Finite Group Databasebeta

← #33981634

Subgroups — #33981634

Order 18688.

1804 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623902C211yesmaximal, characteristic, complemented
2#22623536C211yesmaximal, characteristic, complemented
3#22622801C211yesmaximal, characteristic, complemented
4#22622798C211yesmaximal, characteristic, complemented
5#22622624C211yesmaximal, characteristic, complemented
6#22622586C211yesmaximal, characteristic, complemented
7#22622328C211yesmaximal, characteristic, complemented
8#22622327C211yesmaximal, characteristic, complemented
9#22622318C211yesmaximal, characteristic, complemented
10#22622312C211yesmaximal, characteristic, complemented
11#22622303C211yesmaximal, characteristic, complemented
12#22622283C211yesmaximal, characteristic, complemented
13#22621774C211yesmaximal, characteristic, complemented
14#22621767C211yesmaximal, characteristic, complemented
15#22621766C211yesmaximal, characteristic, complemented
16#22621751C211yesmaximal, characteristic, complemented
17#22621737C211yesmaximal, characteristic, complemented
18#22621280C211yesmaximal, characteristic, complemented
19#22621279C211yesmaximal, characteristic, complemented
20#22621250C211yesmaximal, characteristic, complemented
21#22621104C211yesmaximal, characteristic, complemented
22#22621094C211yesmaximal, characteristic, complemented
23#22621065C211yesmaximal, characteristic, complemented
24#22619976C211yesmaximal, characteristic, complemented
25#22619973C211yesmaximal, characteristic, complemented
26#22619942C211yesmaximal, characteristic, complemented
27#22619715C211yesmaximal, characteristic, complemented
28C2×#17988889C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22619038C211yesmaximal, characteristic, complemented
31C73×#3297C211yesmaximal, characteristic, complemented
32#17989319C2211yescharacteristic
33#17989314C2211yescharacteristic, complemented
34#17989296C2211yescharacteristic
35#17989296C2211yescharacteristic, complemented
36#17989295C2211yescharacteristic
37#17989292C2211yescharacteristic
38#17989284C2211yescharacteristic
39#17989284C2211yescharacteristic, complemented
40#17989283C2211yescharacteristic
41#17989280—21no—
42#17989277—21no—
43#17989277C2211yescharacteristic, complemented
44#17989276C2211yescharacteristic, complemented
45#17989274—21no—
46#17989273—21no—
47#17989263—21no—
48#17989260—21no—
49#17989237—21no—
50#17989237C2211yescharacteristic
51#17989225C2211yescharacteristic
52#17989224—21no—
53D4×C22⋊D73C2211yescharacteristic
54#17989194—21no—
55#17989182—21no—
56#17989180—21no—
57#17989140C2211yescharacteristic, complemented
58#17989132C2211yescharacteristic
59#17989123C2211yescharacteristic
60#17989119C2211yescharacteristic, complemented
61#17989118C2211yescharacteristic, complemented
62#17989118C2211yescharacteristic, complemented
63#17989116C2211yescharacteristic
64#17989114—21no—
65C2×#14556582C2211yescharacteristic, complemented
66#125×D73C2211yescharacteristic, complemented
67#17989097—21no—
68#17989093—21no—
69#17989066—21no—
70#41×Dic73C2211yescharacteristic
71C4×#11924027C2211yescharacteristic
72C2×D4×Dic73C2211yescharacteristic
73C2×#14556551—21no—
74C4×D4×D73C2211yescharacteristic
75#17988991C2211yescharacteristic, complemented
76#17988989C2211yescharacteristic, complemented
77#17988988C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988943C2211yescharacteristic, complemented
82#17988943C2211yescharacteristic, complemented
83#17988941C2211yescharacteristic, complemented
84#17988932C2211yescharacteristic
85#17988932C2211yescharacteristic
86#17988929C2211yescharacteristic, complemented
87#17988924C2211yescharacteristic, complemented
88#17988923C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988905C2211yescharacteristic
97#17988904C2211yescharacteristic
98#17988904C2211yescharacteristic, complemented
99#17988903C2211yescharacteristic, complemented
100#17988901C2211yescharacteristic
101#17988899C2211yescharacteristic
102#17988897C2211yescharacteristic, complemented
103#17988896C2211yescharacteristic, complemented
104#17988896C2211yescharacteristic, complemented
105#17988895C2211yescharacteristic, complemented
106#17988892C2211yescharacteristic, complemented
107#17988890C2211yescharacteristic, complemented
108#17988890C2211yescharacteristic, complemented
109#17988889C2211yescharacteristic
110#17988889C2211yescharacteristic
111#17988889C2211yescharacteristic
112#17988889C2211yescharacteristic
113#17988889C2211yescharacteristic, complemented
114#17988889C2211yescharacteristic, complemented
115#17988889C2211yescharacteristic, complemented
116#17988889C2211yescharacteristic, complemented
117#17988889C2211yescharacteristic, complemented
118#17988888C2211yescharacteristic, complemented
119#17988887C2211yescharacteristic
120#17988887C2211yescharacteristic, complemented
121#17988886C2211yescharacteristic, complemented
122#17988885C2211yescharacteristic
123#17988885C2211yescharacteristic, complemented
124#17988884C2211yescharacteristic, complemented
125#17988881C2211yescharacteristic, complemented
126#17988880C2211yescharacteristic, complemented
127#17988875C2211yescharacteristic
128#17988875C2211yescharacteristic, complemented
129#17988870C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic
131#17988827C2211yescharacteristic, complemented
132#17988826C2211yescharacteristic, complemented
133#17988821C2211yescharacteristic
134#17988821C2211yescharacteristic, complemented
135#17988820C2211yescharacteristic
136#17988816C2211yescharacteristic
137#17988816C2211yescharacteristic, complemented
138#17988815C2211yescharacteristic
139#17988814C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988812C2211yescharacteristic, complemented
142#17988807C2211yescharacteristic, complemented
143#17988806C2211yescharacteristic, complemented
144#17988804C2211yescharacteristic, complemented
145#17988801C2211yescharacteristic, complemented
146#17988800C2211yescharacteristic
147#17988800C2211yescharacteristic, complemented
148#17988786C2211yescharacteristic
149#17988780C2211yescharacteristic
150#17988749C2211yescharacteristic
151#17988739C2211yescharacteristic
152#17988738C2211yescharacteristic
153#17988719C2211yescharacteristic
154C8×Dic146C2211yescharacteristic, complemented
155#17988711C2211yescharacteristic, complemented
156#17988679C2211yescharacteristic, complemented
157#17988678C2211yescharacteristic
158#17988678C2211yescharacteristic
159#17988678C2211yescharacteristic, complemented
160C4×#11924017C2211yescharacteristic, complemented
161SD16×Dic73C2211yescharacteristic, complemented
162C4×#11924016C2211yescharacteristic
163D8×Dic73C2211yescharacteristic
164D8×Dic73C2211yescharacteristic
165D8×Dic73C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic, complemented
167D4×#10596831C2211yescharacteristic, complemented
168C8×C22⋊D73C2211yescharacteristic
169C8×C22⋊D73C2211yescharacteristic, complemented
170#17988650C2211yescharacteristic
171#17988650C2211yescharacteristic, complemented
172#17988638C2211yescharacteristic, complemented
173#17988637C2211yescharacteristic, complemented
174#17988637C2211yescharacteristic, complemented
175#17988625C2211yescharacteristic, complemented
176#17988623C2211yescharacteristic, complemented
177C2×#14556524C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179C2×#14556523C2211yescharacteristic, complemented
180#106×D73C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988583C2211yescharacteristic
185C2×#14556512C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#553×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#466×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic
199C4×D8×C73C2211yescharacteristic
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027—21no—
204C2×#11924027—21no—
205C2×#11924027D411yescharacteristic
206C22×C22⋊D73—21no—
207C2×D4×D73C2311yescharacteristic
208C23×Dic73—21no—
209C22×C4×D73—21no—
210C2×#11924018C2311yescharacteristic
211C2×#11924017C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924016C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C22×#10596831C2311yescharacteristic
216C22×#10596831C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219#14556590—21no—
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556587C2311yescharacteristic
224#14556586—21no—
225#14556586—21no—
226#14556584—21no—
227#14556584—21no—
228#14556584—21no—
229#14556584—21no—
230#14556584—21no—
231#14556584—21no—
232#14556584—21no—
233#14556584—21no—
234#14556583—21no—
235#14556583C2311yescharacteristic
236#14556583C2311yescharacteristic
237#14556582—21no—
238#14556582—21no—
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556580C2311yescharacteristic
253#14556578C2311yescharacteristic
254#14556577—21no—
255#14556577—21no—
256#14556575—21no—
257#14556575—21no—
258#14556574—21no—
259#14556573—21no—
260#14556573—21no—
261#14556573—21no—
262#14556573—21no—
263#14556573—21no—
264#14556573—21no—
265#14556572—21no—
266#14556572—21no—
267#14556572—21no—
268#14556572—21no—
269#14556572—21no—
270#14556572—21no—
271#14556571—21no—
272#14556571C2311yescharacteristic
273#14556570—21no—
274#14556570—21no—
275#14556570—21no—
276#14556570C2311yescharacteristic
277#14556570C2311yescharacteristic
278#14556569—21no—
279#14556568—21no—
280#14556568—21no—
281#14556568—21no—
282#14556568—21no—
283#14556568—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556567C2311yescharacteristic
288#14556565C2311yescharacteristic
289#14556565C2311yescharacteristic
290#14556563—21no—
291#14556563—21no—
292#14556563—21no—
293#14556563—21no—
294#14556562—21no—
295#14556562—21no—
296#14556562C2311yescharacteristic
297#14556562C2311yescharacteristic
298#14556560—21no—
299#14556559—21no—
300#14556559—21no—
301Q8×Dic73C2311yescharacteristic
302Q8×Dic73C2311yescharacteristic
303C4×Dic146—21no—
304C4×Dic146—21no—
305C4×Dic146C2311yescharacteristic
306C4×Dic146C2311yescharacteristic
307#14556556—21no—
308#14556556D411yescharacteristic
309#14556556C2311yescharacteristic
310#14556556C2311yescharacteristic
311C4×D292C2311yescharacteristic
312D4×Dic73—21no—
313D4×Dic73—21no—
314D4×Dic73—21no—
315D4×Dic73—21no—
316D4×Dic73—21no—
317D4×Dic73—21no—
318D4×Dic73D411yescharacteristic
319D4×Dic73C2311yescharacteristic
320D4×Dic73C2311yescharacteristic
321D4×Dic73C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326#14556553C2311yescharacteristic
327C4×C22⋊D73—21no—
328C4×C22⋊D73—21no—
329C4×C22⋊D73—21no—
330C4×C22⋊D73C2311yescharacteristic
331C4×C22⋊D73C2311yescharacteristic
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551—21no—
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551D411yescharacteristic
342#14556551D411yescharacteristic
343#14556550—21no—
344#14556550—21no—
345#14556550C2311yescharacteristic
346#14556550C2311yescharacteristic
347#14556549—21no—
348#14556549D411yescharacteristic
349#14556548—21no—
350#14556547—21no—
351#14556547—21no—
352#14556547—21no—
353#14556547—21no—
354#14556547D411yescharacteristic
355#14556547D411yescharacteristic
356C2×C4⋊Dic73—21no—
357C2×C4⋊Dic73C2311yescharacteristic
358C2×C4⋊Dic73C2311yescharacteristic
359C2×#11924007—21no—
360C2×#11924007—21no—
361C2×#11924007—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C2×C22⋊Dic73—21no—
368C2×#11924005—21no—
369C22⋊C4×D73—21no—
370C2×C4×Dic73—21no—
371C2×C4×Dic73C2311yescharacteristic
372C2×C4×Dic73C2311yescharacteristic
373C42×D73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430C4×#10596831C2311yescharacteristic
431C8×Dic73C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73C2311yescharacteristic
436C22×D4×C73C2311yescharacteristic
437C2×SD16×C73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C22×C8×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73C2311yescharacteristic
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446#123×C73—21no—
447C22⋊Q8×C73C2311yescharacteristic
448#121×C73—21no—
449#121×C73—21no—
450#121×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#120×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C22⋊C4×C73—21no—
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924027—24no—
480#11924027—44no—
481#11924027—82no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146C2×D411yescharacteristic
486C2×Dic146C2411yescharacteristic
487C2×D292C2411yescharacteristic
488C2×C22⋊D73—21no—
489C2×C22⋊D73—21no—
490C2×C22⋊D73—21no—
491C2×C22⋊D73—21no—
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—44no—
496C2×C22⋊D73C2×D411yescharacteristic
497C2×C22⋊D73C2×D411yescharacteristic
498D4×D73—22no—
499D4×D73—41no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—82no—
510C22×Dic73C2×D411yescharacteristic
511C22×Dic73C2×D411yescharacteristic
512C22×Dic73C2×D411yescharacteristic
513C22×Dic73C2×D411yescharacteristic
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—82no—
520C2×C4×D73C2×D411yescharacteristic
521C2×C4×D73C2×D411yescharacteristic
522C2×C4×D73C2411yescharacteristic
523#11924018—41no—
524#11924017—41no—
525#11924016—22no—
526#11924016—41no—
527#11924013—41no—
528C2×#10596831—41no—
529C2×#10596831—41no—
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C8×D73—41no—
535C8×D73—41no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73C2×D411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73C2×D411yescharacteristic
596C22⋊Dic73C2×D411yescharacteristic
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73C2×D411yescharacteristic
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2×D411yescharacteristic
618C4×Dic73C2×D411yescharacteristic
619C4×Dic73C2×D411yescharacteristic
620C4×Dic73C2411yescharacteristic
621C4×Dic73C2411yescharacteristic
622C4×Dic73C2411yescharacteristic
623C24×C73—21no—
624#41×C73—22no—
625#41×C73—41no—
626C2×Q8×C73C2411yescharacteristic
627C2×D4×C73—22no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73—41no—
634C2×D4×C73C2×D411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C2×D4×C73C2411yescharacteristic
637C2×D4×C73C2411yescharacteristic
638C22×C4×C73—21no—
639C22×C4×C73—21no—
640C22×C4×C73—21no—
641C22×C4×C73—21no—
642C22×C4×C73C2411yescharacteristic
643C22×C4×C73C2411yescharacteristic
644SD16×C73—41no—
645D8×C73—22no—
646D8×C73—41no—
647C2×C8×C73—41no—
648C2×C8×C73—41no—
649C2×C8×C73C2411yescharacteristic
650C2×C8×C73C2411yescharacteristic
651C2×C8×C73C2411yescharacteristic
652C2×C8×C73C2411yescharacteristic
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73C2×D411yescharacteristic
672C22⋊C4×C73C2×D411yescharacteristic
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—21no—
678C23×C73—42no—
679C23×C73—42no—
680C23×C73—81no—
681C23×C73C22×D411yescharacteristic
682C23×C73C22×D411yescharacteristic
683C22×D73—21no—
684C22×D73—42no—
685C22×D73—42no—
686C22×D73—81no—
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690D4×C73—22no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—21no—
694D4×C73—21no—
695D4×C73—21no—
696D4×C73—42no—
697D4×C73—42no—
698D4×C73—42no—
699D4×C73—81no—
700D4×C73—81no—
701D4×C732−1+412yes—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—42no—
712C2×C4×C73—81no—
713C2×C4×C73—81no—
714C2×C4×C73—81no—
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C22×D411yescharacteristic
718C2×C4×C73C22×D411yescharacteristic
719C2×C4×C73C2511yescharacteristic
720C22⋊D73—22no—
721C22⋊D73—42no—
722C22⋊D73—42no—
723C22⋊D73—42no—
724C22⋊D73—42no—
725C22⋊D73—42no—
726C22⋊D73—81no—
727C22⋊D73—81no—
728C22⋊D73#13514yes—
729C2×Dic73—22no—
730C2×Dic73—22no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—41no—
739C2×Dic73—41no—
740C2×Dic73—42no—
741C2×Dic73—42no—
742C2×Dic73—42no—
743C2×Dic73—42no—
744C2×Dic73—42no—
745C2×Dic73—81no—
746C2×Dic73—81no—
747C2×Dic73—81no—
748C2×Dic73—81no—
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756D292—21no—
757D292—21no—
758C4×D73—22no—
759C4×D73—21no—
760C4×D73—21no—
761C4×D73—41no—
762C4×D73—42no—
763C4×D73—42no—
764C4×D73—81no—
765C4×D73—81no—
766C4×D73—81no—
767Dic146—22no—
768Dic146—21no—
769Dic146—21no—
770Dic146—42no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—22no—
785C22×C73—21no—
786C22×C73—21no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—41no—
794C22×C73—41no—
795C22×C73—84no—
796C22×C73C2×#13512yes—
797C22×C73C23×D411yescharacteristic
798C2×D73—21no—
799C2×D73—21no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—84no—
804C2×D73C2×#13512yes—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73C2×2−1+411yescharacteristic
815C4×C73#58511yescharacteristic
816Dic73—21no—
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—41no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73C2×#13512yes—
830#62103—731nomaximal, Sylow
831C2×C73—22no—
832C2×C73—42no—
833C2×C73—41no—
834C2×C73—81no—
835C2×C73—81no—
836C2×C73#348911yescharacteristic
837C2×C73C22×#13511yescharacteristic
838C2×C73#358511yescharacteristic
839D73—22no—
840D73—81no—
841#3515—731no—
842#3481—731no—
843#3381—731no—
844#3380—731no—
845#3365—731no—
846#3361—731no—
847#3339—731no—
848#3339—731no—
849#3338—731no—
850#3337—731no—
851#3337—731no—
852#3335—731no—
853#3297—731no—
854#3297D7311yescharacteristic, complemented
855#3296—731no—
856#3296—731no—
857#3295—731no—
858#3294—731no—
859#3250—731no—
860#3250—731no—
861#3247—731no—
862#3232—731no—
863#3232—731no—
864#3228—731no—
865#3105—731no—
866#3105—731no—
867#3102—731no—
868#3076—731no—
869C2×#478—731no—
870C2×#478—731no—
871#2988—731no—
872C73#6210311yescharacteristic, complemented, Sylow
873#559—731no—
874#557—731no—
875#554—731no—
876#554—731no—
877#554—731no—
878#554—731no—
879#553—731no—
880#553—731no—
881#553—731no—
882#553—1461no—
883#553C2×D7311yescharacteristic, complemented
884#552—731no—
885#552—731no—
886#552—1461no—
887#552—1461no—
888#552—1461no—
889#551—1461no—
890#551—1461no—
891#547—731no—
892#547—1461no—
893#546—731no—
894#546—1461no—
895#546C2×D7311yescharacteristic
896D42—731no—
897#541—1461no—
898#539—1461no—
899#539—1461no—
900#533—731no—
901#532—731no—
902#529—731no—
903#529—731no—
904#529—731no—
905#529—731no—
906#529—731no—
907#529—1461no—
908C2×#125—731no—
909C2×#125—731no—
910#525—1461no—
911#525—1461no—
912#520—1461no—
913C4×#41—731no—
914C4×#41—731no—
915C2×C4×D4—731no—
916C2×C4×D4—731no—
917C2×C4×D4—1461no—
918#500—731no—
919#499—731no—
920#499—731no—
921#499—731no—
922#499—731no—
923#498—731no—
924#488—731no—
925#488—731no—
926#488—731no—
927#488C2×D7311yescharacteristic, complemented
928#486—731no—
929#486—731no—
930#485—731no—
931#484—731no—
932#484—731no—
933#484—731no—
934#484C2×D7311yescharacteristic, complemented
935#483—731no—
936#483—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#482C2×D7311yescharacteristic, complemented
942#481—731no—
943#481—731no—
944#481—731no—
945#481—731no—
946#480—731no—
947#480—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#479—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478—731no—
968#478—731no—
969#478—731no—
970#478—731no—
971#478C2×D7311yescharacteristic
972#477—731no—
973#477—731no—
974#476—731no—
975#476—731no—
976#475—731no—
977#474—731no—
978#467—731no—
979#467—731no—
980#466—731no—
981#466—731no—
982#466—731no—
983#466C2×D7311yescharacteristic, complemented
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465C2×D7311yescharacteristic, complemented
990#464—731no—
991#464—731no—
992#464—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463C2×D7311yescharacteristic, complemented
998#460—731no—
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449C2×D7311yescharacteristic
1004#447—731no—
1005#447C2×D7311yescharacteristic
1006C8×Q8—731no—
1007C8×Q8—731no—
1008C4×Q16—731no—
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×SD16—731no—
1012C4×SD16—731no—
1013C4×SD16—731no—
1014C4×SD16—731no—
1015C4×D8—731no—
1016C4×D8—731no—
1017C4×D8—731no—
1018C4×D8—731no—
1019C4×D8C2×D7311yescharacteristic
1020C8×D4—731no—
1021C8×D4—731no—
1022C8×D4—731no—
1023C8×D4—731no—
1024C8×D4—731no—
1025C8×D4C2×D7311yescharacteristic, complemented
1026#431—731no—
1027#431—731no—
1028#431—731no—
1029#427—731no—
1030#427—731no—
1031C2×#107—731no—
1032C2×#107—731no—
1033C2×#106—731no—
1034C2×#106—731no—
1035C2×C4⋊C8—731no—
1036C2×C4⋊C8—731no—
1037C2×C4⋊C8—731no—
1038#416—731no—
1039#416C2×D7311yescharacteristic
1040C2×#102—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102C2×D7311yescharacteristic
1044C2×#41—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C2×#41C22×D7311yescharacteristic
1048C22×D4—731no—
1049C22×D4—1461no—
1050C22×D4C22×D7311yescharacteristic
1051C23×C4—1461no—
1052C23×C4—1461no—
1053C2×Q16—731no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16C22×D7311yescharacteristic
1058C2×D8—731no—
1059C2×D8C22×D7311yescharacteristic
1060C2×D8C22×D7311yescharacteristic
1061C22×C8—731no—
1062C22×C8—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8C22×D7311yescharacteristic
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—1461no—
1071#127—731no—
1072#126—21no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—731no—
1090#125—731no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#125—1461no—
1096#125—1461no—
1097#125—1461no—
1098#125—1461no—
1099#125—1461no—
1100#125—1461no—
1101#125C22×D7311yescharacteristic
1102#124—731no—
1103#124—731no—
1104#124—1461no—
1105#124—1461no—
1106#124C22×D7311yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—1461no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124C22⋊Q8—731no—
1125C22⋊Q8—731no—
1126C22⋊Q8—731no—
1127C22⋊Q8—731no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8C22×D7311yescharacteristic
1142#121—21no—
1143#121—21no—
1144#121—731no—
1145#121—731no—
1146#121—731no—
1147#121—731no—
1148#121—1461no—
1149#121—1461no—
1150#121—1461no—
1151#121—1461no—
1152#121—1461no—
1153#121—1461no—
1154#121C22×D7311yescharacteristic
1155#121C22×D7311yescharacteristic
1156#121C22×D7311yescharacteristic
1157#120—21no—
1158#120—1461no—
1159#120—1461no—
1160#120—1461no—
1161C4×Q8—731no—
1162C4×Q8—731no—
1163C4×Q8—731no—
1164C4×Q8—731no—
1165C4×Q8—731no—
1166C4×Q8—731no—
1167C4×Q8—731no—
1168C4×Q8—1461no—
1169C4×Q8—1461no—
1170C4×Q8—1461no—
1171C4×D4—21no—
1172C4×D4—731no—
1173C4×D4—731no—
1174C4×D4—731no—
1175C4×D4—731no—
1176C4×D4—731no—
1177C4×D4—731no—
1178C4×D4—731no—
1179C4×D4—731no—
1180C4×D4—731no—
1181C4×D4—731no—
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—1461no—
1187C4×D4—1461no—
1188C4×D4—1461no—
1189C4×D4—1461no—
1190C4×D4—1461no—
1191C4×D4—1461no—
1192C4×D4—1461no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—1461no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117C22×D7311yescharacteristic
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—731no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4—1461no—
1228C2×C4⋊C4—1461no—
1229C2×C4⋊C4—1461no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4C22×D7311yescharacteristic
1233C2×C22⋊C4—21no—
1234C2×C22⋊C4—1461no—
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C42—731no—
1238C2×C42—731no—
1239C2×C42—731no—
1240C2×C42—1461no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#107—731no—
1250#107—731no—
1251#107C22×D7311yescharacteristic
1252#107C22×D7311yescharacteristic
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106—731no—
1264#106C22×D7311yescharacteristic
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102C22×D7311yescharacteristic
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313C4×C8—731no—
1314C4×C8—731no—
1315C4×C8—731no—
1316C4×C8—731no—
1317C4×C8—731no—
1318C4×C8C22×D7311yescharacteristic
1319C24—21no—
1320C24—1461no—
1321#41—22no—
1322#41—41no—
1323#41—2924no—
1324#41—5842no—
1325#41—1464no—
1326C2×Q8—731no—
1327C2×Q8—731no—
1328C2×Q8—1461no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8C23×D7311yescharacteristic
1332C2×D4—22no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—41no—
1339C2×D4—2924no—
1340C2×D4—2921no—
1341C2×D4—731no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1462no—
1351C2×D4—1461no—
1352C2×D4D4×D7311yescharacteristic
1353C2×D4C23×D7311yescharacteristic
1354C2×D4C23×D7311yescharacteristic
1355C2×D4C23×D7311yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—5842no—
1361C22×C4—5842no—
1362C22×C4—731no—
1363C22×C4—731no—
1364C22×C4—731no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4C23×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385Q16—2921no—
1386SD16—41no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—22no—
1391D8—41no—
1392D8—2921no—
1393C2×C8—41no—
1394C2×C8—41no—
1395C2×C8—2921no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4D4×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4D4×D7311yescharacteristic
1497C22⋊C4D4×D7311yescharacteristic
1498C42—21no—
1499C42—731no—
1500C42—731no—
1501C42—731no—
1502C42—731no—
1503C42—731no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—42no—
1520C23—42no—
1521C23—81no—
1522C23—2922no—
1523C23—2922no—
1524C23—5841no—
1525C23—731no—
1526C23—1461no—
1527C23C2×D4×D7311yescharacteristic
1528C23C2×D4×D7311yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—2922no—
1532Q8—5841no—
1533Q8—5841no—
1534Q8—1462no—
1535Q8—1461no—
1536Q8—1461no—
1537D4—22no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—42no—
1544D4—42no—
1545D4—42no—
1546D4—81no—
1547D4—81no—
1548D4—2922no—
1549D4—2922no—
1550D4—2922no—
1551D4—2922no—
1552D4—2922no—
1553D4—5841no—
1554D4—5841no—
1555D4—734no—
1556D4—1462no—
1557D4—1461no—
1558D4—1461no—
1559D4#1455663812yes—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—42no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—2921no—
1574C2×C4—2922no—
1575C2×C4—2922no—
1576C2×C4—2922no—
1577C2×C4—2922no—
1578C2×C4—2922no—
1579C2×C4—2922no—
1580C2×C4—2922no—
1581C2×C4—2921no—
1582C2×C4—2921no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—731no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—1462no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1462no—
1606C2×C4—1462no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—22no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—84no—
1637C22—2921no—
1638C22—2921no—
1639C22—2921no—
1640C22—5844no—
1641C22—732no—
1642C22—1461no—
1643C22—1461no—
1644C22#135×D7312yes—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—2921no—
1656C4—2921no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—732no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4C2×#1455663811yescharacteristic
1670C4#1798942211yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—5841no—
1677C2—1462no—
1678C2#2262360211yescharacteristic
1679C2C2×#135×D7311yescharacteristic
1680C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3297C2
socleC22×C73C23×D4
hypercenter#3297D73
hypocenterC73#62103
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #22623902C2semidirect
2. #22623536C2semidirect
3. #22622801C2semidirect
4. #22622798C2semidirect
5. #22622624C2semidirect
6. #22622586C2semidirect
7. #22622328C2semidirect
8. #22622327C2semidirect
9. #22622318C2semidirect
10. #22622312C2semidirect
11. #22622303C2semidirect
12. #22622283C2semidirect
13. #22621774C2semidirect
14. #22621767C2semidirect
15. #22621766C2semidirect
16. #22621751C2semidirect
17. #22621737C2semidirect
18. #22621280C2semidirect
19. #22621279C2semidirect
20. #22621250C2semidirect
21. #22621104C2semidirect
22. #22621094C2semidirect
23. #22621065C2semidirect
24. #22619976C2semidirect
25. #22619973C2semidirect
26. #22619942C2semidirect
27. #22619715C2semidirect
28. C2×#17988889C2semidirect
29. #478×D73C2semidirect
30. #22619038C2semidirect
31. C73×#3297C2semidirect
33. #17989314C22semidirect
35. #17989296C22semidirect
39. #17989284C22semidirect
43. #17989277C22semidirect
44. #17989276C22semidirect
57. #17989140C22semidirect
60. #17989119C22semidirect
61. #17989118C22semidirect
62. #17989118C22semidirect
65. C2×#14556582C22semidirect
66. #125×D73C22semidirect
75. #17988991C22semidirect
76. #17988989C22semidirect
77. #17988988C22semidirect
78. #17988988C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
81. #17988943C22semidirect
82. #17988943C22semidirect
83. #17988941C22semidirect
86. #17988929C22semidirect
87. #17988924C22semidirect
88. #17988923C22semidirect
89. #17988921C22semidirect
90. #17988916C22semidirect
91. #17988915C22semidirect
92. #17988912C22semidirect
93. #17988911C22semidirect
94. #17988908C22semidirect
95. #17988908C22semidirect
98. #17988904C22semidirect
99. #17988903C22semidirect
102. #17988897C22semidirect
103. #17988896C22semidirect
104. #17988896C22semidirect
105. #17988895C22semidirect
106. #17988892C22semidirect
107. #17988890C22semidirect
108. #17988890C22semidirect
113. #17988889C22semidirect
114. #17988889C22semidirect
115. #17988889C22semidirect
116. #17988889C22semidirect
117. #17988889C22semidirect
118. #17988888C22semidirect
120. #17988887C22semidirect
121. #17988886C22semidirect
123. #17988885C22semidirect
124. #17988884C22semidirect
125. #17988881C22semidirect
126. #17988880C22semidirect
128. #17988875C22semidirect
129. #17988870C22semidirect
131. #17988827C22semidirect
132. #17988826C22semidirect
134. #17988821C22semidirect
137. #17988816C22semidirect
139. #17988814C22semidirect
140. #17988813C22semidirect
141. #17988812C22semidirect
142. #17988807C22semidirect
143. #17988806C22semidirect
144. #17988804C22semidirect
145. #17988801C22semidirect
147. #17988800C22semidirect
154. C8×Dic146C22semidirect
155. #17988711C22semidirect
156. #17988679C22semidirect
159. #17988678C22semidirect
160. C4×#11924017C22semidirect
161. SD16×Dic73C22semidirect
165. D8×Dic73C22semidirect
166. C4×#11924013C22semidirect
167. D4×#10596831C22semidirect
169. C8×C22⋊D73C22semidirect
171. #17988650C22semidirect
172. #17988638C22semidirect
173. #17988637C22semidirect
174. #17988637C22semidirect
175. #17988625C22semidirect
176. #17988623C22semidirect
177. C2×#14556524C22semidirect
178. #107×D73C22semidirect
179. C2×#14556523C22semidirect
180. #106×D73C22semidirect
181. C2×#14556520C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
188. #553×C73C22semidirect
190. #488×C73C22semidirect
191. #484×C73C22semidirect
192. #482×C73C22semidirect
194. #466×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
200. C8×D4×C73C22semidirect
854. #3297D73semidirect
872. C73#62103semidirect
883. #553C2×D73semidirect
927. #488C2×D73semidirect
934. #484C2×D73semidirect
941. #482C2×D73semidirect
983. #466C2×D73semidirect
989. #465C2×D73semidirect
997. #463C2×D73semidirect
1025. C8×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239022
#226235362
#226228012
#226227982
#226226242
#226225862
#226223282
#226223272
#226223182
#226223122
#226223032
#226222832
#226217742
#226217672
#226217662
#226217512
#226217372
#226212802
#226212792
#226212502
#226211042
#226210942
#226210652
#226199762
#226199732
#226199422
#226197152
C2×#179888892
#478×D732
#226190382
C73×#32972
#6210373