescharacteristic
85C2×#14556577C2211yescharacteristic
86C2×#14556577C2211yescharacteristic, complemented
87C2×#14556577C2211yescharacteristic, complemented
88C2×#14556577C2211yescharacteristic, complemented
89#17989096C22116yescomplemented
90#17989095C22116yescomplemented
91C2×#14556576C2211yescharacteristic
92C2×#14556576C2211yescharacteristic
93C2×#14556576C2211yescharacteristic
94C2×#14556576C2211yescharacteristic, complemented
95C2×#14556576C2211yescharacteristic, complemented
96C2×#14556576C2211yescharacteristic, complemented
97C2×#14556575C2211yescharacteristic, complemented
98C2×#14556575C2211yescharacteristic, complemented
99C2×#14556574C2211yescharacteristic, complemented
100C2×#14556573C2211yescharacteristic
101C2×#14556573C2211yescharacteristic, complemented
102C2×#14556573C2211yescharacteristic, complemented
103C2×#14556573C2211yescharacteristic, complemented
104C2×#14556572C2211yescharacteristic
105C2×#14556571C2211yescharacteristic
106C2×#14556571C2211yescharacteristic, complemented
107C2×#14556571C2211yescharacteristic, complemented
108C2×#14556570C2211yescharacteristic, complemented
109C2×#14556569C2211yescharacteristic
110C2×#14556569C2211yescharacteristic
111C2×#14556569C2211yescharacteristic
112C2×#14556569C2211yescharacteristic
113C2×#14556569C2211yescharacteristic
114C2×#14556569C2211yescharacteristic
115C2×#14556569C2211yescharacteristic
116C2×#14556569C2211yescharacteristic, complemented
117C2×#14556569C2211yescharacteristic, complemented
118C2×#14556569C2211yescharacteristic, complemented
119C2×#14556569C2211yescharacteristic, complemented
120C2×#14556569C2211yescharacteristic, complemented
121C2×#14556569C2211yescharacteristic, complemented
122C2×#14556569C2211yescharacteristic, complemented
123C2×#14556569C2211yescharacteristic, complemented
124C2×#14556569C22116yescomplemented
125C2×#14556568C2211yescharacteristic, complemented
126C2×#14556568C2211yescharacteristic, complemented
127C2×#14556568C2211yescharacteristic, complemented
128C2×#14556568C2211yescharacteristic, complemented
129C2×#14556568C2211yescharacteristic, complemented
130C2×#14556568C2211yescharacteristic, complemented
131C2×#14556567C2211yescharacteristic
132C22⋊Q8×D73C22116yescomplemented
133C2×#14556566C2211yescharacteristic
134C2×#14556564C2211yescharacteristic
135C2×#14556564C2211yescharacteristic
136C2×#14556564C2211yescharacteristic
137C2×#14556564C2211yescharacteristic, complemented
138C2×#14556563C2211yescharacteristic
139C2×#14556563C2211yescharacteristic
140C2×#14556563C2211yescharacteristic, complemented
141C2×#14556561C2211yescharacteristic
142C2×#14556561C2211yescharacteristic
143C2×#14556559C2211yescharacteristic
144C2×#14556559C2211yescharacteristic
145#17989068C22116yescomplemented
146#17989066C22116yescomplemented
147C2×C4×Dic146C2211yescharacteristic, complemented
148C2×#14556556C2211yescharacteristic, complemented
149C2×#14556556C2211yescharacteristic, complemented
150C2×#14556556C2211yescharacteristic, complemented
151C2×#14556556C2211yescharacteristic, complemented
152C2×#14556556C2211yescharacteristic, complemented
153C2×#14556556C2211yescharacteristic, complemented
154C2×C4×D292C2211yescharacteristic
155C2×C4×D292C2211yescharacteristic
156C2×D4×Dic73C2211yescharacteristic
157C2×D4×Dic73C2211yescharacteristic, complemented
158C2×#14556553C2211yescharacteristic
159C2×#14556553C2211yescharacteristic
160C2×#14556553C2211yescharacteristic
161C2×#14556553C2211yescharacteristic, complemented
162C2×#14556553C2211yescharacteristic, complemented
163C2×C4×C22⋊D73C2211yescharacteristic
164C2×C4×C22⋊D73C2211yescharacteristic
165C2×C4×C22⋊D73C2211yescharacteristic
166C2×C4×C22⋊D73C2211yescharacteristic
167C2×C4×C22⋊D73C2211yescharacteristic, complemented
168C2×C4×C22⋊D73C2211yescharacteristic, complemented
169C2×C4×C22⋊D73C2211yescharacteristic, complemented
170C2×#14556551C2211yescharacteristic
171C2×#14556551C2211yescharacteristic
172C2×#14556551C2211yescharacteristic
173C2×#14556551C2211yescharacteristic
174C2×#14556551C2211yescharacteristic
175C2×#14556551C2211yescharacteristic, complemented
176C2×#14556551C2211yescharacteristic, complemented
177C4×D4×D73C22116yescomplemented
178C2×#14556550C2211yescharacteristic, complemented
179C2×#14556549C2211yescharacteristic
180C2×#14556549C2211yescharacteristic
181C2×#14556549C2211yescharacteristic, complemented
182C2×#14556549C2211yescharacteristic, complemented
183C2×#14556548C2211yescharacteristic, complemented
184C2×#14556548C2211yescharacteristic, complemented
185C2×#14556547C2211yescharacteristic, complemented
186C2×#14556547C2211yescharacteristic, complemented
187C2×#14556547C2211yescharacteristic, complemented
188C22×#11924007C2211yescharacteristic, complemented
189C22×#11924007C2211yescharacteristic, complemented
190C22×#11924007C2211yescharacteristic, complemented
191C2×C4⋊C4×D73C2211yescharacteristic
192C2×C4⋊C4×D73C2211yescharacteristic, complemented
193C2×C4⋊C4×D73C2211yescharacteristic, complemented
194C2×C4⋊C4×D73C2211yescharacteristic, complemented
195C2×C4⋊C4×D73C2211yescharacteristic, complemented
196C22×#11924005C2211yescharacteristic
197C22×#11924005C2211yescharacteristic
198C2×C22⋊C4×D73C2211yescharacteristic
199C2×C22⋊C4×D73C2211yescharacteristic
200C2×C22⋊C4×D73C2211yescharacteristic
201C2×C22⋊C4×D73C2211yescharacteristic
202C2×C42×D73C2211yescharacteristic
203#539×C73C22116yescomplemented
204C2×#126×C73C2211yescharacteristic, complemented
205C2×#126×C73C2211yescharacteristic, complemented
206C2×#125×C73C2211yescharacteristic, complemented
207C2×#125×C73C2211yescharacteristic, complemented
208C2×#123×C73C2211yescharacteristic
209C2×#123×C73C2211yescharacteristic, complemented
210C2×#123×C73C2211yescharacteristic, complemented
211C2×#123×C73C2211yescharacteristic, complemented
212C2×C22⋊Q8×C73C2211yescharacteristic, complemented
213C2×C22⋊Q8×C73C2211yescharacteristic, complemented
214C2×C22⋊Q8×C73C2211yescharacteristic, complemented
215C2×#121×C73C2211yescharacteristic
216C2×C4×D4×C73C2211yescharacteristic
217C2×C4×D4×C73C2211yescharacteristic, complemented
218C22×C4⋊C4×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221C2×#11924028—28no—
222C2×#11924028—44no—
223C2×#11924028C2318yes—
224C2×#11924028C2318yescomplemented
225C2×#11924027—28no—
226C2×#11924027—44no—
227C2×#11924027C2318yes—
228C2×#11924027C2318yescomplemented
229C22×Dic146—44no—
230C22×Dic146C2311yescharacteristic
231C22×Dic146C2311yescharacteristic
232C22×Dic146C2311yescharacteristic
233C22×Dic146C2311yescharacteristic
234C22×Dic146C2311yescharacteristic
235C22×Dic146C2311yescharacteristic
236C22×Dic146C2311yescharacteristic
237C22×Dic146C2311yescharacteristic
238C22×Dic146C2318yescomplemented
239C2×Q8×D73—44no—
240C2×Q8×D73C2318yescomplemented
241C22×D292C2311yescharacteristic
242C22×D292C2311yescharacteristic
243C22×D292C2311yescharacteristic
244C22×D292C2311yescharacteristic
245C22×C22⋊D73C2311yescharacteristic
246C22×C22⋊D73C2311yescharacteristic
247C22×C22⋊D73C2311yescharacteristic
248C22×C22⋊D73C2311yescharacteristic
249C22×C22⋊D73C2311yescharacteristic
250C22×C22⋊D73C2311yescharacteristic
251C22×C22⋊D73C2311yescharacteristic
252C22×C22⋊D73C2311yescharacteristic
253C2×D4×D73—28no—
254C2×D4×D73C2318yes—
255C23×Dic73C2311yescharacteristic
256C23×Dic73C2311yescharacteristic
257C23×Dic73C2311yescharacteristic
258C23×Dic73C2311yescharacteristic
259C23×Dic73C2311yescharacteristic
260C23×Dic73C2311yescharacteristic
261C22×C4×D73—44no—
262C22×C4×D73—44no—
263C22×C4×D73C2311yescharacteristic
264C22×C4×D73C2311yescharacteristic
265C22×C4×D73C2311yescharacteristic
266C22×C4×D73C2311yescharacteristic
267C22×C4×D73C2311yescharacteristic
268C22×C4×D73C2311yescharacteristic
269C22×C4×D73C2311yescharacteristic
270C22×C4×D73C2311yescharacteristic
271C22×C4×D73C2311yescharacteristic
272C22×C4×D73C2311yescharacteristic
273C22×C4×D73C2311yescharacteristic
274C22×C4×D73C2318yes—
275C22×C4×D73C2318yes—
276C22×C4×D73C2311yescharacteristic
277C22×C4×D73C2311yescharacteristic
278C22×C4×D73C2311yescharacteristic
279C22×C4×D73C2311yescharacteristic
280C22×C4×D73C2311yescharacteristic
281#14556590C2318yescomplemented
282#14556590C2318yescomplemented
283#14556590C2318yescomplemented
284#14556589C2318yescomplemented
285#14556586C2318yescomplemented
286#14556586C2318yescomplemented
287#14556586C2318yescomplemented
288#14556586C2318yescomplemented
289#14556585C2318yescomplemented
290#14556584C2318yescomplemented
291#14556584C2318yescomplemented
292#14556584C2318yescomplemented
293#14556583C2318yescomplemented
294#14556582C2318yescomplemented
295#14556581C2318yescomplemented
296#14556581C2318yescomplemented
297#14556581C2318yescomplemented
298#14556580C2318yescomplemented
299#14556578C2318yescomplemented
300#14556577C2318yes—
301#14556577C2318yes—
302#14556577C2318yescomplemented
303#14556577C2318yescomplemented
304#14556577C2318yescomplemented
305#14556576C2318yes—
306#14556576C2318yes—
307#14556576C2318yes—
308#14556576C2318yescomplemented
309#14556576C2318yescomplemented
310#14556576C2318yescomplemented
311#14556575C2318yescomplemented
312#14556575C2318yescomplemented
313#14556574C2318yescomplemented
314#14556573C2318yes—
315#14556573C2318yescomplemented
316#14556573C2318yescomplemented
317#14556573C2318yescomplemented
318#14556572C2318yes—
319#14556571C2318yes—
320#14556571C2318yescomplemented
321#14556571C2318yescomplemented
322#14556570C2318yescomplemented
323#14556569C2318yes—
324#14556569C2318yes—
325#14556569C2318yes—
326#14556569C2318yes—
327#14556569C2318yes—
328#14556569C2318yes—
329#14556569C2318yes—
330#14556569C2318yescomplemented
331#14556569C2318yescomplemented
332#14556569C2318yescomplemented
333#14556569C2318yescomplemented
334#14556569C2318yescomplemented
335#14556569C2318yescomplemented
336#14556569C2318yescomplemented
337#14556569C2318yescomplemented
338#14556568C2318yescomplemented
339#14556568C2318yescomplemented
340#14556568C2318yescomplemented
341#14556568C2318yescomplemented
342#14556568C2318yescomplemented
343#14556568C2318yescomplemented
344#14556567C2318yes—
345#14556566C2318yes—
346#14556564C2318yes—
347#14556564C2318yes—
348#14556564C2318yes—
349#14556564C2318yescomplemented
350#14556563C2318yes—
351#14556563C2318yes—
352#14556563C2318yescomplemented
353#14556561C2318yes—
354#14556561C2318yes—
355#14556559C2318yes—
356#14556559C2318yes—
357C4×Dic146C2318yescomplemented
358#14556556C2318yescomplemented
359#14556556C2318yescomplemented
360#14556556C2318yescomplemented
361#14556556C2318yescomplemented
362#14556556C2318yescomplemented
363#14556556C2318yescomplemented
364C4×D292C2318yes—
365C4×D292C2318yes—
366D4×Dic73C2318yes—
367D4×Dic73C2318yescomplemented
368#14556553C2318yes—
369#14556553C2318yes—
370#14556553C2318yes—
371#14556553C2318yescomplemented
372#14556553C2318yescomplemented
373C4×C22⋊D73C2318yes—
374C4×C22⋊D73C2318yes—
375C4×C22⋊D73C2318yes—
376C4×C22⋊D73C2318yes—
377C4×C22⋊D73C2318yescomplemented
378C4×C22⋊D73C2318yescomplemented
379C4×C22⋊D73C2318yescomplemented
380#14556551C2318yes—
381#14556551C2318yes—
382#14556551C2318yes—
383#14556551C2318yes—
384#14556551C2318yes—
385#14556551C2318yescomplemented
386#14556551C2318yescomplemented
387#14556550C2318yescomplemented
388#14556549C2318yes—
389#14556549C2318yes—
390#14556549C2318yescomplemented
391#14556549C2318yescomplemented
392#14556548C2318yescomplemented
393#14556548C2318yescomplemented
394#14556547C2318yescomplemented
395#14556547C2318yescomplemented
396#14556547C2318yescomplemented
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×#11924007C2311yescharacteristic
406C2×#11924007C2311yescharacteristic
407C2×#11924007C2311yescharacteristic
408C2×#11924007C2311yescharacteristic
409C2×#11924007C2311yescharacteristic
410C2×#11924007C2311yescharacteristic
411C2×#11924007C2311yescharacteristic
412C2×#11924007C2311yescharacteristic
413C2×#11924007C2311yescharacteristic
414C2×#11924007C2311yescharacteristic
415C2×#11924007C2311yescharacteristic
416C2×#11924007C2311yescharacteristic
417C2×#11924007C2311yescharacteristic
418C2×#11924007C2311yescharacteristic
419C2×#11924007C2311yescharacteristic
420C2×#11924007C2311yescharacteristic
421C2×#11924007C2311yescharacteristic
422C2×#11924007C2311yescharacteristic
423C2×#11924007C2311yescharacteristic
424C2×#11924007C2311yescharacteristic
425C2×#11924007C2311yescharacteristic
426C2×#11924007C2311yescharacteristic
427C2×#11924007C2311yescharacteristic
428C2×#11924007C2311yescharacteristic
429C2×#11924007C2318yescomplemented
430C2×#11924007C2318yescomplemented
431C2×#11924007C2318yescomplemented
432C4⋊C4×D73C2318yes—
433C4⋊C4×D73C2318yescomplemented
434C4⋊C4×D73C2318yescomplemented
435C4⋊C4×D73C2318yescomplemented
436C4⋊C4×D73C2318yescomplemented
437C2×C22⋊Dic73C2311yescharacteristic
438C2×C22⋊Dic73C2311yescharacteristic
439C2×C22⋊Dic73C2311yescharacteristic
440C2×C22⋊Dic73C2311yescharacteristic
441C2×C22⋊Dic73C2311yescharacteristic
442C2×C22⋊Dic73C2311yescharacteristic
443C2×C22⋊Dic73C2311yescharacteristic
444C2×C22⋊Dic73C2311yescharacteristic
445C2×#11924005C2318yes—
446C2×#11924005C2318yes—
447C2×#11924005C2311yescharacteristic
448C2×#11924005C2311yescharacteristic
449C2×#11924005C2311yescharacteristic
450C2×#11924005C2311yescharacteristic
451C2×#11924005C2311yescharacteristic
452C2×#11924005C2311yescharacteristic
453C2×#11924005C2311yescharacteristic
454C2×#11924005C2311yescharacteristic
455C2×#11924005C2311yescharacteristic
456C2×#11924005C2311yescharacteristic
457C2×#11924005C2311yescharacteristic
458C2×#11924005C2311yescharacteristic
459C2×#11924005C2311yescharacteristic
460C2×#11924005C2311yescharacteristic
461C2×#11924005C2311yescharacteristic
462C2×#11924005C2311yescharacteristic
463C2×#11924005C2311yescharacteristic
464C2×#11924005C2311yescharacteristic
465C2×#11924005C2311yescharacteristic
466C2×#11924005C2311yescharacteristic
467C2×#11924005C2311yescharacteristic
468C2×#11924005C2311yescharacteristic
469C2×#11924005C2311yescharacteristic
470C2×#11924005C2311yescharacteristic
471C22⋊C4×D73C2318yes—
472C22⋊C4×D73C2318yes—
473C22⋊C4×D73C2318yes—
474C22⋊C4×D73C2318yes—
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
484C2×C4×Dic73C2311yescharacteristic
485C2×C4×Dic73C2311yescharacteristic
486C2×C4×Dic73C2311yescharacteristic
487C42×D73C2318yes—
488C22×Q8×C73C2311yescharacteristic
489C22×D4×C73C2311yescharacteristic
490C22×D4×C73C2311yescharacteristic
491C22×D4×C73C2311yescharacteristic
492C23×C4×C73C2311yescharacteristic
493C23×C4×C73C2311yescharacteristic
494C23×C4×C73C2311yescharacteristic
495C23×C4×C73C2311yescharacteristic
496C23×C4×C73C2311yescharacteristic
497#126×C73C2318yescomplemented
498#126×C73C2318yescomplemented
499#125×C73C2318yescomplemented
500#125×C73C2318yescomplemented
501#123×C73C2318yes—
502#123×C73C2318yescomplemented
503#123×C73C2318yescomplemented
504#123×C73C2318yescomplemented
505C22⋊Q8×C73C2318yescomplemented
506C22⋊Q8×C73C2318yescomplemented
507C22⋊Q8×C73C2318yescomplemented
508#121×C73C2318yes—
509C4×D4×C73C2318yes—
510C4×D4×C73C2318yescomplemented
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×C4⋊C4×C73C2311yescharacteristic
523C2×C4⋊C4×C73C2311yescharacteristic
524C2×C4⋊C4×C73C2311yescharacteristic
525C2×C4⋊C4×C73C2318yescomplemented
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×C22⋊C4×C73C2311yescharacteristic
533C2×C22⋊C4×C73C2311yescharacteristic
534C2×C22⋊C4×C73C2311yescharacteristic
535C2×C22⋊C4×C73C2311yescharacteristic
536C2×C42×C73C2311yescharacteristic
537C2×C42×C73C2311yescharacteristic
538C23×D73—24no—
539C23×D73—24no—
540C23×D73—24no—
541C23×D73—24no—
542C23×D73—42no—
543C23×D73—42no—
544C23×D73C2411yescharacteristic
545C23×D73C2411yescharacteristic
546C23×D73C2414yes—
547C23×D73C2414yes—
548C23×D73C2411yescharacteristic
549C23×D73C2411yescharacteristic
550#11924028—232no—
551#11924028—416no—
552#11924027—232no—
553#11924027—416no—
554C2×Dic146—24no—
555C2×Dic146—24no—
556C2×Dic146—24no—
557C2×Dic146—24no—
558C2×Dic146—24no—
559C2×Dic146—416no—
560C2×Dic146—42no—
561C2×Dic146—42no—
562C2×Dic146—42no—
563C2×Dic146C2414yes—
564C2×Dic146C2414yes—
565C2×Dic146C2414yes—
566C2×Dic146C2414yes—
567C2×Dic146C2414yes—
568C2×Dic146C2414yes—
569C2×Dic146C2414yes—
570C2×Dic146C2414yes—
571Q8×D73—416no—
572C2×D292—24no—
573C2×D292—24no—
574C2×D292—24no—
575C2×D292—42no—
576C2×D292C2414yes—
577C2×D292C2414yes—
578C2×D292C2414yes—
579C2×D292C2414yes—
580C2×C22⋊D73—24no—
581C2×C22⋊D73—24no—
582C2×C22⋊D73—24no—
583C2×C22⋊D73—24no—
584C2×C22⋊D73—24no—
585C2×C22⋊D73—42no—
586C2×C22⋊D73—42no—
587C2×C22⋊D73#4118yescomplemented
588C2×C22⋊D73C2414yes—
589C2×C22⋊D73C2414yes—
590C2×C22⋊D73C2414yes—
591C2×C22⋊D73C2414yes—
592C2×C22⋊D73C2414yes—
593C2×C22⋊D73C2414yes—
594C2×C22⋊D73C2414yes—
595C2×C22⋊D73C2414yes—
596D4×D73—232no—
597C22×Dic73—24no—
598C22×Dic73—24no—
599C22×Dic73—24no—
600C22×Dic73—24no—
601C22×Dic73—42no—
602C22×Dic73—42no—
603C22×Dic73C2411yescharacteristic
604C22×Dic73C2411yescharacteristic
605C22×Dic73C2411yescharacteristic
606C22×Dic73C2411yescharacteristic
607C22×Dic73C2411yescharacteristic
608C22×Dic73C2411yescharacteristic
609C22×Dic73C2411yescharacteristic
610C22×Dic73C2411yescharacteristic
611C22×Dic73C2411yescharacteristic
612C22×Dic73C2411yescharacteristic
613C22×Dic73C2414yes—
614C22×Dic73C2414yes—
615C22×Dic73C2414yes—
616C22×Dic73C2414yes—
617C22×Dic73C2414yes—
618C22×Dic73C2414yes—
619C22×Dic73C2411yescharacteristic
620C22×Dic73C2411yescharacteristic
621C2×C4×D73—24no—
622C2×C4×D73—24no—
623C2×C4×D73—24no—
624C2×C4×D73—24no—
625C2×C4×D73—24no—
626C2×C4×D73—24no—
627C2×C4×D73—24no—
628C2×C4×D73—24no—
629C2×C4×D73—416no—
630C2×C4×D73—416no—
631C2×C4×D73—42no—
632C2×C4×D73—42no—
633C2×C4×D73—42no—
634C2×C4×D73—42no—
635C2×C4×D73—42no—
636C2×C4×D73—42no—
637C2×C4×D73—42no—
638C2×C4×D73—42no—
639C2×C4×D73C2414yes—
640C2×C4×D73C2414yes—
641C2×C4×D73C2414yes—
642C2×C4×D73C2414yes—
643C2×C4×D73C2414yes—
644C2×C4×D73C2414yes—
645C2×C4×D73C2414yes—
646C2×C4×D73C2414yes—
647C2×C4×D73C2414yes—
648C2×C4×D73C2414yes—
649C2×C4×D73C2414yes—
650C2×C4×D73C2414yes—
651C2×C4×D73C2414yes—
652C2×C4×D73C2414yes—
653C2×C4×D73C2414yes—
654C2×C4×D73C2414yes—
655C4⋊Dic73C2414yes—
656C4⋊Dic73C2414yes—
657C4⋊Dic73C2414yes—
658C4⋊Dic73C2414yes—
659C4⋊Dic73C2414yes—
660C4⋊Dic73C2414yes—
661C4⋊Dic73C2414yes—
662C4⋊Dic73C2414yes—
663#11924007C2414yes—
664#11924007C2414yes—
665#11924007C2414yes—
666#11924007C2414yes—
667#11924007C2414yes—
668#11924007C2414yes—
669#11924007C2414yes—
670#11924007C2414yes—
671#11924007C2414yes—
672#11924007C2414yes—
673#11924007C2414yes—
674#11924007C2414yes—
675#11924007C2414yes—
676#11924007C2414yes—
677#11924007C2414yes—
678#11924007C2414yes—
679#11924007C2414yes—
680#11924007C2414yes—
681#11924007C2414yes—
682#11924007C2414yes—
683#11924007C2414yes—
684#11924007C2414yes—
685#11924007C2414yes—
686#11924007C2414yes—
687C22⋊Dic73C2414yes—
688C22⋊Dic73C2414yes—
689C22⋊Dic73C2414yes—
690C22⋊Dic73C2414yes—
691C22⋊Dic73C2414yes—
692C22⋊Dic73C2414yes—
693C22⋊Dic73C2414yes—
694C22⋊Dic73C2414yes—
695#11924005C2414yes—
696#11924005C2414yes—
697#11924005C2414yes—
698#11924005C2414yes—
699#11924005C2414yes—
700#11924005C2414yes—
701#11924005C2414yes—
702#11924005C2414yes—
703#11924005C2414yes—
704#11924005C2414yes—
705#11924005C2414yes—
706#11924005C2414yes—
707#11924005C2414yes—
708#11924005C2414yes—
709#11924005C2414yes—
710#11924005C2414yes—
711#11924005C2414yes—
712#11924005C2414yes—
713#11924005C2414yes—
714#11924005C2414yes—
715#11924005C2414yes—
716#11924005C2414yes—
717#11924005C2414yes—
718#11924005C2414yes—
719C4×Dic73C2414yes—
720C4×Dic73C2414yes—
721C4×Dic73C2414yes—
722C4×Dic73C2414yes—
723C4×Dic73C2414yes—
724C4×Dic73C2414yes—
725C4×Dic73C2414yes—
726C4×Dic73C2414yes—
727C4×Dic73C2414yes—
728C4×Dic73C2414yes—
729C4×Dic73C2414yes—
730C4×Dic73C2414yes—
731C24×C73C2411yescharacteristic
732C24×C73C2411yescharacteristic
733C24×C73C2411yescharacteristic
734C2×Q8×C73—42no—
735C2×Q8×C73C2414yes—
736C2×D4×C73—24no—
737C2×D4×C73—24no—
738C2×D4×C73—42no—
739C2×D4×C73C2414yes—
740C2×D4×C73C2414yes—
741C2×D4×C73C2414yes—
742C22×C4×C73—24no—
743C22×C4×C73—42no—
744C22×C4×C73—42no—
745C22×C4×C73—42no—
746C22×C4×C73—42no—
747C22×C4×C73C2411yescharacteristic
748C22×C4×C73C2411yescharacteristic
749C22×C4×C73C2411yescharacteristic
750C22×C4×C73C2411yescharacteristic
751C22×C4×C73C2411yescharacteristic
752C22×C4×C73C2411yescharacteristic
753C22×C4×C73C2411yescharacteristic
754C22×C4×C73C2411yescharacteristic
755C22×C4×C73C2411yescharacteristic
756C22×C4×C73C2411yescharacteristic
757C22×C4×C73C2411yescharacteristic
758C22×C4×C73C2411yescharacteristic
759C22×C4×C73C2414yes—
760C22×C4×C73C2414yes—
761C22×C4×C73C2414yes—
762C22×C4×C73C2414yes—
763C22×C4×C73C2414yes—
764C4⋊C4×C73C2414yes—
765C4⋊C4×C73C2414yes—
766C4⋊C4×C73C2414yes—
767C4⋊C4×C73C2414yes—
768C4⋊C4×C73C2414yes—
769C4⋊C4×C73C2414yes—
770C4⋊C4×C73C2414yes—
771C4⋊C4×C73C2414yes—
772C4⋊C4×C73C2414yes—
773C4⋊C4×C73C2414yes—
774C4⋊C4×C73C2414yes—
775C4⋊C4×C73C2414yes—
776C4⋊C4×C73C2414yes—
777C4⋊C4×C73C2414yes—
778C22⋊C4×C73C2414yes—
779C22⋊C4×C73C2414yes—
780C22⋊C4×C73C2414yes—
781C22⋊C4×C73C2414yes—
782C22⋊C4×C73C2414yes—
783C22⋊C4×C73C2414yes—
784C22⋊C4×C73C2414yes—
785C22⋊C4×C73C2414yes—
786C22⋊C4×C73C2414yes—
787C22⋊C4×C73C2414yes—
788C42×C73C2414yes—
789C42×C73C2414yes—
790C23×C73—22no—
791C23×C73—22no—
792C23×C73—22no—
793C23×C73—22no—
794C23×C73—22no—
795C23×C73—22no—
796C23×C73—22no—
797C23×C73—22no—
798C23×C73C2×#4114yes—
799C23×C73C2512yes—
800C23×C73C2512yes—
801C23×C73C2512yes—
802C23×C73C2511yescharacteristic
803C22×D73—22no—
804C22×D73—22no—
805C22×D73—22no—
806C22×D73—22no—
807C22×D73—22no—
808C22×D73—28no—
809C22×D73—22no—
810C22×D73—22no—
811C22×D73—22no—
812C22×D73—22no—
813C22×D73—22no—
814C22×D73—28no—
815C22×D73—28no—
816C22×D73—28no—
817C22×D73—44no—
818C22×D73—44no—
819C22×D73—416no—
820C22×D73—416no—
821C22×D73C2×#4114yes—
822C22×D732−1+414yes—
823C22×D73C2512yes—
824C22×D73C2512yes—
825C22×D73C2512yes—
826C22×D73C2512yes—
827Q8×C73—44no—
828D4×C73—28no—
829D4×C73—28no—
830D4×C73—44no—
831C2×C4×C73—22no—
832C2×C4×C73—22no—
833C2×C4×C73—28no—
834C2×C4×C73—22no—
835C2×C4×C73—22no—
836C2×C4×C73—22no—
837C2×C4×C73—22no—
838C2×C4×C73—22no—
839C2×C4×C73—22no—
840C2×C4×C73—22no—
841C2×C4×C73—22no—
842C2×C4×C73—22no—
843C2×C4×C73—22no—
844C2×C4×C73—44no—
845C2×C4×C73—44no—
846C2×C4×C73—44no—
847C2×C4×C73—44no—
848C2×C4×C73C2512yes—
849C2×C4×C73C2512yes—
850C2×C4×C73C2512yes—
851C2×C4×C73C2512yes—
852C2×C4×C73C2512yes—
853C2×C4×C73C2512yes—
854C2×C4×C73C2512yes—
855C2×C4×C73C2512yes—
856C2×C4×C73C2512yes—
857C2×C4×C73C2512yes—
858C2×C4×C73C2512yes—
859C2×C4×C73C2512yes—
860C22⋊D73—28no—
861C22⋊D73—28no—
862C22⋊D73—28no—
863C22⋊D73—28no—
864C22⋊D73—28no—
865C22⋊D73—44no—
866C22⋊D73—44no—
867C22⋊D73C2×#41116yescomplemented
868C2×Dic73—22no—
869C2×Dic73—22no—
870C2×Dic73—22no—
871C2×Dic73—28no—
872C2×Dic73—22no—
873C2×Dic73—22no—
874C2×Dic73—22no—
875C2×Dic73—22no—
876C2×Dic73—22no—
877C2×Dic73—22no—
878C2×Dic73—22no—
879C2×Dic73—28no—
880C2×Dic73—28no—
881C2×Dic73—28no—
882C2×Dic73—44no—
883C2×Dic73—44no—
884C2×Dic73C2×#4114yes—
885C2×Dic73H(5,𝔽2)14yes—
886C2×Dic73C2512yes—
887C2×Dic73C2512yes—
888C2×Dic73C2512yes—
889C2×Dic73C2512yes—
890C2×Dic73C2512yes—
891C2×Dic73C2512yes—
892C2×Dic73C2512yes—
893C2×Dic73C2512yes—
894C2×Dic73C2512yes—
895C2×Dic73C2512yes—
896C2×Dic73C2512yes—
897C2×Dic73C2512yes—
898D292—28no—
899D292—28no—
900D292—28no—
901D292—44no—
902C4×D73—28no—
903C4×D73—28no—
904C4×D73—28no—
905C4×D73—28no—
906C4×D73—28no—
907C4×D73—28no—
908C4×D73—28no—
909C4×D73—28no—
910C4×D73—44no—
911C4×D73—44no—
912C4×D73—44no—
913C4×D73—44no—
914C4×D73—44no—
915C4×D73—44no—
916C4×D73—44no—
917C4×D73—44no—
918Dic146—28no—
919Dic146—28no—
920Dic146—28no—
921Dic146—28no—
922Dic146—28no—
923Dic146—44no—
924Dic146—44no—
925Dic146—44no—
926C22×C73—22no—
927C22×C73—22no—
928C22×C73—28no—
929C22×C73—22no—
930C22×C73—22no—
931C22×C73—22no—
932C22×C73—22no—
933C22×C73—22no—
934C22×C73—22no—
935C22×C73—44no—
936C22×C73—44no—
937C22×C73C22×#4114yes—
938C22×C73C22×#4112yes—
939C22×C73C2×H(5,𝔽2)12yes—
940C22×C73C2×2−1+412yes—
941C22×C73C2611yescharacteristic
942C2×D73—22no—
943C2×D73—22no—
944C2×D73—22no—
945C2×D73—22no—
946C2×D73—28no—
947C2×D73—28no—
948C2×D73—22no—
949C2×D73—22no—
950C2×D73—22no—
951C2×D73—22no—
952C2×D73—22no—
953C2×D73—22no—
954C2×D73—416no—
955C2×D73—416no—
956C2×D73—44no—
957C2×D73—44no—
958C2×D73C22×#4114yes—
959C2×D73C2×2−1+414yes—
960C4×C73—22no—
961C4×C73—22no—
962C4×C73—22no—
963C4×C73—22no—
964C4×C73—22no—
965C4×C73—22no—
966C4×C73—22no—
967C4×C73—22no—
968C4×C73—22no—
969C4×C73—22no—
970C4×C73—22no—
971C4×C73—22no—
972Dic73—22no—
973Dic73—22no—
974Dic73—22no—
975Dic73—22no—
976Dic73—22no—
977Dic73—22no—
978Dic73—22no—
979Dic73—22no—
980Dic73—22no—
981Dic73—22no—
982Dic73C22×#4114yes—
983Dic73C2×H(5,𝔽2)14yes—
984C2×#3520—731nomaximal, Sylow
985C2×C73—24no—
986C2×C73—42no—
987C2×C73—42no—
988C2×C73#352014yescomplemented
989C2×C73C23×#4111yescharacteristic
990C2×C73C22×H(5,𝔽2)11yescharacteristic
991C2×C73C22×2−1+411yescharacteristic
992D73—24no—
993D73—24no—
994D73—42no—
995D73—42no—
996#3520—7332no—
997C2×#556—731no—
998C2×#554—731no—
999C2×#554—731no—
1000C2×#552—731no—
1001C2×#552—731no—
1002C2×#551—731no—
1003C2×#551—731no—
1004C2×#551—731no—
1005C2×#551—731no—
1006C2×D4×Q8—731no—
1007C2×#548—731no—
1008C2×#548—731no—
1009C2×#547—731no—
1010C2×#547—731no—
1011C2×#546—731no—
1012C2×#546—731no—
1013C2×#542—731no—
1014C2×#542—731no—
1015C2×#539—731no—
1016C2×#539—731no—
1017C2×#539—731no—
1018C2×#539D7311yescharacteristic, complemented
1019C2×#533—731no—
1020C2×#529—731no—
1021C2×#525—731no—
1022C2×#525—731no—
1023C22×C22⋊Q8—731no—
1024C22×C22⋊Q8—731no—
1025C2×#520—731no—
1026C2×#520—731no—
1027C22×C4×D4—731no—
1028C73C2×#352011yescharacteristic, complemented, Sylow
1029C22×#41—731no—
1030C22×#41—731no—
1031C22×#41—731no—
1032C22×#41—731no—
1033C23×Q8—731no—
1034C23×Q8—731no—
1035C23×D4—731no—
1036C24×C4—731no—
1037C24×C4—731no—
1038#556—7316no—
1039#554—7316no—
1040#554—7316no—
1041#552—7316no—
1042#552—7316no—
1043#551—7316no—
1044#551—7316no—
1045#551—7316no—
1046#551—7316no—
1047D4×Q8—7316no—
1048#548—7316no—
1049#548—7316no—
1050#547—7316no—
1051#547—7316no—
1052#546—7316no—
1053#546—7316no—
1054#542—7316no—
1055#542—7316no—
1056#539—7316no—
1057#539—7316no—
1058#539—7316no—
1059#539C2×D73116yescomplemented
1060#533—7316no—
1061C2×C4⋊Q8—731no—
1062C2×C4⋊Q8—731no—
1063C2×C4⋊Q8—731no—
1064C2×C4⋊Q8—731no—
1065#529—7316no—
1066C2×#126—731no—
1067C2×#126—731no—
1068C2×#126—731no—
1069C2×#126—731no—
1070C2×#126—731no—
1071C2×#126—731no—
1072C2×#126—731no—
1073C2×#126—731no—
1074C2×#126C2×D7311yescharacteristic, complemented
1075C2×#126C2×D7311yescharacteristic, complemented
1076C2×#125—731no—
1077C2×#125—731no—
1078C2×#125—731no—
1079C2×#125—731no—
1080C2×#125—731no—
1081C2×#125C2×D7311yescharacteristic, complemented
1082C2×#125C2×D7311yescharacteristic, complemented
1083C2×#124—731no—
1084C2×#124—731no—
1085C2×#124—731no—
1086C2×#124—731no—
1087C2×#124—731no—
1088C2×#124—731no—
1089C2×#124—731no—
1090#525—7316no—
1091#525—7316no—
1092C2×#123—731no—
1093C2×#123—731no—
1094C2×#123—731no—
1095C2×#123—731no—
1096C2×#123—731no—
1097C2×#123—731no—
1098C2×#123—731no—
1099C2×#123—731no—
1100C2×#123—731no—
1101C2×#123—731no—
1102C2×#123—731no—
1103C2×#123—731no—
1104C2×#123—731no—
1105C2×#123—731no—
1106C2×#123C2×D7311yescharacteristic
1107C2×#123C2×D7311yescharacteristic, complemented
1108C2×#123C2×D7311yescharacteristic, complemented
1109C2×#123C2×D7311yescharacteristic, complemented
1110C2×C22⋊Q8—731no—
1111C2×C22⋊Q8—731no—
1112C2×C22⋊Q8—7316no—
1113C2×C22⋊Q8—731no—
1114C2×C22⋊Q8—731no—
1115C2×C22⋊Q8—731no—
1116C2×C22⋊Q8—731no—
1117C2×C22⋊Q8—731no—
1118C2×C22⋊Q8—731no—
1119C2×C22⋊Q8—731no—
1120C2×C22⋊Q8—731no—
1121C2×C22⋊Q8—731no—
1122C2×C22⋊Q8—731no—
1123C2×C22⋊Q8—731no—
1124C2×C22⋊Q8—731no—
1125C2×C22⋊Q8—731no—
1126C2×C22⋊Q8—731no—
1127C2×C22⋊Q8—731no—
1128C2×C22⋊Q8—731no—
1129C2×C22⋊Q8—731no—
1130C2×C22⋊Q8—731no—
1131C2×C22⋊Q8—7316no—
1132C2×C22⋊Q8—731no—
1133C2×C22⋊Q8—731no—
1134C2×C22⋊Q8—731no—
1135C2×C22⋊Q8—731no—
1136C2×C22⋊Q8—731no—
1137C2×C22⋊Q8—731no—
1138C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1139C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1140C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1141C2×#121—731no—
1142C2×#121—731no—
1143C2×#121—731no—
1144C2×#121—731no—
1145C2×#121—731no—
1146C2×#121—731no—
1147C2×#121—731no—
1148C2×#121—731no—
1149C2×#121C2×D7311yescharacteristic
1150C2×#120—731no—
1151C2×#120—731no—
1152C2×#120—731no—
1153C2×#120—731no—
1154#520—7316no—
1155#520—7316no—
1156C2×C4×Q8—731no—
1157C2×C4×Q8—731no—
1158C2×C4×Q8—731no—
1159C2×C4×Q8—731no—
1160C2×C4×Q8—731no—
1161C2×C4×Q8—731no—
1162C2×C4×Q8—731no—
1163C2×C4×D4—731no—
1164C2×C4×D4—731no—
1165C2×C4×D4—731no—
1166C2×C4×D4—731no—
1167C2×C4×D4—731no—
1168C2×C4×D4—731no—
1169C2×C4×D4—731no—
1170C2×C4×D4—731no—
1171C2×C4×D4—731no—
1172C2×C4×D4—7316no—
1173C2×C4×D4—731no—
1174C2×C4×D4—731no—
1175C2×C4×D4—731no—
1176C2×C4×D4—731no—
1177C2×C4×D4—731no—
1178C2×C4×D4—731no—
1179C2×C4×D4—731no—
1180C2×C4×D4—731no—
1181C2×C4×D4—731no—
1182C2×C4×D4—731no—
1183C2×C4×D4—731no—
1184C2×C4×D4—731no—
1185C2×C4×D4—731no—
1186C2×C4×D4—731no—
1187C2×C4×D4C2×D7311yescharacteristic
1188C2×C4×D4C2×D7311yescharacteristic, complemented
1189C2×#117—731no—
1190C2×#117—731no—
1191C2×#117—731no—
1192C2×#117—731no—
1193C2×#117—731no—
1194C2×#117—731no—
1195C2×#117—731no—
1196C2×#117—731no—
1197C2×#117—731no—
1198C2×#117—731no—
1199C22×C4⋊C4—731no—
1200C22×C4⋊C4—731no—
1201C22×C4⋊C4—731no—
1202C22×C4⋊C4—731no—
1203C22×C4⋊C4—731no—
1204C22×C4⋊C4—731no—
1205C22×C4⋊C4—731no—
1206C22×C4⋊C4—731no—
1207C22×C4⋊C4C2×D7311yescharacteristic, complemented
1208C22×C22⋊C4—731no—
1209C22×C22⋊C4—731no—
1210C22×C22⋊C4—731no—
1211C22×C22⋊C4—731no—
1212C22×C22⋊C4—731no—
1213C22×C22⋊C4—731no—
1214C22×C42—731no—
1215C25—731no—
1216C25—731no—
1217C2×#41—2924no—
1218C2×#41—2924no—
1219C2×#41—738no—
1220C2×#41—738no—
1221C2×#41—738no—
1222C2×#41—738no—
1223C2×#41—1468no—
1224C2×#41—1468no—
1225C22×Q8—2924no—
1226C22×Q8—2924no—
1227C22×Q8—738no—
1228C22×Q8—731no—
1229C22×Q8—731no—
1230C22×Q8—731no—
1231C22×Q8—738no—
1232C22×Q8—731no—
1233C22×Q8—731no—
1234C22×Q8—731no—
1235C22×Q8—731no—
1236C22×Q8—731no—
1237C22×Q8C22×D7311yescharacteristic
1238C22×D4—731no—
1239C22×D4—731no—
1240C22×D4—731no—
1241C22×D4—731no—
1242C22×D4—731no—
1243C22×D4—731no—
1244C22×D4—731no—
1245C22×D4—731no—
1246C22×D4—738no—
1247C22×D4—731no—
1248C22×D4—731no—
1249C22×D4—731no—
1250C22×D4—731no—
1251C22×D4—1468no—
1252C22×D4C22×D7311yescharacteristic
1253C22×D4C22×D7311yescharacteristic
1254C22×D4C22×D7311yescharacteristic
1255C23×C4—2924no—
1256C23×C4—2924no—
1257C23×C4—731no—
1258C23×C4—731no—
1259C23×C4—731no—
1260C23×C4—731no—
1261C23×C4—731no—
1262C23×C4—731no—
1263C23×C4—731no—
1264C23×C4—731no—
1265C23×C4—731no—
1266C23×C4—731no—
1267C23×C4—738no—
1268C23×C4—738no—
1269C23×C4—731no—
1270C23×C4—731no—
1271C23×C4—731no—
1272C23×C4—731no—
1273C23×C4—731no—
1274C23×C4—731no—
1275C23×C4—731no—
1276C23×C4—731no—
1277C23×C4—731no—
1278C23×C4—731no—
1279C23×C4—731no—
1280C23×C4—731no—
1281C23×C4C22×D7311yescharacteristic
1282C23×C4C22×D7311yescharacteristic
1283C23×C4C22×D7311yescharacteristic
1284C23×C4C22×D7311yescharacteristic
1285C23×C4C22×D7311yescharacteristic
1286C4⋊Q8—738no—
1287C4⋊Q8—738no—
1288C4⋊Q8—738no—
1289C4⋊Q8—738no—
1290#126—738no—
1291#126—738no—
1292#126—738no—
1293#126—738no—
1294#126—738no—
1295#126—738no—
1296#126—738no—
1297#126—738no—
1298#126C22×D7318yescomplemented
1299#126C22×D7318yescomplemented
1300#125—738no—
1301#125—738no—
1302#125—738no—
1303#125—738no—
1304#125—738no—
1305#125C22×D7318yescomplemented
1306#125C22×D7318yescomplemented
1307#124—738no—
1308#124—738no—
1309#124—738no—
1310#124—738no—
1311#124—738no—
1312#124—738no—
1313#124—738no—
1314#123—738no—
1315#123—738no—
1316#123—738no—
1317#123—738no—
1318#123—738no—
1319#123—738no—
1320#123—738no—
1321#123—738no—
1322#123—738no—
1323#123—738no—
1324#123—738no—
1325#123—738no—
1326#123—738no—
1327#123—738no—
1328#123C22×D7318yes—
1329#123C22×D7318yescomplemented
1330#123C22×D7318yescomplemented
1331#123C22×D7318yescomplemented
1332C22⋊Q8—738no—
1333C22⋊Q8—738no—
1334C22⋊Q8—738no—
1335C22⋊Q8—738no—
1336C22⋊Q8—738no—
1337C22⋊Q8—738no—
1338C22⋊Q8—738no—
1339C22⋊Q8—738no—
1340C22⋊Q8—738no—
1341C22⋊Q8—738no—
1342C22⋊Q8—738no—
1343C22⋊Q8—738no—
1344C22⋊Q8—738no—
1345C22⋊Q8—738no—
1346C22⋊Q8—738no—
1347C22⋊Q8—738no—
1348C22⋊Q8—738no—
1349C22⋊Q8—738no—
1350C22⋊Q8—738no—
1351C22⋊Q8—738no—
1352C22⋊Q8—738no—
1353C22⋊Q8—738no—
1354C22⋊Q8—738no—
1355C22⋊Q8—738no—
1356C22⋊Q8—738no—
1357C22⋊Q8—738no—
1358C22⋊Q8C22×D7318yescomplemented
1359C22⋊Q8C22×D7318yescomplemented
1360C22⋊Q8C22×D7318yescomplemented
1361#121—738no—
1362#121—738no—
1363#121—738no—
1364#121—738no—
1365#121—738no—
1366#121—738no—
1367#121—738no—
1368#121—738no—
1369#121C22×D7318yes—
1370#120—738no—
1371#120—738no—
1372#120—738no—
1373#120—738no—
1374C4×Q8—738no—
1375C4×Q8—738no—
1376C4×Q8—738no—
1377C4×Q8—738no—
1378C4×Q8—738no—
1379C4×Q8—738no—
1380C4×Q8—738no—
1381C4×D4—738no—
1382C4×D4—738no—
1383C4×D4—738no—
1384C4×D4—738no—
1385C4×D4—738no—
1386C4×D4—738no—
1387C4×D4—738no—
1388C4×D4—738no—
1389C4×D4—738no—
1390C4×D4—738no—
1391C4×D4—738no—
1392C4×D4—738no—
1393C4×D4—738no—
1394C4×D4—738no—
1395C4×D4—738no—
1396C4×D4—738no—
1397C4×D4—738no—
1398C4×D4—738no—
1399C4×D4—738no—
1400C4×D4—738no—
1401C4×D4—738no—
1402C4×D4—738no—
1403C4×D4—738no—
1404C4×D4C22×D7318yes—
1405C4×D4C22×D7318yescomplemented
1406#117—738no—
1407#117—738no—
1408#117—738no—
1409#117—738no—
1410#117—738no—
1411#117—738no—
1412#117—738no—
1413#117—738no—
1414#117—738no—
1415#117—738no—
1416C2×C4⋊C4—731no—
1417C2×C4⋊C4—731no—
1418C2×C4⋊C4—731no—
1419C2×C4⋊C4—731no—
1420C2×C4⋊C4—731no—
1421C2×C4⋊C4—731no—
1422C2×C4⋊C4—731no—
1423C2×C4⋊C4—731no—
1424C2×C4⋊C4—731no—
1425C2×C4⋊C4—731no—
1426C2×C4⋊C4—731no—
1427C2×C4⋊C4—731no—
1428C2×C4⋊C4—731no—
1429C2×C4⋊C4—731no—
1430C2×C4⋊C4—731no—
1431C2×C4⋊C4—731no—
1432C2×C4⋊C4—731no—
1433C2×C4⋊C4—738no—
1434C2×C4⋊C4—738no—
1435C2×C4⋊C4—731no—
1436C2×C4⋊C4—731no—
1437C2×C4⋊C4—731no—
1438C2×C4⋊C4—738no—
1439C2×C4⋊C4—731no—
1440C2×C4⋊C4—731no—
1441C2×C4⋊C4—731no—
1442C2×C4⋊C4—731no—
1443C2×C4⋊C4—731no—
1444C2×C4⋊C4—731no—
1445C2×C4⋊C4—731no—
1446C2×C4⋊C4—731no—
1447C2×C4⋊C4—731no—
1448C2×C4⋊C4—731no—
1449C2×C4⋊C4—731no—
1450C2×C4⋊C4—731no—
1451C2×C4⋊C4—738no—
1452C2×C4⋊C4—738no—
1453C2×C4⋊C4—738no—
1454C2×C4⋊C4—738no—
1455C2×C4⋊C4—738no—
1456C2×C4⋊C4C22×D7311yescharacteristic
1457C2×C4⋊C4C22×D7311yescharacteristic
1458C2×C4⋊C4C22×D7311yescharacteristic
1459C2×C4⋊C4C22×D7311yescharacteristic
1460C2×C4⋊C4C22×D7311yescharacteristic
1461C2×C4⋊C4C22×D7311yescharacteristic
1462C2×C4⋊C4C22×D7311yescharacteristic
1463C2×C4⋊C4C22×D7311yescharacteristic
1464C2×C4⋊C4C22×D7311yescharacteristic
1465C2×C4⋊C4C22×D7311yescharacteristic
1466C2×C4⋊C4C22×D7311yescharacteristic
1467C2×C4⋊C4C22×D7311yescharacteristic
1468C2×C4⋊C4C22×D7311yescharacteristic
1469C2×C4⋊C4C22×D7311yescharacteristic
1470C2×C4⋊C4C22×D7318yescomplemented
1471C2×C22⋊C4—731no—
1472C2×C22⋊C4—731no—
1473C2×C22⋊C4—731no—
1474C2×C22⋊C4—731no—
1475C2×C22⋊C4—731no—
1476C2×C22⋊C4—731no—
1477C2×C22⋊C4—731no—
1478C2×C22⋊C4—731no—
1479C2×C22⋊C4—731no—
1480C2×C22⋊C4—731no—
1481C2×C22⋊C4—731no—
1482C2×C22⋊C4—731no—
1483C2×C22⋊C4—731no—
1484C2×C22⋊C4—731no—
1485C2×C22⋊C4—731no—
1486C2×C22⋊C4—731no—
1487C2×C22⋊C4—731no—
1488C2×C22⋊C4—731no—
1489C2×C22⋊C4—731no—
1490C2×C22⋊C4—731no—
1491C2×C22⋊C4—731no—
1492C2×C22⋊C4—731no—
1493C2×C22⋊C4—738no—
1494C2×C22⋊C4—738no—
1495C2×C22⋊C4—731no—
1496C2×C22⋊C4—731no—
1497C2×C22⋊C4—731no—
1498C2×C22⋊C4—731no—
1499C2×C22⋊C4—731no—
1500C2×C22⋊C4—731no—
1501C2×C22⋊C4—731no—
1502C2×C22⋊C4—731no—
1503C2×C22⋊C4—731no—
1504C2×C22⋊C4—731no—
1505C2×C22⋊C4—738no—
1506C2×C22⋊C4—738no—
1507C2×C22⋊C4—738no—
1508C2×C22⋊C4—738no—
1509C2×C22⋊C4C22×D7311yescharacteristic
1510C2×C22⋊C4C22×D7311yescharacteristic
1511C2×C22⋊C4C22×D7311yescharacteristic
1512C2×C22⋊C4C22×D7311yescharacteristic
1513C2×C22⋊C4C22×D7311yescharacteristic
1514C2×C22⋊C4C22×D7311yescharacteristic
1515C2×C22⋊C4C22×D7311yescharacteristic
1516C2×C22⋊C4C22×D7311yescharacteristic
1517C2×C22⋊C4C22×D7311yescharacteristic
1518C2×C22⋊C4C22×D7311yescharacteristic
1519C2×C42—731no—
1520C2×C42—731no—
1521C2×C42—731no—
1522C2×C42—731no—
1523C2×C42—731no—
1524C2×C42—731no—
1525C2×C42—731no—
1526C2×C42—731no—
1527C2×C42—731no—
1528C2×C42—731no—
1529C2×C42—731no—
1530C2×C42—731no—
1531C2×C42—738no—
1532C2×C42C22×D7311yescharacteristic
1533C2×C42C22×D7311yescharacteristic
1534C24—2922no—
1535C24—2922no—
1536C24—734no—
1537C24—734no—
1538C24—731no—
1539C24—731no—
1540C24—731no—
1541C24—731no—
1542C24—1464no—
1543C24—1464no—
1544C24—1464no—
1545C24—1464no—
1546C24C23×D7311yescharacteristic
1547C24C23×D7311yescharacteristic
1548C24C23×D7311yescharacteristic
1549#41—29216no—
1550#41—29216no—
1551#41—14632no—
1552#41—14632no—
1553C2×Q8—42no—
1554C2×Q8—2922no—
1555C2×Q8—2922no—
1556C2×Q8—2922no—
1557C2×Q8—29216no—
1558C2×Q8—29216no—
1559C2×Q8—734no—
1560C2×Q8—734no—
1561C2×Q8—734no—
1562C2×Q8—734no—
1563C2×Q8—734no—
1564C2×Q8—734no—
1565C2×Q8—734no—
1566C2×Q8—734no—
1567C2×Q8—1464no—
1568C2×Q8—1464no—
1569C2×Q8—1464no—
1570C2×Q8—1464no—
1571C2×Q8—1464no—
1572C2×Q8C23×D7314yes—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—42no—
1576C2×D4—2922no—
1577C2×D4—2922no—
1578C2×D4—2922no—
1579C2×D4—734no—
1580C2×D4—734no—
1581C2×D4—738no—
1582C2×D4—734no—
1583C2×D4—734no—
1584C2×D4—734no—
1585C2×D4—734no—
1586C2×D4—734no—
1587C2×D4—734no—
1588C2×D4—734no—
1589C2×D4—734no—
1590C2×D4—734no—
1591C2×D4—734no—
1592C2×D4—1464no—
1593C2×D4—1464no—
1594C2×D4—1464no—
1595C2×D4—1464no—
1596C2×D4—1464no—
1597C2×D4—14632no—
1598C2×D4—1464no—
1599C2×D4—1464no—
1600C2×D4—1464no—
1601C2×D4C23×D7314yes—
1602C2×D4C23×D7314yes—
1603C2×D4C23×D7314yes—
1604C22×C4—24no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—2922no—
1610C22×C4—2922no—
1611C22×C4—2922no—
1612C22×C4—2922no—
1613C22×C4—2922no—
1614C22×C4—2922no—
1615C22×C4—2922no—
1616C22×C4—2922no—
1617C22×C4—29216no—
1618C22×C4—29216no—
1619C22×C4—2922no—
1620C22×C4—2922no—
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—731no—
1632C22×C4—731no—
1633C22×C4—734no—
1634C22×C4—734no—
1635C22×C4—734no—
1636C22×C4—734no—
1637C22×C4—731no—
1638C22×C4—731no—
1639C22×C4—731no—
1640C22×C4—731no—
1641C22×C4—731no—
1642C22×C4—731no—
1643C22×C4—731no—
1644C22×C4—731no—
1645C22×C4—731no—
1646C22×C4—731no—
1647C22×C4—734no—
1648C22×C4—734no—
1649C22×C4—734no—
1650C22×C4—734no—
1651C22×C4—734no—
1652C22×C4—734no—
1653C22×C4—734no—
1654C22×C4—734no—
1655C22×C4—1464no—
1656C22×C4—1464no—
1657C22×C4—1464no—
1658C22×C4—1464no—
1659C22×C4—1464no—
1660C22×C4—1464no—
1661C22×C4—1464no—
1662C22×C4—1464no—
1663C22×C4—1464no—
1664C22×C4—1464no—
1665C22×C4—1464no—
1666C22×C4—1464no—
1667C22×C4C23×D7314yes—
1668C22×C4C23×D7311yescharacteristic
1669C22×C4C23×D7311yescharacteristic
1670C22×C4C23×D7311yescharacteristic
1671C22×C4C23×D7311yescharacteristic
1672C22×C4C23×D7311yescharacteristic
1673C22×C4C23×D7311yescharacteristic
1674C22×C4C23×D7311yescharacteristic
1675C22×C4C23×D7311yescharacteristic
1676C22×C4C23×D7311yescharacteristic
1677C22×C4C23×D7311yescharacteristic
1678C22×C4C23×D7311yescharacteristic
1679C22×C4C23×D7311yescharacteristic
1680C22×C4C23×D7314yes—
1681C22×C4C23×D7314yes—
1682C22×C4C23×D7314yes—
1683C22×C4C23×D7314yes—
1684C4⋊C4—734no—
1685C4⋊C4—734no—
1686C4⋊C4—734no—
1687C4⋊C4—734no—
1688C4⋊C4—734no—
1689C4⋊C4—734no—
1690C4⋊C4—734no—
1691C4⋊C4—734no—
1692C4⋊C4—734no—
1693C4⋊C4—734no—
1694C4⋊C4—734no—
1695C4⋊C4—734no—
1696C4⋊C4—734no—
1697C4⋊C4—734no—
1698C4⋊C4—734no—
1699C4⋊C4—734no—
1700C4⋊C4—734no—
1701C4⋊C4—734no—
1702C4⋊C4—734no—
1703C4⋊C4—734no—
1704C4⋊C4—734no—
1705C4⋊C4—734no—
1706C4⋊C4—734no—
1707C4⋊C4—734no—
1708C4⋊C4—734no—
1709C4⋊C4—734no—
1710C4⋊C4—734no—
1711C4⋊C4—734no—
1712C4⋊C4—734no—
1713C4⋊C4—734no—
1714C4⋊C4—734no—
1715C4⋊C4—734no—
1716C4⋊C4C23×D7314yes—
1717C4⋊C4C23×D7314yes—
1718C4⋊C4C23×D7314yes—
1719C4⋊C4C23×D7314yes—
1720C4⋊C4C23×D7314yes—
1721C4⋊C4C23×D7314yes—
1722C4⋊C4C23×D7314yes—
1723C4⋊C4C23×D7314yes—
1724C4⋊C4C23×D7314yes—
1725C4⋊C4C23×D7314yes—
1726C4⋊C4C23×D7314yes—
1727C4⋊C4C23×D7314yes—
1728C4⋊C4C23×D7314yes—
1729C4⋊C4C23×D7314yes—
1730C22⋊C4—734no—
1731C22⋊C4—734no—
1732C22⋊C4—734no—
1733C22⋊C4—734no—
1734C22⋊C4—734no—
1735C22⋊C4—734no—
1736C22⋊C4—734no—
1737C22⋊C4—734no—
1738C22⋊C4—734no—
1739C22⋊C4—734no—
1740C22⋊C4—734no—
1741C22⋊C4—734no—
1742C22⋊C4—734no—
1743C22⋊C4—734no—
1744C22⋊C4—734no—
1745C22⋊C4—734no—
1746C22⋊C4—734no—
1747C22⋊C4—734no—
1748C22⋊C4—734no—
1749C22⋊C4—734no—
1750C22⋊C4—734no—
1751C22⋊C4—734no—
1752C22⋊C4—734no—
1753C22⋊C4—734no—
1754C22⋊C4—734no—
1755C22⋊C4—734no—
1756C22⋊C4—734no—
1757C22⋊C4—734no—
1758C22⋊C4—734no—
1759C22⋊C4—734no—
1760C22⋊C4—734no—
1761C22⋊C4—734no—
1762C22⋊C4C23×D7314yes—
1763C22⋊C4C23×D7314yes—
1764C22⋊C4C23×D7314yes—
1765C22⋊C4C23×D7314yes—
1766C22⋊C4C23×D7314yes—
1767C22⋊C4C23×D7314yes—
1768C22⋊C4C23×D7314yes—
1769C22⋊C4C23×D7314yes—
1770C22⋊C4C23×D7314yes—
1771C22⋊C4C23×D7314yes—
1772C42—734no—
1773C42—734no—
1774C42—734no—
1775C42—734no—
1776C42—734no—
1777C42—734no—
1778C42—734no—
1779C42—734no—
1780C42—734no—
1781C42—734no—
1782C42—734no—
1783C42—734no—
1784C42C23×D7314yes—
1785C42C23×D7314yes—
1786C23—22no—
1787C23—22no—
1788C23—22no—
1789C23—22no—
1790C23—22no—
1791C23—22no—
1792C23—22no—
1793C23—22no—
1794C23—29216no—
1795C23—2924no—
1796C23—2924no—
1797C23—29216no—
1798C23—734no—
1799C23—734no—
1800C23—732no—
1801C23—732no—
1802C23—732no—
1803C23—732no—
1804C23—1468no—
1805C23—1468no—
1806C23—1468no—
1807C23—1462no—
1808C23—1468no—
1809C23—1462no—
1810C23—1462no—
1811C23—1462no—
1812C23—1462no—
1813C23—1462no—
1814C23—1462no—
1815C23—1462no—
1816C23—1462no—
1817C23—1462no—
1818C23#41×D7314yes—
1819C23C24×D7312yes—
1820C23C24×D7312yes—
1821C23C24×D7312yes—
1822C23C24×D7311yescharacteristic
1823Q8—44no—
1824Q8—2924no—
1825Q8—2924no—
1826Q8—2924no—
1827Q8—1468no—
1828Q8—1468no—
1829Q8—1468no—
1830Q8—1468no—
1831Q8—1468no—
1832D4—28no—
1833D4—28no—
1834D4—44no—
1835D4—2924no—
1836D4—2924no—
1837D4—2924no—
1838D4—7316no—
1839D4—1468no—
1840D4—1468no—
1841D4—1468no—
1842D4—1468no—
1843D4—1468no—
1844D4—1468no—
1845D4—1468no—
1846D4—1468no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—28no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—2924no—
1865C2×C4—2924no—
1866C2×C4—2924no—
1867C2×C4—2924no—
1868C2×C4—2924no—
1869C2×C4—2924no—
1870C2×C4—2924no—
1871C2×C4—2924no—
1872C2×C4—2924no—
1873C2×C4—2924no—
1874C2×C4—734no—
1875C2×C4—734no—
1876C2×C4—732no—
1877C2×C4—732no—
1878C2×C4—732no—
1879C2×C4—732no—
1880C2×C4—732no—
1881C2×C4—732no—
1882C2×C4—732no—
1883C2×C4—732no—
1884C2×C4—732no—
1885C2×C4—732no—
1886C2×C4—732no—
1887C2×C4—732no—
1888C2×C4—1468no—
1889C2×C4—1468no—
1890C2×C4—1468no—
1891C2×C4—1468no—
1892C2×C4—1468no—
1893C2×C4—1468no—
1894C2×C4—1468no—
1895C2×C4—1468no—
1896C2×C4—1468no—
1897C2×C4—1468no—
1898C2×C4—1468no—
1899C2×C4—1462no—
1900C2×C4—1462no—
1901C2×C4—1462no—
1902C2×C4—1468no—
1903C2×C4—1462no—
1904C2×C4—1462no—
1905C2×C4—1462no—
1906C2×C4—1462no—
1907C2×C4—1462no—
1908C2×C4—1462no—
1909C2×C4—1462no—
1910C2×C4C24×D7312yes—
1911C2×C4C24×D7312yes—
1912C2×C4C24×D7312yes—
1913C2×C4C24×D7312yes—
1914C2×C4C24×D7312yes—
1915C2×C4C24×D7312yes—
1916C2×C4C24×D7312yes—
1917C2×C4C24×D7312yes—
1918C2×C4C24×D7312yes—
1919C2×C4C24×D7312yes—
1920C2×C4C24×D7312yes—
1921C2×C4C24×D7312yes—
1922C22—22no—
1923C22—22no—
1924C22—28no—
1925C22—22no—
1926C22—22no—
1927C22—22no—
1928C22—22no—
1929C22—22no—
1930C22—22no—
1931C22—44no—
1932C22—44no—
1933C22—29216no—
1934C22—29216no—
1935C22—2924no—
1936C22—2924no—
1937C22—734no—
1938C22—734no—
1939C22—1462no—
1940C22—1462no—
1941C22—1462no—
1942C22—1462no—
1943C22—1462no—
1944C22—1462no—
1945C22—1462no—
1946C22—1462no—
1947C22—1462no—
1948C22—1462no—
1949C22—1468no—
1950C22—1468no—
1951C22C2×#41×D7314yes—
1952C22C2×#41×D7312yes—
1953C22H(5,𝔽2)×D7312yes—
1954C222−1+4×D7312yes—
1955C22C25×D7311yescharacteristic
1956C4—22no—
1957C4—22no—
1958C4—22no—
1959C4—22no—
1960C4—22no—
1961C4—22no—
1962C4—22no—
1963C4—22no—
1964C4—22no—
1965C4—22no—
1966C4—22no—
1967C4—22no—
1968C4—734no—
1969C4—734no—
1970C4—1462no—
1971C4—1462no—
1972C4—1462no—
1973C4—1462no—
1974C4—1462no—
1975C4—1462no—
1976C4—1462no—
1977C4—1462no—
1978C4—1462no—
1979C4—1462no—
1980C2—24no—
1981C2—42no—
1982C2—42no—
1983C2—2922no—
1984C2—2922no—
1985C2—1464no—
1986C2—1464no—
1987C2#2262397214yesdirect product factor
1988C2C22×#41×D7311yescharacteristic
1989C2C2×H(5,𝔽2)×D7311yescharacteristic
1990C2C2×2−1+4×D7311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#539×C73C2
socleC23×C73C25
hypercenterC2×#539D73
hypocenterC73C2×#3520
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #22623972C2direct (N × H)
2. C2×#17989304C2semidirect
3. C2×#17989293C2semidirect
4. C2×#17989291C2semidirect
5. C2×#17989274C2semidirect
6. C2×#17989269C2semidirect
7. C2×#17989265C2semidirect
8. C2×#17989264C2semidirect
9. C2×#17989262C2semidirect
10. C2×#17989260C2semidirect
11. C2×#17989250C2semidirect
12. C2×#17989247C2semidirect
13. C2×#17989243C2semidirect
14. C2×#17989235C2semidirect
15. C2×#17989235C2semidirect
16. C2×#17989229C2semidirect
17. C2×#17989226C2semidirect
18. C2×#17989207C2semidirect
19. C2×#17989205C2semidirect
20. C2×#17989185C2semidirect
21. C2×#17989179C2semidirect
22. C2×#17989178C2semidirect
23. C2×#17989143C2semidirect
24. C2×#17989120C2semidirect
25. C2×#17989096C2semidirect
26. C2×#17989095C2semidirect
27. C22×#14556569C2semidirect
28. C2×C22⋊Q8×D73C2semidirect
29. C2×#17989068C2semidirect
30. C2×#17989066C2semidirect
31. C2×C4×D4×D73C2semidirect
32. C2×#539×C73C2semidirect
34. C22×#11924028C22semidirect
36. C22×#11924027C22semidirect
37. C23×Dic146C22semidirect
38. C22×Q8×D73C22semidirect
42. #17989304C22semidirect
43. #17989293C22semidirect
44. #17989291C22semidirect
45. #17989274C22semidirect
46. #17989269C22semidirect
47. #17989265C22semidirect
48. #17989264C22semidirect
49. #17989262C22semidirect
50. #17989260C22semidirect
51. #17989250C22semidirect
52. #17989247C22semidirect
53. #17989243C22semidirect
54. #17989235C22semidirect
55. #17989235C22semidirect
56. #17989229C22semidirect
57. #17989226C22semidirect
58. #17989207C22semidirect
59. #17989205C22semidirect
60. #17989185C22semidirect
61. #17989179C22semidirect
62. #17989178C22semidirect
63. #17989143C22semidirect
64. C2×#14556590C22semidirect
65. C2×#14556590C22semidirect
66. C2×#14556590C22semidirect
67. C2×#14556589C22semidirect
68. #17989120C22semidirect
69. C2×#14556586C22semidirect
70. C2×#14556586C22semidirect
71. C2×#14556586C22semidirect
72. C2×#14556586C22semidirect
73. C2×#14556585C22semidirect
74. C2×#14556584C22semidirect
75. C2×#14556584C22semidirect
76. C2×#14556584C22semidirect
77. C2×#14556583C22semidirect
78. C2×#14556582C22semidirect
79. C2×#14556581C22semidirect
80. C2×#14556581C22semidirect
81. C2×#14556581C22semidirect
82. C2×#14556580C22semidirect
83. C2×#14556578C22semidirect
86. C2×#14556577C22semidirect
87. C2×#14556577C22semidirect
88. C2×#14556577C22semidirect
89. #17989096C22semidirect
90. #17989095C22semidirect
94. C2×#14556576C22semidirect
95. C2×#14556576C22semidirect
96. C2×#14556576C22semidirect
97. C2×#14556575C22semidirect
98. C2×#14556575C22semidirect
99. C2×#14556574C22semidirect
101. C2×#14556573C22semidirect
102. C2×#14556573C22semidirect
103. C2×#14556573C22semidirect
106. C2×#14556571C22semidirect
107. C2×#14556571C22semidirect
108. C2×#14556570C22semidirect
116. C2×#14556569C22semidirect
117. C2×#14556569C22semidirect
118. C2×#14556569C22semidirect
119. C2×#14556569C22semidirect
120. C2×#14556569C22semidirect
121. C2×#14556569C22semidirect
122. C2×#14556569C22semidirect
123. C2×#14556569C22semidirect
124. C2×#14556569C22semidirect
125. C2×#14556568C22semidirect
126. C2×#14556568C22semidirect
127. C2×#14556568C22semidirect
128. C2×#14556568C22semidirect
129. C2×#14556568C22semidirect
130. C2×#14556568C22semidirect
132. C22⋊Q8×D73C22semidirect
137. C2×#14556564C22semidirect
140. C2×#14556563C22semidirect
145. #17989068C22semidirect
146. #17989066C22semidirect
147. C2×C4×Dic146C22semidirect
148. C2×#14556556C22semidirect
149. C2×#14556556C22semidirect
150. C2×#14556556C22semidirect
151. C2×#14556556C22semidirect
152. C2×#14556556C22semidirect
153. C2×#14556556C22semidirect
157. C2×D4×Dic73C22semidirect
161. C2×#14556553C22semidirect
162. C2×#14556553C22semidirect
167. C2×C4×C22⋊D73C22semidirect
168. C2×C4×C22⋊D73C22semidirect
169. C2×C4×C22⋊D73C22semidirect
175. C2×#14556551C22semidirect
176. C2×#14556551C22semidirect
177. C4×D4×D73C22semidirect
178. C2×#14556550C22semidirect
181. C2×#14556549C22semidirect
182. C2×#14556549C22semidirect
183. C2×#14556548C22semidirect
184. C2×#14556548C22semidirect
185. C2×#14556547C22semidirect
186. C2×#14556547C22semidirect
187. C2×#14556547C22semidirect
188. C22×#11924007C22semidirect
189. C22×#11924007C22semidirect
190. C22×#11924007C22semidirect
192. C2×C4⋊C4×D73C22semidirect
193. C2×C4⋊C4×D73C22semidirect
194. C2×C4⋊C4×D73C22semidirect
195. C2×C4⋊C4×D73C22semidirect
203. #539×C73C22semidirect
204. C2×#126×C73C22semidirect
205. C2×#126×C73C22semidirect
206. C2×#125×C73C22semidirect
207. C2×#125×C73C22semidirect
209. C2×#123×C73C22semidirect
210. C2×#123×C73C22semidirect
211. C2×#123×C73C22semidirect
212. C2×C22⋊Q8×C73C22semidirect
213. C2×C22⋊Q8×C73C22semidirect
214. C2×C22⋊Q8×C73C22semidirect
217. C2×C4×D4×C73C22semidirect
218. C22×C4⋊C4×C73C22semidirect
224. C2×#11924028C23semidirect
228. C2×#11924027C23semidirect
238. C22×Dic146C23semidirect
240. C2×Q8×D73C23semidirect
281. #14556590C23semidirect
282. #14556590C23semidirect
283. #14556590C23semidirect
284. #14556589C23semidirect
285. #14556586C23semidirect
286. #14556586C23semidirect
287. #14556586C23semidirect
288. #14556586C23semidirect
289. #14556585C23semidirect
290. #14556584C23semidirect
291. #14556584C23semidirect
292. #14556584C23semidirect
293. #14556583C23semidirect
294. #14556582C23semidirect
295. #14556581C23semidirect
296. #14556581C23semidirect
297. #14556581C23semidirect
298. #14556580C23semidirect
299. #14556578C23semidirect
302. #14556577C23semidirect
303. #14556577C23semidirect
304. #14556577C23semidirect
308. #14556576C23semidirect
309. #14556576C23semidirect
310. #14556576C23semidirect
311. #14556575C23semidirect
312. #14556575C23semidirect
313. #14556574C23semidirect
315. #14556573C23semidirect
316. #14556573C23semidirect
317. #14556573C23semidirect
320. #14556571C23semidirect
321. #14556571C23semidirect
322. #14556570C23semidirect
330. #14556569C23semidirect
331. #14556569C23semidirect
332. #14556569C23semidirect
333. #14556569C23semidirect
334. #14556569C23semidirect
335. #14556569C23semidirect
336. #14556569C23semidirect
337. #14556569C23semidirect
338. #14556568C23semidirect
339. #14556568C23semidirect
340. #14556568C23semidirect
341. #14556568C23semidirect
342. #14556568C23semidirect
343. #14556568C23semidirect
349. #14556564C23semidirect
352. #14556563C23semidirect
357. C4×Dic146C23semidirect
358. #14556556C23semidirect
359. #14556556C23semidirect
360. #14556556C23semidirect
361. #14556556C23semidirect
362. #14556556C23semidirect
363. #14556556C23semidirect
367. D4×Dic73C23semidirect
371. #14556553C23semidirect
372. #14556553C23semidirect
377. C4×C22⋊D73C23semidirect
378. C4×C22⋊D73C23semidirect
379. C4×C22⋊D73C23semidirect
385. #14556551C23semidirect
386. #14556551C23semidirect
387. #14556550C23semidirect
390. #14556549C23semidirect
391. #14556549C23semidirect
392. #14556548C23semidirect
393. #14556548C23semidirect
394. #14556547C23semidirect
395. #14556547C23semidirect
396. #14556547C23semidirect
429. C2×#11924007C23semidirect
430. C2×#11924007C23semidirect
431. C2×#11924007C23semidirect
433. C4⋊C4×D73C23semidirect
434. C4⋊C4×D73C23semidirect
435. C4⋊C4×D73C23semidirect
436. C4⋊C4×D73C23semidirect
497. #126×C73C23semidirect
498. #126×C73C23semidirect
499. #125×C73C23semidirect
500. #125×C73C23semidirect
502. #123×C73C23semidirect
503. #123×C73C23semidirect
504. #123×C73C23semidirect
505. C22⋊Q8×C73C23semidirect
506. C22⋊Q8×C73C23semidirect
507. C22⋊Q8×C73C23semidirect
510. C4×D4×C73C23semidirect
525. C2×C4⋊C4×C73C23semidirect
587. C2×C22⋊D73#41semidirect
867. C22⋊D73C2×#41semidirect
988. C2×C73#3520semidirect
1018. C2×#539D73semidirect
1028. C73C2×#3520semidirect
1059. #539C2×D73semidirect
1074. C2×#126C2×D73semidirect
1075. C2×#126C2×D73semidirect
1081. C2×#125C2×D73semidirect
1082. C2×#125C2×D73semidirect
1107. C2×#123C2×D73semidirect
1108. C2×#123C2×D73semidirect
1109. C2×#123C2×D73semidirect
1138. C2×C22⋊Q8C2×D73semidirect
1139. C2×C22⋊Q8C2×D73semidirect
1140. C2×C22⋊Q8C2×D73semidirect
1188. C2×C4×D4C2×D73semidirect
1207. C22×C4⋊C4C2×D73semidirect
1298. #126C22×D73semidirect
1299. #126C22×D73semidirect
1305. #125C22×D73semidirect
1306. #125C22×D73semidirect
1329. #123C22×D73semidirect
1330. #123C22×D73semidirect
1331. #123C22×D73semidirect
1358. C22⋊Q8C22×D73semidirect
1359. C22⋊Q8C22×D73semidirect
1360. C22⋊Q8C22×D73semidirect
1405. C4×D4C22×D73semidirect
1470. C2×C4⋊C4C22×D73semidirect
1987. C2#22623972direct (N × H)

Maximal subgroups

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

subgroupindex
#226239722
C2×#179893042
C2×#179892932
C2×#179892912
C2×#179892742
C2×#179892692
C2×#179892652
C2×#179892642
C2×#179892622
C2×#179892602
C2×#179892502
C2×#179892472
C2×#179892432
C2×#179892352
C2×#179892292
C2×#179892262
C2×#179892072
C2×#179892052
C2×#179891852
C2×#179891792
C2×#179891782
C2×#179891432
C2×#179891202
C2×#179890962
C2×#179890952
C22×#145565692
C2×C22⋊Q8×D732
C2×#179890682
C2×#179890662
C2×C4×D4×D732
C2×#539×C732
C2×#352073