Finite Group Databasebeta

← #33968201

Subgroups — #33968201

Order 18688.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623544C211yesmaximal, characteristic, complemented
2#22623493C211yesmaximal, characteristic, complemented
3#22622914C211yesmaximal, characteristic, complemented
4#22622801C211yesmaximal, characteristic, complemented
5#22622619C211yesmaximal, characteristic, complemented
6#22622575C211yesmaximal, characteristic, complemented
7#22622524C211yesmaximal, characteristic, complemented
8#22622503C211yesmaximal, characteristic, complemented
9#22622499C211yesmaximal, characteristic, complemented
10#22622229C211yesmaximal, characteristic, complemented
11#22622223C211yesmaximal, characteristic, complemented
12#22622206C211yesmaximal, characteristic, complemented
13#22622197C211yesmaximal, characteristic, complemented
14#22622144C211yesmaximal, characteristic, complemented
15#22622140C211yesmaximal, characteristic, complemented
16#22621575C211yesmaximal, characteristic, complemented
17#22621568C211yesmaximal, characteristic, complemented
18#22621560C211yesmaximal, characteristic, complemented
19#22620673C211yesmaximal, characteristic, complemented
20#22620656C211yesmaximal, characteristic, complemented
21#22620654C211yesmaximal, characteristic, complemented
22#22620106C211yesmaximal, characteristic, complemented
23#22620104C211yesmaximal, characteristic, complemented
24#22620089C211yesmaximal, characteristic, complemented
25#22620036C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22618948C211yesmaximal, characteristic, complemented
28#22618753C211yesmaximal, characteristic, complemented
29C4×#14556621C211yesmaximal, characteristic, complemented
30#22618742C211yesmaximal, characteristic, complemented
31C73×#3111C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic
33C2×#14556620C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989309C2211yescharacteristic
37#17989306C2211yescharacteristic, complemented
38#17989304—21no—
39#17989300C2211yescharacteristic
40#17989296C2211yescharacteristic
41#17989286—21no—
42#17989279C2211yescharacteristic
43#17989278C2211yescharacteristic
44#17989276C2211yescharacteristic
45#17989275C2211yescharacteristic
46#17989274—21no—
47#17989273—21no—
48#17989270—21no—
49#17989266—21no—
50#17989261—21no—
51#17989250C2211yescharacteristic, complemented
52#17989245C2211yescharacteristic
53#17989243C2211yescharacteristic
54#17989237C2211yescharacteristic, complemented
55#17989236C2211yescharacteristic
56#17989235—21no—
57#17989232C2211yescharacteristic
58#17989225C2211yescharacteristic
59#17989141C2211yescharacteristic
60#17989141C2211yescharacteristic
61#17989140—21no—
62#17989124C2211yescharacteristic
63#17989121—21no—
64#17989121C2211yescharacteristic
65#17989119C2211yescharacteristic, complemented
66#17989117—21no—
67#17989117—21no—
68#17989115—21no—
69#17989096—21no—
70C4×#11924028C2211yescharacteristic
71C4×#11924027—21no—
72C4×#11924027C2211yescharacteristic
73C4×#11924027C2211yescharacteristic
74C2×C4×Dic146C2211yescharacteristic, complemented
75C4×Q8×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic
77C2×#14556548—21no—
78#17988988C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988969C2211yescharacteristic
82#17988968C2211yescharacteristic
83#17988965C2211yescharacteristic, complemented
84#17988944C2211yescharacteristic
85#17988943C2211yescharacteristic
86#17988941C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988936C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988930C2211yescharacteristic
92#17988926C2211yescharacteristic
93#17988924C2211yescharacteristic
94#17988923C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic
96#17988921C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic
99#17988906C2211yescharacteristic
100#17988897C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988896C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988895C2211yescharacteristic, complemented
105#17988889C2211yescharacteristic
106#17988881C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic
109#17988865C2211yescharacteristic
110#17988846C2211yescharacteristic
111#17988844C2211yescharacteristic
112#17988844C2211yescharacteristic
113#17988844C2211yescharacteristic, complemented
114#17988843C2211yescharacteristic, complemented
115#17988842C2211yescharacteristic
116#17988839C2211yescharacteristic
117#17988838C2211yescharacteristic
118#17988835C2211yescharacteristic
119#17988834C2211yescharacteristic
120#17988831C2211yescharacteristic, complemented
121#17988830C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic
123#17988811C2211yescharacteristic
124#17988810C2211yescharacteristic
125#17988810C2211yescharacteristic
126#17988808C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic
128#17988796C2211yescharacteristic, complemented
129#17988791C2211yescharacteristic
130#17988790C2211yescharacteristic
131#17988790C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic
133#17988750C2211yescharacteristic
134#17988746C2211yescharacteristic
135#17988745C2211yescharacteristic, complemented
136#17988741C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic
138#17988736C2211yescharacteristic
139#17988729C2211yescharacteristic
140#17988728C2211yescharacteristic
141#17988727C2211yescharacteristic
142#17988711C2211yescharacteristic, complemented
143#17988711C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic
145#17988695C2211yescharacteristic, complemented
146#17988695C2211yescharacteristic, complemented
147#17988692C2211yescharacteristic, complemented
148#17988692C2211yescharacteristic, complemented
149#17988692C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic
151#17988689C2211yescharacteristic
152#17988687C2211yescharacteristic
153#17988687C2211yescharacteristic
154#17988687C2211yescharacteristic, complemented
155#17988685C2211yescharacteristic
156#17988681C2211yescharacteristic, complemented
157C4×#11924018C2211yescharacteristic, complemented
158C4×#11924018C2211yescharacteristic, complemented
159#17988679C2211yescharacteristic, complemented
160#17988678C2211yescharacteristic
161#17988678C2211yescharacteristic
162SD16×Dic73C2211yescharacteristic
163#17988674C2211yescharacteristic
164C4×#11924016C2211yescharacteristic
165C4×#11924016C2211yescharacteristic
166D8×Dic73C2211yescharacteristic
167#17988667C2211yescharacteristic
168#17988664C2211yescharacteristic
169#17988664C2211yescharacteristic
170#17988662C2211yescharacteristic
171#17988662C2211yescharacteristic
172#17988662C2211yescharacteristic, complemented
173#17988662C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic
175#17988642C2211yescharacteristic, complemented
176#17988630C2211yescharacteristic, complemented
177#17988628C2211yescharacteristic, complemented
178#17988626C2211yescharacteristic
179#17988595C2211yescharacteristic, complemented
180#17988594C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic
182#17988588C2211yescharacteristic
183#17988585C2211yescharacteristic
184#17988585C2211yescharacteristic
185C4×#11924012C2211yescharacteristic, complemented
186#17988539C2211yescharacteristic
187#17988539C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic, complemented
189C4×#41×C73C2211yescharacteristic
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic
196#452×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924028D411yescharacteristic
204C2×#11924027—21no—
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211#14556621—24no—
212#14556620—24no—
213#14556615—24no—
214C2×Dic292C2311yescharacteristic
215C2×Dic292C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924012C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232#14556590—21no—
233#14556590—21no—
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556589C2311yescharacteristic
237#14556589C2311yescharacteristic
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556585—21no—
243#14556585—21no—
244#14556585—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556583—21no—
250#14556583C2311yescharacteristic
251#14556582—21no—
252#14556582—21no—
253#14556582C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556580C2311yescharacteristic
261#14556579—21no—
262#14556579C2311yescharacteristic
263#14556578C2311yescharacteristic
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556575—21no—
271#14556575—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556572—21no—
279#14556572—21no—
280#14556571C2311yescharacteristic
281#14556571C2311yescharacteristic
282#14556571C2311yescharacteristic
283#14556570—21no—
284#14556570C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556566C2311yescharacteristic
300#14556565—21no—
301#14556565C2311yescharacteristic
302#14556564—21no—
303#14556564—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556562C2311yescharacteristic
308#14556561—21no—
309#14556559—21no—
310Q8×Dic73C2311yescharacteristic
311C4×Dic146—21no—
312C4×Dic146—21no—
313C4×Dic146—21no—
314C4×Dic146—21no—
315C4×Dic146—21no—
316C4×Dic146D411yescharacteristic
317C4×Dic146C2311yescharacteristic
318C4×Dic146C2311yescharacteristic
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323#14556556—21no—
324#14556556—21no—
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328C4×D292—21no—
329C4×D292D411yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332D4×Dic73—21no—
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336#14556553C2311yescharacteristic
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73D411yescharacteristic
343C4×C22⋊D73D411yescharacteristic
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556550—21no—
352#14556550D411yescharacteristic
353#14556549—21no—
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556548—21no—
357#14556548—21no—
358#14556548—21no—
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548D411yescharacteristic
365#14556548D411yescharacteristic
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370C2×C4⋊Dic73C2311yescharacteristic
371C2×#11924007—21no—
372C2×#11924007—21no—
373C2×#11924007—21no—
374C4⋊C4×D73—21no—
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C2×#11924005—21no—
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443#126×C73—21no—
444#125×C73C2311yescharacteristic
445#124×C73C2311yescharacteristic
446#123×C73—21no—
447C22⋊Q8×C73C2311yescharacteristic
448#121×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461C2×C42×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—42no—
483#11924027—22no—
484#11924027—22no—
485#11924027—41no—
486#11924027—41no—
487#11924027—44no—
488C2×Dic146—22no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—41no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498Q8×D73—22no—
499Q8×D73—41no—
500C2×D292—21no—
501C2×D292C2×D411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73C2×D411yescharacteristic
509C2×C22⋊D73C2×D411yescharacteristic
510D4×D73—22no—
511D4×D73—41no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—44no—
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531Dic292—22no—
532Dic292—41no—
533#11924018—22no—
534#11924018—22no—
535#11924018—22no—
536#11924017—22no—
537#11924017—41no—
538#11924016—22no—
539#11924016—41no—
540#11924016#4114yescomplemented
541#11924015—41no—
542#11924013—22no—
543#11924012—22no—
544#11924012—41no—
545#11924011—22no—
546#11924011—22no—
547#11924011—41no—
548#11924011—41no—
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73C2×D411yescharacteristic
602C22⋊Dic73C2×D411yescharacteristic
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640#41×C73—22no—
641#41×C73—41no—
642C2×Q8×C73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73C2411yescharacteristic
647C2×D4×C73C2411yescharacteristic
648C22×C4×C73—21no—
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73C2×D411yescharacteristic
653C22×C4×C73C2×D411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655Q16×C73—41no—
656SD16×C73—22no—
657SD16×C73—41no—
658D8×C73—22no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73C2411yescharacteristic
670C4⋊C4×C73C2411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C22⋊C4×C73—21no—
674C22⋊C4×C73—21no—
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C42×C73—21no—
682C42×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73C22×D411yescharacteristic
692C22×D73—21no—
693C22×D73—42no—
694C22×D73—42no—
695C22×D73—81no—
696C22×D73C22×D411yescharacteristic
697C22×D73C22×D411yescharacteristic
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—21no—
701Q8×C73—21no—
702D4×C73—21no—
703D4×C73—21no—
704D4×C73—21no—
705D4×C73—42no—
706D4×C73—42no—
707D4×C73C2×#4112yes—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—41no—
717C2×C4×C73—41no—
718C2×C4×C73—42no—
719C2×C4×C73—42no—
720C2×C4×C73—42no—
721C2×C4×C73—81no—
722C2×C4×C73C22×D411yescharacteristic
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C2511yescharacteristic
728C22⋊D73—22no—
729C22⋊D73—41no—
730C22⋊D73—42no—
731C22⋊D73—42no—
732C22⋊D73—42no—
733C22⋊D73—42no—
734C22⋊D73—81no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—42no—
743C2×Dic73—42no—
744C2×Dic73—42no—
745C2×Dic73—42no—
746C2×Dic73—42no—
747C2×Dic73—42no—
748C2×Dic73—81no—
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755D292—21no—
756D292—21no—
757D292—41no—
758D292—81no—
759C4×D73—21no—
760C4×D73—21no—
761C4×D73—21no—
762C4×D73—21no—
763C4×D73—22no—
764C4×D73—41no—
765C4×D73—41no—
766C4×D73—41no—
767C4×D73—42no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—42no—
771C4×D73—42no—
772Dic146—21no—
773Dic146—22no—
774Dic146—21no—
775Dic146—21no—
776Dic146—21no—
777Dic146—21no—
778Dic146—42no—
779Dic146—42no—
780Dic146—42no—
781Dic146—81no—
782Dic146C2×#4112yes—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73—21no—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831C2×#4112yes—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—22no—
794C22×C73—21no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73C23×D411yescharacteristic
801C2×D73—21no—
802C2×D73—21no—
803C2×D73—21no—
804C2×D73—21no—
805C2×D73—21no—
806C2×D73—21no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—84no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73C22×#4111yescharacteristic
823C4×C73#58511yescharacteristic
824Dic73—21no—
825Dic73—21no—
826Dic73—22no—
827Dic73—21no—
828Dic73—21no—
829Dic73—21no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73#57512yes—
837#61463—731nomaximal, Sylow
838C2×C73—42no—
839C2×C73—41no—
840C2×C73—81no—
841C2×C73D4×#4111yescharacteristic
842C2×C73C2×#57511yescharacteristic
843C2×C73#358611yescharacteristic
844D73—41no—
845D73—41no—
846D73—81no—
847#3482—731no—
848#3475—731no—
849#3393—731no—
850#3381—731no—
851#3364—731no—
852#3360—731no—
853#3354—731no—
854#3352—731no—
855#3352—731no—
856#3330—731no—
857#3329—731no—
858#3327—731no—
859#3327—731no—
860#3323—731no—
861#3323—731no—
862#3276—731no—
863#3275—731no—
864#3275—731no—
865#3185—731no—
866#3183—731no—
867#3183—731no—
868#3117—731no—
869#3117—731no—
870#3116—731no—
871#3111—731no—
872#3111D7311yescharacteristic, complemented
873#3110—731no—
874#2971—731no—
875C4×#137—731no—
876C4×#137—731no—
877C4×AGL(1,ℤ/8)—731no—
878C73#6146311yescharacteristic, complemented, Sylow
879C2×#137—731no—
880C2×#137—731no—
881C2×AGL(1,ℤ/8)—731no—
882#557—731no—
883#556—731no—
884#556—731no—
885#556—1461no—
886#555—731no—
887#554—731no—
888#553—1461no—
889#552—731no—
890#552—731no—
891#552—731no—
892#552—731no—
893#552—1461no—
894#552—1461no—
895#552—1461no—
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—731no—
900#548—731no—
901#547—731no—
902#547—731no—
903#547—1461no—
904#546—731no—
905#546—731no—
906#533—731no—
907#533—731no—
908#533—1461no—
909#529—731no—
910#529—731no—
911#529—731no—
912#529—1461no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529C2×D7311yescharacteristic, complemented
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—1461no—
922C4×#41C2×D7311yescharacteristic
923C2×C4×Q8—731no—
924C2×C4×Q8—731no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#499—731no—
928#499—731no—
929#498—731no—
930#495—731no—
931#495—731no—
932#494—731no—
933#488—731no—
934#488—731no—
935#488—731no—
936#488—731no—
937#487—731no—
938#487—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485C2×D7311yescharacteristic, complemented
943#484—731no—
944#484—731no—
945#484—731no—
946#484—731no—
947#482—731no—
948#482C2×D7311yescharacteristic, complemented
949#481—731no—
950#481—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#479—731no—
956#479C2×D7311yescharacteristic, complemented
957#478—731no—
958#478C2×D7311yescharacteristic
959#477—731no—
960#476—731no—
961#474—731no—
962#474—731no—
963#470—731no—
964#470—731no—
965#470—731no—
966#470—731no—
967#470—731no—
968#470—731no—
969#469—731no—
970#469—731no—
971#468—731no—
972#468—731no—
973#468—731no—
974#468—731no—
975#464—731no—
976#464—731no—
977#464—731no—
978#464—731no—
979#464—731no—
980#464C2×D7311yescharacteristic, complemented
981#463—731no—
982#463C2×D7311yescharacteristic
983#462—731no—
984#461—731no—
985#461—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452C2×D7311yescharacteristic
991#451—731no—
992#451—731no—
993#450—731no—
994#450—731no—
995#449—731no—
996#449C2×D7311yescharacteristic
997#448—731no—
998#448—731no—
999C8×Q8—731no—
1000C8×Q8—731no—
1001#442—731no—
1002#442C2×D7311yescharacteristic
1003#441—731no—
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441C2×D7311yescharacteristic, complemented
1009#440—731no—
1010#440—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440C2×D7311yescharacteristic
1016#440C2×D7311yescharacteristic, complemented
1017C4×Q16—731no—
1018C4×Q16—731no—
1019C4×Q16—731no—
1020C4×Q16—731no—
1021C4×SD16—731no—
1022C4×SD16—731no—
1023C4×SD16—731no—
1024C4×SD16—731no—
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×D8—731no—
1028C4×D8—731no—
1029#436—731no—
1030#436—731no—
1031#436—731no—
1032#436—731no—
1033#436—731no—
1034#436—731no—
1035#432—731no—
1036#432—731no—
1037#432C2×D7311yescharacteristic, complemented
1038#428—731no—
1039#428—731no—
1040#428—731no—
1041#419—731no—
1042#419—731no—
1043#418—731no—
1044#417—731no—
1045#417—731no—
1046#417—731no—
1047C4×M16—731no—
1048C4×M16—731no—
1049C4×M16—731no—
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—1461no—
1054C2×#41C22×D7311yescharacteristic
1055C22×Q8—731no—
1056C22×Q8—731no—
1057C22×D4—731no—
1058C23×C4—1461no—
1059#137—1464no—
1060#137—1464no—
1061AGL(1,ℤ/8)—1464no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—731no—
1067C2×Q16C22×D7311yescharacteristic
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16C22×D7311yescharacteristic
1075C2×SD16C22×D7311yescharacteristic
1076C2×D8—731no—
1077C2×D8C22×D7311yescharacteristic
1078C2×M16—731no—
1079C2×M16—731no—
1080C2×M16—731no—
1081C2×M16—731no—
1082C2×M16—731no—
1083C2×M16—731no—
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8—1461no—
1089C4⋊Q8—1461no—
1090#126—21no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#125—731no—
1103#125—731no—
1104#125—731no—
1105#125—1461no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125C22×D7311yescharacteristic
1114#124—731no—
1115#124—731no—
1116#124—731no—
1117#124—1461no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124C22×D7311yescharacteristic
1122#123—21no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#120—1461no—
1167#120—1461no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—21no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—731no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117—1461no—
1239#117C22×D7311yescharacteristic
1240C2×C4⋊C4—731no—
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—731no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4—1461no—
1247C2×C22⋊C4—1461no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—21no—
1251C2×C42—731no—
1252C2×C42—731no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42—1461no—
1256C2×C42—1461no—
1257C2×C42C22×D7311yescharacteristic
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107C22×D7311yescharacteristic
1265#107C22×D7311yescharacteristic
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106C22×D7311yescharacteristic
1273#106C22×D7311yescharacteristic
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8C22×D7311yescharacteristic
1279C4⋊C8C22×D7311yescharacteristic
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103C22×D7311yescharacteristic
1297#103C22×D7311yescharacteristic
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102C22×D7311yescharacteristic
1309#102C22×D7311yescharacteristic
1310#102C22×D7311yescharacteristic
1311#102C22×D7311yescharacteristic
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8C22×D7311yescharacteristic
1317C22⋊C8C22×D7311yescharacteristic
1318#97—731no—
1319#97—731no—
1320#97C22×D7311yescharacteristic
1321#97C22×D7311yescharacteristic
1322C4×C8—731no—
1323C4×C8—731no—
1324C4×C8—731no—
1325C4×C8—731no—
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—1461no—
1329#41—22no—
1330#41—41no—
1331#41—2922no—
1332#41—2924no—
1333#41—2921no—
1334#41—2921no—
1335#41—1462no—
1336#41—1462no—
1337C2×Q8—2921no—
1338C2×Q8—2921no—
1339C2×Q8—731no—
1340C2×Q8—731no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—1462no—
1344C2×Q8—1461no—
1345C2×Q8—1461no—
1346C2×Q8—1461no—
1347C2×Q8—1462no—
1348C2×Q8—1461no—
1349C2×Q8C23×D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—2921no—
1354C2×D4—731no—
1355C2×D4—731no—
1356C2×D4—731no—
1357C2×D4—731no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1462no—
1364C2×D4—1461no—
1365C2×D4C23×D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—2924no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4D4×D7311yescharacteristic
1391C22×C4D4×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—41no—
1394Q16—2921no—
1395Q16—1462no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—41no—
1401SD16—2921no—
1402SD16—2921no—
1403SD16—2921no—
1404SD16—734no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—22no—
1408D8—1462no—
1409M16—2921no—
1410M16—2921no—
1411M16—2921no—
1412M16—1462no—
1413M16—1462no—
1414M16—1462no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—731no—
1418C2×C8—731no—
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—731no—
1430C4⋊C4—731no—
1431C4⋊C4—731no—
1432C4⋊C4—731no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—731no—
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⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—731no—
1485C22⋊C4—731no—
1486C22⋊C4—731no—
1487C22⋊C4—731no—
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⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—731no—
1516C42—731no—
1517C42—731no—
1518C42—731no—
1519C42—731no—
1520C42—731no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42D4×D7311yescharacteristic
1533C42D4×D7311yescharacteristic
1534C42C23×D7311yescharacteristic
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—2922no—
1539C23—2922no—
1540C23—5841no—
1541C23—731no—
1542C23—731no—
1543C23—1461no—
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—2922no—
1550Q8—2922no—
1551Q8—2922no—
1552Q8—5841no—
1553Q8—732no—
1554Q8—1462no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—42no—
1564D4—42no—
1565D4—2921no—
1566D4—2922no—
1567D4—2922no—
1568D4—2922no—
1569D4—2921no—
1570D4—2922no—
1571D4—5841no—
1572D4—5841no—
1573D4—1462no—
1574D4—1461no—
1575D4—1461no—
1576D4#41×D7312yes—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—42no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—81no—
1591C2×C4—2922no—
1592C2×C4—2921no—
1593C2×C4—2921no—
1594C2×C4—2921no—
1595C2×C4—2922no—
1596C2×C4—2922no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2922no—
1604C2×C4—2922no—
1605C2×C4—5841no—
1606C2×C4—731no—
1607C2×C4—731no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—1462no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4—1461no—
1623C2×C4—1461no—
1624C2×C4C2×D4×D7311yescharacteristic
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C2×D4×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—732no—
1635C8—1461no—
1636C8—1461no—
1637C8—1461no—
1638C22—21no—
1639C22—21no—
1640C22—22no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—2921no—
1648C22—2921no—
1649C22—2921no—
1650C22—5844no—
1651C22—1461no—
1652C22—1461no—
1653C22—1461no—
1654C22—1461no—
1655C22—1461no—
1656C22—1461no—
1657C22C22×D4×D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—2921no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—2921no—
1675C4—732no—
1676C4—1461no—
1677C4—1462no—
1678C4—1461no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942311yescharacteristic
1684C2—41no—
1685C2—42no—
1686C2—81no—
1687C2—2921no—
1688C2—2921no—
1689C2—5841no—
1690C2#2262341411yescharacteristic
1691C2#575×D7311yescharacteristic
1692C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3111C2
socleC22×C73C23×D4
hypercenter#3111D73
hypocenterC73#61463
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #22623544C2semidirect
2. #22623493C2semidirect
3. #22622914C2semidirect
4. #22622801C2semidirect
5. #22622619C2semidirect
6. #22622575C2semidirect
7. #22622524C2semidirect
8. #22622503C2semidirect
9. #22622499C2semidirect
10. #22622229C2semidirect
11. #22622223C2semidirect
12. #22622206C2semidirect
13. #22622197C2semidirect
14. #22622144C2semidirect
15. #22622140C2semidirect
16. #22621575C2semidirect
17. #22621568C2semidirect
18. #22621560C2semidirect
19. #22620673C2semidirect
20. #22620656C2semidirect
21. #22620654C2semidirect
22. #22620106C2semidirect
23. #22620104C2semidirect
24. #22620089C2semidirect
25. #22620036C2semidirect
26. #22620028C2semidirect
27. #22618948C2semidirect
28. #22618753C2semidirect
29. C4×#14556621C2semidirect
30. #22618742C2semidirect
31. C73×#3111C2semidirect
35. #17989314C22semidirect
37. #17989306C22semidirect
51. #17989250C22semidirect
54. #17989237C22semidirect
65. #17989119C22semidirect
74. C2×C4×Dic146C22semidirect
75. C4×Q8×D73C22semidirect
78. #17988988C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
83. #17988965C22semidirect
86. #17988941C22semidirect
87. #17988940C22semidirect
88. #17988936C22semidirect
89. #17988936C22semidirect
90. #17988931C22semidirect
94. #17988923C22semidirect
96. #17988921C22semidirect
97. #17988910C22semidirect
100. #17988897C22semidirect
101. #17988897C22semidirect
102. #17988896C22semidirect
103. #17988895C22semidirect
104. #17988895C22semidirect
106. #17988881C22semidirect
107. #17988875C22semidirect
113. #17988844C22semidirect
114. #17988843C22semidirect
120. #17988831C22semidirect
121. #17988830C22semidirect
126. #17988808C22semidirect
128. #17988796C22semidirect
131. #17988790C22semidirect
135. #17988745C22semidirect
136. #17988741C22semidirect
142. #17988711C22semidirect
143. #17988711C22semidirect
145. #17988695C22semidirect
146. #17988695C22semidirect
147. #17988692C22semidirect
148. #17988692C22semidirect
149. #17988692C22semidirect
154. #17988687C22semidirect
156. #17988681C22semidirect
157. C4×#11924018C22semidirect
158. C4×#11924018C22semidirect
159. #17988679C22semidirect
172. #17988662C22semidirect
173. #17988662C22semidirect
175. #17988642C22semidirect
176. #17988630C22semidirect
177. #17988628C22semidirect
179. #17988595C22semidirect
180. #17988594C22semidirect
185. C4×#11924012C22semidirect
187. #17988539C22semidirect
188. #529×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #479×C73C22semidirect
194. #464×C73C22semidirect
199. #441×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
540. #11924016#41semidirect
872. #3111D73semidirect
878. C73#61463semidirect
916. #529C2×D73semidirect
942. #485C2×D73semidirect
948. #482C2×D73semidirect
956. #479C2×D73semidirect
980. #464C2×D73semidirect
1008. #441C2×D73semidirect
1016. #440C2×D73semidirect
1037. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235442
#226234932
#226229142
#226228012
#226226192
#226225752
#226225242
#226225032
#226224992
#226222292
#226222232
#226222062
#226221972
#226221442
#226221402
#226215752
#226215682
#226215602
#226206732
#226206562
#226206542
#226201062
#226201042
#226200892
#226200362
#226200282
#226189482
#226187532
C4×#145566212
#226187422
C73×#31112
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