Finite Group Databasebeta

← #33964889

Subgroups — #33964889

Order 18688.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623635C211yesmaximal, characteristic, complemented
2#22623631C211yesmaximal, characteristic, complemented
3#22622405C211yesmaximal, characteristic, complemented
4#22622404C211yesmaximal, characteristic, complemented
5#22622398C211yesmaximal, characteristic, complemented
6#22622395C211yesmaximal, characteristic, complemented
7#22622393C211yesmaximal, characteristic, complemented
8#22622386C211yesmaximal, characteristic, complemented
9#22622384C211yesmaximal, characteristic, complemented
10#22622379C211yesmaximal, characteristic, complemented
11#22622316C211yesmaximal, characteristic, complemented
12#22622311C211yesmaximal, characteristic, complemented
13#22622309C211yesmaximal, characteristic, complemented
14#22622290C211yesmaximal, characteristic, complemented
15#22622289C211yesmaximal, characteristic, complemented
16#22622284C211yesmaximal, characteristic, complemented
17#22622283C211yesmaximal, characteristic, complemented
18#22620460C211yesmaximal, characteristic, complemented
19#22619923C211yesmaximal, characteristic, complemented
20#22619917C211yesmaximal, characteristic, complemented
21#22619858C211yesmaximal, characteristic, complemented
22#22619850C211yesmaximal, characteristic, complemented
23#22619796C211yesmaximal, characteristic, complemented
24#22619794C211yesmaximal, characteristic, complemented
25#22619588C211yesmaximal, characteristic, complemented
26#22619507C211yesmaximal, characteristic, complemented
27#22618809C211yesmaximal, characteristic, complemented
28#22618620C211yesmaximal, characteristic, complemented
29#22618523C211yesmaximal, characteristic, complemented
30C2×#106×D73C211yesmaximal, characteristic, complemented
31C73×#3337C211yesmaximal, characteristic, complemented
32C2×#14556612C2211yescharacteristic
33C2×#14556597C2211yescharacteristic
34C22×C8×D73C2211yescharacteristic
35#17989297C2211yescharacteristic
36#17989296—21no—
37#17989295C2211yescharacteristic
38#17989294C2211yescharacteristic
39#17989293—21no—
40#17989292C2211yescharacteristic
41#17989290C2211yescharacteristic
42#17989289C2211yescharacteristic
43#17989288—21no—
44#17989281C2211yescharacteristic
45#17989280—21no—
46#17989279C2211yescharacteristic
47#17989276C2211yescharacteristic
48#17989275C2211yescharacteristic
49#17989273—21no—
50#17989270—21no—
51#17989242C2211yescharacteristic
52#17989241C2211yescharacteristic
53#17989238C2211yescharacteristic
54#17989237C2211yescharacteristic
55#17989235—21no—
56#17989235—21no—
57#17989217C2211yescharacteristic
58#17989217C2211yescharacteristic
59#17989185—21no—
60#17989180—21no—
61#17989178—21no—
62#17989178—21no—
63#17989167C2211yescharacteristic
64#17989166C2211yescharacteristic
65#17989100C2211yescharacteristic
66#17989099—21no—
67#17989097—21no—
68#17989097C2211yescharacteristic
69#17989096—21no—
70#17989096C2211yescharacteristic
71#17989095—21no—
72#17989069C2211yescharacteristic
73#17989067C2211yescharacteristic
74#17989067C2211yescharacteristic
75#17989066C2211yescharacteristic
76C2×C4⋊C4×D73C2211yescharacteristic
77C2×C4⋊C4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988997C2211yescharacteristic, complemented
80#17988995C2211yescharacteristic, complemented
81#17988995C2211yescharacteristic, complemented
82#17988987C2211yescharacteristic, complemented
83#17988985C2211yescharacteristic, complemented
84#17988984C2211yescharacteristic, complemented
85#17988930C2211yescharacteristic, complemented
86#17988928C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic
89#17988924C2211yescharacteristic
90#17988920C2211yescharacteristic
91#17988919C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic
93#17988918C2211yescharacteristic, complemented
94#17988917C2211yescharacteristic
95#17988916C2211yescharacteristic
96#17988916C2211yescharacteristic
97#17988916C2211yescharacteristic, complemented
98#17988915C2211yescharacteristic, complemented
99#17988914C2211yescharacteristic, complemented
100#17988911C2211yescharacteristic, complemented
101#17988910C2211yescharacteristic, complemented
102#17988907C2211yescharacteristic, complemented
103#17988906C2211yescharacteristic
104#17988906C2211yescharacteristic, complemented
105#17988905C2211yescharacteristic
106#17988904C2211yescharacteristic
107#17988904C2211yescharacteristic
108#17988904C2211yescharacteristic, complemented
109#17988903C2211yescharacteristic, complemented
110#17988902C2211yescharacteristic
111#17988902C2211yescharacteristic
112#17988898C2211yescharacteristic
113#17988893C2211yescharacteristic, complemented
114#17988892C2211yescharacteristic, complemented
115#17988891C2211yescharacteristic, complemented
116#17988890C2211yescharacteristic, complemented
117#17988889C2211yescharacteristic, complemented
118#17988884C2211yescharacteristic, complemented
119#17988878C2211yescharacteristic, complemented
120#17988877C2211yescharacteristic, complemented
121#17988876C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic, complemented
123#17988873C2211yescharacteristic, complemented
124#17988872C2211yescharacteristic, complemented
125#17988871C2211yescharacteristic, complemented
126#17988870C2211yescharacteristic, complemented
127#17988844C2211yescharacteristic, complemented
128#17988843C2211yescharacteristic, complemented
129#17988839C2211yescharacteristic, complemented
130#17988838C2211yescharacteristic, complemented
131#17988827C2211yescharacteristic
132#17988826C2211yescharacteristic
133#17988822C2211yescharacteristic
134#17988821C2211yescharacteristic
135#17988817C2211yescharacteristic
136#17988817C2211yescharacteristic, complemented
137#17988816C2211yescharacteristic
138#17988816C2211yescharacteristic, complemented
139#17988813C2211yescharacteristic
140#17988813C2211yescharacteristic, complemented
141#17988697C2211yescharacteristic, complemented
142#17988696C2211yescharacteristic, complemented
143#17988692C2211yescharacteristic, complemented
144#17988691C2211yescharacteristic, complemented
145C4×#11924017C2211yescharacteristic, complemented
146SD16×Dic73C2211yescharacteristic, complemented
147#17988674C2211yescharacteristic, complemented
148#17988661C2211yescharacteristic
149#17988659C2211yescharacteristic
150#17988657C2211yescharacteristic
151#17988655C2211yescharacteristic
152C8×D292C2211yescharacteristic
153C8×C22⋊D73C2211yescharacteristic
154C8×C22⋊D73C2211yescharacteristic
155#17988630C2211yescharacteristic, complemented
156#17988630C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic
158#17988628C2211yescharacteristic
159#17988628C2211yescharacteristic
160#17988628C2211yescharacteristic
161#17988628C2211yescharacteristic, complemented
162#17988628C2211yescharacteristic, complemented
163#17988622C2211yescharacteristic
164#17988622C2211yescharacteristic, complemented
165C2×#14556523C2211yescharacteristic
166C2×#14556523C2211yescharacteristic, complemented
167C2×#14556522C2211yescharacteristic
168C2×#14556522C2211yescharacteristic
169#106×D73C2211yescharacteristic
170#106×D73C2211yescharacteristic
171#106×D73C2211yescharacteristic
172#106×D73C2211yescharacteristic
173#106×D73C2211yescharacteristic
174#106×D73C2211yescharacteristic
175#106×D73C2211yescharacteristic
176#106×D73C2211yescharacteristic
177#106×D73C2211yescharacteristic, complemented
178#17988612C2211yescharacteristic
179#17988587C2211yescharacteristic
180#17988587C2211yescharacteristic
181#17988585C2211yescharacteristic
182#17988585C2211yescharacteristic
183#17988582C2211yescharacteristic
184#17988580C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988549C2211yescharacteristic
187#17988541C2211yescharacteristic
188#553×C73C2211yescharacteristic
189#552×C73C2211yescharacteristic
190#499×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic
195#479×C73C2211yescharacteristic, complemented
196#478×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic
198#465×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic
201#427×C73C2211yescharacteristic, complemented
202C2×#106×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210C22×C4×D73—21no—
211C22×C4×D73—21no—
212C22×C4×D73C2311yescharacteristic
213#14556612—24no—
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924013C2311yescharacteristic
217#14556597—24no—
218C2×#11924012C2311yescharacteristic
219C2×#11924011C2311yescharacteristic
220C2×#11924011C2311yescharacteristic
221C2×#11924011C2311yescharacteristic
222C22×#10596831C2311yescharacteristic
223C2×C8×D73—24no—
224C2×C8×D73C2311yescharacteristic
225C2×C8×D73C2311yescharacteristic
226C2×C8×D73C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229#14556591C2311yescharacteristic
230#14556591C2311yescharacteristic
231#14556590—21no—
232#14556590—21no—
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556585—21no—
239#14556584—21no—
240#14556584—21no—
241#14556583—21no—
242#14556583—21no—
243#14556582—21no—
244#14556582—21no—
245#14556582—21no—
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556576—21no—
253#14556576—21no—
254#14556576—21no—
255#14556576—21no—
256#14556576D411yescharacteristic
257#14556575—21no—
258#14556575—21no—
259#14556575—21no—
260#14556575—21no—
261#14556574—21no—
262#14556573—21no—
263#14556573—21no—
264#14556573—21no—
265#14556573—21no—
266#14556573—21no—
267#14556573—21no—
268#14556573D411yescharacteristic
269#14556572—21no—
270#14556571—21no—
271#14556571—21no—
272#14556571—21no—
273#14556571—21no—
274#14556571C2311yescharacteristic
275#14556571C2311yescharacteristic
276#14556570—21no—
277#14556570—21no—
278#14556570C2311yescharacteristic
279#14556570C2311yescharacteristic
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569D411yescharacteristic
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568D411yescharacteristic
294#14556567C2311yescharacteristic
295#14556567C2311yescharacteristic
296#14556566—21no—
297#14556566—21no—
298#14556566C2311yescharacteristic
299#14556566C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564D411yescharacteristic
307#14556563—21no—
308#14556563—21no—
309#14556563D411yescharacteristic
310#14556562—21no—
311#14556562C2311yescharacteristic
312#14556562C2311yescharacteristic
313#14556561—21no—
314#14556561D411yescharacteristic
315#14556559—21no—
316#14556559D411yescharacteristic
317Q8×Dic73C2311yescharacteristic
318C4×Dic146—21no—
319C4×Dic146—21no—
320C4×Dic146C2311yescharacteristic
321#14556556C2311yescharacteristic
322C4×D292—21no—
323C4×D292—21no—
324C4×D292—21no—
325C4×D292—21no—
326C4×D292—21no—
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73C2311yescharacteristic
333#14556553—21no—
334#14556553—21no—
335#14556553—21no—
336#14556553C2311yescharacteristic
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73C2311yescharacteristic
340C4×C22⋊D73C2311yescharacteristic
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556549—21no—
350#14556549C2311yescharacteristic
351#14556549C2311yescharacteristic
352#14556549C2311yescharacteristic
353#14556549C2311yescharacteristic
354#14556548—21no—
355#14556548—21no—
356#14556548C2311yescharacteristic
357#14556547—21no—
358#14556547—21no—
359C2×C4⋊Dic73C2311yescharacteristic
360C2×C4⋊Dic73C2311yescharacteristic
361C2×C4⋊Dic73C2311yescharacteristic
362C2×C4⋊Dic73C2311yescharacteristic
363C2×#11924007—21no—
364C2×#11924007—21no—
365C2×#11924007—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C4⋊C4×D73C2311yescharacteristic
378C4⋊C4×D73C2311yescharacteristic
379C4⋊C4×D73C2311yescharacteristic
380C4⋊C4×D73C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403#14556522C2311yescharacteristic
404#14556522C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556522C2311yescharacteristic
408C4⋊#10596831C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C22×C8×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441#126×C73—21no—
442#126×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#125×C73C2311yescharacteristic
446#123×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73C2×D411yescharacteristic
482#11924029—22no—
483#11924029—22no—
484#11924028—22no—
485#11924028—22no—
486#11924028—82no—
487#11924028—82no—
488#11924027—22no—
489#11924027—22no—
490#11924027—82no—
491#11924027—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292C2×D411yescharacteristic
502C2×D292C2×D411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511C2×C22⋊D73C2×D411yescharacteristic
512C2×C22⋊D73C2×D411yescharacteristic
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73C2×D411yescharacteristic
520C2×C4×D73—22no—
521C2×C4×D73—22no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—82no—
536C2×C4×D73—82no—
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541C2×C4×D73C2411yescharacteristic
542#11924018—22no—
543#11924017—22no—
544#11924013—22no—
545#11924012—22no—
546#11924011—22no—
547#11924011—22no—
548#11924011—22no—
549C2×#10596831—22no—
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C8×D73—22no—
555C8×D73—22no—
556C8×D73—22no—
557C8×D73—22no—
558C8×D73#4114yescomplemented
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2411yescharacteristic
636C2×Q8×C73C2411yescharacteristic
637C2×D4×C73—21no—
638C2×D4×C73—21no—
639C2×D4×C73C2×D411yescharacteristic
640C2×D4×C73C2411yescharacteristic
641C22×C4×C73—21no—
642C22×C4×C73—21no—
643C22×C4×C73—21no—
644C22×C4×C73C2411yescharacteristic
645C22×C4×C73C2411yescharacteristic
646SD16×C73—22no—
647C2×C8×C73—22no—
648C2×C8×C73—22no—
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×C73—21no—
658C4⋊C4×C73—21no—
659C4⋊C4×C73—21no—
660C4⋊C4×C73—21no—
661C4⋊C4×C73—21no—
662C4⋊C4×C73C2×D411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C4⋊C4×C73C2411yescharacteristic
665C4⋊C4×C73C2411yescharacteristic
666C4⋊C4×C73C2411yescharacteristic
667C4⋊C4×C73C2411yescharacteristic
668C4⋊C4×C73C2411yescharacteristic
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73—21no—
672C22⋊C4×C73—21no—
673C22⋊C4×C73—21no—
674C22⋊C4×C73—21no—
675C22⋊C4×C73—21no—
676C22⋊C4×C73C2×D411yescharacteristic
677C22⋊C4×C73C2×D411yescharacteristic
678C42×C73—21no—
679C42×C73—21no—
680C42×C73—21no—
681C42×C73C2411yescharacteristic
682C23×C73—21no—
683C23×C73C22×D411yescharacteristic
684C23×C73C22×D411yescharacteristic
685C22×D73—22no—
686C22×D73—22no—
687C22×D73—22no—
688C22×D73—21no—
689C22×D73C22×D411yescharacteristic
690C22×D73C22×D411yescharacteristic
691C22×D73C22×D411yescharacteristic
692Q8×C73—21no—
693Q8×C73—21no—
694D4×C73—22no—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—42no—
698D4×C73—81no—
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—21no—
709C2×C4×C73—21no—
710C2×C4×C73—42no—
711C2×C4×C73—81no—
712C2×C4×C73—81no—
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C2511yescharacteristic
718C22⋊D73—22no—
719C22⋊D73—22no—
720C22⋊D73—22no—
721C22⋊D73—22no—
722C22⋊D73—42no—
723C22⋊D73—42no—
724C22⋊D73—42no—
725C22⋊D73—81no—
726C22⋊D73—81no—
727C2×Dic73—22no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—42no—
736C2×Dic73—42no—
737C2×Dic73—81no—
738C2×Dic73—81no—
739C2×Dic73—81no—
740C2×Dic73—81no—
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746D292—22no—
747D292—22no—
748D292—21no—
749D292—21no—
750D292—42no—
751D292—42no—
752D292—81no—
753C4×D73—22no—
754C4×D73—21no—
755C4×D73—21no—
756C4×D73—21no—
757C4×D73—21no—
758C4×D73—22no—
759C4×D73—42no—
760C4×D73—42no—
761C4×D73—42no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766C4×D73—81no—
767C4×D73—81no—
768C4×D73—81no—
769C4×D73—81no—
770C4×D73—81no—
771C4×D73—81no—
772C4×D73C2×#4112yes—
773C4×D732−1+412yes—
774Dic146—22no—
775Dic146—21no—
776Dic146—21no—
777Dic146—81no—
778Dic146—81no—
779Dic146—81no—
780Dic146—81no—
781C8×C73—21no—
782C8×C73—21no—
783C8×C73—21no—
784C8×C73C2×#4112yes—
785#10596831—21no—
786#10596831—21no—
787#10596831—21no—
788#10596831C2×#4112yes—
789C22×C73—21no—
790C22×C73—21no—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—41no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73#57712yes—
798C22×C73C23×D411yescharacteristic
799C2×D73—28no—
800C2×D73—21no—
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#54712yes—
811C2×D73#57712yes—
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×C73—41no—
823C4×C73C22×#4111yescharacteristic
824C4×C73C2×2−1+411yescharacteristic
825Dic73—21no—
826Dic73—21no—
827Dic73—21no—
828Dic73—21no—
829Dic73—41no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73#54712yes—
837#61259—731nomaximal, Sylow
838C2×C73—22no—
839C2×C73—41no—
840C2×C73—81no—
841C2×C73C2×#54711yescharacteristic
842C2×C73C2×#57711yescharacteristic
843C2×C73C2×#57711yescharacteristic
844D73—22no—
845D73—22no—
846D73—41no—
847D73—81no—
848#3492—731no—
849#3492—731no—
850#3345—731no—
851#3345—731no—
852#3345—731no—
853#3345—731no—
854#3344—731no—
855#3344—731no—
856#3344—731no—
857#3344—731no—
858#3337—731no—
859#3337—731no—
860#3337—731no—
861#3337D7311yescharacteristic, complemented
862#3335—731no—
863#3335—731no—
864#3335—731no—
865#3335—731no—
866#3163—731no—
867#3099—731no—
868#3099—731no—
869#3092—731no—
870#3092—731no—
871#3084—731no—
872#3084—731no—
873#3060—731no—
874#3050—731no—
875#2952—731no—
876#2929—731no—
877#2912—731no—
878C22×#106—731no—
879C73#6125911yescharacteristic, complemented, Sylow
880C2×#135—731no—
881C2×#131—731no—
882C23×C8—731no—
883#554—731no—
884#554—731no—
885#554—731no—
886#554—731no—
887#554—1461no—
888#554—1461no—
889#553—731no—
890#553—731no—
891#553—731no—
892#553—1461no—
893#553—1461no—
894#553C2×D7311yescharacteristic
895#552—731no—
896#552—731no—
897#552—731no—
898#552—1461no—
899#552—1461no—
900#552C2×D7311yescharacteristic
901#547—731no—
902#547—731no—
903#547—731no—
904#547—731no—
905#547—1461no—
906#547—1461no—
907#544—731no—
908#544—731no—
909#539—1461no—
910#539—1461no—
911#539—1461no—
912#539—1461no—
913#537—731no—
914#537—731no—
915#525—731no—
916#525—731no—
917#525—731no—
918#525—1461no—
919#525—1461no—
920#525—1461no—
921#525—1461no—
922#520—731no—
923#520—731no—
924#520—731no—
925#520—731no—
926C22×C4⋊C4—731no—
927C22×C4⋊C4—731no—
928#501—731no—
929#501—731no—
930#501—731no—
931#501—731no—
932#499—731no—
933#499C2×D7311yescharacteristic, complemented
934#498—731no—
935#498—731no—
936#485—731no—
937#485—731no—
938#485—731no—
939#485C2×D7311yescharacteristic, complemented
940#484—731no—
941#484—731no—
942#484—731no—
943#484C2×D7311yescharacteristic
944#483—731no—
945#483—731no—
946#483—731no—
947#483—731no—
948#483—731no—
949#483—731no—
950#483—731no—
951#483—731no—
952#482—731no—
953#482—731no—
954#482—731no—
955#482C2×D7311yescharacteristic, complemented
956#481—731no—
957#481—731no—
958#481—731no—
959#481—731no—
960#481—731no—
961#481—731no—
962#481—731no—
963#481—731no—
964#480—731no—
965#480—731no—
966#480—731no—
967#480C2×D7311yescharacteristic
968#479—731no—
969#479—731no—
970#479—731no—
971#479C2×D7311yescharacteristic, complemented
972#478—731no—
973#478—731no—
974#478—731no—
975#478C2×D7311yescharacteristic, complemented
976#476—731no—
977#476—731no—
978#476—731no—
979#476—731no—
980#475—731no—
981#475—731no—
982#475—731no—
983#475—731no—
984#470—731no—
985#470—731no—
986#469—731no—
987#469—731no—
988#467—731no—
989#467—731no—
990#466—731no—
991#466—731no—
992#465—731no—
993#465—731no—
994#465—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465C2×D7311yescharacteristic
999#465C2×D7311yescharacteristic, complemented
1000#442—731no—
1001#442—731no—
1002#441—731no—
1003#441—731no—
1004C4×SD16—731no—
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16C2×D7311yescharacteristic, complemented
1008#435—731no—
1009#435—731no—
1010#435—731no—
1011#435—731no—
1012C8×D4—731no—
1013C8×D4—731no—
1014C8×D4—731no—
1015C8×D4C2×D7311yescharacteristic
1016#428—731no—
1017#428—731no—
1018#428—731no—
1019#428—731no—
1020#428—731no—
1021#428—731no—
1022#428—731no—
1023#428—731no—
1024#427—731no—
1025#427—731no—
1026#427C2×D7311yescharacteristic, complemented
1027C2×#106—731no—
1028C2×#106—731no—
1029C2×#106—731no—
1030C2×#106—731no—
1031C2×#106—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106—731no—
1035C2×#106—731no—
1036C2×#106—731no—
1037C2×#106—731no—
1038C2×#106—731no—
1039C2×#106—731no—
1040C2×#106C2×D7311yescharacteristic
1041#424—731no—
1042#417—731no—
1043#417—731no—
1044#417—731no—
1045#417—731no—
1046#416—731no—
1047#416—731no—
1048#408—731no—
1049#407—731no—
1050#405—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—731no—
1054C2×#41—1461no—
1055C2×#41—1461no—
1056C2×#41—1461no—
1057C2×#41—1461no—
1058C23×C4—731no—
1059C23×C4—1461no—
1060C23×C4—1461no—
1061#135—1464no—
1062C2×Q16—731no—
1063C2×SD16—731no—
1064C2×SD16C22×D7311yescharacteristic
1065C2×D8—731no—
1066#131—1464no—
1067C2×M16—731no—
1068C2×M16—731no—
1069C2×M16—731no—
1070C2×M16—731no—
1071C22×C8—731no—
1072C22×C8—731no—
1073C22×C8—731no—
1074C22×C8—731no—
1075C22×C8—731no—
1076C22×C8—731no—
1077C22×C8—1464no—
1078C22×C8C22×D7311yescharacteristic
1079C22×C8C22×D7311yescharacteristic
1080C4⋊Q8—731no—
1081C4⋊Q8—731no—
1082C4⋊Q8—731no—
1083C4⋊Q8—731no—
1084C4⋊Q8—1461no—
1085C4⋊Q8—1461no—
1086#126—21no—
1087#126—21no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#125—21no—
1095#125—731no—
1096#125—731no—
1097#125—1461no—
1098#125—1461no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#125C22×D7311yescharacteristic
1107#125C22×D7311yescharacteristic
1108#123—21no—
1109#123—21no—
1110#123—731no—
1111#123—731no—
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—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—731no—
1135C22⋊Q8—731no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—21no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
1160#121—731no—
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121C22×D7311yescharacteristic
1175#121C22×D7311yescharacteristic
1176#120—731no—
1177#120—731no—
1178#120—1461no—
1179#120—1461no—
1180C4×Q8—731no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8C22×D7311yescharacteristic
1186C4×D4—21no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
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×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×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216#117—21no—
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117C22×D7311yescharacteristic
1228#117C22×D7311yescharacteristic
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—731no—
1232C2×C4⋊C4—731no—
1233C2×C4⋊C4—731no—
1234C2×C4⋊C4—731no—
1235C2×C4⋊C4—731no—
1236C2×C4⋊C4—731no—
1237C2×C4⋊C4—731no—
1238C2×C4⋊C4—731no—
1239C2×C4⋊C4—731no—
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×C4⋊C4—1461no—
1248C2×C4⋊C4—1461no—
1249C2×C4⋊C4—1461no—
1250C2×C4⋊C4—1461no—
1251C2×C4⋊C4C22×D7311yescharacteristic
1252C2×C4⋊C4C22×D7311yescharacteristic
1253#107—731no—
1254#107—731no—
1255#107—731no—
1256#107—731no—
1257#107—731no—
1258#107—731no—
1259#107C22×D7311yescharacteristic
1260#107C22×D7311yescharacteristic
1261#107C22×D7311yescharacteristic
1262#107C22×D7311yescharacteristic
1263#106—731no—
1264#106—731no—
1265#106—731no—
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106—731no—
1273#106—731no—
1274#106—731no—
1275#106—731no—
1276#106—731no—
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106—731no—
1282#106—731no—
1283#106—731no—
1284#106C22×D7311yescharacteristic
1285#106C22×D7311yescharacteristic
1286#106C22×D7311yescharacteristic
1287#106C22×D7311yescharacteristic
1288#106C22×D7311yescharacteristic
1289C4⋊C8—731no—
1290C4⋊C8—731no—
1291C4⋊C8—731no—
1292C4⋊C8C22×D7311yescharacteristic
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102C22×D7311yescharacteristic
1315#102C22×D7311yescharacteristic
1316#102C22×D7311yescharacteristic
1317C22⋊C8—731no—
1318C22⋊C8—731no—
1319C22⋊C8—731no—
1320C22⋊C8—731no—
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8C22×D7311yescharacteristic
1324C22⋊C8C22×D7311yescharacteristic
1325#97—731no—
1326#97—731no—
1327C4×C8—731no—
1328C4×C8C22×D7311yescharacteristic
1329C24—731no—
1330#41—5842no—
1331#41—5842no—
1332#41—5842no—
1333#41—5842no—
1334#41—1462no—
1335#41—1462no—
1336#41—1462no—
1337#41—1462no—
1338#41—1462no—
1339#41—1462no—
1340C2×Q8—731no—
1341C2×Q8—731no—
1342C2×Q8—1461no—
1343C2×Q8—1461no—
1344C2×Q8—1461no—
1345C2×Q8—1461no—
1346C2×Q8C23×D7311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—731no—
1350C2×D4—731no—
1351C2×D4—731no—
1352C2×D4—731no—
1353C2×D4—731no—
1354C2×D4—731no—
1355C2×D4—731no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4D4×D7311yescharacteristic
1365C2×D4C23×D7311yescharacteristic
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—5842no—
1370C22×C4—5842no—
1371C22×C4—731no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—1461no—
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—1462no—
1390C22×C4—1462no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4C23×D7311yescharacteristic
1399C22×C4C23×D7311yescharacteristic
1400Q16—1462no—
1401SD16—22no—
1402SD16—1462no—
1403D8—1462no—
1404M16—1462no—
1405M16—1462no—
1406M16—1462no—
1407M16—1462no—
1408C2×C8—22no—
1409C2×C8—22no—
1410C2×C8—731no—
1411C2×C8—734no—
1412C2×C8—731no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—1462no—
1416C2×C8—1462no—
1417C2×C8—1462no—
1418C2×C8—1462no—
1419C2×C8—1462no—
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C2×C8C23×D7311yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—731no—
1439C4⋊C4—731no—
1440C4⋊C4—731no—
1441C4⋊C4—731no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
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⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4D4×D7311yescharacteristic
1476C4⋊C4C23×D7311yescharacteristic
1477C4⋊C4C23×D7311yescharacteristic
1478C4⋊C4C23×D7311yescharacteristic
1479C4⋊C4C23×D7311yescharacteristic
1480C4⋊C4C23×D7311yescharacteristic
1481C4⋊C4C23×D7311yescharacteristic
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—731no—
1490C22⋊C4—731no—
1491C22⋊C4—731no—
1492C22⋊C4—731no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—731no—
1496C22⋊C4—731no—
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—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4D4×D7311yescharacteristic
1517C22⋊C4D4×D7311yescharacteristic
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—731no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42C23×D7311yescharacteristic
1530C23—21no—
1531C23—731no—
1532C23—731no—
1533C23—731no—
1534C23—1462no—
1535C23—1462no—
1536C23—1461no—
1537C23—1462no—
1538C23C2×D4×D7311yescharacteristic
1539C23C2×D4×D7311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—5841no—
1543Q8—5841no—
1544Q8—5841no—
1545Q8—5841no—
1546Q8—1462no—
1547Q8—1461no—
1548Q8—1461no—
1549D4—22no—
1550D4—21no—
1551D4—21no—
1552D4—42no—
1553D4—81no—
1554D4—2922no—
1555D4—2922no—
1556D4—2922no—
1557D4—2922no—
1558D4—2922no—
1559D4—5841no—
1560D4—5841no—
1561D4—5841no—
1562D4—1462no—
1563D4—1462no—
1564D4—1462no—
1565D4—1462no—
1566D4—1462no—
1567D4—1462no—
1568D4—1461no—
1569D4—1461no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—42no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—2922no—
1585C2×C4—2922no—
1586C2×C4—2922no—
1587C2×C4—2922no—
1588C2×C4—2922no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—5841no—
1594C2×C4—5841no—
1595C2×C4—5841no—
1596C2×C4—5841no—
1597C2×C4—5841no—
1598C2×C4—5841no—
1599C2×C4—5841no—
1600C2×C4—5841no—
1601C2×C4—5841no—
1602C2×C4—5841no—
1603C2×C4—731no—
1604C2×C4—732no—
1605C2×C4—732no—
1606C2×C4—731no—
1607C2×C4—731no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—1462no—
1611C2×C4—1462no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1462no—
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×C4C24×D7311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—732no—
1633C8—1461no—
1634C8—1461no—
1635C8—1461no—
1636C8#41×D7312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—2921no—
1646C22—2921no—
1647C22—2921no—
1648C22—732no—
1649C22—732no—
1650C22—1468no—
1651C22—1461no—
1652C22—1461no—
1653C22—1461no—
1654C22—1461no—
1655C22—1461no—
1656C22—1461no—
1657C22—1461no—
1658C22#1798939412yes—
1659C22C22×D4×D7311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—2921no—
1675C4—2921no—
1676C4—2921no—
1677C4—2921no—
1678C4—732no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4—1461no—
1683C4C2×#41×D7311yescharacteristic
1684C42−1+4×D7311yescharacteristic
1685C2—22no—
1686C2—41no—
1687C2—81no—
1688C2—2921no—
1689C2—5841no—
1690C2—1462no—
1691C2—1462no—
1692C2#547×D7311yescharacteristic
1693C2#577×D7311yescharacteristic
1694C2C2×#1798939411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3337C2
socleC22×C73C23×D4
hypercenter#3337D73
hypocenterC73#61259
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3337

Complements

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

NH ≅ G/Ntype
1. #22623635C2semidirect
2. #22623631C2semidirect
3. #22622405C2semidirect
4. #22622404C2semidirect
5. #22622398C2semidirect
6. #22622395C2semidirect
7. #22622393C2semidirect
8. #22622386C2semidirect
9. #22622384C2semidirect
10. #22622379C2semidirect
11. #22622316C2semidirect
12. #22622311C2semidirect
13. #22622309C2semidirect
14. #22622290C2semidirect
15. #22622289C2semidirect
16. #22622284C2semidirect
17. #22622283C2semidirect
18. #22620460C2semidirect
19. #22619923C2semidirect
20. #22619917C2semidirect
21. #22619858C2semidirect
22. #22619850C2semidirect
23. #22619796C2semidirect
24. #22619794C2semidirect
25. #22619588C2semidirect
26. #22619507C2semidirect
27. #22618809C2semidirect
28. #22618620C2semidirect
29. #22618523C2semidirect
30. C2×#106×D73C2semidirect
31. C73×#3337C2semidirect
78. #17988997C22semidirect
79. #17988997C22semidirect
80. #17988995C22semidirect
81. #17988995C22semidirect
82. #17988987C22semidirect
83. #17988985C22semidirect
84. #17988984C22semidirect
85. #17988930C22semidirect
86. #17988928C22semidirect
87. #17988926C22semidirect
91. #17988919C22semidirect
93. #17988918C22semidirect
97. #17988916C22semidirect
98. #17988915C22semidirect
99. #17988914C22semidirect
100. #17988911C22semidirect
101. #17988910C22semidirect
102. #17988907C22semidirect
104. #17988906C22semidirect
108. #17988904C22semidirect
109. #17988903C22semidirect
113. #17988893C22semidirect
114. #17988892C22semidirect
115. #17988891C22semidirect
116. #17988890C22semidirect
117. #17988889C22semidirect
118. #17988884C22semidirect
119. #17988878C22semidirect
120. #17988877C22semidirect
121. #17988876C22semidirect
122. #17988875C22semidirect
123. #17988873C22semidirect
124. #17988872C22semidirect
125. #17988871C22semidirect
126. #17988870C22semidirect
127. #17988844C22semidirect
128. #17988843C22semidirect
129. #17988839C22semidirect
130. #17988838C22semidirect
136. #17988817C22semidirect
138. #17988816C22semidirect
140. #17988813C22semidirect
141. #17988697C22semidirect
142. #17988696C22semidirect
143. #17988692C22semidirect
144. #17988691C22semidirect
145. C4×#11924017C22semidirect
146. SD16×Dic73C22semidirect
147. #17988674C22semidirect
155. #17988630C22semidirect
156. #17988630C22semidirect
161. #17988628C22semidirect
162. #17988628C22semidirect
164. #17988622C22semidirect
166. C2×#14556523C22semidirect
177. #106×D73C22semidirect
190. #499×C73C22semidirect
191. #485×C73C22semidirect
193. #482×C73C22semidirect
195. #479×C73C22semidirect
196. #478×C73C22semidirect
198. #465×C73C22semidirect
199. C4×SD16×C73C22semidirect
201. #427×C73C22semidirect
558. C8×D73#41semidirect
861. #3337D73semidirect
879. C73#61259semidirect
933. #499C2×D73semidirect
939. #485C2×D73semidirect
955. #482C2×D73semidirect
971. #479C2×D73semidirect
975. #478C2×D73semidirect
999. #465C2×D73semidirect
1007. C4×SD16C2×D73semidirect
1026. #427C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236352
#226236312
#226224052
#226224042
#226223982
#226223952
#226223932
#226223862
#226223842
#226223792
#226223162
#226223112
#226223092
#226222902
#226222892
#226222842
#226222832
#226204602
#226199232
#226199172
#226198582
#226198502
#226197962
#226197942
#226195882
#226195072
#226188092
#226186202
#226185232
C2×#106×D732
C73×#33372
#6125973