Finite Group Databasebeta

← C2×#22624479 #33993402

Subgroups — C2×#22624479 #33993402

Order 18688.

7398 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624479C2132yesmaximal, direct product factor
2C2×#17989338C211yesmaximal, characteristic, complemented
3C2×#17989336C211yesmaximal, characteristic, complemented
4C2×#17989327C211yesmaximal, characteristic, complemented
5C2×#17989325C211yesmaximal, characteristic, complemented
6C2×#17989286C211yesmaximal, characteristic, complemented
7C2×#17989285C211yesmaximal, characteristic, complemented
8C2×#17989282C211yesmaximal, characteristic, complemented
9C2×#17989280C211yesmaximal, characteristic, complemented
10C2×#17989266C211yesmaximal, characteristic, complemented
11C2×#17989264C211yesmaximal, characteristic, complemented
12C2×#17989238C211yesmaximal, characteristic, complemented
13C2×#17989229C211yesmaximal, characteristic, complemented
14C2×#17989229C211yesmaximal, characteristic, complemented
15C2×#17989225C211yesmaximal, characteristic, complemented
16C2×#17989225C211yesmaximal, characteristic, complemented
17C2×#17989211C211yesmaximal, characteristic, complemented
18C2×#17989205C211yesmaximal, characteristic, complemented
19C2×#17989184C211yesmaximal, characteristic, complemented
20C2×#17989183C211yesmaximal, characteristic, complemented
21C2×#17989181C211yesmaximal, characteristic, complemented
22C2×#17989177C211yesmaximal, characteristic, complemented
23C2×#17989173C211yesmaximal, characteristic, complemented
24C2×#17989170C211yesmaximal, characteristic, complemented
25C2×#17989170C211yesmaximal, characteristic, complemented
26C2×#17989169C211yesmaximal, characteristic, complemented
27C2×#17989165C211yesmaximal, characteristic, complemented
28C2×#17989145C211yesmaximal, characteristic, complemented
29C2×#17989133C211yesmaximal, characteristic, complemented
30C2×#17989114C211yesmaximal, characteristic, complemented
31C22×#14556586C211yesmaximal, characteristic, complemented
32C2×#547×C73C211yesmaximal, characteristic, complemented
33C22×#11924028C2211yescharacteristic, complemented
34C22×#11924028C2211yescharacteristic, complemented
35C22×D4×D73C2211yescharacteristic
36C22×D4×D73C2211yescharacteristic
37#17989338C22116yescomplemented
38#17989336C22116yescomplemented
39#17989327C22116yescomplemented
40#17989325C22116yescomplemented
41#17989286C22116yescomplemented
42#17989285C22116yescomplemented
43#17989282C22116yescomplemented
44#17989280C22116yescomplemented
45#17989266C22116yescomplemented
46#17989264C22116yescomplemented
47#17989238C22116yescomplemented
48#17989229C22116yescomplemented
49#17989229C22116yescomplemented
50#17989225C22116yescomplemented
51#17989225C22116yescomplemented
52#17989211C22116yescomplemented
53#17989205C22116yescomplemented
54#17989184C22116yescomplemented
55#17989183C22116yescomplemented
56#17989181C22116yescomplemented
57#17989177C22116yescomplemented
58#17989173C22116yescomplemented
59#17989170C22116yescomplemented
60#17989170C22116yescomplemented
61#17989169C22116yescomplemented
62#17989165C22116yescomplemented
63#17989145C22116yescomplemented
64#17989133C22116yescomplemented
65C2×#14556590C2211yescharacteristic, complemented
66C2×#14556589C2211yescharacteristic, complemented
67C2×#14556587C2211yescharacteristic, complemented
68#17989114C22116yescomplemented
69C2×#14556586C2211yescharacteristic, complemented
70C2×#14556586C2211yescharacteristic, complemented
71C2×#14556586C2211yescharacteristic, complemented
72C2×#14556586C2211yescharacteristic, complemented
73C2×#14556586C2211yescharacteristic, complemented
74C2×#14556586C2211yescharacteristic, complemented
75C2×#14556586C2211yescharacteristic, complemented
76C2×#14556586C2211yescharacteristic, complemented
77C2×#14556586C2211yescharacteristic, complemented
78C2×#14556586C2211yescharacteristic, complemented
79C2×#14556586C2211yescharacteristic, complemented
80C2×#14556586C2211yescharacteristic, complemented
81C2×#14556586C22116yescomplemented
82C2×#14556585C2211yescharacteristic, complemented
83C2×#14556585C2211yescharacteristic, complemented
84C2×#14556584C2211yescharacteristic, complemented
85C2×#14556584C2211yescharacteristic, complemented
86C2×#14556584C2211yescharacteristic, complemented
87C2×#14556584C2211yescharacteristic, complemented
88C2×#14556582C2211yescharacteristic, complemented
89C2×#14556581C2211yescharacteristic, complemented
90C2×#14556581C2211yescharacteristic, complemented
91C2×#14556581C2211yescharacteristic, complemented
92C2×#14556581C2211yescharacteristic, complemented
93C2×#14556580C2211yescharacteristic
94C2×#14556580C2211yescharacteristic
95C2×#14556580C2211yescharacteristic, complemented
96C2×#14556579C2211yescharacteristic, complemented
97C2×#14556578C2211yescharacteristic, complemented
98C2×#14556577C2211yescharacteristic
99C2×#14556577C2211yescharacteristic
100C2×#14556577C2211yescharacteristic, complemented
101C2×#14556577C2211yescharacteristic, complemented
102C2×#14556576C2211yescharacteristic
103C2×#14556576C2211yescharacteristic
104C2×#14556576C2211yescharacteristic
105C2×#14556576C2211yescharacteristic
106C2×#14556576C2211yescharacteristic, complemented
107C2×#14556576C2211yescharacteristic, complemented
108C2×#14556576C2211yescharacteristic, complemented
109C2×#14556576C2211yescharacteristic, complemented
110C2×#14556575C2211yescharacteristic, complemented
111C2×#14556574C2211yescharacteristic
112C2×#14556574C2211yescharacteristic
113C2×#14556574C2211yescharacteristic, complemented
114C2×#14556574C2211yescharacteristic, complemented
115C2×#14556574C2211yescharacteristic, complemented
116C2×#14556574C2211yescharacteristic, complemented
117C2×#14556573C2211yescharacteristic
118C2×#14556573C2211yescharacteristic
119C2×#14556573C2211yescharacteristic, complemented
120C2×#14556573C2211yescharacteristic, complemented
121C2×#14556572C2211yescharacteristic, complemented
122C2×#14556571C2211yescharacteristic, complemented
123C2×#14556570C2211yescharacteristic, complemented
124C2×#14556570C2211yescharacteristic, complemented
125C2×#14556569C2211yescharacteristic, complemented
126C2×#14556569C2211yescharacteristic, complemented
127C2×#14556569C2211yescharacteristic, complemented
128C2×#14556569C2211yescharacteristic, complemented
129C2×#14556568C2211yescharacteristic, complemented
130C2×#14556568C2211yescharacteristic, complemented
131C2×#14556567C2211yescharacteristic, complemented
132C2×#14556567C2211yescharacteristic, complemented
133C2×#14556567C2211yescharacteristic, complemented
134C2×#14556567C2211yescharacteristic, complemented
135C2×#14556566C2211yescharacteristic
136C2×#14556566C2211yescharacteristic
137C2×#14556566C2211yescharacteristic, complemented
138C2×#14556565C2211yescharacteristic
139C2×#14556565C2211yescharacteristic
140C2×#14556565C2211yescharacteristic
141C2×#14556565C2211yescharacteristic, complemented
142C2×#14556565C2211yescharacteristic, complemented
143C2×#14556565C2211yescharacteristic, complemented
144C2×#14556564C2211yescharacteristic
145C2×#14556564C2211yescharacteristic
146C2×#14556564C2211yescharacteristic, complemented
147C2×#14556564C2211yescharacteristic, complemented
148C2×#14556563C2211yescharacteristic
149C2×#14556563C2211yescharacteristic
150C2×#14556563C2211yescharacteristic
151C2×#14556563C2211yescharacteristic
152C2×#14556563C2211yescharacteristic, complemented
153C2×#14556563C2211yescharacteristic, complemented
154C2×#14556563C2211yescharacteristic, complemented
155C2×#14556563C2211yescharacteristic, complemented
156C2×#14556563C2211yescharacteristic, complemented
157C2×#14556563C2211yescharacteristic, complemented
158C2×#14556562C2211yescharacteristic, complemented
159C2×#14556562C2211yescharacteristic, complemented
160C2×#14556561C2211yescharacteristic
161C2×#14556561C2211yescharacteristic
162C2×#14556561C2211yescharacteristic
163C2×#14556561C2211yescharacteristic, complemented
164C2×#14556561C2211yescharacteristic, complemented
165C2×#14556559C2211yescharacteristic
166C2×#14556559C2211yescharacteristic
167C2×#14556559C2211yescharacteristic
168C2×#14556559C2211yescharacteristic, complemented
169C2×#14556559C2211yescharacteristic, complemented
170C2×#14556556C2211yescharacteristic, complemented
171C2×D4×Dic73C2211yescharacteristic, complemented
172C2×D4×Dic73C2211yescharacteristic, complemented
173C2×#14556553C2211yescharacteristic, complemented
174C2×#14556553C2211yescharacteristic, complemented
175C2×#14556553C2211yescharacteristic, complemented
176C2×C4×C22⋊D73C2211yescharacteristic, complemented
177C2×C4×C22⋊D73C2211yescharacteristic, complemented
178C2×C4×C22⋊D73C2211yescharacteristic, complemented
179C2×C4×C22⋊D73C2211yescharacteristic, complemented
180C2×C4×C22⋊D73C2211yescharacteristic, complemented
181C2×C4×C22⋊D73C2211yescharacteristic, complemented
182C2×C4×C22⋊D73C2211yescharacteristic, complemented
183C2×C4×C22⋊D73C2211yescharacteristic, complemented
184C2×#14556551C2211yescharacteristic, complemented
185C2×#14556551C2211yescharacteristic, complemented
186C2×#14556551C2211yescharacteristic, complemented
187C2×#14556551C2211yescharacteristic, complemented
188C2×#14556549C2211yescharacteristic, complemented
189C2×#14556548C2211yescharacteristic, complemented
190C2×#14556547C2211yescharacteristic, complemented
191C2×#14556547C2211yescharacteristic, complemented
192C22×C4⋊Dic73C2211yescharacteristic, complemented
193C22×#11924007C2211yescharacteristic, complemented
194C2×C4⋊C4×D73C2211yescharacteristic, complemented
195C22×#11924005C2211yescharacteristic
196C22×#11924005C2211yescharacteristic
197C22×#11924005C2211yescharacteristic
198C22×#11924005C2211yescharacteristic, complemented
199C22×#11924005C2211yescharacteristic, complemented
200C2×C22⋊C4×D73C2211yescharacteristic, complemented
201C2×C22⋊C4×D73C2211yescharacteristic, complemented
202C22×C4×Dic73C2211yescharacteristic, complemented
203C22×#41×C73C2211yescharacteristic, complemented
204C22×#41×C73C2211yescharacteristic, complemented
205#547×C73C22116yescomplemented
206C2×C4⋊Q8×C73C2211yescharacteristic, complemented
207C2×#123×C73C2211yescharacteristic, complemented
208C2×#123×C73C2211yescharacteristic, complemented
209C2×#123×C73C2211yescharacteristic, complemented
210C2×#123×C73C2211yescharacteristic, complemented
211C2×C22⋊Q8×C73C2211yescharacteristic, complemented
212C2×C22⋊Q8×C73C2211yescharacteristic, complemented
213C2×#121×C73C2211yescharacteristic
214C2×#121×C73C2211yescharacteristic, complemented
215C2×C4×D4×C73C2211yescharacteristic, complemented
216C2×C4×D4×C73C2211yescharacteristic, complemented
217C22×C4⋊C4×C73C2211yescharacteristic, complemented
218C22×C4⋊C4×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221C24×D73C2311yescharacteristic
222C2×#11924028—44no—
223C2×#11924028—44no—
224C2×#11924028C2318yescomplemented
225C2×#11924028C2318yescomplemented
226C22×Dic146C2311yescharacteristic
227C22×Dic146C2311yescharacteristic
228C22×Dic146C2311yescharacteristic
229C22×D292C2311yescharacteristic
230C22×D292C2311yescharacteristic
231C22×D292C2311yescharacteristic
232C22×D292C2311yescharacteristic
233C22×D292C2311yescharacteristic
234C22×D292C2311yescharacteristic
235C22×D292C2311yescharacteristic
236C22×C22⋊D73C2311yescharacteristic
237C22×C22⋊D73C2311yescharacteristic
238C22×C22⋊D73C2311yescharacteristic
239C22×C22⋊D73C2311yescharacteristic
240C22×C22⋊D73C2311yescharacteristic
241C22×C22⋊D73C2311yescharacteristic
242C22×C22⋊D73C2311yescharacteristic
243C22×C22⋊D73C2311yescharacteristic
244C22×C22⋊D73C2311yescharacteristic
245C22×C22⋊D73C2311yescharacteristic
246C22×C22⋊D73C2311yescharacteristic
247C22×C22⋊D73C2311yescharacteristic
248C22×C22⋊D73C2311yescharacteristic
249C22×C22⋊D73C2311yescharacteristic
250C2×D4×D73—44no—
251C2×D4×D73—44no—
252C2×D4×D73C2318yes—
253C2×D4×D73C2318yes—
254C23×Dic73C2311yescharacteristic
255C23×Dic73C2311yescharacteristic
256C23×Dic73C2311yescharacteristic
257C23×Dic73C2311yescharacteristic
258C23×Dic73C2311yescharacteristic
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#14556590C2318yescomplemented
269#14556589C2318yescomplemented
270#14556587C2318yescomplemented
271#14556586C2318yescomplemented
272#14556586C2318yescomplemented
273#14556586C2318yescomplemented
274#14556586C2318yescomplemented
275#14556586C2318yescomplemented
276#14556586C2318yescomplemented
277#14556586C2318yescomplemented
278#14556586C2318yescomplemented
279#14556586C2318yescomplemented
280#14556586C2318yescomplemented
281#14556586C2318yescomplemented
282#14556586C2318yescomplemented
283#14556585C2318yescomplemented
284#14556585C2318yescomplemented
285#14556584C2318yescomplemented
286#14556584C2318yescomplemented
287#14556584C2318yescomplemented
288#14556584C2318yescomplemented
289#14556582C2318yescomplemented
290#14556581C2318yescomplemented
291#14556581C2318yescomplemented
292#14556581C2318yescomplemented
293#14556581C2318yescomplemented
294#14556580C2318yes—
295#14556580C2318yes—
296#14556580C2318yescomplemented
297#14556579C2318yescomplemented
298#14556578C2318yescomplemented
299#14556577C2318yes—
300#14556577C2318yes—
301#14556577C2318yescomplemented
302#14556577C2318yescomplemented
303#14556576C2318yes—
304#14556576C2318yes—
305#14556576C2318yes—
306#14556576C2318yes—
307#14556576C2318yescomplemented
308#14556576C2318yescomplemented
309#14556576C2318yescomplemented
310#14556576C2318yescomplemented
311#14556575C2318yescomplemented
312#14556574C2318yes—
313#14556574C2318yes—
314#14556574C2318yescomplemented
315#14556574C2318yescomplemented
316#14556574C2318yescomplemented
317#14556574C2318yescomplemented
318#14556573C2318yes—
319#14556573C2318yes—
320#14556573C2318yescomplemented
321#14556573C2318yescomplemented
322#14556572C2318yescomplemented
323#14556571C2318yescomplemented
324#14556570C2318yescomplemented
325#14556570C2318yescomplemented
326#14556569C2318yescomplemented
327#14556569C2318yescomplemented
328#14556569C2318yescomplemented
329#14556569C2318yescomplemented
330#14556568C2318yescomplemented
331#14556568C2318yescomplemented
332#14556567C2318yescomplemented
333#14556567C2318yescomplemented
334#14556567C2318yescomplemented
335#14556567C2318yescomplemented
336#14556566C2318yes—
337#14556566C2318yes—
338#14556566C2318yescomplemented
339#14556565C2318yes—
340#14556565C2318yes—
341#14556565C2318yes—
342#14556565C2318yescomplemented
343#14556565C2318yescomplemented
344#14556565C2318yescomplemented
345#14556564C2318yes—
346#14556564C2318yes—
347#14556564C2318yescomplemented
348#14556564C2318yescomplemented
349#14556563C2318yes—
350#14556563C2318yes—
351#14556563C2318yes—
352#14556563C2318yes—
353#14556563C2318yescomplemented
354#14556563C2318yescomplemented
355#14556563C2318yescomplemented
356#14556563C2318yescomplemented
357#14556563C2318yescomplemented
358#14556563C2318yescomplemented
359#14556562C2318yescomplemented
360#14556562C2318yescomplemented
361#14556561C2318yes—
362#14556561C2318yes—
363#14556561C2318yes—
364#14556561C2318yescomplemented
365#14556561C2318yescomplemented
366#14556559C2318yes—
367#14556559C2318yes—
368#14556559C2318yes—
369#14556559C2318yescomplemented
370#14556559C2318yescomplemented
371#14556556C2318yescomplemented
372D4×Dic73C2318yescomplemented
373D4×Dic73C2318yescomplemented
374#14556553C2318yescomplemented
375#14556553C2318yescomplemented
376#14556553C2318yescomplemented
377C4×C22⋊D73C2318yescomplemented
378C4×C22⋊D73C2318yescomplemented
379C4×C22⋊D73C2318yescomplemented
380C4×C22⋊D73C2318yescomplemented
381C4×C22⋊D73C2318yescomplemented
382C4×C22⋊D73C2318yescomplemented
383C4×C22⋊D73C2318yescomplemented
384C4×C22⋊D73C2318yescomplemented
385#14556551C2318yescomplemented
386#14556551C2318yescomplemented
387#14556551C2318yescomplemented
388#14556551C2318yescomplemented
389#14556549C2318yescomplemented
390#14556548C2318yescomplemented
391#14556547C2318yescomplemented
392#14556547C2318yescomplemented
393C2×C4⋊Dic73C2311yescharacteristic
394C2×C4⋊Dic73C2311yescharacteristic
395C2×C4⋊Dic73C2311yescharacteristic
396C2×C4⋊Dic73C2311yescharacteristic
397C2×C4⋊Dic73C2311yescharacteristic
398C2×C4⋊Dic73C2311yescharacteristic
399C2×C4⋊Dic73C2311yescharacteristic
400C2×C4⋊Dic73C2311yescharacteristic
401C2×C4⋊Dic73C2318yescomplemented
402C2×#11924007C2311yescharacteristic
403C2×#11924007C2311yescharacteristic
404C2×#11924007C2311yescharacteristic
405C2×#11924007C2311yescharacteristic
406C2×#11924007C2311yescharacteristic
407C2×#11924007C2311yescharacteristic
408C2×#11924007C2311yescharacteristic
409C2×#11924007C2311yescharacteristic
410C2×#11924007C2311yescharacteristic
411C2×#11924007C2311yescharacteristic
412C2×#11924007C2311yescharacteristic
413C2×#11924007C2311yescharacteristic
414C2×#11924007C2311yescharacteristic
415C2×#11924007C2311yescharacteristic
416C2×#11924007C2311yescharacteristic
417C2×#11924007C2311yescharacteristic
418C2×#11924007C2311yescharacteristic
419C2×#11924007C2311yescharacteristic
420C2×#11924007C2311yescharacteristic
421C2×#11924007C2311yescharacteristic
422C2×#11924007C2318yescomplemented
423C4⋊C4×D73C2318yescomplemented
424C2×C22⋊Dic73C2311yescharacteristic
425C2×C22⋊Dic73C2311yescharacteristic
426C2×C22⋊Dic73C2311yescharacteristic
427C2×C22⋊Dic73C2311yescharacteristic
428C2×C22⋊Dic73C2311yescharacteristic
429C2×C22⋊Dic73C2311yescharacteristic
430C2×C22⋊Dic73C2311yescharacteristic
431C2×C22⋊Dic73C2311yescharacteristic
432C2×C22⋊Dic73C2311yescharacteristic
433C2×C22⋊Dic73C2311yescharacteristic
434C2×#11924005C2318yes—
435C2×#11924005C2318yes—
436C2×#11924005C2318yes—
437C2×#11924005C2311yescharacteristic
438C2×#11924005C2311yescharacteristic
439C2×#11924005C2311yescharacteristic
440C2×#11924005C2311yescharacteristic
441C2×#11924005C2311yescharacteristic
442C2×#11924005C2311yescharacteristic
443C2×#11924005C2311yescharacteristic
444C2×#11924005C2311yescharacteristic
445C2×#11924005C2311yescharacteristic
446C2×#11924005C2311yescharacteristic
447C2×#11924005C2311yescharacteristic
448C2×#11924005C2311yescharacteristic
449C2×#11924005C2311yescharacteristic
450C2×#11924005C2311yescharacteristic
451C2×#11924005C2311yescharacteristic
452C2×#11924005C2311yescharacteristic
453C2×#11924005C2311yescharacteristic
454C2×#11924005C2311yescharacteristic
455C2×#11924005C2311yescharacteristic
456C2×#11924005C2311yescharacteristic
457C2×#11924005C2311yescharacteristic
458C2×#11924005C2311yescharacteristic
459C2×#11924005C2311yescharacteristic
460C2×#11924005C2311yescharacteristic
461C2×#11924005C2311yescharacteristic
462C2×#11924005C2311yescharacteristic
463C2×#11924005C2311yescharacteristic
464C2×#11924005C2311yescharacteristic
465C2×#11924005C2311yescharacteristic
466C2×#11924005C2311yescharacteristic
467C2×#11924005C2311yescharacteristic
468C2×#11924005C2311yescharacteristic
469C2×#11924005C2318yescomplemented
470C2×#11924005C2318yescomplemented
471C22⋊C4×D73C2318yescomplemented
472C22⋊C4×D73C2318yescomplemented
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×Dic73C2318yescomplemented
483C2×#41×C73—44no—
484C2×#41×C73—44no—
485C2×#41×C73C2318yescomplemented
486C2×#41×C73C2318yescomplemented
487C22×Q8×C73C2311yescharacteristic
488C22×Q8×C73C2311yescharacteristic
489C22×D4×C73C2311yescharacteristic
490C22×D4×C73C2311yescharacteristic
491C22×D4×C73C2311yescharacteristic
492C22×D4×C73C2311yescharacteristic
493C22×D4×C73C2311yescharacteristic
494C22×D4×C73C2311yescharacteristic
495C23×C4×C73C2311yescharacteristic
496C23×C4×C73C2311yescharacteristic
497C23×C4×C73C2311yescharacteristic
498C23×C4×C73C2311yescharacteristic
499C23×C4×C73C2311yescharacteristic
500C23×C4×C73C2311yescharacteristic
501C23×C4×C73C2311yescharacteristic
502C23×C4×C73C2311yescharacteristic
503C4⋊Q8×C73C2318yescomplemented
504#123×C73C2318yescomplemented
505#123×C73C2318yescomplemented
506#123×C73C2318yescomplemented
507#123×C73C2318yescomplemented
508C22⋊Q8×C73C2318yescomplemented
509C22⋊Q8×C73C2318yescomplemented
510#121×C73C2318yes—
511#121×C73C2318yescomplemented
512C4×D4×C73C2318yescomplemented
513C4×D4×C73C2318yescomplemented
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×C73C2318yescomplemented
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×C42×C73C2311yescharacteristic
535C23×D73—24no—
536C23×D73—42no—
537C23×D73—42no—
538C23×D73—42no—
539C23×D73—42no—
540C23×D73—42no—
541C23×D73—42no—
542C23×D73—42no—
543C23×D73—42no—
544C23×D73C2411yescharacteristic
545C23×D73C2411yescharacteristic
546C23×D73C2411yescharacteristic
547C23×D73C2411yescharacteristic
548C23×D73C2411yescharacteristic
549C23×D73C2414yes—
550C23×D73C2414yes—
551C23×D73C2414yes—
552#11924028—416no—
553#11924028—416no—
554C2×Dic146—42no—
555C2×Dic146—42no—
556C2×Dic146—42no—
557C2×Dic146C2414yes—
558C2×Dic146C2414yes—
559C2×Dic146C2414yes—
560C2×D292—42no—
561C2×D292—42no—
562C2×D292—42no—
563C2×D292—42no—
564C2×D292—42no—
565C2×D292—42no—
566C2×D292—42no—
567C2×D292C2414yes—
568C2×D292C2414yes—
569C2×D292C2414yes—
570C2×D292C2414yes—
571C2×D292C2414yes—
572C2×D292C2414yes—
573C2×D292C2414yes—
574C2×C22⋊D73—24no—
575C2×C22⋊D73—24no—
576C2×C22⋊D73—24no—
577C2×C22⋊D73—42no—
578C2×C22⋊D73—42no—
579C2×C22⋊D73—42no—
580C2×C22⋊D73—42no—
581C2×C22⋊D73—42no—
582C2×C22⋊D73—42no—
583C2×C22⋊D73—42no—
584C2×C22⋊D73—42no—
585C2×C22⋊D73—42no—
586C2×C22⋊D73—42no—
587C2×C22⋊D73—42no—
588C2×C22⋊D73C2414yes—
589C2×C22⋊D73C2414yes—
590C2×C22⋊D73C2414yes—
591C2×C22⋊D73C2414yes—
592C2×C22⋊D73C2414yes—
593C2×C22⋊D73C2414yes—
594C2×C22⋊D73C2414yes—
595C2×C22⋊D73C2414yes—
596C2×C22⋊D73C2414yes—
597C2×C22⋊D73C2414yes—
598C2×C22⋊D73C2414yes—
599C2×C22⋊D73C2414yes—
600C2×C22⋊D73C2414yes—
601C2×C22⋊D73C2414yes—
602D4×D73—416no—
603D4×D73—416no—
604C22×Dic73—42no—
605C22×Dic73—42no—
606C22×Dic73—42no—
607C22×Dic73—42no—
608C22×Dic73—42no—
609C22×Dic73C2411yescharacteristic
610C22×Dic73C2411yescharacteristic
611C22×Dic73C2411yescharacteristic
612C22×Dic73C2411yescharacteristic
613C22×Dic73C2411yescharacteristic
614C22×Dic73C2411yescharacteristic
615C22×Dic73C2411yescharacteristic
616C22×Dic73C2411yescharacteristic
617C22×Dic73C2411yescharacteristic
618C22×Dic73C2411yescharacteristic
619C22×Dic73C2411yescharacteristic
620C22×Dic73C2414yes—
621C22×Dic73C2414yes—
622C22×Dic73C2414yes—
623C22×Dic73C2414yes—
624C22×Dic73C2414yes—
625C2×C4×D73—42no—
626C2×C4×D73—42no—
627C2×C4×D73—42no—
628C2×C4×D73—42no—
629C2×C4×D73—42no—
630C2×C4×D73—42no—
631C2×C4×D73—42no—
632C2×C4×D73—42no—
633C2×C4×D73—42no—
634C2×C4×D73C2414yes—
635C2×C4×D73C2414yes—
636C2×C4×D73C2414yes—
637C2×C4×D73C2414yes—
638C2×C4×D73C2414yes—
639C2×C4×D73C2414yes—
640C2×C4×D73C2414yes—
641C2×C4×D73C2414yes—
642C2×C4×D73C2414yes—
643C4⋊Dic73C2414yes—
644C4⋊Dic73C2414yes—
645C4⋊Dic73C2414yes—
646C4⋊Dic73C2414yes—
647C4⋊Dic73C2414yes—
648C4⋊Dic73C2414yes—
649C4⋊Dic73C2414yes—
650C4⋊Dic73C2414yes—
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—
671C22⋊Dic73C2414yes—
672C22⋊Dic73C2414yes—
673C22⋊Dic73C2414yes—
674C22⋊Dic73C2414yes—
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—
701#11924005C2414yes—
702#11924005C2414yes—
703#11924005C2414yes—
704#11924005C2414yes—
705#11924005C2414yes—
706#11924005C2414yes—
707#11924005C2414yes—
708#11924005C2414yes—
709#11924005C2414yes—
710#11924005C2414yes—
711#11924005C2414yes—
712#11924005C2414yes—
713C4×Dic73C2414yes—
714C4×Dic73C2414yes—
715C4×Dic73C2414yes—
716C4×Dic73C2414yes—
717C4×Dic73C2414yes—
718C4×Dic73C2414yes—
719C4×Dic73C2414yes—
720C4×Dic73C2414yes—
721C4×Dic73C2414yes—
722C24×C73C2411yescharacteristic
723C24×C73C2411yescharacteristic
724C24×C73C2411yescharacteristic
725C24×C73C2411yescharacteristic
726#41×C73—416no—
727#41×C73—416no—
728C2×Q8×C73—42no—
729C2×Q8×C73—42no—
730C2×Q8×C73C2414yes—
731C2×Q8×C73C2414yes—
732C2×D4×C73—24no—
733C2×D4×C73—24no—
734C2×D4×C73—24no—
735C2×D4×C73—42no—
736C2×D4×C73—42no—
737C2×D4×C73—42no—
738C2×D4×C73C2414yes—
739C2×D4×C73C2414yes—
740C2×D4×C73C2414yes—
741C2×D4×C73C2414yes—
742C2×D4×C73C2414yes—
743C2×D4×C73C2414yes—
744C22×C4×C73—24no—
745C22×C4×C73—24no—
746C22×C4×C73—42no—
747C22×C4×C73—42no—
748C22×C4×C73—42no—
749C22×C4×C73—42no—
750C22×C4×C73—42no—
751C22×C4×C73—42no—
752C22×C4×C73C2411yescharacteristic
753C22×C4×C73C2411yescharacteristic
754C22×C4×C73C2411yescharacteristic
755C22×C4×C73C2411yescharacteristic
756C22×C4×C73C2411yescharacteristic
757C22×C4×C73C2411yescharacteristic
758C22×C4×C73C2411yescharacteristic
759C22×C4×C73C2411yescharacteristic
760C22×C4×C73C2411yescharacteristic
761C22×C4×C73C2411yescharacteristic
762C22×C4×C73C2411yescharacteristic
763C22×C4×C73C2414yes—
764C22×C4×C73C2414yes—
765C22×C4×C73C2414yes—
766C22×C4×C73C2414yes—
767C22×C4×C73C2414yes—
768C22×C4×C73C2414yes—
769C22×C4×C73C2414yes—
770C22×C4×C73C2414yes—
771C4⋊C4×C73C2414yes—
772C4⋊C4×C73C2414yes—
773C4⋊C4×C73C2414yes—
774C4⋊C4×C73C2414yes—
775C4⋊C4×C73C2414yes—
776C4⋊C4×C73C2414yes—
777C4⋊C4×C73C2414yes—
778C4⋊C4×C73C2414yes—
779C4⋊C4×C73C2414yes—
780C4⋊C4×C73C2414yes—
781C22⋊C4×C73C2414yes—
782C22⋊C4×C73C2414yes—
783C22⋊C4×C73C2414yes—
784C22⋊C4×C73C2414yes—
785C22⋊C4×C73C2414yes—
786C22⋊C4×C73C2414yes—
787C22⋊C4×C73C2414yes—
788C22⋊C4×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×C73—22no—
799C23×C73—22no—
800C23×C73—22no—
801C23×C73H(5,𝔽2)14yes—
802C23×C73C2512yes—
803C23×C73C2512yes—
804C23×C73C2512yes—
805C23×C73C2512yes—
806C23×C73C2511yescharacteristic
807C22×D73—22no—
808C22×D73—22no—
809C22×D73—22no—
810C22×D73—22no—
811C22×D73—22no—
812C22×D73—22no—
813C22×D73—22no—
814C22×D73—22no—
815C22×D73—22no—
816C22×D73—22no—
817C22×D73—22no—
818C22×D73—22no—
819C22×D73—22no—
820C22×D73—22no—
821C22×D73—22no—
822C22×D73—28no—
823C22×D73—44no—
824C22×D73—44no—
825C22×D73—44no—
826C22×D73—44no—
827C22×D73—44no—
828C22×D73—44no—
829C22×D73—44no—
830C22×D73—44no—
831C22×D73—88no—
832C22×D73—88no—
833C22×D73—88no—
834C22×D73C2512yes—
835C22×D73C2512yes—
836C22×D73C2512yes—
837C22×D73C2512yes—
838C22×D73C2512yes—
839Q8×C73—44no—
840Q8×C73—44no—
841D4×C73—28no—
842D4×C73—28no—
843D4×C73—28no—
844D4×C73—44no—
845D4×C73—44no—
846D4×C73—44no—
847C2×C4×C73—22no—
848C2×C4×C73—22no—
849C2×C4×C73—22no—
850C2×C4×C73—22no—
851C2×C4×C73—28no—
852C2×C4×C73—28no—
853C2×C4×C73—22no—
854C2×C4×C73—22no—
855C2×C4×C73—22no—
856C2×C4×C73—22no—
857C2×C4×C73—22no—
858C2×C4×C73—22no—
859C2×C4×C73—22no—
860C2×C4×C73—44no—
861C2×C4×C73—44no—
862C2×C4×C73—44no—
863C2×C4×C73—44no—
864C2×C4×C73—44no—
865C2×C4×C73—44no—
866C2×C4×C73C2512yes—
867C2×C4×C73C2512yes—
868C2×C4×C73C2512yes—
869C2×C4×C73C2512yes—
870C2×C4×C73C2512yes—
871C2×C4×C73C2512yes—
872C2×C4×C73C2512yes—
873C2×C4×C73C2512yes—
874C2×C4×C73C2512yes—
875C2×C4×C73C2512yes—
876C2×C4×C73C2512yes—
877C22⋊D73—28no—
878C22⋊D73—28no—
879C22⋊D73—28no—
880C22⋊D73—44no—
881C22⋊D73—44no—
882C22⋊D73—44no—
883C22⋊D73—44no—
884C22⋊D73—44no—
885C22⋊D73—44no—
886C22⋊D73—44no—
887C22⋊D73—44no—
888C22⋊D73—44no—
889C22⋊D73—44no—
890C22⋊D73—44no—
891C2×Dic73—22no—
892C2×Dic73—22no—
893C2×Dic73—22no—
894C2×Dic73—22no—
895C2×Dic73—22no—
896C2×Dic73—22no—
897C2×Dic73—22no—
898C2×Dic73—22no—
899C2×Dic73—22no—
900C2×Dic73—22no—
901C2×Dic73—22no—
902C2×Dic73—44no—
903C2×Dic73—44no—
904C2×Dic73—44no—
905C2×Dic73—44no—
906C2×Dic73—44no—
907C2×Dic73C2512yes—
908C2×Dic73C2512yes—
909C2×Dic73C2512yes—
910C2×Dic73C2512yes—
911C2×Dic73C2512yes—
912C2×Dic73C2512yes—
913C2×Dic73C2512yes—
914C2×Dic73C2512yes—
915C2×Dic73C2512yes—
916C2×Dic73C2512yes—
917C2×Dic73C2512yes—
918D292—44no—
919D292—44no—
920D292—44no—
921D292—44no—
922D292—44no—
923D292—44no—
924D292—44no—
925C4×D73—44no—
926C4×D73—44no—
927C4×D73—44no—
928C4×D73—44no—
929C4×D73—44no—
930C4×D73—44no—
931C4×D73—44no—
932C4×D73—44no—
933C4×D73—44no—
934Dic146—44no—
935Dic146—44no—
936Dic146—44no—
937C22×C73—22no—
938C22×C73—22no—
939C22×C73—28no—
940C22×C73—22no—
941C22×C73—22no—
942C22×C73—22no—
943C22×C73—22no—
944C22×C73—22no—
945C22×C73—22no—
946C22×C73—22no—
947C22×C73—22no—
948C22×C73—22no—
949C22×C73—44no—
950C22×C73—44no—
951C22×C73—44no—
952C22×C73C2×H(5,𝔽2)14yes—
953C22×C73C2×H(5,𝔽2)12yes—
954C22×C73#58512yes—
955C22×C73#58512yes—
956C22×C73C2611yescharacteristic
957C2×D73—22no—
958C2×D73—22no—
959C2×D73—22no—
960C2×D73—22no—
961C2×D73—22no—
962C2×D73—22no—
963C2×D73—22no—
964C2×D73—22no—
965C2×D73—22no—
966C2×D73—22no—
967C2×D73—22no—
968C2×D73—22no—
969C2×D73—22no—
970C2×D73—22no—
971C2×D73—22no—
972C2×D73—44no—
973C2×D73—44no—
974C2×D73—44no—
975C2×D73—44no—
976C2×D73—44no—
977C2×D73—88no—
978C2×D73—88no—
979C2×D73—88no—
980C4×C73—22no—
981C4×C73—22no—
982C4×C73—22no—
983C4×C73—22no—
984C4×C73—22no—
985C4×C73—22no—
986C4×C73—22no—
987C4×C73—22no—
988C4×C73—22no—
989C4×C73—22no—
990C4×C73—22no—
991Dic73—22no—
992Dic73—22no—
993Dic73—22no—
994Dic73—22no—
995Dic73—22no—
996Dic73—22no—
997Dic73—22no—
998Dic73—22no—
999Dic73—22no—
1000Dic73—22no—
1001Dic73—22no—
1002C2×#3560—731nomaximal, Sylow
1003C2×C73—24no—
1004C2×C73—42no—
1005C2×C73—42no—
1006C2×C73—42no—
1007C2×C73#356014yescomplemented
1008C2×C73C22×H(5,𝔽2)11yescharacteristic
1009C2×C73C2×#58511yescharacteristic
1010C2×C73C2×#58511yescharacteristic
1011D73—42no—
1012D73—42no—
1013D73—42no—
1014D73—42no—
1015D73—42no—
1016#3560—7332no—
1017C2×#563—731no—
1018C2×#563—731no—
1019C2×#560—731no—
1020C2×#560—731no—
1021C2×#553—731no—
1022C2×#553—731no—
1023C2×#553—731no—
1024C2×#553—731no—
1025C2×#551—731no—
1026C2×#551—731no—
1027C2×#547—731no—
1028C2×#547D7311yescharacteristic, complemented
1029C2×#546—731no—
1030C2×#546—731no—
1031C2×#546—731no—
1032C2×#546—731no—
1033C2×#542—731no—
1034C2×#542—731no—
1035C2×#539—731no—
1036C2×#539—731no—
1037C2×#539—731no—
1038C2×#538—731no—
1039C2×#538—731no—
1040C2×#538—731no—
1041C2×#538—731no—
1042C2×#538—731no—
1043C2×#537—731no—
1044C2×#534—731no—
1045C2×#532—731no—
1046C2×#529—731no—
1047C22×#126—731no—
1048C73C2×#356011yescharacteristic, complemented, Sylow
1049C22×#41—731no—
1050C22×#41—731no—
1051C22×#41C2×D7311yescharacteristic, complemented
1052C22×#41C2×D7311yescharacteristic, complemented
1053C23×D4—731no—
1054C23×D4—731no—
1055#563—7316no—
1056#563—7316no—
1057#560—7316no—
1058#560—7316no—
1059#553—7316no—
1060#553—7316no—
1061#553—7316no—
1062#553—7316no—
1063#551—7316no—
1064#551—7316no—
1065#547—7316no—
1066#547C2×D73116yescomplemented
1067#546—7316no—
1068#546—7316no—
1069#546—7316no—
1070#546—7316no—
1071#542—7316no—
1072#542—7316no—
1073#539—7316no—
1074#539—7316no—
1075#539—7316no—
1076#538—7316no—
1077#538—7316no—
1078#538—7316no—
1079#538—7316no—
1080#538—7316no—
1081#537—7316no—
1082#534—7316no—
1083#532—7316no—
1084C2×C4⋊Q8—731no—
1085C2×C4⋊Q8—731no—
1086C2×C4⋊Q8C2×D7311yescharacteristic, complemented
1087C2×#127—731no—
1088#529—7316no—
1089C2×#126—731no—
1090C2×#126—731no—
1091C2×#126—731no—
1092C2×#126—731no—
1093C2×#126—731no—
1094C2×#126—731no—
1095C2×#126—731no—
1096C2×#126—731no—
1097C2×#126—731no—
1098C2×#126—731no—
1099C2×#126—731no—
1100C2×#126—731no—
1101C2×#126—7316no—
1102C2×#126—731no—
1103C2×#126—731no—
1104C2×#126—731no—
1105C2×#126—731no—
1106C2×#126—731no—
1107C2×#126—731no—
1108C2×#125—731no—
1109C2×#125—731no—
1110C2×#125—731no—
1111C2×#125—731no—
1112C2×#125—731no—
1113C2×#124—731no—
1114C2×#124—731no—
1115C2×#124—731no—
1116C2×#124—731no—
1117C2×#124—731no—
1118C2×#124—731no—
1119C2×#124—731no—
1120C2×#124—731no—
1121C2×#124—731no—
1122C2×#123—731no—
1123C2×#123—731no—
1124C2×#123—731no—
1125C2×#123—731no—
1126C2×#123—731no—
1127C2×#123—731no—
1128C2×#123—731no—
1129C2×#123—731no—
1130C2×#123—731no—
1131C2×#123—731no—
1132C2×#123—731no—
1133C2×#123—731no—
1134C2×#123—731no—
1135C2×#123—731no—
1136C2×#123—731no—
1137C2×#123—731no—
1138C2×#123—731no—
1139C2×#123—731no—
1140C2×#123—731no—
1141C2×#123—731no—
1142C2×#123C2×D7311yescharacteristic, complemented
1143C2×#123C2×D7311yescharacteristic, complemented
1144C2×#123C2×D7311yescharacteristic, complemented
1145C2×#123C2×D7311yescharacteristic, complemented
1146C2×C22⋊Q8—731no—
1147C2×C22⋊Q8—731no—
1148C2×C22⋊Q8—731no—
1149C2×C22⋊Q8—731no—
1150C2×C22⋊Q8—731no—
1151C2×C22⋊Q8—731no—
1152C2×C22⋊Q8—731no—
1153C2×C22⋊Q8—731no—
1154C2×C22⋊Q8—731no—
1155C2×C22⋊Q8—731no—
1156C2×C22⋊Q8—731no—
1157C2×C22⋊Q8—731no—
1158C2×C22⋊Q8—731no—
1159C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1160C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1161C2×#121—731no—
1162C2×#121—731no—
1163C2×#121—731no—
1164C2×#121—731no—
1165C2×#121—731no—
1166C2×#121—731no—
1167C2×#121—731no—
1168C2×#121—731no—
1169C2×#121—731no—
1170C2×#121—731no—
1171C2×#121—731no—
1172C2×#121—731no—
1173C2×#121—731no—
1174C2×#121—731no—
1175C2×#121—731no—
1176C2×#121—731no—
1177C2×#121—731no—
1178C2×#121—731no—
1179C2×#121—731no—
1180C2×#121—731no—
1181C2×#121—731no—
1182C2×#121—731no—
1183C2×#121—731no—
1184C2×#121—731no—
1185C2×#121—731no—
1186C2×#121C2×D7311yescharacteristic
1187C2×#121C2×D7311yescharacteristic, complemented
1188C2×#120—731no—
1189C2×#120—731no—
1190C2×#120—731no—
1191C2×#120—731no—
1192C2×#120—731no—
1193C2×#120—731no—
1194C2×#120—731no—
1195C2×#120—731no—
1196C2×#120—731no—
1197C2×#120—731no—
1198C2×C4×Q8—731no—
1199C2×C4×D4—731no—
1200C2×C4×D4—731no—
1201C2×C4×D4—731no—
1202C2×C4×D4—731no—
1203C2×C4×D4—731no—
1204C2×C4×D4—731no—
1205C2×C4×D4—731no—
1206C2×C4×D4—731no—
1207C2×C4×D4—731no—
1208C2×C4×D4—731no—
1209C2×C4×D4—731no—
1210C2×C4×D4—731no—
1211C2×C4×D4—731no—
1212C2×C4×D4—731no—
1213C2×C4×D4—731no—
1214C2×C4×D4—731no—
1215C2×C4×D4—731no—
1216C2×C4×D4C2×D7311yescharacteristic, complemented
1217C2×C4×D4C2×D7311yescharacteristic, complemented
1218C2×#117—731no—
1219C2×#117—731no—
1220C2×#117—731no—
1221C2×#117—731no—
1222C22×C4⋊C4—731no—
1223C22×C4⋊C4—731no—
1224C22×C4⋊C4—731no—
1225C22×C4⋊C4C2×D7311yescharacteristic, complemented
1226C22×C4⋊C4C2×D7311yescharacteristic, complemented
1227C22×C22⋊C4—731no—
1228C22×C22⋊C4—731no—
1229C22×C22⋊C4—731no—
1230C22×C22⋊C4—731no—
1231C22×C22⋊C4—731no—
1232C22×C22⋊C4—731no—
1233C22×C22⋊C4—731no—
1234C22×C42—731no—
1235C25—731no—
1236C25—731no—
1237C25—731no—
1238C2×#41—44no—
1239C2×#41—44no—
1240C2×#41—2924no—
1241C2×#41—2924no—
1242C2×#41—738no—
1243C2×#41—738no—
1244C2×#41C22×D7318yescomplemented
1245C2×#41C22×D7318yescomplemented
1246C22×Q8—731no—
1247C22×Q8—731no—
1248C22×Q8—731no—
1249C22×Q8C22×D7311yescharacteristic
1250C22×Q8C22×D7311yescharacteristic
1251C22×D4—2924no—
1252C22×D4—2924no—
1253C22×D4—731no—
1254C22×D4—731no—
1255C22×D4—731no—
1256C22×D4—731no—
1257C22×D4—731no—
1258C22×D4—731no—
1259C22×D4—731no—
1260C22×D4—731no—
1261C22×D4—731no—
1262C22×D4—731no—
1263C22×D4—731no—
1264C22×D4—738no—
1265C22×D4—738no—
1266C22×D4—731no—
1267C22×D4—731no—
1268C22×D4—731no—
1269C22×D4—731no—
1270C22×D4—731no—
1271C22×D4—731no—
1272C22×D4—731no—
1273C22×D4—731no—
1274C22×D4—731no—
1275C22×D4—731no—
1276C22×D4C22×D7311yescharacteristic
1277C22×D4C22×D7311yescharacteristic
1278C22×D4C22×D7311yescharacteristic
1279C22×D4C22×D7311yescharacteristic
1280C22×D4C22×D7311yescharacteristic
1281C22×D4C22×D7311yescharacteristic
1282C23×C4—731no—
1283C23×C4—731no—
1284C23×C4—731no—
1285C23×C4—731no—
1286C23×C4—731no—
1287C23×C4—731no—
1288C23×C4—731no—
1289C23×C4—731no—
1290C23×C4—731no—
1291C23×C4—731no—
1292C23×C4—731no—
1293C23×C4—731no—
1294C23×C4—731no—
1295C23×C4—731no—
1296C23×C4C22×D7311yescharacteristic
1297C23×C4C22×D7311yescharacteristic
1298C23×C4C22×D7311yescharacteristic
1299C23×C4C22×D7311yescharacteristic
1300C23×C4C22×D7311yescharacteristic
1301C23×C4C22×D7311yescharacteristic
1302C23×C4C22×D7311yescharacteristic
1303C23×C4C22×D7311yescharacteristic
1304C4⋊Q8—738no—
1305C4⋊Q8—738no—
1306C4⋊Q8C22×D7318yescomplemented
1307#127—738no—
1308#126—738no—
1309#126—738no—
1310#126—738no—
1311#126—738no—
1312#126—738no—
1313#126—738no—
1314#126—738no—
1315#126—738no—
1316#126—738no—
1317#126—738no—
1318#126—738no—
1319#126—738no—
1320#126—738no—
1321#126—738no—
1322#126—738no—
1323#126—738no—
1324#126—738no—
1325#126—738no—
1326#125—738no—
1327#125—738no—
1328#125—738no—
1329#125—738no—
1330#125—738no—
1331#124—738no—
1332#124—738no—
1333#124—738no—
1334#124—738no—
1335#124—738no—
1336#124—738no—
1337#124—738no—
1338#124—738no—
1339#124—738no—
1340#123—738no—
1341#123—738no—
1342#123—738no—
1343#123—738no—
1344#123—738no—
1345#123—738no—
1346#123—738no—
1347#123—738no—
1348#123—738no—
1349#123—738no—
1350#123—738no—
1351#123—738no—
1352#123—738no—
1353#123—738no—
1354#123—738no—
1355#123—738no—
1356#123—738no—
1357#123—738no—
1358#123—738no—
1359#123—738no—
1360#123C22×D7318yescomplemented
1361#123C22×D7318yescomplemented
1362#123C22×D7318yescomplemented
1363#123C22×D7318yescomplemented
1364C22⋊Q8—738no—
1365C22⋊Q8—738no—
1366C22⋊Q8—738no—
1367C22⋊Q8—738no—
1368C22⋊Q8—738no—
1369C22⋊Q8—738no—
1370C22⋊Q8—738no—
1371C22⋊Q8—738no—
1372C22⋊Q8—738no—
1373C22⋊Q8—738no—
1374C22⋊Q8—738no—
1375C22⋊Q8—738no—
1376C22⋊Q8—738no—
1377C22⋊Q8C22×D7318yescomplemented
1378C22⋊Q8C22×D7318yescomplemented
1379#121—738no—
1380#121—738no—
1381#121—738no—
1382#121—738no—
1383#121—738no—
1384#121—738no—
1385#121—738no—
1386#121—738no—
1387#121—738no—
1388#121—738no—
1389#121—738no—
1390#121—738no—
1391#121—738no—
1392#121—738no—
1393#121—738no—
1394#121—738no—
1395#121—738no—
1396#121—738no—
1397#121—738no—
1398#121—738no—
1399#121—738no—
1400#121—738no—
1401#121—738no—
1402#121—738no—
1403#121—738no—
1404#121C22×D7318yes—
1405#121C22×D7318yescomplemented
1406#120—738no—
1407#120—738no—
1408#120—738no—
1409#120—738no—
1410#120—738no—
1411#120—738no—
1412#120—738no—
1413#120—738no—
1414#120—738no—
1415#120—738no—
1416C4×Q8—738no—
1417C4×D4—738no—
1418C4×D4—738no—
1419C4×D4—738no—
1420C4×D4—738no—
1421C4×D4—738no—
1422C4×D4—738no—
1423C4×D4—738no—
1424C4×D4—738no—
1425C4×D4—738no—
1426C4×D4—738no—
1427C4×D4—738no—
1428C4×D4—738no—
1429C4×D4—738no—
1430C4×D4—738no—
1431C4×D4—738no—
1432C4×D4—738no—
1433C4×D4—738no—
1434C4×D4C22×D7318yescomplemented
1435C4×D4C22×D7318yescomplemented
1436#117—738no—
1437#117—738no—
1438#117—738no—
1439#117—738no—
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—731no—
1454C2×C4⋊C4—731no—
1455C2×C4⋊C4—731no—
1456C2×C4⋊C4—731no—
1457C2×C4⋊C4—731no—
1458C2×C4⋊C4—731no—
1459C2×C4⋊C4—731no—
1460C2×C4⋊C4—731no—
1461C2×C4⋊C4—731no—
1462C2×C4⋊C4—731no—
1463C2×C4⋊C4—731no—
1464C2×C4⋊C4—731no—
1465C2×C4⋊C4—731no—
1466C2×C4⋊C4—731no—
1467C2×C4⋊C4—731no—
1468C2×C4⋊C4—731no—
1469C2×C4⋊C4—731no—
1470C2×C4⋊C4—738no—
1471C2×C4⋊C4C22×D7311yescharacteristic
1472C2×C4⋊C4C22×D7311yescharacteristic
1473C2×C4⋊C4C22×D7311yescharacteristic
1474C2×C4⋊C4C22×D7311yescharacteristic
1475C2×C4⋊C4C22×D7311yescharacteristic
1476C2×C4⋊C4C22×D7311yescharacteristic
1477C2×C4⋊C4C22×D7311yescharacteristic
1478C2×C4⋊C4C22×D7311yescharacteristic
1479C2×C4⋊C4C22×D7311yescharacteristic
1480C2×C4⋊C4C22×D7311yescharacteristic
1481C2×C4⋊C4C22×D7318yescomplemented
1482C2×C4⋊C4C22×D7318yescomplemented
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—731no—
1494C2×C22⋊C4—731no—
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—731no—
1506C2×C22⋊C4—731no—
1507C2×C22⋊C4—731no—
1508C2×C22⋊C4—731no—
1509C2×C22⋊C4—731no—
1510C2×C22⋊C4—731no—
1511C2×C22⋊C4—731no—
1512C2×C22⋊C4—731no—
1513C2×C22⋊C4—738no—
1514C2×C22⋊C4—738no—
1515C2×C22⋊C4—738no—
1516C2×C22⋊C4—738no—
1517C2×C22⋊C4—738no—
1518C2×C22⋊C4—731no—
1519C2×C22⋊C4—731no—
1520C2×C22⋊C4—731no—
1521C2×C22⋊C4—731no—
1522C2×C22⋊C4—731no—
1523C2×C22⋊C4—731no—
1524C2×C22⋊C4—731no—
1525C2×C22⋊C4—731no—
1526C2×C22⋊C4—731no—
1527C2×C22⋊C4—731no—
1528C2×C22⋊C4—731no—
1529C2×C22⋊C4—731no—
1530C2×C22⋊C4—738no—
1531C2×C22⋊C4—738no—
1532C2×C22⋊C4C22×D7311yescharacteristic
1533C2×C22⋊C4C22×D7311yescharacteristic
1534C2×C22⋊C4C22×D7311yescharacteristic
1535C2×C22⋊C4C22×D7311yescharacteristic
1536C2×C22⋊C4C22×D7311yescharacteristic
1537C2×C22⋊C4C22×D7311yescharacteristic
1538C2×C22⋊C4C22×D7311yescharacteristic
1539C2×C22⋊C4C22×D7311yescharacteristic
1540C2×C42—731no—
1541C2×C42—731no—
1542C2×C42—731no—
1543C2×C42—731no—
1544C2×C42—731no—
1545C2×C42—731no—
1546C2×C42—731no—
1547C2×C42—731no—
1548C2×C42—731no—
1549C2×C42—738no—
1550C2×C42C22×D7311yescharacteristic
1551C24—2922no—
1552C24—2922no—
1553C24—2922no—
1554C24—2922no—
1555C24—2922no—
1556C24—2922no—
1557C24—2922no—
1558C24—2922no—
1559C24—734no—
1560C24—734no—
1561C24—734no—
1562C24—731no—
1563C24—731no—
1564C24—731no—
1565C24—731no—
1566C24—731no—
1567C24—1464no—
1568C24C23×D7311yescharacteristic
1569C24C23×D7311yescharacteristic
1570C24C23×D7311yescharacteristic
1571C24C23×D7311yescharacteristic
1572#41—416no—
1573#41—416no—
1574#41—29216no—
1575#41—29216no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—2922no—
1579C2×Q8—2922no—
1580C2×Q8—2922no—
1581C2×Q8—734no—
1582C2×Q8—734no—
1583C2×Q8—734no—
1584C2×Q8C23×D7314yes—
1585C2×Q8C23×D7314yes—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—24no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—2922no—
1593C2×D4—2922no—
1594C2×D4—2922no—
1595C2×D4—2922no—
1596C2×D4—2922no—
1597C2×D4—2922no—
1598C2×D4—2922no—
1599C2×D4—29216no—
1600C2×D4—29216no—
1601C2×D4—2922no—
1602C2×D4—2922no—
1603C2×D4—2922no—
1604C2×D4—2922no—
1605C2×D4—2922no—
1606C2×D4—2922no—
1607C2×D4—2922no—
1608C2×D4—2922no—
1609C2×D4—2922no—
1610C2×D4—2922no—
1611C2×D4—2922no—
1612C2×D4—734no—
1613C2×D4—734no—
1614C2×D4—734no—
1615C2×D4—734no—
1616C2×D4—734no—
1617C2×D4—734no—
1618C2×D4—734no—
1619C2×D4—734no—
1620C2×D4—734no—
1621C2×D4—734no—
1622C2×D4—734no—
1623C2×D4—734no—
1624C2×D4—734no—
1625C2×D4—734no—
1626C2×D4—734no—
1627C2×D4—734no—
1628C2×D4—734no—
1629C2×D4—734no—
1630C2×D4—734no—
1631C2×D4—734no—
1632C2×D4—734no—
1633C2×D4—1464no—
1634C2×D4—1464no—
1635C2×D4—1464no—
1636C2×D4C23×D7314yes—
1637C2×D4C23×D7314yes—
1638C2×D4C23×D7314yes—
1639C2×D4C23×D7314yes—
1640C2×D4C23×D7314yes—
1641C2×D4C23×D7314yes—
1642C22×C4—24no—
1643C22×C4—24no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—2922no—
1651C22×C4—2922no—
1652C22×C4—2922no—
1653C22×C4—2922no—
1654C22×C4—2922no—
1655C22×C4—2922no—
1656C22×C4—2922no—
1657C22×C4—2922no—
1658C22×C4—2922no—
1659C22×C4—2922no—
1660C22×C4—2922no—
1661C22×C4—2922no—
1662C22×C4—2922no—
1663C22×C4—2922no—
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—731no—
1679C22×C4—731no—
1680C22×C4—731no—
1681C22×C4—731no—
1682C22×C4—731no—
1683C22×C4—731no—
1684C22×C4—731no—
1685C22×C4—731no—
1686C22×C4—731no—
1687C22×C4—731no—
1688C22×C4—731no—
1689C22×C4C23×D7314yes—
1690C22×C4C23×D7314yes—
1691C22×C4C23×D7311yescharacteristic
1692C22×C4C23×D7311yescharacteristic
1693C22×C4C23×D7311yescharacteristic
1694C22×C4C23×D7311yescharacteristic
1695C22×C4C23×D7311yescharacteristic
1696C22×C4C23×D7311yescharacteristic
1697C22×C4C23×D7311yescharacteristic
1698C22×C4C23×D7311yescharacteristic
1699C22×C4C23×D7311yescharacteristic
1700C22×C4C23×D7311yescharacteristic
1701C22×C4C23×D7311yescharacteristic
1702C22×C4C23×D7314yes—
1703C22×C4C23×D7314yes—
1704C22×C4C23×D7314yes—
1705C22×C4C23×D7314yes—
1706C22×C4C23×D7314yes—
1707C22×C4C23×D7314yes—
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⋊C4—734no—
1717C4⋊C4—734no—
1718C4⋊C4—734no—
1719C4⋊C4—734no—
1720C4⋊C4—734no—
1721C4⋊C4—734no—
1722C4⋊C4—734no—
1723C4⋊C4—734no—
1724C4⋊C4—734no—
1725C4⋊C4—734no—
1726C4⋊C4—734no—
1727C4⋊C4—734no—
1728C4⋊C4—734no—
1729C4⋊C4—734no—
1730C4⋊C4—734no—
1731C4⋊C4—734no—
1732C4⋊C4—734no—
1733C4⋊C4—734no—
1734C4⋊C4—734no—
1735C4⋊C4—734no—
1736C4⋊C4C23×D7314yes—
1737C4⋊C4C23×D7314yes—
1738C4⋊C4C23×D7314yes—
1739C4⋊C4C23×D7314yes—
1740C4⋊C4C23×D7314yes—
1741C4⋊C4C23×D7314yes—
1742C4⋊C4C23×D7314yes—
1743C4⋊C4C23×D7314yes—
1744C4⋊C4C23×D7314yes—
1745C4⋊C4C23×D7314yes—
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⋊C4—734no—
1763C22⋊C4—734no—
1764C22⋊C4—734no—
1765C22⋊C4—734no—
1766C22⋊C4—734no—
1767C22⋊C4—734no—
1768C22⋊C4—734no—
1769C22⋊C4—734no—
1770C22⋊C4—734no—
1771C22⋊C4—734no—
1772C22⋊C4—734no—
1773C22⋊C4—734no—
1774C22⋊C4—734no—
1775C22⋊C4—734no—
1776C22⋊C4—734no—
1777C22⋊C4—734no—
1778C22⋊C4—734no—
1779C22⋊C4—734no—
1780C22⋊C4—734no—
1781C22⋊C4—734no—
1782C22⋊C4—734no—
1783C22⋊C4—734no—
1784C22⋊C4—734no—
1785C22⋊C4—734no—
1786C22⋊C4—734no—
1787C22⋊C4—734no—
1788C22⋊C4C23×D7314yes—
1789C22⋊C4C23×D7314yes—
1790C22⋊C4C23×D7314yes—
1791C22⋊C4C23×D7314yes—
1792C22⋊C4C23×D7314yes—
1793C22⋊C4C23×D7314yes—
1794C22⋊C4C23×D7314yes—
1795C22⋊C4C23×D7314yes—
1796C42—734no—
1797C42—734no—
1798C42—734no—
1799C42—734no—
1800C42—734no—
1801C42—734no—
1802C42—734no—
1803C42—734no—
1804C42—734no—
1805C42C23×D7314yes—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—2924no—
1818C23—2924no—
1819C23—2924no—
1820C23—2924no—
1821C23—2924no—
1822C23—2924no—
1823C23—2924no—
1824C23—2924no—
1825C23—5848no—
1826C23—5848no—
1827C23—5848no—
1828C23—732no—
1829C23—732no—
1830C23—732no—
1831C23—732no—
1832C23—732no—
1833C23—1462no—
1834C23—1462no—
1835C23—1462no—
1836C23—1462no—
1837C23—1462no—
1838C23—1462no—
1839C23—1462no—
1840C23—1462no—
1841C23—1462no—
1842C23—1462no—
1843C23—1462no—
1844C23—1462no—
1845C23—1462no—
1846C23—1462no—
1847C23—1462no—
1848C23—1468no—
1849C23#1455663614yes—
1850C23C24×D7312yes—
1851C23C24×D7312yes—
1852C23C24×D7312yes—
1853C23C24×D7312yes—
1854C23C24×D7311yescharacteristic
1855Q8—44no—
1856Q8—44no—
1857Q8—2924no—
1858Q8—2924no—
1859Q8—2924no—
1860D4—28no—
1861D4—28no—
1862D4—28no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—2924no—
1867D4—2924no—
1868D4—2924no—
1869D4—2924no—
1870D4—2924no—
1871D4—2924no—
1872D4—2924no—
1873D4—2924no—
1874D4—2924no—
1875D4—2924no—
1876D4—2924no—
1877D4—2924no—
1878D4—2924no—
1879D4—2924no—
1880D4—2924no—
1881D4—2924no—
1882D4—2924no—
1883D4—2924no—
1884D4—1468no—
1885D4—1468no—
1886D4—1468no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—28no—
1892C2×C4—28no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—44no—
1905C2×C4—44no—
1906C2×C4—2924no—
1907C2×C4—2924no—
1908C2×C4—2924no—
1909C2×C4—2924no—
1910C2×C4—2924no—
1911C2×C4—2924no—
1912C2×C4—2924no—
1913C2×C4—2924no—
1914C2×C4—2924no—
1915C2×C4—2924no—
1916C2×C4—2924no—
1917C2×C4—2924no—
1918C2×C4—2924no—
1919C2×C4—2924no—
1920C2×C4—732no—
1921C2×C4—732no—
1922C2×C4—732no—
1923C2×C4—732no—
1924C2×C4—732no—
1925C2×C4—732no—
1926C2×C4—732no—
1927C2×C4—732no—
1928C2×C4—732no—
1929C2×C4—732no—
1930C2×C4—732no—
1931C2×C4—1462no—
1932C2×C4—1462no—
1933C2×C4—1462no—
1934C2×C4—1462no—
1935C2×C4—1462no—
1936C2×C4—1462no—
1937C2×C4—1462no—
1938C2×C4—1462no—
1939C2×C4—1462no—
1940C2×C4—1462no—
1941C2×C4—1462no—
1942C2×C4C24×D7312yes—
1943C2×C4C24×D7312yes—
1944C2×C4C24×D7312yes—
1945C2×C4C24×D7312yes—
1946C2×C4C24×D7312yes—
1947C2×C4C24×D7312yes—
1948C2×C4C24×D7312yes—
1949C2×C4C24×D7312yes—
1950C2×C4C24×D7312yes—
1951C2×C4C24×D7312yes—
1952C2×C4C24×D7312yes—
1953C22—28no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—2924no—
1969C22—2924no—
1970C22—2924no—
1971C22—2924no—
1972C22—2924no—
1973C22—5848no—
1974C22—5848no—
1975C22—5848no—
1976C22—1462no—
1977C22—1462no—
1978C22—1462no—
1979C22—1462no—
1980C22—1462no—
1981C22—1462no—
1982C22—1462no—
1983C22—1462no—
1984C22—1462no—
1985C22—1462no—
1986C22—1462no—
1987C22—1462no—
1988C22—1462no—
1989C22—1462no—
1990C22—1462no—
1991C22C2×#1455663614yes—
1992C22C2×#1455663612yes—
1993C22#1798942312yes—
1994C22#1798942412yes—
1995C22C25×D7311yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—1462no—
2008C4—1462no—
2009C4—1462no—
2010C4—1462no—
2011C4—1462no—
2012C4—1462no—
2013C4—1462no—
2014C4—1462no—
2015C4—1462no—
2016C4—1462no—
2017C4—1462no—
2018C2—24no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—2922no—
2023C2—2922no—
2024C2—2922no—
2025C2—2922no—
2026C2—2922no—
2027C2#2262447914yesdirect product factor
2028C2C22×#1455663611yescharacteristic
2029C2C2×#1798942311yescharacteristic
2030C2C2×#1798942411yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#547×C73C2
socleC23×C73C25
hypercenterC2×#547D73
hypocenterC73C2×#3560
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #22624479C2direct (N × H)
2. C2×#17989338C2semidirect
3. C2×#17989336C2semidirect
4. C2×#17989327C2semidirect
5. C2×#17989325C2semidirect
6. C2×#17989286C2semidirect
7. C2×#17989285C2semidirect
8. C2×#17989282C2semidirect
9. C2×#17989280C2semidirect
10. C2×#17989266C2semidirect
11. C2×#17989264C2semidirect
12. C2×#17989238C2semidirect
13. C2×#17989229C2semidirect
14. C2×#17989229C2semidirect
15. C2×#17989225C2semidirect
16. C2×#17989225C2semidirect
17. C2×#17989211C2semidirect
18. C2×#17989205C2semidirect
19. C2×#17989184C2semidirect
20. C2×#17989183C2semidirect
21. C2×#17989181C2semidirect
22. C2×#17989177C2semidirect
23. C2×#17989173C2semidirect
24. C2×#17989170C2semidirect
25. C2×#17989170C2semidirect
26. C2×#17989169C2semidirect
27. C2×#17989165C2semidirect
28. C2×#17989145C2semidirect
29. C2×#17989133C2semidirect
30. C2×#17989114C2semidirect
31. C22×#14556586C2semidirect
32. C2×#547×C73C2semidirect
33. C22×#11924028C22semidirect
34. C22×#11924028C22semidirect
37. #17989338C22semidirect
38. #17989336C22semidirect
39. #17989327C22semidirect
40. #17989325C22semidirect
41. #17989286C22semidirect
42. #17989285C22semidirect
43. #17989282C22semidirect
44. #17989280C22semidirect
45. #17989266C22semidirect
46. #17989264C22semidirect
47. #17989238C22semidirect
48. #17989229C22semidirect
49. #17989229C22semidirect
50. #17989225C22semidirect
51. #17989225C22semidirect
52. #17989211C22semidirect
53. #17989205C22semidirect
54. #17989184C22semidirect
55. #17989183C22semidirect
56. #17989181C22semidirect
57. #17989177C22semidirect
58. #17989173C22semidirect
59. #17989170C22semidirect
60. #17989170C22semidirect
61. #17989169C22semidirect
62. #17989165C22semidirect
63. #17989145C22semidirect
64. #17989133C22semidirect
65. C2×#14556590C22semidirect
66. C2×#14556589C22semidirect
67. C2×#14556587C22semidirect
68. #17989114C22semidirect
69. C2×#14556586C22semidirect
70. C2×#14556586C22semidirect
71. C2×#14556586C22semidirect
72. C2×#14556586C22semidirect
73. C2×#14556586C22semidirect
74. C2×#14556586C22semidirect
75. C2×#14556586C22semidirect
76. C2×#14556586C22semidirect
77. C2×#14556586C22semidirect
78. C2×#14556586C22semidirect
79. C2×#14556586C22semidirect
80. C2×#14556586C22semidirect
81. C2×#14556586C22semidirect
82. C2×#14556585C22semidirect
83. C2×#14556585C22semidirect
84. C2×#14556584C22semidirect
85. C2×#14556584C22semidirect
86. C2×#14556584C22semidirect
87. C2×#14556584C22semidirect
88. C2×#14556582C22semidirect
89. C2×#14556581C22semidirect
90. C2×#14556581C22semidirect
91. C2×#14556581C22semidirect
92. C2×#14556581C22semidirect
95. C2×#14556580C22semidirect
96. C2×#14556579C22semidirect
97. C2×#14556578C22semidirect
100. C2×#14556577C22semidirect
101. C2×#14556577C22semidirect
106. C2×#14556576C22semidirect
107. C2×#14556576C22semidirect
108. C2×#14556576C22semidirect
109. C2×#14556576C22semidirect
110. C2×#14556575C22semidirect
113. C2×#14556574C22semidirect
114. C2×#14556574C22semidirect
115. C2×#14556574C22semidirect
116. C2×#14556574C22semidirect
119. C2×#14556573C22semidirect
120. C2×#14556573C22semidirect
121. C2×#14556572C22semidirect
122. C2×#14556571C22semidirect
123. C2×#14556570C22semidirect
124. C2×#14556570C22semidirect
125. C2×#14556569C22semidirect
126. C2×#14556569C22semidirect
127. C2×#14556569C22semidirect
128. C2×#14556569C22semidirect
129. C2×#14556568C22semidirect
130. C2×#14556568C22semidirect
131. C2×#14556567C22semidirect
132. C2×#14556567C22semidirect
133. C2×#14556567C22semidirect
134. C2×#14556567C22semidirect
137. C2×#14556566C22semidirect
141. C2×#14556565C22semidirect
142. C2×#14556565C22semidirect
143. C2×#14556565C22semidirect
146. C2×#14556564C22semidirect
147. C2×#14556564C22semidirect
152. C2×#14556563C22semidirect
153. C2×#14556563C22semidirect
154. C2×#14556563C22semidirect
155. C2×#14556563C22semidirect
156. C2×#14556563C22semidirect
157. C2×#14556563C22semidirect
158. C2×#14556562C22semidirect
159. C2×#14556562C22semidirect
163. C2×#14556561C22semidirect
164. C2×#14556561C22semidirect
168. C2×#14556559C22semidirect
169. C2×#14556559C22semidirect
170. C2×#14556556C22semidirect
171. C2×D4×Dic73C22semidirect
172. C2×D4×Dic73C22semidirect
173. C2×#14556553C22semidirect
174. C2×#14556553C22semidirect
175. C2×#14556553C22semidirect
176. C2×C4×C22⋊D73C22semidirect
177. C2×C4×C22⋊D73C22semidirect
178. C2×C4×C22⋊D73C22semidirect
179. C2×C4×C22⋊D73C22semidirect
180. C2×C4×C22⋊D73C22semidirect
181. C2×C4×C22⋊D73C22semidirect
182. C2×C4×C22⋊D73C22semidirect
183. C2×C4×C22⋊D73C22semidirect
184. C2×#14556551C22semidirect
185. C2×#14556551C22semidirect
186. C2×#14556551C22semidirect
187. C2×#14556551C22semidirect
188. C2×#14556549C22semidirect
189. C2×#14556548C22semidirect
190. C2×#14556547C22semidirect
191. C2×#14556547C22semidirect
192. C22×C4⋊Dic73C22semidirect
193. C22×#11924007C22semidirect
194. C2×C4⋊C4×D73C22semidirect
198. C22×#11924005C22semidirect
199. C22×#11924005C22semidirect
200. C2×C22⋊C4×D73C22semidirect
201. C2×C22⋊C4×D73C22semidirect
202. C22×C4×Dic73C22semidirect
203. C22×#41×C73C22semidirect
204. C22×#41×C73C22semidirect
205. #547×C73C22semidirect
206. C2×C4⋊Q8×C73C22semidirect
207. C2×#123×C73C22semidirect
208. C2×#123×C73C22semidirect
209. C2×#123×C73C22semidirect
210. C2×#123×C73C22semidirect
211. C2×C22⋊Q8×C73C22semidirect
212. C2×C22⋊Q8×C73C22semidirect
214. C2×#121×C73C22semidirect
215. C2×C4×D4×C73C22semidirect
216. C2×C4×D4×C73C22semidirect
217. C22×C4⋊C4×C73C22semidirect
218. C22×C4⋊C4×C73C22semidirect
224. C2×#11924028C23semidirect
225. C2×#11924028C23semidirect
268. #14556590C23semidirect
269. #14556589C23semidirect
270. #14556587C23semidirect
271. #14556586C23semidirect
272. #14556586C23semidirect
273. #14556586C23semidirect
274. #14556586C23semidirect
275. #14556586C23semidirect
276. #14556586C23semidirect
277. #14556586C23semidirect
278. #14556586C23semidirect
279. #14556586C23semidirect
280. #14556586C23semidirect
281. #14556586C23semidirect
282. #14556586C23semidirect
283. #14556585C23semidirect
284. #14556585C23semidirect
285. #14556584C23semidirect
286. #14556584C23semidirect
287. #14556584C23semidirect
288. #14556584C23semidirect
289. #14556582C23semidirect
290. #14556581C23semidirect
291. #14556581C23semidirect
292. #14556581C23semidirect
293. #14556581C23semidirect
296. #14556580C23semidirect
297. #14556579C23semidirect
298. #14556578C23semidirect
301. #14556577C23semidirect
302. #14556577C23semidirect
307. #14556576C23semidirect
308. #14556576C23semidirect
309. #14556576C23semidirect
310. #14556576C23semidirect
311. #14556575C23semidirect
314. #14556574C23semidirect
315. #14556574C23semidirect
316. #14556574C23semidirect
317. #14556574C23semidirect
320. #14556573C23semidirect
321. #14556573C23semidirect
322. #14556572C23semidirect
323. #14556571C23semidirect
324. #14556570C23semidirect
325. #14556570C23semidirect
326. #14556569C23semidirect
327. #14556569C23semidirect
328. #14556569C23semidirect
329. #14556569C23semidirect
330. #14556568C23semidirect
331. #14556568C23semidirect
332. #14556567C23semidirect
333. #14556567C23semidirect
334. #14556567C23semidirect
335. #14556567C23semidirect
338. #14556566C23semidirect
342. #14556565C23semidirect
343. #14556565C23semidirect
344. #14556565C23semidirect
347. #14556564C23semidirect
348. #14556564C23semidirect
353. #14556563C23semidirect
354. #14556563C23semidirect
355. #14556563C23semidirect
356. #14556563C23semidirect
357. #14556563C23semidirect
358. #14556563C23semidirect
359. #14556562C23semidirect
360. #14556562C23semidirect
364. #14556561C23semidirect
365. #14556561C23semidirect
369. #14556559C23semidirect
370. #14556559C23semidirect
371. #14556556C23semidirect
372. D4×Dic73C23semidirect
373. D4×Dic73C23semidirect
374. #14556553C23semidirect
375. #14556553C23semidirect
376. #14556553C23semidirect
377. C4×C22⋊D73C23semidirect
378. C4×C22⋊D73C23semidirect
379. C4×C22⋊D73C23semidirect
380. C4×C22⋊D73C23semidirect
381. C4×C22⋊D73C23semidirect
382. C4×C22⋊D73C23semidirect
383. C4×C22⋊D73C23semidirect
384. C4×C22⋊D73C23semidirect
385. #14556551C23semidirect
386. #14556551C23semidirect
387. #14556551C23semidirect
388. #14556551C23semidirect
389. #14556549C23semidirect
390. #14556548C23semidirect
391. #14556547C23semidirect
392. #14556547C23semidirect
401. C2×C4⋊Dic73C23semidirect
422. C2×#11924007C23semidirect
423. C4⋊C4×D73C23semidirect
469. C2×#11924005C23semidirect
470. C2×#11924005C23semidirect
471. C22⋊C4×D73C23semidirect
472. C22⋊C4×D73C23semidirect
482. C2×C4×Dic73C23semidirect
485. C2×#41×C73C23semidirect
486. C2×#41×C73C23semidirect
503. C4⋊Q8×C73C23semidirect
504. #123×C73C23semidirect
505. #123×C73C23semidirect
506. #123×C73C23semidirect
507. #123×C73C23semidirect
508. C22⋊Q8×C73C23semidirect
509. C22⋊Q8×C73C23semidirect
511. #121×C73C23semidirect
512. C4×D4×C73C23semidirect
513. C4×D4×C73C23semidirect
524. C2×C4⋊C4×C73C23semidirect
525. C2×C4⋊C4×C73C23semidirect
1007. C2×C73#3560semidirect
1028. C2×#547D73semidirect
1048. C73C2×#3560semidirect
1051. C22×#41C2×D73semidirect
1052. C22×#41C2×D73semidirect
1066. #547C2×D73semidirect
1086. C2×C4⋊Q8C2×D73semidirect
1142. C2×#123C2×D73semidirect
1143. C2×#123C2×D73semidirect
1144. C2×#123C2×D73semidirect
1145. C2×#123C2×D73semidirect
1159. C2×C22⋊Q8C2×D73semidirect
1160. C2×C22⋊Q8C2×D73semidirect
1187. C2×#121C2×D73semidirect
1216. C2×C4×D4C2×D73semidirect
1217. C2×C4×D4C2×D73semidirect
1225. C22×C4⋊C4C2×D73semidirect
1226. C22×C4⋊C4C2×D73semidirect
1244. C2×#41C22×D73semidirect
1245. C2×#41C22×D73semidirect
1306. C4⋊Q8C22×D73semidirect
1360. #123C22×D73semidirect
1361. #123C22×D73semidirect
1362. #123C22×D73semidirect
1363. #123C22×D73semidirect
1377. C22⋊Q8C22×D73semidirect
1378. C22⋊Q8C22×D73semidirect
1405. #121C22×D73semidirect
1434. C4×D4C22×D73semidirect
1435. C4×D4C22×D73semidirect
1481. C2×C4⋊C4C22×D73semidirect
1482. C2×C4⋊C4C22×D73semidirect
2027. C2#22624479direct (N × H)

Maximal subgroups

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

subgroupindex
#226244792
C2×#179893382
C2×#179893362
C2×#179893272
C2×#179893252
C2×#179892862
C2×#179892852
C2×#179892822
C2×#179892802
C2×#179892662
C2×#179892642
C2×#179892382
C2×#179892292
C2×#179892252
C2×#179892112
C2×#179892052
C2×#179891842
C2×#179891832
C2×#179891812
C2×#179891772
C2×#179891732
C2×#179891702
C2×#179891692
C2×#179891652
C2×#179891452
C2×#179891332
C2×#179891142
C22×#145565862
C2×#547×C732
C2×#356073