Finite Group Databasebeta

← #33981559

Subgroups — #33981559

Order 18688.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623833C211yesmaximal, characteristic, complemented
2#22623482C211yesmaximal, characteristic, complemented
3#22622798C211yesmaximal, characteristic, complemented
4#22622793C211yesmaximal, characteristic, complemented
5#22622577C211yesmaximal, characteristic, complemented
6#22622575C211yesmaximal, characteristic, complemented
7#22622350C211yesmaximal, characteristic, complemented
8#22622348C211yesmaximal, characteristic, complemented
9#22622316C211yesmaximal, characteristic, complemented
10#22622312C211yesmaximal, characteristic, complemented
11#22622308C211yesmaximal, characteristic, complemented
12#22622304C211yesmaximal, characteristic, complemented
13#22621855C211yesmaximal, characteristic, complemented
14#22621852C211yesmaximal, characteristic, complemented
15#22621785C211yesmaximal, characteristic, complemented
16#22621781C211yesmaximal, characteristic, complemented
17#22621777C211yesmaximal, characteristic, complemented
18#22621254C211yesmaximal, characteristic, complemented
19#22621250C211yesmaximal, characteristic, complemented
20#22621242C211yesmaximal, characteristic, complemented
21#22621107C211yesmaximal, characteristic, complemented
22#22621105C211yesmaximal, characteristic, complemented
23#22621080C211yesmaximal, characteristic, complemented
24#22619987C211yesmaximal, characteristic, complemented
25#22619984C211yesmaximal, characteristic, complemented
26#22619926C211yesmaximal, characteristic, complemented
27#22619716C211yesmaximal, characteristic, complemented
28#22619715C211yesmaximal, characteristic, complemented
29C2×#17988875C211yesmaximal, characteristic, complemented
30#22619038C211yesmaximal, characteristic, complemented
31C73×#3297C211yesmaximal, characteristic, complemented
32#17989306C2211yescharacteristic
33#17989304—21no—
34#17989301C2211yescharacteristic
35#17989301C2211yescharacteristic, complemented
36#17989300C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic
38#17989296C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic, complemented
40#17989289C2211yescharacteristic
41#17989285C2211yescharacteristic
42#17989283C2211yescharacteristic
43#17989280—21no—
44#17989279C2211yescharacteristic
45#17989277C2211yescharacteristic
46#17989274—21no—
47#17989268—21no—
48#17989263—21no—
49#17989246—21no—
50#17989243—21no—
51#17989236C2211yescharacteristic
52#17989235—21no—
53#17989231C2211yescharacteristic
54#17989205—21no—
55#17989203—21no—
56#17989164—21no—
57#17989143C2211yescharacteristic, complemented
58#17989140C2211yescharacteristic, complemented
59#17989139C2211yescharacteristic
60#17989134C2211yescharacteristic, complemented
61#17989132C2211yescharacteristic
62#17989132C2211yescharacteristic, complemented
63C2×#14556590C2211yescharacteristic
64#17989118—21no—
65#17989118C2211yescharacteristic
66#17989116C2211yescharacteristic
67#17989114—21no—
68#17989093—21no—
69#17989066—21no—
70#41×Dic73C2211yescharacteristic
71C4×#11924027C2211yescharacteristic
72C4×#11924027C2211yescharacteristic
73C2×D4×Dic73C2211yescharacteristic
74C2×#14556547—21no—
75#17988991C2211yescharacteristic, complemented
76#17988991C2211yescharacteristic, complemented
77#17988989C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988941C2211yescharacteristic
82#17988940C2211yescharacteristic
83#17988940C2211yescharacteristic
84#17988936C2211yescharacteristic, complemented
85#17988936C2211yescharacteristic, complemented
86#17988929C2211yescharacteristic, complemented
87#17988928C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic
91#17988922C2211yescharacteristic
92#17988920C2211yescharacteristic
93#17988914C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic
96#17988910C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic
98#17988908C2211yescharacteristic
99#17988908C2211yescharacteristic, complemented
100#17988901C2211yescharacteristic
101#17988898C2211yescharacteristic
102#17988896C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988892C2211yescharacteristic, complemented
105#17988891C2211yescharacteristic, complemented
106#17988890C2211yescharacteristic, complemented
107#17988889C2211yescharacteristic
108#17988889C2211yescharacteristic, complemented
109#17988888C2211yescharacteristic, complemented
110#17988887C2211yescharacteristic
111#17988887C2211yescharacteristic, complemented
112#17988885C2211yescharacteristic
113#17988881C2211yescharacteristic, complemented
114#17988881C2211yescharacteristic, complemented
115#17988880C2211yescharacteristic, complemented
116#17988880C2211yescharacteristic, complemented
117#17988876C2211yescharacteristic, complemented
118#17988875C2211yescharacteristic
119#17988875C2211yescharacteristic
120#17988875C2211yescharacteristic
121#17988875C2211yescharacteristic
122#17988875C2211yescharacteristic
123#17988875C2211yescharacteristic
124#17988875C2211yescharacteristic
125#17988875C2211yescharacteristic
126#17988875C2211yescharacteristic, complemented
127#17988871C2211yescharacteristic, complemented
128#17988870C2211yescharacteristic, complemented
129#17988865C2211yescharacteristic
130#17988865C2211yescharacteristic
131#17988822C2211yescharacteristic
132#17988821C2211yescharacteristic
133#17988820C2211yescharacteristic
134#17988819C2211yescharacteristic, complemented
135#17988818C2211yescharacteristic
136#17988816C2211yescharacteristic
137#17988816C2211yescharacteristic, complemented
138#17988814C2211yescharacteristic
139#17988814C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988801C2211yescharacteristic
142#17988800C2211yescharacteristic
143#17988799C2211yescharacteristic
144#17988791C2211yescharacteristic, complemented
145#17988790C2211yescharacteristic, complemented
146#17988786C2211yescharacteristic, complemented
147#17988785C2211yescharacteristic, complemented
148#17988780C2211yescharacteristic
149#17988780C2211yescharacteristic
150#17988733C2211yescharacteristic
151#17988732C2211yescharacteristic
152#17988729C2211yescharacteristic
153#17988721C2211yescharacteristic
154C8×Dic146C2211yescharacteristic, complemented
155#17988711C2211yescharacteristic, complemented
156C4×#11924017C2211yescharacteristic, complemented
157SD16×Dic73C2211yescharacteristic, complemented
158C4×#11924016C2211yescharacteristic, complemented
159#17988672C2211yescharacteristic, complemented
160D8×Dic73C2211yescharacteristic
161D8×Dic73C2211yescharacteristic
162D8×Dic73C2211yescharacteristic
163C4×#11924013C2211yescharacteristic
164#17988667C2211yescharacteristic
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic
167D4×#10596831C2211yescharacteristic
168C8×C22⋊D73C2211yescharacteristic
169C8×C22⋊D73C2211yescharacteristic, complemented
170#17988650C2211yescharacteristic
171#17988650C2211yescharacteristic, complemented
172#17988638C2211yescharacteristic, complemented
173#17988637C2211yescharacteristic
174#17988637C2211yescharacteristic, complemented
175#17988625C2211yescharacteristic, complemented
176#17988624C2211yescharacteristic, complemented
177#17988623C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179C2×#14556523C2211yescharacteristic
180C2×#14556522C2211yescharacteristic
181C2×#14556520C2211yescharacteristic
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988583C2211yescharacteristic
185#17988580C2211yescharacteristic
186#17988580C2211yescharacteristic
187C2×#14556512C2211yescharacteristic
188#553×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic
191#484×C73C2211yescharacteristic
192#482×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic
194#466×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic
199C4×D8×C73C2211yescharacteristic
200C8×D4×C73C2211yescharacteristic
201#416×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924028—21no—
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027D411yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146—21no—
209C23×Dic73—21no—
210C2×#11924017C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924015C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C22×#10596831C2311yescharacteristic
216C22×#10596831C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219#14556590—21no—
220#14556590—21no—
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556589C2311yescharacteristic
228#14556587C2311yescharacteristic
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556583C2311yescharacteristic
239#14556583C2311yescharacteristic
240#14556582—21no—
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556581—21no—
245#14556581—21no—
246#14556579—21no—
247#14556578—21no—
248#14556578—21no—
249#14556578C2311yescharacteristic
250#14556577—21no—
251#14556577—21no—
252#14556577—21no—
253#14556577—21no—
254#14556577—21no—
255#14556577—21no—
256#14556576—21no—
257#14556575—21no—
258#14556575—21no—
259#14556574—21no—
260#14556573—21no—
261#14556573—21no—
262#14556572—21no—
263#14556572—21no—
264#14556572—21no—
265#14556572—21no—
266#14556571—21no—
267#14556570—21no—
268#14556570—21no—
269#14556570C2311yescharacteristic
270#14556570C2311yescharacteristic
271#14556569—21no—
272#14556569—21no—
273#14556569—21no—
274#14556569—21no—
275#14556568—21no—
276#14556568—21no—
277#14556568—21no—
278#14556568—21no—
279#14556568—21no—
280#14556568—21no—
281#14556568—21no—
282#14556568—21no—
283#14556567C2311yescharacteristic
284#14556566C2311yescharacteristic
285#14556565—21no—
286#14556565C2311yescharacteristic
287#14556565C2311yescharacteristic
288#14556564—21no—
289#14556564—21no—
290#14556563—21no—
291#14556563—21no—
292#14556563—21no—
293#14556563—21no—
294#14556563—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556562C2311yescharacteristic
299#14556562C2311yescharacteristic
300#14556560—21no—
301Q8×Dic73C2311yescharacteristic
302Q8×Dic73C2311yescharacteristic
303C4×Dic146—21no—
304C4×Dic146—21no—
305C4×Dic146C2311yescharacteristic
306C4×Dic146C2311yescharacteristic
307#14556556—21no—
308#14556556—21no—
309#14556556—21no—
310#14556556D411yescharacteristic
311#14556556C2311yescharacteristic
312C4×D292C2311yescharacteristic
313D4×Dic73—21no—
314D4×Dic73—21no—
315D4×Dic73—21no—
316D4×Dic73—21no—
317D4×Dic73—21no—
318D4×Dic73—21no—
319D4×Dic73D411yescharacteristic
320D4×Dic73C2311yescharacteristic
321D4×Dic73C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327#14556553C2311yescharacteristic
328#14556553C2311yescharacteristic
329C4×C22⋊D73—21no—
330C4×C22⋊D73—21no—
331C4×C22⋊D73—21no—
332C4×C22⋊D73C2311yescharacteristic
333C4×C22⋊D73C2311yescharacteristic
334#14556551—21no—
335#14556551—21no—
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551D411yescharacteristic
340#14556551D411yescharacteristic
341#14556550—21no—
342#14556550C2311yescharacteristic
343#14556550C2311yescharacteristic
344#14556549D411yescharacteristic
345#14556549C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556549C2311yescharacteristic
348#14556548—21no—
349#14556547—21no—
350#14556547—21no—
351#14556547—21no—
352#14556547—21no—
353#14556547—21no—
354#14556547—21no—
355#14556547—21no—
356#14556547—21no—
357#14556547—21no—
358#14556547D411yescharacteristic
359#14556547D411yescharacteristic
360C2×C4⋊Dic73C2311yescharacteristic
361C2×C4⋊Dic73C2311yescharacteristic
362C2×#11924007—21no—
363C2×#11924007—21no—
364C2×#11924007—21no—
365C2×#11924007—21no—
366C4⋊C4×D73—21no—
367C2×C22⋊Dic73—21no—
368C2×C22⋊Dic73—21no—
369C2×C4×Dic73—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#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
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
478#11924028—82no—
479#11924027—24no—
480#11924027—22no—
481#11924027—41no—
482#11924027—44no—
483#11924027—82no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—82no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×D292—21no—
494C2×D292C2411yescharacteristic
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73C2×D411yescharacteristic
503C2×C22⋊D73C2×D411yescharacteristic
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—44no—
515C22×Dic73C2×D411yescharacteristic
516C22×Dic73C2×D411yescharacteristic
517C22×Dic73C2×D411yescharacteristic
518C22×Dic73C2×D411yescharacteristic
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2×D411yescharacteristic
524C2×C4×D73C2411yescharacteristic
525#11924017—41no—
526#11924016—41no—
527#11924015—41no—
528#11924013—22no—
529#11924013—41no—
530C2×#10596831—41no—
531C2×#10596831—41no—
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C8×D73—41no—
537C8×D73—41no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73C2×D411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552#11924007—21no—
553#11924007—21no—
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#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
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⋊Dic73C2×D411yescharacteristic
592C22⋊Dic73C2×D411yescharacteristic
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605C4×Dic73—21no—
606C4×Dic73—21no—
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×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687D4×C73—22no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—42no—
694D4×C73—42no—
695D4×C73—42no—
696D4×C73—81no—
697D4×C73—81no—
698D4×C732−1+412yes—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
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—42no—
709C2×C4×C73—81no—
710C2×C4×C73—81no—
711C2×C4×C73—81no—
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C2511yescharacteristic
717C22⋊D73—22no—
718C22⋊D73—22no—
719C22⋊D73—42no—
720C22⋊D73—42no—
721C22⋊D73—42no—
722C22⋊D73—42no—
723C22⋊D73—81no—
724C22⋊D73—81no—
725C22⋊D73—81no—
726C2×Dic73—22no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—41no—
735C2×Dic73—41no—
736C2×Dic73—42no—
737C2×Dic73—42no—
738C2×Dic73—42no—
739C2×Dic73—42no—
740C2×Dic73—42no—
741C2×Dic73—42no—
742C2×Dic73—42no—
743C2×Dic73—81no—
744C2×Dic73—81no—
745C2×Dic73—81no—
746C2×Dic73#13514yes—
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754D292—21no—
755D292—21no—
756D292—81no—
757C4×D73—21no—
758C4×D73—21no—
759C4×D73—22no—
760C4×D73—41no—
761C4×D73—42no—
762C4×D73—81no—
763C4×D73—81no—
764Dic146—22no—
765Dic146—21no—
766Dic146—21no—
767Dic146—42no—
768Dic146—42no—
769Dic146—42no—
770Dic146—81no—
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—21no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—41no—
804C4×C73—21no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73C2×2−1+411yescharacteristic
814C4×C73#58511yescharacteristic
815Dic73—21no—
816Dic73—21no—
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73C2×#13512yes—
828Dic73C2×#13512yes—
829#62098—731nomaximal, Sylow
830C2×C73—22no—
831C2×C73—41no—
832C2×C73—42no—
833C2×C73—81no—
834C2×C73—81no—
835C2×C73#348911yescharacteristic
836C2×C73C22×#13511yescharacteristic
837C2×C73#358511yescharacteristic
838D73—41no—
839D73—81no—
840#3511—731no—
841#3475—731no—
842#3380—731no—
843#3380—731no—
844#3360—731no—
845#3360—731no—
846#3341—731no—
847#3341—731no—
848#3337—731no—
849#3337—731no—
850#3337—731no—
851#3337—731no—
852#3303—731no—
853#3303—731no—
854#3297—731no—
855#3297—731no—
856#3297—731no—
857#3297D7311yescharacteristic, complemented
858#3247—731no—
859#3247—731no—
860#3246—731no—
861#3233—731no—
862#3233—731no—
863#3230—731no—
864#3106—731no—
865#3106—731no—
866#3100—731no—
867#3076—731no—
868#3076—731no—
869C2×#476—731no—
870#2988—731no—
871C73#6209811yescharacteristic, complemented, Sylow
872#556—731no—
873#556—1461no—
874#555—731no—
875#555—731no—
876#555—731no—
877#554—731no—
878#554—731no—
879#554—731no—
880#553—731no—
881#553—731no—
882#553—731no—
883#553—1461no—
884#553C2×D7311yescharacteristic
885#552—731no—
886#552—731no—
887#552—1461no—
888#551—1461no—
889#551—1461no—
890#548—1461no—
891#548—1461no—
892#547—731no—
893#547—1461no—
894#546—731no—
895#546C2×D7311yescharacteristic
896#542—1461no—
897#542—1461no—
898#537—1461no—
899#533—731no—
900#533—731no—
901#533—731no—
902#532—731no—
903#532—731no—
904#532—731no—
905C2×C4⋊Q8—731no—
906#529—731no—
907#529—731no—
908#529—1461no—
909#529—1461no—
910#525—1461no—
911#520—1461no—
912C4×#41—731no—
913C4×#41—731no—
914C4×#41—731no—
915C2×C4×D4—731no—
916C2×#117—1461no—
917#500—731no—
918#500—731no—
919#499—731no—
920#499—731no—
921#499—731no—
922#499—731no—
923#488—731no—
924#488—731no—
925#488—731no—
926#488C2×D7311yescharacteristic
927#487—731no—
928#487—731no—
929#485—731no—
930#485—731no—
931#485—731no—
932#485—731no—
933#484—731no—
934#484—731no—
935#484—731no—
936#484C2×D7311yescharacteristic
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#482—731no—
942#482—731no—
943#482—731no—
944#482C2×D7311yescharacteristic
945#480—731no—
946#480—731no—
947#479—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478C2×D7311yescharacteristic
959#477—731no—
960#477—731no—
961#477—731no—
962#477—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476—731no—
971#476—731no—
972#476—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474—731no—
977#466—731no—
978#466—731no—
979#466—731no—
980#466C2×D7311yescharacteristic
981#465—731no—
982#465—731no—
983#465—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465C2×D7311yescharacteristic
989#463—731no—
990#463—731no—
991#463—731no—
992#463C2×D7311yescharacteristic
993#461—731no—
994#461—731no—
995#460—731no—
996#460—731no—
997#459—731no—
998#459—731no—
999#449—731no—
1000#449—731no—
1001#449—731no—
1002#449C2×D7311yescharacteristic
1003#447—731no—
1004#447C2×D7311yescharacteristic
1005C8×Q8—731no—
1006C8×Q8—731no—
1007C4×SD16—731no—
1008C4×SD16—731no—
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013C4×D8—731no—
1014C4×D8—731no—
1015C4×D8—731no—
1016C4×D8—731no—
1017C4×D8—731no—
1018C4×D8C2×D7311yescharacteristic
1019C8×D4—731no—
1020C8×D4—731no—
1021C8×D4—731no—
1022C8×D4—731no—
1023C8×D4—731no—
1024C8×D4C2×D7311yescharacteristic
1025#431—731no—
1026#431—731no—
1027#431—731no—
1028#427—731no—
1029#427—731no—
1030#427—731no—
1031#427—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×C4⋊C8—731no—
1035C2×C4⋊C8—731no—
1036C2×C4⋊C8—731no—
1037#416—731no—
1038#416—731no—
1039#416—731no—
1040#416C2×D7311yescharacteristic
1041C2×#102—731no—
1042C2×#102C2×D7311yescharacteristic
1043C2×#41—731no—
1044C2×#41—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C2×#41—1461no—
1048C2×#41C22×D7311yescharacteristic
1049C22×Q8—1461no—
1050C22×D4C22×D7311yescharacteristic
1051C23×C4—1461no—
1052C2×SD16—731no—
1053C2×SD16—731no—
1054C2×SD16—731no—
1055C2×SD16C22×D7311yescharacteristic
1056C2×D8—731no—
1057C2×D8—731no—
1058C2×D8C22×D7311yescharacteristic
1059C2×D8C22×D7311yescharacteristic
1060C22×C8—731no—
1061C22×C8—731no—
1062C22×C8—731no—
1063C22×C8—731no—
1064C22×C8C22×D7311yescharacteristic
1065C22×C8C22×D7311yescharacteristic
1066C4⋊Q8—731no—
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075#127—731no—
1076#126—21no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
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#125C22×D7311yescharacteristic
1095#124—731no—
1096#124—1461no—
1097#124—1461no—
1098#124—1461no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124C22×D7311yescharacteristic
1106#123—21no—
1107#123—21no—
1108#123—1461no—
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—
1118C22⋊Q8—731no—
1119C22⋊Q8—731no—
1120C22⋊Q8—731no—
1121C22⋊Q8—1461no—
1122C22⋊Q8—1461no—
1123C22⋊Q8—1461no—
1124C22⋊Q8—1461no—
1125C22⋊Q8—1461no—
1126C22⋊Q8—1461no—
1127C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1137#121—21no—
1138#121—21no—
1139#121—731no—
1140#121—731no—
1141#121—731no—
1142#121—731no—
1143#121—731no—
1144#121—1461no—
1145#121—1461no—
1146#121—1461no—
1147#121—1461no—
1148#121—1461no—
1149#121—1461no—
1150#121—1461no—
1151#121—1461no—
1152#121—1461no—
1153#121—1461no—
1154#121—1461no—
1155#121C22×D7311yescharacteristic
1156#121C22×D7311yescharacteristic
1157#121C22×D7311yescharacteristic
1158#120—21no—
1159#120—1461no—
1160C4×Q8—731no—
1161C4×Q8—731no—
1162C4×Q8—731no—
1163C4×Q8—731no—
1164C4×Q8—731no—
1165C4×Q8—731no—
1166C4×Q8—1461no—
1167C4×Q8—1461no—
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—731no—
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×D4C22×D7311yescharacteristic
1202C4×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
1204#117—731no—
1205#117—731no—
1206#117—731no—
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#117—1461no—
1221#117—1461no—
1222#117—1461no—
1223#117C22×D7311yescharacteristic
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⋊C4C22×D7311yescharacteristic
1232C2×C22⋊C4—21no—
1233C2×C22⋊C4—1461no—
1234C2×C22⋊C4—1461no—
1235C2×C42—731no—
1236C2×C42—731no—
1237C2×C42—731no—
1238C2×C42—1461no—
1239C2×C42—1461no—
1240#107—731no—
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#107C22×D7311yescharacteristic
1251#107C22×D7311yescharacteristic
1252#106—731no—
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#106C22×D7311yescharacteristic
1264C4⋊C8—731no—
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⋊C8C22×D7311yescharacteristic
1274#103—731no—
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
1285#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1300#102C22×D7311yescharacteristic
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306C22⋊C8—731no—
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8C22×D7311yescharacteristic
1311C22⋊C8C22×D7311yescharacteristic
1312C4×C8—731no—
1313C4×C8—731no—
1314C4×C8—731no—
1315C4×C8—731no—
1316C4×C8—731no—
1317C4×C8C22×D7311yescharacteristic
1318C24—21no—
1319#41—22no—
1320#41—41no—
1321#41—2924no—
1322#41—2921no—
1323#41—5842no—
1324#41—5842no—
1325#41—1462no—
1326#41—1464no—
1327C2×Q8—5842no—
1328C2×Q8—731no—
1329C2×Q8—731no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—22no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—41no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1461no—
1355C2×D4D4×D7311yescharacteristic
1356C2×D4C23×D7311yescharacteristic
1357C2×D4C23×D7311yescharacteristic
1358C2×D4C23×D7311yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—2924no—
1364C22×C4—731no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—731no—
1370C22×C4—731no—
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×C4—1461no—
1384C22×C4C23×D7311yescharacteristic
1385C22×C4C23×D7311yescharacteristic
1386SD16—41no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—2921no—
1390D8—22no—
1391D8—41no—
1392D8—2921no—
1393D8—1462no—
1394C2×C8—41no—
1395C2×C8—41no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—2921no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8—731no—
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C2×C8C23×D7311yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
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—731no—
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⋊C4D4×D7311yescharacteristic
1451C4⋊C4C23×D7311yescharacteristic
1452C4⋊C4C23×D7311yescharacteristic
1453C4⋊C4C23×D7311yescharacteristic
1454C4⋊C4C23×D7311yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—731no—
1465C22⋊C4—731no—
1466C22⋊C4—731no—
1467C22⋊C4—731no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1494C22⋊C4D4×D7311yescharacteristic
1495C42—21no—
1496C42—731no—
1497C42—731no—
1498C42—731no—
1499C42—731no—
1500C42—731no—
1501C42—731no—
1502C42—731no—
1503C42—731no—
1504C42—731no—
1505C42—1461no—
1506C42—1461no—
1507C42—1461no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42C23×D7311yescharacteristic
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—42no—
1519C23—42no—
1520C23—81no—
1521C23—731no—
1522C23—1461no—
1523C23C2×D4×D7311yescharacteristic
1524C23C2×D4×D7311yescharacteristic
1525Q8—21no—
1526Q8—21no—
1527Q8—2922no—
1528Q8—2922no—
1529Q8—2922no—
1530Q8—5841no—
1531Q8—5841no—
1532Q8—5841no—
1533Q8—1462no—
1534Q8—1461no—
1535Q8—1461no—
1536D4—22no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—42no—
1543D4—42no—
1544D4—42no—
1545D4—81no—
1546D4—81no—
1547D4—2922no—
1548D4—2922no—
1549D4—2922no—
1550D4—2922no—
1551D4—5841no—
1552D4—5841no—
1553D4—5841no—
1554D4—5841no—
1555D4—1462no—
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—2922no—
1582C2×C4—2921no—
1583C2×C4—2921no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—731no—
1590C2×C4—731no—
1591C2×C4—734no—
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—1461no—
1607C2×C4—1461no—
1608C2×C4C2×D4×D7311yescharacteristic
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C24×D7311yescharacteristic
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—1461no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—22no—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—84no—
1636C22—2921no—
1637C22—2921no—
1638C22—2921no—
1639C22—1461no—
1640C22—1461no—
1641C22—1461no—
1642C22#135×D7312yes—
1643C22C22×D4×D7311yescharacteristic
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—2921no—
1654C4—2921no—
1655C4—2921no—
1656C4—2921no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—732no—
1661C4—732no—
1662C4—1461no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4C2×#1455663811yescharacteristic
1668C4#1798942211yescharacteristic
1669C2—22no—
1670C2—41no—
1671C2—42no—
1672C2—81no—
1673C2—81no—
1674C2—2921no—
1675C2—5841no—
1676C2#2262360211yescharacteristic
1677C2C2×#135×D7311yescharacteristic
1678C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3297C2
socleC22×C73C23×D4
hypercenter#3297D73
hypocenterC73#62098
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. #22623833C2semidirect
2. #22623482C2semidirect
3. #22622798C2semidirect
4. #22622793C2semidirect
5. #22622577C2semidirect
6. #22622575C2semidirect
7. #22622350C2semidirect
8. #22622348C2semidirect
9. #22622316C2semidirect
10. #22622312C2semidirect
11. #22622308C2semidirect
12. #22622304C2semidirect
13. #22621855C2semidirect
14. #22621852C2semidirect
15. #22621785C2semidirect
16. #22621781C2semidirect
17. #22621777C2semidirect
18. #22621254C2semidirect
19. #22621250C2semidirect
20. #22621242C2semidirect
21. #22621107C2semidirect
22. #22621105C2semidirect
23. #22621080C2semidirect
24. #22619987C2semidirect
25. #22619984C2semidirect
26. #22619926C2semidirect
27. #22619716C2semidirect
28. #22619715C2semidirect
29. C2×#17988875C2semidirect
30. #22619038C2semidirect
31. C73×#3297C2semidirect
35. #17989301C22semidirect
36. #17989300C22semidirect
38. #17989296C22semidirect
39. #17989293C22semidirect
57. #17989143C22semidirect
58. #17989140C22semidirect
60. #17989134C22semidirect
62. #17989132C22semidirect
75. #17988991C22semidirect
76. #17988991C22semidirect
77. #17988989C22semidirect
78. #17988988C22semidirect
79. #17988987C22semidirect
80. #17988986C22semidirect
84. #17988936C22semidirect
85. #17988936C22semidirect
86. #17988929C22semidirect
87. #17988928C22semidirect
88. #17988927C22semidirect
89. #17988926C22semidirect
93. #17988914C22semidirect
94. #17988912C22semidirect
96. #17988910C22semidirect
99. #17988908C22semidirect
102. #17988896C22semidirect
103. #17988895C22semidirect
104. #17988892C22semidirect
105. #17988891C22semidirect
106. #17988890C22semidirect
108. #17988889C22semidirect
109. #17988888C22semidirect
111. #17988887C22semidirect
113. #17988881C22semidirect
114. #17988881C22semidirect
115. #17988880C22semidirect
116. #17988880C22semidirect
117. #17988876C22semidirect
126. #17988875C22semidirect
127. #17988871C22semidirect
128. #17988870C22semidirect
134. #17988819C22semidirect
137. #17988816C22semidirect
139. #17988814C22semidirect
140. #17988813C22semidirect
144. #17988791C22semidirect
145. #17988790C22semidirect
146. #17988786C22semidirect
147. #17988785C22semidirect
154. C8×Dic146C22semidirect
155. #17988711C22semidirect
156. C4×#11924017C22semidirect
157. SD16×Dic73C22semidirect
158. C4×#11924016C22semidirect
159. #17988672C22semidirect
169. C8×C22⋊D73C22semidirect
171. #17988650C22semidirect
172. #17988638C22semidirect
174. #17988637C22semidirect
175. #17988625C22semidirect
176. #17988624C22semidirect
177. #17988623C22semidirect
178. #17988622C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
857. #3297D73semidirect
871. C73#62098semidirect

Maximal subgroups

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

subgroupindex
#226238332
#226234822
#226227982
#226227932
#226225772
#226225752
#226223502
#226223482
#226223162
#226223122
#226223082
#226223042
#226218552
#226218522
#226217852
#226217812
#226217772
#226212542
#226212502
#226212422
#226211072
#226211052
#226210802
#226199872
#226199842
#226199262
#226197162
#226197152
C2×#179888752
#226190382
C73×#32972
#6209873